0.002 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.160 * * * [progress]: [2/2] Setting up program.
0.164 * [progress]: [Phase 2 of 3] Improving.
0.164 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
0.164 * [simplify]: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
0.164 * * [simplify]: iters left: 6 (17 enodes)
0.171 * * [simplify]: iters left: 5 (70 enodes)
0.195 * * [simplify]: iters left: 4 (126 enodes)
0.244 * * [simplify]: iters left: 3 (281 enodes)
0.690 * * [simplify]: Extracting #0: cost 1 inf + 0
0.690 * * [simplify]: Extracting #1: cost 16 inf + 0
0.690 * * [simplify]: Extracting #2: cost 28 inf + 2
0.690 * * [simplify]: Extracting #3: cost 32 inf + 86
0.690 * * [simplify]: Extracting #4: cost 96 inf + 131
0.691 * * [simplify]: Extracting #5: cost 194 inf + 1852
0.696 * * [simplify]: Extracting #6: cost 83 inf + 25392
0.706 * * [simplify]: Extracting #7: cost 12 inf + 46431
0.717 * * [simplify]: Extracting #8: cost 1 inf + 50227
0.728 * * [simplify]: Extracting #9: cost 0 inf + 50662
0.739 * [simplify]: Simplified to (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))
0.739 * [simplify]: Simplified (2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))
0.753 * * [progress]: iteration 1 / 4
0.753 * * * [progress]: picking best candidate
0.763 * * * * [pick]: Picked  #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))>
0.763 * * * [progress]: localizing error
0.815 * * * [progress]: generating rewritten candidates
0.815 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1)
0.973 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
1.351 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1)
1.483 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 2)
1.500 * * * [progress]: generating series expansions
1.500 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1)
1.501 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
1.501 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0
1.501 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
1.501 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
1.501 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
1.501 * [taylor]: Taking taylor expansion of 1/4 in J
1.501 * [backup-simplify]: Simplify 1/4 into 1/4
1.501 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
1.501 * [taylor]: Taking taylor expansion of (pow U 2) in J
1.501 * [taylor]: Taking taylor expansion of U in J
1.501 * [backup-simplify]: Simplify U into U
1.501 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
1.501 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
1.501 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
1.501 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
1.501 * [taylor]: Taking taylor expansion of 1/2 in J
1.501 * [backup-simplify]: Simplify 1/2 into 1/2
1.501 * [taylor]: Taking taylor expansion of K in J
1.501 * [backup-simplify]: Simplify K into K
1.501 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.501 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.501 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.501 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.501 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.502 * [backup-simplify]: Simplify (- 0) into 0
1.502 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.502 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.502 * [taylor]: Taking taylor expansion of J in J
1.502 * [backup-simplify]: Simplify 0 into 0
1.502 * [backup-simplify]: Simplify 1 into 1
1.502 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.502 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
1.502 * [backup-simplify]: Simplify (* 1 1) into 1
1.502 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
1.503 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
1.503 * [taylor]: Taking taylor expansion of 1 in J
1.503 * [backup-simplify]: Simplify 1 into 1
1.503 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
1.503 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
1.503 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
1.503 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.504 * [backup-simplify]: Simplify (+ 0) into 0
1.504 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
1.504 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
1.505 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.505 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
1.505 * [backup-simplify]: Simplify (- 0) into 0
1.506 * [backup-simplify]: Simplify (+ 0 0) into 0
1.506 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
1.506 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
1.506 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
1.507 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
1.507 * [backup-simplify]: Simplify (+ 0 0) into 0
1.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
1.507 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
1.507 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
1.507 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
1.507 * [taylor]: Taking taylor expansion of 1/4 in K
1.507 * [backup-simplify]: Simplify 1/4 into 1/4
1.507 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
1.507 * [taylor]: Taking taylor expansion of (pow U 2) in K
1.507 * [taylor]: Taking taylor expansion of U in K
1.507 * [backup-simplify]: Simplify U into U
1.507 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
1.507 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
1.507 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
1.507 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
1.507 * [taylor]: Taking taylor expansion of 1/2 in K
1.507 * [backup-simplify]: Simplify 1/2 into 1/2
1.507 * [taylor]: Taking taylor expansion of K in K
1.507 * [backup-simplify]: Simplify 0 into 0
1.507 * [backup-simplify]: Simplify 1 into 1
1.508 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.508 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.508 * [taylor]: Taking taylor expansion of (pow J 2) in K
1.508 * [taylor]: Taking taylor expansion of J in K
1.508 * [backup-simplify]: Simplify J into J
1.508 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.509 * [backup-simplify]: Simplify (* 1 1) into 1
1.509 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.509 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
1.509 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
1.509 * [taylor]: Taking taylor expansion of 1 in K
1.509 * [backup-simplify]: Simplify 1 into 1
1.509 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
1.509 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
1.509 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
1.509 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.509 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.509 * [backup-simplify]: Simplify (+ 0) into 0
1.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
1.510 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
1.511 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
1.511 * [backup-simplify]: Simplify (+ 0 0) into 0
1.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
1.512 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
1.512 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
1.512 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
1.512 * [taylor]: Taking taylor expansion of 1/4 in U
1.512 * [backup-simplify]: Simplify 1/4 into 1/4
1.512 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
1.512 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.512 * [taylor]: Taking taylor expansion of U in U
1.512 * [backup-simplify]: Simplify 0 into 0
1.512 * [backup-simplify]: Simplify 1 into 1
1.512 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
1.512 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
1.512 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
1.512 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
1.512 * [taylor]: Taking taylor expansion of 1/2 in U
1.512 * [backup-simplify]: Simplify 1/2 into 1/2
1.512 * [taylor]: Taking taylor expansion of K in U
1.512 * [backup-simplify]: Simplify K into K
1.512 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.512 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.512 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.512 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.512 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.513 * [backup-simplify]: Simplify (- 0) into 0
1.513 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.513 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.513 * [taylor]: Taking taylor expansion of J in U
1.513 * [backup-simplify]: Simplify J into J
1.513 * [backup-simplify]: Simplify (* 1 1) into 1
1.513 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
1.513 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.513 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
1.514 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
1.514 * [taylor]: Taking taylor expansion of 1 in U
1.514 * [backup-simplify]: Simplify 1 into 1
1.514 * [backup-simplify]: Simplify (+ 0 1) into 1
1.515 * [backup-simplify]: Simplify (sqrt 1) into 1
1.515 * [backup-simplify]: Simplify (+ 0 0) into 0
1.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.516 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
1.516 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
1.516 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
1.516 * [taylor]: Taking taylor expansion of 1/4 in U
1.516 * [backup-simplify]: Simplify 1/4 into 1/4
1.516 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
1.516 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.516 * [taylor]: Taking taylor expansion of U in U
1.516 * [backup-simplify]: Simplify 0 into 0
1.516 * [backup-simplify]: Simplify 1 into 1
1.516 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
1.516 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
1.516 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
1.516 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
1.516 * [taylor]: Taking taylor expansion of 1/2 in U
1.516 * [backup-simplify]: Simplify 1/2 into 1/2
1.516 * [taylor]: Taking taylor expansion of K in U
1.516 * [backup-simplify]: Simplify K into K
1.516 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.516 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.516 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.516 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.517 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.517 * [backup-simplify]: Simplify (- 0) into 0
1.517 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.517 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.517 * [taylor]: Taking taylor expansion of J in U
1.517 * [backup-simplify]: Simplify J into J
1.517 * [backup-simplify]: Simplify (* 1 1) into 1
1.518 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
1.518 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.518 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
1.518 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
1.518 * [taylor]: Taking taylor expansion of 1 in U
1.518 * [backup-simplify]: Simplify 1 into 1
1.519 * [backup-simplify]: Simplify (+ 0 1) into 1
1.519 * [backup-simplify]: Simplify (sqrt 1) into 1
1.519 * [backup-simplify]: Simplify (+ 0 0) into 0
1.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.520 * [taylor]: Taking taylor expansion of 1 in K
1.520 * [backup-simplify]: Simplify 1 into 1
1.520 * [taylor]: Taking taylor expansion of 1 in J
1.520 * [backup-simplify]: Simplify 1 into 1
1.520 * [taylor]: Taking taylor expansion of 0 in K
1.520 * [backup-simplify]: Simplify 0 into 0
1.520 * [taylor]: Taking taylor expansion of 0 in J
1.520 * [backup-simplify]: Simplify 0 into 0
1.520 * [taylor]: Taking taylor expansion of 0 in J
1.520 * [backup-simplify]: Simplify 0 into 0
1.521 * [backup-simplify]: Simplify 1 into 1
1.521 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
1.521 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
1.522 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
1.522 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
1.522 * [taylor]: Taking taylor expansion of 1/8 in K
1.523 * [backup-simplify]: Simplify 1/8 into 1/8
1.523 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
1.523 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
1.523 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
1.523 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
1.523 * [taylor]: Taking taylor expansion of 1/2 in K
1.523 * [backup-simplify]: Simplify 1/2 into 1/2
1.523 * [taylor]: Taking taylor expansion of K in K
1.523 * [backup-simplify]: Simplify 0 into 0
1.523 * [backup-simplify]: Simplify 1 into 1
1.523 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.524 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.524 * [taylor]: Taking taylor expansion of (pow J 2) in K
1.524 * [taylor]: Taking taylor expansion of J in K
1.524 * [backup-simplify]: Simplify J into J
1.524 * [backup-simplify]: Simplify (* 1 1) into 1
1.525 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.525 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
1.525 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2))
1.525 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J
1.525 * [taylor]: Taking taylor expansion of 1/8 in J
1.525 * [backup-simplify]: Simplify 1/8 into 1/8
1.525 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.525 * [taylor]: Taking taylor expansion of J in J
1.525 * [backup-simplify]: Simplify 0 into 0
1.525 * [backup-simplify]: Simplify 1 into 1
1.525 * [backup-simplify]: Simplify (* 1 1) into 1
1.526 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8
1.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0
1.528 * [backup-simplify]: Simplify 0 into 0
1.528 * [taylor]: Taking taylor expansion of 0 in J
1.528 * [backup-simplify]: Simplify 0 into 0
1.528 * [taylor]: Taking taylor expansion of 0 in J
1.528 * [backup-simplify]: Simplify 0 into 0
1.528 * [backup-simplify]: Simplify 0 into 0
1.528 * [backup-simplify]: Simplify 0 into 0
1.528 * [backup-simplify]: Simplify 0 into 0
1.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.529 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.529 * [backup-simplify]: Simplify (+ 0) into 0
1.530 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
1.530 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
1.531 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.531 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
1.531 * [backup-simplify]: Simplify (- 0) into 0
1.532 * [backup-simplify]: Simplify (+ 0 0) into 0
1.532 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
1.532 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
1.532 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
1.533 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
1.533 * [backup-simplify]: Simplify (+ 0 0) into 0
1.533 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
1.533 * [taylor]: Taking taylor expansion of 0 in K
1.533 * [backup-simplify]: Simplify 0 into 0
1.533 * [taylor]: Taking taylor expansion of 0 in J
1.533 * [backup-simplify]: Simplify 0 into 0
1.533 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.534 * [backup-simplify]: Simplify (+ 0) into 0
1.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
1.535 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0
1.535 * [taylor]: Taking taylor expansion of 0 in J
1.535 * [backup-simplify]: Simplify 0 into 0
1.535 * [taylor]: Taking taylor expansion of 0 in J
1.535 * [backup-simplify]: Simplify 0 into 0
1.535 * [taylor]: Taking taylor expansion of 0 in J
1.535 * [backup-simplify]: Simplify 0 into 0
1.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.536 * [backup-simplify]: Simplify 0 into 0
1.536 * [backup-simplify]: Simplify 0 into 0
1.536 * [backup-simplify]: Simplify 1 into 1
1.536 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
1.536 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0
1.536 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
1.536 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
1.536 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
1.536 * [taylor]: Taking taylor expansion of 1/4 in J
1.536 * [backup-simplify]: Simplify 1/4 into 1/4
1.536 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
1.536 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.536 * [taylor]: Taking taylor expansion of J in J
1.536 * [backup-simplify]: Simplify 0 into 0
1.536 * [backup-simplify]: Simplify 1 into 1
1.536 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
1.536 * [taylor]: Taking taylor expansion of (pow U 2) in J
1.536 * [taylor]: Taking taylor expansion of U in J
1.536 * [backup-simplify]: Simplify U into U
1.536 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
1.537 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
1.537 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
1.537 * [taylor]: Taking taylor expansion of 1/2 in J
1.537 * [backup-simplify]: Simplify 1/2 into 1/2
1.537 * [taylor]: Taking taylor expansion of K in J
1.537 * [backup-simplify]: Simplify K into K
1.537 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.537 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.537 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.537 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.537 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.537 * [backup-simplify]: Simplify (- 0) into 0
1.537 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.537 * [backup-simplify]: Simplify (* 1 1) into 1
1.537 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.537 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.538 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
1.538 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
1.538 * [taylor]: Taking taylor expansion of 1 in J
1.538 * [backup-simplify]: Simplify 1 into 1
1.538 * [backup-simplify]: Simplify (+ 0 1) into 1
1.538 * [backup-simplify]: Simplify (sqrt 1) into 1
1.538 * [backup-simplify]: Simplify (+ 0 0) into 0
1.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.539 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
1.539 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
1.539 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
1.539 * [taylor]: Taking taylor expansion of 1/4 in K
1.539 * [backup-simplify]: Simplify 1/4 into 1/4
1.539 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
1.539 * [taylor]: Taking taylor expansion of (pow J 2) in K
1.539 * [taylor]: Taking taylor expansion of J in K
1.539 * [backup-simplify]: Simplify J into J
1.539 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
1.539 * [taylor]: Taking taylor expansion of (pow U 2) in K
1.539 * [taylor]: Taking taylor expansion of U in K
1.539 * [backup-simplify]: Simplify U into U
1.539 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
1.539 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
1.539 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
1.539 * [taylor]: Taking taylor expansion of 1/2 in K
1.539 * [backup-simplify]: Simplify 1/2 into 1/2
1.539 * [taylor]: Taking taylor expansion of K in K
1.539 * [backup-simplify]: Simplify 0 into 0
1.539 * [backup-simplify]: Simplify 1 into 1
1.540 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.540 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.540 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.540 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.540 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.540 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
1.540 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
1.540 * [taylor]: Taking taylor expansion of 1 in K
1.540 * [backup-simplify]: Simplify 1 into 1
1.540 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
1.541 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
1.541 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
1.541 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.541 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
1.541 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.541 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
1.541 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
1.542 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
1.542 * [backup-simplify]: Simplify (+ 0 0) into 0
1.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
1.542 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
1.542 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
1.542 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
1.542 * [taylor]: Taking taylor expansion of 1/4 in U
1.542 * [backup-simplify]: Simplify 1/4 into 1/4
1.542 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
1.542 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.542 * [taylor]: Taking taylor expansion of J in U
1.542 * [backup-simplify]: Simplify J into J
1.542 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
1.542 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.543 * [taylor]: Taking taylor expansion of U in U
1.543 * [backup-simplify]: Simplify 0 into 0
1.543 * [backup-simplify]: Simplify 1 into 1
1.543 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
1.543 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
1.543 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
1.543 * [taylor]: Taking taylor expansion of 1/2 in U
1.543 * [backup-simplify]: Simplify 1/2 into 1/2
1.543 * [taylor]: Taking taylor expansion of K in U
1.543 * [backup-simplify]: Simplify K into K
1.543 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.543 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.543 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.543 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.543 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.543 * [backup-simplify]: Simplify (- 0) into 0
1.543 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.543 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.544 * [backup-simplify]: Simplify (* 1 1) into 1
1.544 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.544 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
1.544 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
1.544 * [taylor]: Taking taylor expansion of 1 in U
1.544 * [backup-simplify]: Simplify 1 into 1
1.544 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
1.544 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
1.544 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
1.544 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.545 * [backup-simplify]: Simplify (+ 0) into 0
1.545 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.545 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.545 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.546 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.546 * [backup-simplify]: Simplify (- 0) into 0
1.546 * [backup-simplify]: Simplify (+ 0 0) into 0
1.546 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
1.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
1.547 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
1.548 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
1.548 * [backup-simplify]: Simplify (+ 0 0) into 0
1.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
1.548 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
1.548 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
1.548 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
1.548 * [taylor]: Taking taylor expansion of 1/4 in U
1.548 * [backup-simplify]: Simplify 1/4 into 1/4
1.548 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
1.548 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.548 * [taylor]: Taking taylor expansion of J in U
1.548 * [backup-simplify]: Simplify J into J
1.548 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
1.548 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.548 * [taylor]: Taking taylor expansion of U in U
1.548 * [backup-simplify]: Simplify 0 into 0
1.548 * [backup-simplify]: Simplify 1 into 1
1.548 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
1.548 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
1.548 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
1.548 * [taylor]: Taking taylor expansion of 1/2 in U
1.548 * [backup-simplify]: Simplify 1/2 into 1/2
1.548 * [taylor]: Taking taylor expansion of K in U
1.548 * [backup-simplify]: Simplify K into K
1.548 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.549 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.549 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.549 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.549 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.549 * [backup-simplify]: Simplify (- 0) into 0
1.549 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.549 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.549 * [backup-simplify]: Simplify (* 1 1) into 1
1.549 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.549 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
1.550 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
1.550 * [taylor]: Taking taylor expansion of 1 in U
1.550 * [backup-simplify]: Simplify 1 into 1
1.550 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
1.550 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
1.550 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
1.550 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.550 * [backup-simplify]: Simplify (+ 0) into 0
1.551 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.551 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.551 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.551 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.552 * [backup-simplify]: Simplify (- 0) into 0
1.552 * [backup-simplify]: Simplify (+ 0 0) into 0
1.552 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
1.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
1.553 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
1.553 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
1.554 * [backup-simplify]: Simplify (+ 0 0) into 0
1.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
1.554 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K
1.554 * [taylor]: Taking taylor expansion of 1/2 in K
1.554 * [backup-simplify]: Simplify 1/2 into 1/2
1.554 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K
1.554 * [taylor]: Taking taylor expansion of J in K
1.554 * [backup-simplify]: Simplify J into J
1.554 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
1.554 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
1.554 * [taylor]: Taking taylor expansion of 1/2 in K
1.554 * [backup-simplify]: Simplify 1/2 into 1/2
1.554 * [taylor]: Taking taylor expansion of K in K
1.554 * [backup-simplify]: Simplify 0 into 0
1.554 * [backup-simplify]: Simplify 1 into 1
1.554 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.554 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.554 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K)))
1.555 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
1.555 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
1.555 * [taylor]: Taking taylor expansion of 1/2 in J
1.555 * [backup-simplify]: Simplify 1/2 into 1/2
1.555 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
1.555 * [taylor]: Taking taylor expansion of J in J
1.555 * [backup-simplify]: Simplify 0 into 0
1.555 * [backup-simplify]: Simplify 1 into 1
1.555 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
1.555 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
1.555 * [taylor]: Taking taylor expansion of 1/2 in J
1.555 * [backup-simplify]: Simplify 1/2 into 1/2
1.555 * [taylor]: Taking taylor expansion of K in J
1.555 * [backup-simplify]: Simplify K into K
1.555 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.555 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.555 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.555 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.555 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.555 * [backup-simplify]: Simplify (- 0) into 0
1.555 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.555 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
1.555 * [taylor]: Taking taylor expansion of 0 in K
1.555 * [backup-simplify]: Simplify 0 into 0
1.555 * [taylor]: Taking taylor expansion of 0 in J
1.555 * [backup-simplify]: Simplify 0 into 0
1.555 * [backup-simplify]: Simplify 0 into 0
1.556 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
1.556 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0
1.556 * [taylor]: Taking taylor expansion of 0 in J
1.556 * [backup-simplify]: Simplify 0 into 0
1.556 * [backup-simplify]: Simplify 0 into 0
1.556 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
1.556 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
1.556 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
1.557 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.558 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.558 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.559 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.559 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.560 * [backup-simplify]: Simplify (- 0) into 0
1.560 * [backup-simplify]: Simplify (+ 0 0) into 0
1.560 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
1.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
1.561 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
1.562 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
1.562 * [backup-simplify]: Simplify (+ 0 1) into 1
1.563 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
1.563 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
1.563 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
1.563 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
1.563 * [taylor]: Taking taylor expansion of 1/2 in K
1.563 * [backup-simplify]: Simplify 1/2 into 1/2
1.563 * [taylor]: Taking taylor expansion of K in K
1.563 * [backup-simplify]: Simplify 0 into 0
1.563 * [backup-simplify]: Simplify 1 into 1
1.563 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.563 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.563 * [taylor]: Taking taylor expansion of J in K
1.563 * [backup-simplify]: Simplify J into J
1.563 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
1.563 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
1.563 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
1.564 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
1.564 * [taylor]: Taking taylor expansion of 1/2 in J
1.564 * [backup-simplify]: Simplify 1/2 into 1/2
1.564 * [taylor]: Taking taylor expansion of K in J
1.564 * [backup-simplify]: Simplify K into K
1.564 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.564 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.564 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.564 * [taylor]: Taking taylor expansion of J in J
1.564 * [backup-simplify]: Simplify 0 into 0
1.564 * [backup-simplify]: Simplify 1 into 1
1.564 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.564 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.564 * [backup-simplify]: Simplify (- 0) into 0
1.564 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.564 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.564 * [backup-simplify]: Simplify (+ 0) into 0
1.565 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.565 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.565 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.566 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.566 * [backup-simplify]: Simplify (- 0) into 0
1.566 * [backup-simplify]: Simplify (+ 0 0) into 0
1.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
1.567 * [backup-simplify]: Simplify 0 into 0
1.567 * [taylor]: Taking taylor expansion of 0 in J
1.567 * [backup-simplify]: Simplify 0 into 0
1.567 * [backup-simplify]: Simplify 0 into 0
1.567 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
1.568 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0
1.568 * [taylor]: Taking taylor expansion of 0 in J
1.568 * [backup-simplify]: Simplify 0 into 0
1.568 * [backup-simplify]: Simplify 0 into 0
1.568 * [backup-simplify]: Simplify 0 into 0
1.568 * [backup-simplify]: Simplify 0 into 0
1.568 * [backup-simplify]: Simplify (+ 0) into 0
1.568 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.568 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.569 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.569 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.569 * [backup-simplify]: Simplify (- 0) into 0
1.570 * [backup-simplify]: Simplify (+ 0 0) into 0
1.570 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
1.570 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
1.570 * [backup-simplify]: Simplify 0 into 0
1.570 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
1.571 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
1.571 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0
1.571 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
1.571 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
1.571 * [taylor]: Taking taylor expansion of 1 in J
1.571 * [backup-simplify]: Simplify 1 into 1
1.571 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
1.571 * [taylor]: Taking taylor expansion of 1/4 in J
1.571 * [backup-simplify]: Simplify 1/4 into 1/4
1.571 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
1.571 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.571 * [taylor]: Taking taylor expansion of J in J
1.571 * [backup-simplify]: Simplify 0 into 0
1.571 * [backup-simplify]: Simplify 1 into 1
1.571 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
1.571 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
1.571 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
1.571 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
1.571 * [taylor]: Taking taylor expansion of -1/2 in J
1.571 * [backup-simplify]: Simplify -1/2 into -1/2
1.571 * [taylor]: Taking taylor expansion of K in J
1.571 * [backup-simplify]: Simplify K into K
1.571 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.571 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.571 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.571 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.571 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.574 * [backup-simplify]: Simplify (- 0) into 0
1.574 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.574 * [taylor]: Taking taylor expansion of (pow U 2) in J
1.574 * [taylor]: Taking taylor expansion of U in J
1.574 * [backup-simplify]: Simplify U into U
1.574 * [backup-simplify]: Simplify (* 1 1) into 1
1.575 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.575 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.575 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
1.575 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
1.575 * [backup-simplify]: Simplify (+ 1 0) into 1
1.575 * [backup-simplify]: Simplify (sqrt 1) into 1
1.576 * [backup-simplify]: Simplify (+ 0 0) into 0
1.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.576 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
1.576 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
1.576 * [taylor]: Taking taylor expansion of 1 in K
1.576 * [backup-simplify]: Simplify 1 into 1
1.576 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
1.576 * [taylor]: Taking taylor expansion of 1/4 in K
1.576 * [backup-simplify]: Simplify 1/4 into 1/4
1.576 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
1.576 * [taylor]: Taking taylor expansion of (pow J 2) in K
1.576 * [taylor]: Taking taylor expansion of J in K
1.576 * [backup-simplify]: Simplify J into J
1.576 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
1.576 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
1.577 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
1.577 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
1.577 * [taylor]: Taking taylor expansion of -1/2 in K
1.577 * [backup-simplify]: Simplify -1/2 into -1/2
1.577 * [taylor]: Taking taylor expansion of K in K
1.577 * [backup-simplify]: Simplify 0 into 0
1.577 * [backup-simplify]: Simplify 1 into 1
1.577 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
1.577 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.577 * [taylor]: Taking taylor expansion of (pow U 2) in K
1.577 * [taylor]: Taking taylor expansion of U in K
1.577 * [backup-simplify]: Simplify U into U
1.577 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.577 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.577 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.577 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
1.577 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
1.577 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
1.578 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
1.578 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
1.578 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.578 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.578 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
1.578 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
1.578 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
1.579 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
1.579 * [backup-simplify]: Simplify (+ 0 0) into 0
1.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
1.580 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
1.580 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
1.580 * [taylor]: Taking taylor expansion of 1 in U
1.580 * [backup-simplify]: Simplify 1 into 1
1.580 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
1.580 * [taylor]: Taking taylor expansion of 1/4 in U
1.580 * [backup-simplify]: Simplify 1/4 into 1/4
1.580 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
1.580 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.580 * [taylor]: Taking taylor expansion of J in U
1.580 * [backup-simplify]: Simplify J into J
1.580 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
1.580 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
1.580 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
1.580 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
1.580 * [taylor]: Taking taylor expansion of -1/2 in U
1.580 * [backup-simplify]: Simplify -1/2 into -1/2
1.580 * [taylor]: Taking taylor expansion of K in U
1.580 * [backup-simplify]: Simplify K into K
1.580 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.580 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.580 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.580 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.580 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.580 * [backup-simplify]: Simplify (- 0) into 0
1.580 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.580 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.580 * [taylor]: Taking taylor expansion of U in U
1.580 * [backup-simplify]: Simplify 0 into 0
1.580 * [backup-simplify]: Simplify 1 into 1
1.580 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.581 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.581 * [backup-simplify]: Simplify (* 1 1) into 1
1.581 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
1.581 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
1.581 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
1.581 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
1.581 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
1.581 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.582 * [backup-simplify]: Simplify (+ 0) into 0
1.582 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.582 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.583 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.583 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.583 * [backup-simplify]: Simplify (- 0) into 0
1.584 * [backup-simplify]: Simplify (+ 0 0) into 0
1.584 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
1.584 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
1.584 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
1.585 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
1.585 * [backup-simplify]: Simplify (+ 0 0) into 0
1.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
1.585 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
1.585 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
1.585 * [taylor]: Taking taylor expansion of 1 in U
1.585 * [backup-simplify]: Simplify 1 into 1
1.585 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
1.585 * [taylor]: Taking taylor expansion of 1/4 in U
1.585 * [backup-simplify]: Simplify 1/4 into 1/4
1.585 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
1.585 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.585 * [taylor]: Taking taylor expansion of J in U
1.585 * [backup-simplify]: Simplify J into J
1.585 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
1.585 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
1.585 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
1.585 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
1.585 * [taylor]: Taking taylor expansion of -1/2 in U
1.586 * [backup-simplify]: Simplify -1/2 into -1/2
1.586 * [taylor]: Taking taylor expansion of K in U
1.586 * [backup-simplify]: Simplify K into K
1.586 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.586 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.586 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.586 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.586 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.586 * [backup-simplify]: Simplify (- 0) into 0
1.586 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.586 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.586 * [taylor]: Taking taylor expansion of U in U
1.586 * [backup-simplify]: Simplify 0 into 0
1.586 * [backup-simplify]: Simplify 1 into 1
1.586 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.586 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.587 * [backup-simplify]: Simplify (* 1 1) into 1
1.587 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
1.587 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
1.587 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
1.587 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
1.587 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
1.587 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.588 * [backup-simplify]: Simplify (+ 0) into 0
1.588 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.588 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.589 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.590 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.590 * [backup-simplify]: Simplify (- 0) into 0
1.590 * [backup-simplify]: Simplify (+ 0 0) into 0
1.590 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
1.591 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
1.591 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
1.592 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
1.592 * [backup-simplify]: Simplify (+ 0 0) into 0
1.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
1.592 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K
1.592 * [taylor]: Taking taylor expansion of 1/2 in K
1.592 * [backup-simplify]: Simplify 1/2 into 1/2
1.592 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K
1.592 * [taylor]: Taking taylor expansion of J in K
1.593 * [backup-simplify]: Simplify J into J
1.593 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
1.593 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
1.593 * [taylor]: Taking taylor expansion of -1/2 in K
1.593 * [backup-simplify]: Simplify -1/2 into -1/2
1.593 * [taylor]: Taking taylor expansion of K in K
1.593 * [backup-simplify]: Simplify 0 into 0
1.593 * [backup-simplify]: Simplify 1 into 1
1.593 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
1.593 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.593 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K)))
1.593 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
1.593 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
1.593 * [taylor]: Taking taylor expansion of 1/2 in J
1.594 * [backup-simplify]: Simplify 1/2 into 1/2
1.594 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
1.594 * [taylor]: Taking taylor expansion of J in J
1.594 * [backup-simplify]: Simplify 0 into 0
1.594 * [backup-simplify]: Simplify 1 into 1
1.594 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
1.594 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
1.594 * [taylor]: Taking taylor expansion of -1/2 in J
1.594 * [backup-simplify]: Simplify -1/2 into -1/2
1.594 * [taylor]: Taking taylor expansion of K in J
1.594 * [backup-simplify]: Simplify K into K
1.594 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.594 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.594 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.594 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.594 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.595 * [backup-simplify]: Simplify (- 0) into 0
1.595 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.595 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
1.595 * [taylor]: Taking taylor expansion of 0 in K
1.595 * [backup-simplify]: Simplify 0 into 0
1.595 * [taylor]: Taking taylor expansion of 0 in J
1.595 * [backup-simplify]: Simplify 0 into 0
1.595 * [backup-simplify]: Simplify 0 into 0
1.595 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
1.596 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0
1.596 * [taylor]: Taking taylor expansion of 0 in J
1.596 * [backup-simplify]: Simplify 0 into 0
1.596 * [backup-simplify]: Simplify 0 into 0
1.596 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
1.596 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
1.597 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
1.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.599 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.599 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.600 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.600 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.601 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.601 * [backup-simplify]: Simplify (- 0) into 0
1.602 * [backup-simplify]: Simplify (+ 0 0) into 0
1.602 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
1.603 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
1.603 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
1.604 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
1.605 * [backup-simplify]: Simplify (+ 1 0) into 1
1.606 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
1.606 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
1.606 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
1.606 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
1.606 * [taylor]: Taking taylor expansion of -1/2 in K
1.606 * [backup-simplify]: Simplify -1/2 into -1/2
1.606 * [taylor]: Taking taylor expansion of K in K
1.606 * [backup-simplify]: Simplify 0 into 0
1.606 * [backup-simplify]: Simplify 1 into 1
1.606 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
1.607 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.607 * [taylor]: Taking taylor expansion of J in K
1.607 * [backup-simplify]: Simplify J into J
1.607 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
1.607 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
1.607 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
1.607 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
1.607 * [taylor]: Taking taylor expansion of -1/2 in J
1.607 * [backup-simplify]: Simplify -1/2 into -1/2
1.607 * [taylor]: Taking taylor expansion of K in J
1.607 * [backup-simplify]: Simplify K into K
1.607 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.607 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.607 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.607 * [taylor]: Taking taylor expansion of J in J
1.607 * [backup-simplify]: Simplify 0 into 0
1.607 * [backup-simplify]: Simplify 1 into 1
1.607 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.607 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.608 * [backup-simplify]: Simplify (- 0) into 0
1.608 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.608 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.608 * [backup-simplify]: Simplify (+ 0) into 0
1.609 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.609 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.610 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.610 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.611 * [backup-simplify]: Simplify (- 0) into 0
1.611 * [backup-simplify]: Simplify (+ 0 0) into 0
1.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
1.612 * [backup-simplify]: Simplify 0 into 0
1.612 * [taylor]: Taking taylor expansion of 0 in J
1.612 * [backup-simplify]: Simplify 0 into 0
1.612 * [backup-simplify]: Simplify 0 into 0
1.613 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
1.614 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0
1.614 * [taylor]: Taking taylor expansion of 0 in J
1.614 * [backup-simplify]: Simplify 0 into 0
1.614 * [backup-simplify]: Simplify 0 into 0
1.614 * [backup-simplify]: Simplify 0 into 0
1.614 * [backup-simplify]: Simplify 0 into 0
1.614 * [backup-simplify]: Simplify (+ 0) into 0
1.615 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.615 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.616 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.616 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.616 * [backup-simplify]: Simplify (- 0) into 0
1.617 * [backup-simplify]: Simplify (+ 0 0) into 0
1.617 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
1.618 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
1.618 * [backup-simplify]: Simplify 0 into 0
1.618 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
1.618 * * * * [progress]: [ 2 / 4 ] generating series at (2)
1.619 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))))
1.619 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (U K J) around 0
1.619 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J
1.619 * [taylor]: Taking taylor expansion of -2 in J
1.619 * [backup-simplify]: Simplify -2 into -2
1.619 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J
1.619 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
1.619 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
1.619 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
1.619 * [taylor]: Taking taylor expansion of 1/2 in J
1.619 * [backup-simplify]: Simplify 1/2 into 1/2
1.619 * [taylor]: Taking taylor expansion of K in J
1.619 * [backup-simplify]: Simplify K into K
1.619 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.619 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.619 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.619 * [taylor]: Taking taylor expansion of J in J
1.619 * [backup-simplify]: Simplify 0 into 0
1.619 * [backup-simplify]: Simplify 1 into 1
1.620 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
1.620 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
1.620 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
1.620 * [taylor]: Taking taylor expansion of 1/4 in J
1.620 * [backup-simplify]: Simplify 1/4 into 1/4
1.620 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
1.620 * [taylor]: Taking taylor expansion of (pow U 2) in J
1.620 * [taylor]: Taking taylor expansion of U in J
1.620 * [backup-simplify]: Simplify U into U
1.620 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
1.620 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
1.620 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
1.620 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
1.620 * [taylor]: Taking taylor expansion of 1/2 in J
1.620 * [backup-simplify]: Simplify 1/2 into 1/2
1.620 * [taylor]: Taking taylor expansion of K in J
1.620 * [backup-simplify]: Simplify K into K
1.620 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.620 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.620 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.620 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.620 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.621 * [backup-simplify]: Simplify (- 0) into 0
1.621 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.621 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.621 * [taylor]: Taking taylor expansion of J in J
1.621 * [backup-simplify]: Simplify 0 into 0
1.621 * [backup-simplify]: Simplify 1 into 1
1.621 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.621 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
1.622 * [backup-simplify]: Simplify (* 1 1) into 1
1.622 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
1.622 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
1.622 * [taylor]: Taking taylor expansion of 1 in J
1.622 * [backup-simplify]: Simplify 1 into 1
1.622 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
1.622 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
1.623 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
1.623 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.623 * [backup-simplify]: Simplify (+ 0) into 0
1.624 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
1.624 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
1.624 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.625 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
1.625 * [backup-simplify]: Simplify (- 0) into 0
1.625 * [backup-simplify]: Simplify (+ 0 0) into 0
1.625 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
1.626 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
1.626 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
1.626 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
1.626 * [backup-simplify]: Simplify (+ 0 0) into 0
1.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
1.627 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K
1.627 * [taylor]: Taking taylor expansion of -2 in K
1.627 * [backup-simplify]: Simplify -2 into -2
1.627 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K
1.627 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
1.627 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
1.627 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
1.627 * [taylor]: Taking taylor expansion of 1/2 in K
1.627 * [backup-simplify]: Simplify 1/2 into 1/2
1.627 * [taylor]: Taking taylor expansion of K in K
1.627 * [backup-simplify]: Simplify 0 into 0
1.627 * [backup-simplify]: Simplify 1 into 1
1.627 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.628 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.628 * [taylor]: Taking taylor expansion of J in K
1.628 * [backup-simplify]: Simplify J into J
1.628 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
1.628 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
1.628 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
1.628 * [taylor]: Taking taylor expansion of 1/4 in K
1.628 * [backup-simplify]: Simplify 1/4 into 1/4
1.628 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
1.628 * [taylor]: Taking taylor expansion of (pow U 2) in K
1.628 * [taylor]: Taking taylor expansion of U in K
1.628 * [backup-simplify]: Simplify U into U
1.628 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
1.628 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
1.628 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
1.628 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
1.628 * [taylor]: Taking taylor expansion of 1/2 in K
1.628 * [backup-simplify]: Simplify 1/2 into 1/2
1.628 * [taylor]: Taking taylor expansion of K in K
1.628 * [backup-simplify]: Simplify 0 into 0
1.628 * [backup-simplify]: Simplify 1 into 1
1.628 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.629 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.629 * [taylor]: Taking taylor expansion of (pow J 2) in K
1.629 * [taylor]: Taking taylor expansion of J in K
1.629 * [backup-simplify]: Simplify J into J
1.629 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.629 * [backup-simplify]: Simplify (* 1 1) into 1
1.629 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.629 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
1.629 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
1.629 * [taylor]: Taking taylor expansion of 1 in K
1.629 * [backup-simplify]: Simplify 1 into 1
1.629 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
1.630 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
1.630 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
1.630 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.630 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.630 * [backup-simplify]: Simplify (+ 0) into 0
1.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
1.631 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
1.631 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
1.632 * [backup-simplify]: Simplify (+ 0 0) into 0
1.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
1.632 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U
1.632 * [taylor]: Taking taylor expansion of -2 in U
1.632 * [backup-simplify]: Simplify -2 into -2
1.632 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U
1.632 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
1.632 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
1.632 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
1.632 * [taylor]: Taking taylor expansion of 1/2 in U
1.632 * [backup-simplify]: Simplify 1/2 into 1/2
1.632 * [taylor]: Taking taylor expansion of K in U
1.632 * [backup-simplify]: Simplify K into K
1.632 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.632 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.632 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.632 * [taylor]: Taking taylor expansion of J in U
1.632 * [backup-simplify]: Simplify J into J
1.632 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
1.632 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
1.632 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
1.632 * [taylor]: Taking taylor expansion of 1/4 in U
1.632 * [backup-simplify]: Simplify 1/4 into 1/4
1.632 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
1.632 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.632 * [taylor]: Taking taylor expansion of U in U
1.632 * [backup-simplify]: Simplify 0 into 0
1.632 * [backup-simplify]: Simplify 1 into 1
1.632 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
1.632 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
1.632 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
1.632 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
1.632 * [taylor]: Taking taylor expansion of 1/2 in U
1.632 * [backup-simplify]: Simplify 1/2 into 1/2
1.633 * [taylor]: Taking taylor expansion of K in U
1.633 * [backup-simplify]: Simplify K into K
1.633 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.633 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.633 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.633 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.633 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.633 * [backup-simplify]: Simplify (- 0) into 0
1.633 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.633 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.633 * [taylor]: Taking taylor expansion of J in U
1.633 * [backup-simplify]: Simplify J into J
1.633 * [backup-simplify]: Simplify (* 1 1) into 1
1.633 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
1.633 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.634 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
1.634 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
1.634 * [taylor]: Taking taylor expansion of 1 in U
1.634 * [backup-simplify]: Simplify 1 into 1
1.634 * [backup-simplify]: Simplify (+ 0 1) into 1
1.634 * [backup-simplify]: Simplify (sqrt 1) into 1
1.634 * [backup-simplify]: Simplify (+ 0 0) into 0
1.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.635 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U
1.635 * [taylor]: Taking taylor expansion of -2 in U
1.635 * [backup-simplify]: Simplify -2 into -2
1.635 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U
1.635 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
1.635 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
1.635 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
1.635 * [taylor]: Taking taylor expansion of 1/2 in U
1.635 * [backup-simplify]: Simplify 1/2 into 1/2
1.635 * [taylor]: Taking taylor expansion of K in U
1.635 * [backup-simplify]: Simplify K into K
1.635 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.635 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.635 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.635 * [taylor]: Taking taylor expansion of J in U
1.635 * [backup-simplify]: Simplify J into J
1.635 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
1.635 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
1.635 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
1.635 * [taylor]: Taking taylor expansion of 1/4 in U
1.635 * [backup-simplify]: Simplify 1/4 into 1/4
1.635 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
1.635 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.635 * [taylor]: Taking taylor expansion of U in U
1.635 * [backup-simplify]: Simplify 0 into 0
1.635 * [backup-simplify]: Simplify 1 into 1
1.635 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
1.635 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
1.635 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
1.635 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
1.635 * [taylor]: Taking taylor expansion of 1/2 in U
1.635 * [backup-simplify]: Simplify 1/2 into 1/2
1.635 * [taylor]: Taking taylor expansion of K in U
1.635 * [backup-simplify]: Simplify K into K
1.635 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.636 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.636 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.636 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.636 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.636 * [backup-simplify]: Simplify (- 0) into 0
1.636 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.636 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.636 * [taylor]: Taking taylor expansion of J in U
1.636 * [backup-simplify]: Simplify J into J
1.636 * [backup-simplify]: Simplify (* 1 1) into 1
1.636 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
1.636 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.636 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
1.637 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
1.637 * [taylor]: Taking taylor expansion of 1 in U
1.637 * [backup-simplify]: Simplify 1 into 1
1.637 * [backup-simplify]: Simplify (+ 0 1) into 1
1.637 * [backup-simplify]: Simplify (sqrt 1) into 1
1.637 * [backup-simplify]: Simplify (+ 0 0) into 0
1.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.638 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.638 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.638 * [backup-simplify]: Simplify (- 0) into 0
1.638 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.638 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J)
1.638 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J)
1.638 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J))
1.638 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K
1.638 * [taylor]: Taking taylor expansion of -2 in K
1.638 * [backup-simplify]: Simplify -2 into -2
1.638 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
1.639 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
1.639 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
1.639 * [taylor]: Taking taylor expansion of 1/2 in K
1.639 * [backup-simplify]: Simplify 1/2 into 1/2
1.639 * [taylor]: Taking taylor expansion of K in K
1.639 * [backup-simplify]: Simplify 0 into 0
1.639 * [backup-simplify]: Simplify 1 into 1
1.639 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.639 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.639 * [taylor]: Taking taylor expansion of J in K
1.639 * [backup-simplify]: Simplify J into J
1.639 * [backup-simplify]: Simplify (* 1 J) into J
1.639 * [backup-simplify]: Simplify (* -2 J) into (* -2 J)
1.639 * [taylor]: Taking taylor expansion of (* -2 J) in J
1.639 * [taylor]: Taking taylor expansion of -2 in J
1.640 * [backup-simplify]: Simplify -2 into -2
1.640 * [taylor]: Taking taylor expansion of J in J
1.640 * [backup-simplify]: Simplify 0 into 0
1.640 * [backup-simplify]: Simplify 1 into 1
1.640 * [backup-simplify]: Simplify (+ 0) into 0
1.640 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
1.641 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
1.641 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.641 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
1.642 * [backup-simplify]: Simplify (- 0) into 0
1.642 * [backup-simplify]: Simplify (+ 0 0) into 0
1.642 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0
1.642 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0
1.643 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0
1.643 * [taylor]: Taking taylor expansion of 0 in K
1.643 * [backup-simplify]: Simplify 0 into 0
1.643 * [taylor]: Taking taylor expansion of 0 in J
1.643 * [backup-simplify]: Simplify 0 into 0
1.643 * [backup-simplify]: Simplify (+ 0) into 0
1.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0
1.644 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0
1.644 * [taylor]: Taking taylor expansion of 0 in J
1.644 * [backup-simplify]: Simplify 0 into 0
1.644 * [backup-simplify]: Simplify (* -2 0) into 0
1.644 * [backup-simplify]: Simplify 0 into 0
1.644 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
1.644 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
1.645 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
1.646 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.646 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.647 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
1.647 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.647 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.648 * [backup-simplify]: Simplify (- 0) into 0
1.648 * [backup-simplify]: Simplify (+ 0 0) into 0
1.648 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0
1.649 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))
1.649 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))))
1.649 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K
1.649 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K
1.649 * [taylor]: Taking taylor expansion of 1/4 in K
1.649 * [backup-simplify]: Simplify 1/4 into 1/4
1.649 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K
1.649 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
1.649 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
1.649 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
1.649 * [taylor]: Taking taylor expansion of 1/2 in K
1.649 * [backup-simplify]: Simplify 1/2 into 1/2
1.649 * [taylor]: Taking taylor expansion of K in K
1.649 * [backup-simplify]: Simplify 0 into 0
1.649 * [backup-simplify]: Simplify 1 into 1
1.650 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.650 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.650 * [taylor]: Taking taylor expansion of J in K
1.650 * [backup-simplify]: Simplify J into J
1.650 * [backup-simplify]: Simplify (* 1 J) into J
1.650 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J)
1.650 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J)
1.650 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J)))
1.650 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J
1.650 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J
1.651 * [taylor]: Taking taylor expansion of 1/4 in J
1.651 * [backup-simplify]: Simplify 1/4 into 1/4
1.651 * [taylor]: Taking taylor expansion of (/ 1 J) in J
1.651 * [taylor]: Taking taylor expansion of J in J
1.651 * [backup-simplify]: Simplify 0 into 0
1.651 * [backup-simplify]: Simplify 1 into 1
1.651 * [backup-simplify]: Simplify (/ 1 1) into 1
1.651 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
1.651 * [backup-simplify]: Simplify (- 1/4) into -1/4
1.651 * [backup-simplify]: Simplify -1/4 into -1/4
1.651 * [taylor]: Taking taylor expansion of 0 in J
1.651 * [backup-simplify]: Simplify 0 into 0
1.652 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
1.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J))
1.653 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J)
1.653 * [taylor]: Taking taylor expansion of (* 1/4 J) in J
1.653 * [taylor]: Taking taylor expansion of 1/4 in J
1.653 * [backup-simplify]: Simplify 1/4 into 1/4
1.653 * [taylor]: Taking taylor expansion of J in J
1.653 * [backup-simplify]: Simplify 0 into 0
1.653 * [backup-simplify]: Simplify 1 into 1
1.653 * [backup-simplify]: Simplify 0 into 0
1.653 * [backup-simplify]: Simplify 0 into 0
1.653 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2
1.653 * [backup-simplify]: Simplify -2 into -2
1.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.654 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.654 * [backup-simplify]: Simplify (+ 0) into 0
1.655 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
1.655 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
1.655 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.656 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
1.656 * [backup-simplify]: Simplify (- 0) into 0
1.656 * [backup-simplify]: Simplify (+ 0 0) into 0
1.656 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
1.657 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
1.657 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
1.657 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
1.658 * [backup-simplify]: Simplify (+ 0 0) into 0
1.658 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
1.659 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.659 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.660 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
1.661 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.661 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.662 * [backup-simplify]: Simplify (- 0) into 0
1.662 * [backup-simplify]: Simplify (+ 0 0) into 0
1.663 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
1.663 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0
1.664 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0
1.664 * [taylor]: Taking taylor expansion of 0 in K
1.664 * [backup-simplify]: Simplify 0 into 0
1.664 * [taylor]: Taking taylor expansion of 0 in J
1.664 * [backup-simplify]: Simplify 0 into 0
1.664 * [backup-simplify]: Simplify (+ 0) into 0
1.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0
1.665 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
1.665 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0
1.665 * [backup-simplify]: Simplify (- 0) into 0
1.665 * [taylor]: Taking taylor expansion of 0 in J
1.665 * [backup-simplify]: Simplify 0 into 0
1.665 * [taylor]: Taking taylor expansion of 0 in J
1.665 * [backup-simplify]: Simplify 0 into 0
1.666 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1.666 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0
1.669 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0
1.669 * [taylor]: Taking taylor expansion of 0 in J
1.669 * [backup-simplify]: Simplify 0 into 0
1.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.670 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
1.670 * [backup-simplify]: Simplify (- 0) into 0
1.670 * [backup-simplify]: Simplify 0 into 0
1.670 * [backup-simplify]: Simplify 0 into 0
1.670 * [backup-simplify]: Simplify (* 1/4 0) into 0
1.670 * [backup-simplify]: Simplify 0 into 0
1.670 * [backup-simplify]: Simplify 0 into 0
1.670 * [backup-simplify]: Simplify 0 into 0
1.671 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0
1.671 * [backup-simplify]: Simplify 0 into 0
1.671 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J))))
1.672 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) -2) (* (cos (/ (/ 1 K) 2)) (/ 1 J))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))
1.672 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (U K J) around 0
1.672 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J
1.672 * [taylor]: Taking taylor expansion of -2 in J
1.672 * [backup-simplify]: Simplify -2 into -2
1.672 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J
1.672 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
1.672 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
1.672 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
1.672 * [taylor]: Taking taylor expansion of 1/4 in J
1.672 * [backup-simplify]: Simplify 1/4 into 1/4
1.672 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
1.672 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.672 * [taylor]: Taking taylor expansion of J in J
1.672 * [backup-simplify]: Simplify 0 into 0
1.672 * [backup-simplify]: Simplify 1 into 1
1.672 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
1.672 * [taylor]: Taking taylor expansion of (pow U 2) in J
1.672 * [taylor]: Taking taylor expansion of U in J
1.672 * [backup-simplify]: Simplify U into U
1.672 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
1.672 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
1.672 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
1.672 * [taylor]: Taking taylor expansion of 1/2 in J
1.672 * [backup-simplify]: Simplify 1/2 into 1/2
1.672 * [taylor]: Taking taylor expansion of K in J
1.672 * [backup-simplify]: Simplify K into K
1.672 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.672 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.672 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.673 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.673 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.673 * [backup-simplify]: Simplify (- 0) into 0
1.673 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.673 * [backup-simplify]: Simplify (* 1 1) into 1
1.673 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.673 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.673 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
1.673 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
1.673 * [taylor]: Taking taylor expansion of 1 in J
1.673 * [backup-simplify]: Simplify 1 into 1
1.674 * [backup-simplify]: Simplify (+ 0 1) into 1
1.674 * [backup-simplify]: Simplify (sqrt 1) into 1
1.674 * [backup-simplify]: Simplify (+ 0 0) into 0
1.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.675 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
1.675 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
1.675 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
1.675 * [taylor]: Taking taylor expansion of 1/2 in J
1.675 * [backup-simplify]: Simplify 1/2 into 1/2
1.675 * [taylor]: Taking taylor expansion of K in J
1.675 * [backup-simplify]: Simplify K into K
1.675 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.675 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.675 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.675 * [taylor]: Taking taylor expansion of J in J
1.675 * [backup-simplify]: Simplify 0 into 0
1.675 * [backup-simplify]: Simplify 1 into 1
1.675 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.675 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.675 * [backup-simplify]: Simplify (- 0) into 0
1.675 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.675 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.675 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K
1.675 * [taylor]: Taking taylor expansion of -2 in K
1.675 * [backup-simplify]: Simplify -2 into -2
1.675 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K
1.676 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
1.676 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
1.676 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
1.676 * [taylor]: Taking taylor expansion of 1/4 in K
1.676 * [backup-simplify]: Simplify 1/4 into 1/4
1.676 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
1.676 * [taylor]: Taking taylor expansion of (pow J 2) in K
1.676 * [taylor]: Taking taylor expansion of J in K
1.676 * [backup-simplify]: Simplify J into J
1.676 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
1.676 * [taylor]: Taking taylor expansion of (pow U 2) in K
1.676 * [taylor]: Taking taylor expansion of U in K
1.676 * [backup-simplify]: Simplify U into U
1.676 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
1.676 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
1.676 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
1.676 * [taylor]: Taking taylor expansion of 1/2 in K
1.676 * [backup-simplify]: Simplify 1/2 into 1/2
1.676 * [taylor]: Taking taylor expansion of K in K
1.676 * [backup-simplify]: Simplify 0 into 0
1.676 * [backup-simplify]: Simplify 1 into 1
1.676 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.676 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.676 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.676 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.676 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.676 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
1.676 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
1.677 * [taylor]: Taking taylor expansion of 1 in K
1.677 * [backup-simplify]: Simplify 1 into 1
1.677 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
1.677 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
1.677 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
1.677 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.677 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
1.677 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.677 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
1.678 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
1.678 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
1.678 * [backup-simplify]: Simplify (+ 0 0) into 0
1.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
1.679 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
1.679 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
1.679 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
1.679 * [taylor]: Taking taylor expansion of 1/2 in K
1.679 * [backup-simplify]: Simplify 1/2 into 1/2
1.679 * [taylor]: Taking taylor expansion of K in K
1.679 * [backup-simplify]: Simplify 0 into 0
1.679 * [backup-simplify]: Simplify 1 into 1
1.679 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.679 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.679 * [taylor]: Taking taylor expansion of J in K
1.679 * [backup-simplify]: Simplify J into J
1.679 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
1.679 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U
1.679 * [taylor]: Taking taylor expansion of -2 in U
1.679 * [backup-simplify]: Simplify -2 into -2
1.679 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U
1.679 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
1.679 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
1.679 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
1.679 * [taylor]: Taking taylor expansion of 1/4 in U
1.679 * [backup-simplify]: Simplify 1/4 into 1/4
1.679 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
1.679 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.679 * [taylor]: Taking taylor expansion of J in U
1.679 * [backup-simplify]: Simplify J into J
1.679 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
1.679 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.679 * [taylor]: Taking taylor expansion of U in U
1.679 * [backup-simplify]: Simplify 0 into 0
1.679 * [backup-simplify]: Simplify 1 into 1
1.679 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
1.679 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
1.679 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
1.680 * [taylor]: Taking taylor expansion of 1/2 in U
1.680 * [backup-simplify]: Simplify 1/2 into 1/2
1.680 * [taylor]: Taking taylor expansion of K in U
1.680 * [backup-simplify]: Simplify K into K
1.680 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.680 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.680 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.680 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.680 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.680 * [backup-simplify]: Simplify (- 0) into 0
1.680 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.680 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.680 * [backup-simplify]: Simplify (* 1 1) into 1
1.680 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.681 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
1.681 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
1.681 * [taylor]: Taking taylor expansion of 1 in U
1.681 * [backup-simplify]: Simplify 1 into 1
1.681 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
1.681 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
1.681 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
1.681 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.683 * [backup-simplify]: Simplify (+ 0) into 0
1.683 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.683 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.684 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.684 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.684 * [backup-simplify]: Simplify (- 0) into 0
1.685 * [backup-simplify]: Simplify (+ 0 0) into 0
1.685 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
1.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
1.686 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
1.686 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
1.686 * [backup-simplify]: Simplify (+ 0 0) into 0
1.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
1.686 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
1.686 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
1.686 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
1.686 * [taylor]: Taking taylor expansion of 1/2 in U
1.686 * [backup-simplify]: Simplify 1/2 into 1/2
1.686 * [taylor]: Taking taylor expansion of K in U
1.686 * [backup-simplify]: Simplify K into K
1.686 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.687 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.687 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.687 * [taylor]: Taking taylor expansion of J in U
1.687 * [backup-simplify]: Simplify J into J
1.687 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.687 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.687 * [backup-simplify]: Simplify (- 0) into 0
1.687 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.687 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
1.687 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U
1.687 * [taylor]: Taking taylor expansion of -2 in U
1.687 * [backup-simplify]: Simplify -2 into -2
1.687 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U
1.687 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
1.687 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
1.687 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
1.687 * [taylor]: Taking taylor expansion of 1/4 in U
1.687 * [backup-simplify]: Simplify 1/4 into 1/4
1.687 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
1.687 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.687 * [taylor]: Taking taylor expansion of J in U
1.687 * [backup-simplify]: Simplify J into J
1.687 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
1.687 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.687 * [taylor]: Taking taylor expansion of U in U
1.687 * [backup-simplify]: Simplify 0 into 0
1.687 * [backup-simplify]: Simplify 1 into 1
1.687 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
1.687 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
1.687 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
1.687 * [taylor]: Taking taylor expansion of 1/2 in U
1.687 * [backup-simplify]: Simplify 1/2 into 1/2
1.687 * [taylor]: Taking taylor expansion of K in U
1.687 * [backup-simplify]: Simplify K into K
1.688 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.688 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.688 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.688 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.688 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.688 * [backup-simplify]: Simplify (- 0) into 0
1.688 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.688 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.688 * [backup-simplify]: Simplify (* 1 1) into 1
1.688 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.688 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
1.689 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
1.689 * [taylor]: Taking taylor expansion of 1 in U
1.689 * [backup-simplify]: Simplify 1 into 1
1.689 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
1.689 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
1.689 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
1.689 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.689 * [backup-simplify]: Simplify (+ 0) into 0
1.690 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.690 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.690 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.690 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.691 * [backup-simplify]: Simplify (- 0) into 0
1.691 * [backup-simplify]: Simplify (+ 0 0) into 0
1.691 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
1.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
1.692 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
1.692 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
1.693 * [backup-simplify]: Simplify (+ 0 0) into 0
1.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
1.693 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
1.693 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
1.693 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
1.693 * [taylor]: Taking taylor expansion of 1/2 in U
1.693 * [backup-simplify]: Simplify 1/2 into 1/2
1.693 * [taylor]: Taking taylor expansion of K in U
1.693 * [backup-simplify]: Simplify K into K
1.693 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.693 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.693 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.693 * [taylor]: Taking taylor expansion of J in U
1.693 * [backup-simplify]: Simplify J into J
1.693 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.693 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.693 * [backup-simplify]: Simplify (- 0) into 0
1.693 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.693 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
1.694 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2
1.694 * [backup-simplify]: Simplify (* -2 1/2) into -1
1.694 * [taylor]: Taking taylor expansion of -1 in K
1.694 * [backup-simplify]: Simplify -1 into -1
1.694 * [taylor]: Taking taylor expansion of -1 in J
1.694 * [backup-simplify]: Simplify -1 into -1
1.694 * [backup-simplify]: Simplify (+ 0) into 0
1.695 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.695 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.695 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.695 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.696 * [backup-simplify]: Simplify (- 0) into 0
1.696 * [backup-simplify]: Simplify (+ 0 0) into 0
1.696 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0
1.696 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0
1.697 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0
1.697 * [taylor]: Taking taylor expansion of 0 in K
1.697 * [backup-simplify]: Simplify 0 into 0
1.697 * [taylor]: Taking taylor expansion of 0 in J
1.697 * [backup-simplify]: Simplify 0 into 0
1.697 * [taylor]: Taking taylor expansion of 0 in J
1.697 * [backup-simplify]: Simplify 0 into 0
1.697 * [backup-simplify]: Simplify -1 into -1
1.697 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.698 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.698 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.698 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.699 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.699 * [backup-simplify]: Simplify (- 0) into 0
1.699 * [backup-simplify]: Simplify (+ 0 0) into 0
1.699 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
1.700 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
1.701 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.702 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.702 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.703 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.703 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.704 * [backup-simplify]: Simplify (- 0) into 0
1.704 * [backup-simplify]: Simplify (+ 0 0) into 0
1.705 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
1.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
1.707 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
1.708 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
1.708 * [backup-simplify]: Simplify (+ 0 1) into 1
1.709 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
1.710 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (/ (cos (/ 1/2 K)) J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))
1.710 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))))
1.710 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K
1.710 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K
1.710 * [taylor]: Taking taylor expansion of 2 in K
1.710 * [backup-simplify]: Simplify 2 into 2
1.710 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K
1.710 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
1.710 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
1.711 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
1.711 * [taylor]: Taking taylor expansion of 1/2 in K
1.711 * [backup-simplify]: Simplify 1/2 into 1/2
1.711 * [taylor]: Taking taylor expansion of K in K
1.711 * [backup-simplify]: Simplify 0 into 0
1.711 * [backup-simplify]: Simplify 1 into 1
1.711 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.711 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.711 * [taylor]: Taking taylor expansion of (pow J 2) in K
1.711 * [taylor]: Taking taylor expansion of J in K
1.711 * [backup-simplify]: Simplify J into J
1.711 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.711 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.711 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))
1.711 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))
1.711 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))))
1.711 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J
1.711 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J
1.712 * [taylor]: Taking taylor expansion of 2 in J
1.712 * [backup-simplify]: Simplify 2 into 2
1.712 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J
1.712 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
1.712 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
1.712 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
1.712 * [taylor]: Taking taylor expansion of 1/2 in J
1.712 * [backup-simplify]: Simplify 1/2 into 1/2
1.712 * [taylor]: Taking taylor expansion of K in J
1.712 * [backup-simplify]: Simplify K into K
1.712 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.712 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.712 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.712 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.712 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.712 * [backup-simplify]: Simplify (- 0) into 0
1.712 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.712 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.712 * [taylor]: Taking taylor expansion of J in J
1.712 * [backup-simplify]: Simplify 0 into 0
1.712 * [backup-simplify]: Simplify 1 into 1
1.712 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.713 * [backup-simplify]: Simplify (* 1 1) into 1
1.713 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2)
1.713 * [backup-simplify]: Simplify (+ 0) into 0
1.713 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.713 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.714 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.714 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.714 * [backup-simplify]: Simplify (- 0) into 0
1.715 * [backup-simplify]: Simplify (+ 0 0) into 0
1.715 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
1.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0
1.716 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
1.716 * [backup-simplify]: Simplify (- 0) into 0
1.716 * [backup-simplify]: Simplify 0 into 0
1.716 * [taylor]: Taking taylor expansion of 0 in J
1.716 * [backup-simplify]: Simplify 0 into 0
1.716 * [taylor]: Taking taylor expansion of 0 in J
1.716 * [backup-simplify]: Simplify 0 into 0
1.716 * [backup-simplify]: Simplify 0 into 0
1.716 * [backup-simplify]: Simplify 0 into 0
1.716 * [backup-simplify]: Simplify 0 into 0
1.717 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.717 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.718 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.718 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.719 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.719 * [backup-simplify]: Simplify (- 0) into 0
1.719 * [backup-simplify]: Simplify (+ 0 0) into 0
1.720 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
1.720 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
1.721 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.722 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.722 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.723 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.723 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.723 * [backup-simplify]: Simplify (- 0) into 0
1.724 * [backup-simplify]: Simplify (+ 0 0) into 0
1.724 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
1.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
1.726 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
1.727 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
1.727 * [backup-simplify]: Simplify (+ 0 0) into 0
1.727 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
1.727 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0
1.728 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0
1.728 * [taylor]: Taking taylor expansion of 0 in K
1.728 * [backup-simplify]: Simplify 0 into 0
1.728 * [taylor]: Taking taylor expansion of 0 in J
1.728 * [backup-simplify]: Simplify 0 into 0
1.728 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
1.728 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.729 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
1.729 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0
1.729 * [backup-simplify]: Simplify (- 0) into 0
1.729 * [taylor]: Taking taylor expansion of 0 in J
1.729 * [backup-simplify]: Simplify 0 into 0
1.729 * [taylor]: Taking taylor expansion of 0 in J
1.729 * [backup-simplify]: Simplify 0 into 0
1.729 * [taylor]: Taking taylor expansion of 0 in J
1.729 * [backup-simplify]: Simplify 0 into 0
1.730 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.730 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.730 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.731 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.732 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.732 * [backup-simplify]: Simplify (- 0) into 0
1.732 * [backup-simplify]: Simplify (+ 0 0) into 0
1.733 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
1.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.737 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
1.737 * [backup-simplify]: Simplify (- 0) into 0
1.737 * [backup-simplify]: Simplify 0 into 0
1.737 * [backup-simplify]: Simplify 0 into 0
1.737 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U)
1.738 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) -2) (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))
1.738 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (U K J) around 0
1.738 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J
1.738 * [taylor]: Taking taylor expansion of 2 in J
1.738 * [backup-simplify]: Simplify 2 into 2
1.738 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J
1.739 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
1.739 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
1.739 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
1.739 * [taylor]: Taking taylor expansion of -1/2 in J
1.739 * [backup-simplify]: Simplify -1/2 into -1/2
1.739 * [taylor]: Taking taylor expansion of K in J
1.739 * [backup-simplify]: Simplify K into K
1.739 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.739 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.739 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.739 * [taylor]: Taking taylor expansion of J in J
1.739 * [backup-simplify]: Simplify 0 into 0
1.739 * [backup-simplify]: Simplify 1 into 1
1.739 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.739 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.739 * [backup-simplify]: Simplify (- 0) into 0
1.740 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.740 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.740 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
1.740 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
1.740 * [taylor]: Taking taylor expansion of 1 in J
1.740 * [backup-simplify]: Simplify 1 into 1
1.740 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
1.740 * [taylor]: Taking taylor expansion of 1/4 in J
1.740 * [backup-simplify]: Simplify 1/4 into 1/4
1.740 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
1.740 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.740 * [taylor]: Taking taylor expansion of J in J
1.740 * [backup-simplify]: Simplify 0 into 0
1.740 * [backup-simplify]: Simplify 1 into 1
1.740 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
1.740 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
1.740 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
1.740 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
1.740 * [taylor]: Taking taylor expansion of -1/2 in J
1.740 * [backup-simplify]: Simplify -1/2 into -1/2
1.740 * [taylor]: Taking taylor expansion of K in J
1.740 * [backup-simplify]: Simplify K into K
1.740 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.740 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.740 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.740 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.740 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.740 * [backup-simplify]: Simplify (- 0) into 0
1.741 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.741 * [taylor]: Taking taylor expansion of (pow U 2) in J
1.741 * [taylor]: Taking taylor expansion of U in J
1.741 * [backup-simplify]: Simplify U into U
1.741 * [backup-simplify]: Simplify (* 1 1) into 1
1.741 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.741 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.741 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
1.741 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
1.741 * [backup-simplify]: Simplify (+ 1 0) into 1
1.742 * [backup-simplify]: Simplify (sqrt 1) into 1
1.742 * [backup-simplify]: Simplify (+ 0 0) into 0
1.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.742 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K
1.742 * [taylor]: Taking taylor expansion of 2 in K
1.742 * [backup-simplify]: Simplify 2 into 2
1.742 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K
1.742 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
1.743 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
1.743 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
1.743 * [taylor]: Taking taylor expansion of -1/2 in K
1.743 * [backup-simplify]: Simplify -1/2 into -1/2
1.743 * [taylor]: Taking taylor expansion of K in K
1.743 * [backup-simplify]: Simplify 0 into 0
1.743 * [backup-simplify]: Simplify 1 into 1
1.743 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
1.743 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.743 * [taylor]: Taking taylor expansion of J in K
1.743 * [backup-simplify]: Simplify J into J
1.743 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
1.743 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
1.743 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
1.743 * [taylor]: Taking taylor expansion of 1 in K
1.743 * [backup-simplify]: Simplify 1 into 1
1.743 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
1.743 * [taylor]: Taking taylor expansion of 1/4 in K
1.743 * [backup-simplify]: Simplify 1/4 into 1/4
1.743 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
1.743 * [taylor]: Taking taylor expansion of (pow J 2) in K
1.743 * [taylor]: Taking taylor expansion of J in K
1.743 * [backup-simplify]: Simplify J into J
1.743 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
1.743 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
1.743 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
1.743 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
1.743 * [taylor]: Taking taylor expansion of -1/2 in K
1.743 * [backup-simplify]: Simplify -1/2 into -1/2
1.743 * [taylor]: Taking taylor expansion of K in K
1.743 * [backup-simplify]: Simplify 0 into 0
1.743 * [backup-simplify]: Simplify 1 into 1
1.744 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
1.744 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.744 * [taylor]: Taking taylor expansion of (pow U 2) in K
1.744 * [taylor]: Taking taylor expansion of U in K
1.744 * [backup-simplify]: Simplify U into U
1.744 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.744 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.744 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.744 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
1.744 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
1.744 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
1.744 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
1.745 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
1.745 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.745 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.745 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
1.745 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
1.745 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
1.746 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
1.746 * [backup-simplify]: Simplify (+ 0 0) into 0
1.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
1.746 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
1.746 * [taylor]: Taking taylor expansion of 2 in U
1.746 * [backup-simplify]: Simplify 2 into 2
1.746 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
1.746 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
1.746 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
1.746 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
1.746 * [taylor]: Taking taylor expansion of -1/2 in U
1.746 * [backup-simplify]: Simplify -1/2 into -1/2
1.746 * [taylor]: Taking taylor expansion of K in U
1.746 * [backup-simplify]: Simplify K into K
1.746 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.746 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.747 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.747 * [taylor]: Taking taylor expansion of J in U
1.747 * [backup-simplify]: Simplify J into J
1.747 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.747 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.747 * [backup-simplify]: Simplify (- 0) into 0
1.747 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.747 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
1.747 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
1.747 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
1.747 * [taylor]: Taking taylor expansion of 1 in U
1.747 * [backup-simplify]: Simplify 1 into 1
1.747 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
1.747 * [taylor]: Taking taylor expansion of 1/4 in U
1.747 * [backup-simplify]: Simplify 1/4 into 1/4
1.747 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
1.747 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.747 * [taylor]: Taking taylor expansion of J in U
1.747 * [backup-simplify]: Simplify J into J
1.747 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
1.747 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
1.747 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
1.747 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
1.747 * [taylor]: Taking taylor expansion of -1/2 in U
1.747 * [backup-simplify]: Simplify -1/2 into -1/2
1.747 * [taylor]: Taking taylor expansion of K in U
1.747 * [backup-simplify]: Simplify K into K
1.747 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.747 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.747 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.747 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.748 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.748 * [backup-simplify]: Simplify (- 0) into 0
1.748 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.748 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.748 * [taylor]: Taking taylor expansion of U in U
1.748 * [backup-simplify]: Simplify 0 into 0
1.748 * [backup-simplify]: Simplify 1 into 1
1.748 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.748 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.748 * [backup-simplify]: Simplify (* 1 1) into 1
1.748 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
1.748 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
1.749 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
1.749 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
1.749 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
1.749 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.750 * [backup-simplify]: Simplify (+ 0) into 0
1.750 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.750 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.751 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.751 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.751 * [backup-simplify]: Simplify (- 0) into 0
1.751 * [backup-simplify]: Simplify (+ 0 0) into 0
1.751 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
1.752 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
1.752 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
1.752 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
1.753 * [backup-simplify]: Simplify (+ 0 0) into 0
1.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
1.753 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
1.753 * [taylor]: Taking taylor expansion of 2 in U
1.753 * [backup-simplify]: Simplify 2 into 2
1.753 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
1.753 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
1.753 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
1.753 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
1.753 * [taylor]: Taking taylor expansion of -1/2 in U
1.753 * [backup-simplify]: Simplify -1/2 into -1/2
1.753 * [taylor]: Taking taylor expansion of K in U
1.753 * [backup-simplify]: Simplify K into K
1.753 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.753 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.753 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.753 * [taylor]: Taking taylor expansion of J in U
1.753 * [backup-simplify]: Simplify J into J
1.753 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.753 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.753 * [backup-simplify]: Simplify (- 0) into 0
1.754 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.754 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
1.754 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
1.754 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
1.754 * [taylor]: Taking taylor expansion of 1 in U
1.754 * [backup-simplify]: Simplify 1 into 1
1.754 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
1.754 * [taylor]: Taking taylor expansion of 1/4 in U
1.754 * [backup-simplify]: Simplify 1/4 into 1/4
1.754 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
1.754 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.754 * [taylor]: Taking taylor expansion of J in U
1.754 * [backup-simplify]: Simplify J into J
1.754 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
1.754 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
1.754 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
1.754 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
1.754 * [taylor]: Taking taylor expansion of -1/2 in U
1.754 * [backup-simplify]: Simplify -1/2 into -1/2
1.754 * [taylor]: Taking taylor expansion of K in U
1.754 * [backup-simplify]: Simplify K into K
1.754 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.754 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.754 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.754 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.754 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.754 * [backup-simplify]: Simplify (- 0) into 0
1.754 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.754 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.754 * [taylor]: Taking taylor expansion of U in U
1.754 * [backup-simplify]: Simplify 0 into 0
1.754 * [backup-simplify]: Simplify 1 into 1
1.754 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.755 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.755 * [backup-simplify]: Simplify (* 1 1) into 1
1.755 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
1.755 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
1.755 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
1.755 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
1.755 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
1.755 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.756 * [backup-simplify]: Simplify (+ 0) into 0
1.756 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.757 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.757 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.757 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.758 * [backup-simplify]: Simplify (- 0) into 0
1.758 * [backup-simplify]: Simplify (+ 0 0) into 0
1.758 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
1.758 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
1.758 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
1.759 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
1.759 * [backup-simplify]: Simplify (+ 0 0) into 0
1.759 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
1.759 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2
1.760 * [backup-simplify]: Simplify (* 2 1/2) into 1
1.760 * [taylor]: Taking taylor expansion of 1 in K
1.760 * [backup-simplify]: Simplify 1 into 1
1.760 * [taylor]: Taking taylor expansion of 1 in J
1.760 * [backup-simplify]: Simplify 1 into 1
1.760 * [backup-simplify]: Simplify (+ 0) into 0
1.761 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.761 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.761 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.762 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.762 * [backup-simplify]: Simplify (- 0) into 0
1.762 * [backup-simplify]: Simplify (+ 0 0) into 0
1.762 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0
1.762 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
1.763 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0
1.763 * [taylor]: Taking taylor expansion of 0 in K
1.763 * [backup-simplify]: Simplify 0 into 0
1.763 * [taylor]: Taking taylor expansion of 0 in J
1.763 * [backup-simplify]: Simplify 0 into 0
1.763 * [taylor]: Taking taylor expansion of 0 in J
1.763 * [backup-simplify]: Simplify 0 into 0
1.763 * [backup-simplify]: Simplify 1 into 1
1.763 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
1.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.764 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.765 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.765 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.765 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.766 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.766 * [backup-simplify]: Simplify (- 0) into 0
1.766 * [backup-simplify]: Simplify (+ 0 0) into 0
1.766 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
1.767 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
1.768 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
1.769 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
1.769 * [backup-simplify]: Simplify (+ 1 0) into 1
1.770 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
1.771 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.771 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.772 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.772 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.773 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.773 * [backup-simplify]: Simplify (- 0) into 0
1.774 * [backup-simplify]: Simplify (+ 0 0) into 0
1.774 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
1.775 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))
1.776 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))
1.776 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K
1.776 * [taylor]: Taking taylor expansion of 2 in K
1.776 * [backup-simplify]: Simplify 2 into 2
1.776 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K
1.776 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
1.776 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
1.776 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
1.776 * [taylor]: Taking taylor expansion of -1/2 in K
1.776 * [backup-simplify]: Simplify -1/2 into -1/2
1.776 * [taylor]: Taking taylor expansion of K in K
1.776 * [backup-simplify]: Simplify 0 into 0
1.776 * [backup-simplify]: Simplify 1 into 1
1.776 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
1.776 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.777 * [taylor]: Taking taylor expansion of (pow J 2) in K
1.777 * [taylor]: Taking taylor expansion of J in K
1.777 * [backup-simplify]: Simplify J into J
1.777 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.777 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.777 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))
1.777 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))
1.777 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J
1.777 * [taylor]: Taking taylor expansion of 2 in J
1.777 * [backup-simplify]: Simplify 2 into 2
1.777 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J
1.777 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
1.777 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
1.777 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
1.777 * [taylor]: Taking taylor expansion of -1/2 in J
1.777 * [backup-simplify]: Simplify -1/2 into -1/2
1.777 * [taylor]: Taking taylor expansion of K in J
1.777 * [backup-simplify]: Simplify K into K
1.777 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.778 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.778 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.778 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.778 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.778 * [backup-simplify]: Simplify (- 0) into 0
1.778 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.778 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.778 * [taylor]: Taking taylor expansion of J in J
1.778 * [backup-simplify]: Simplify 0 into 0
1.778 * [backup-simplify]: Simplify 1 into 1
1.778 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.779 * [backup-simplify]: Simplify (* 1 1) into 1
1.779 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
1.779 * [backup-simplify]: Simplify (+ 0) into 0
1.780 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.780 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.781 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.781 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.782 * [backup-simplify]: Simplify (- 0) into 0
1.782 * [backup-simplify]: Simplify (+ 0 0) into 0
1.782 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
1.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0
1.784 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
1.784 * [backup-simplify]: Simplify 0 into 0
1.785 * [taylor]: Taking taylor expansion of 0 in J
1.785 * [backup-simplify]: Simplify 0 into 0
1.785 * [taylor]: Taking taylor expansion of 0 in J
1.785 * [backup-simplify]: Simplify 0 into 0
1.785 * [backup-simplify]: Simplify 0 into 0
1.785 * [backup-simplify]: Simplify 0 into 0
1.785 * [backup-simplify]: Simplify 0 into 0
1.786 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
1.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.787 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.788 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.788 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.790 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.791 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.791 * [backup-simplify]: Simplify (- 0) into 0
1.791 * [backup-simplify]: Simplify (+ 0 0) into 0
1.792 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
1.792 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.793 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
1.793 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
1.794 * [backup-simplify]: Simplify (+ 0 0) into 0
1.794 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
1.794 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.795 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.795 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.796 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.796 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.796 * [backup-simplify]: Simplify (- 0) into 0
1.797 * [backup-simplify]: Simplify (+ 0 0) into 0
1.797 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
1.797 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0
1.798 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0
1.798 * [taylor]: Taking taylor expansion of 0 in K
1.798 * [backup-simplify]: Simplify 0 into 0
1.798 * [taylor]: Taking taylor expansion of 0 in J
1.798 * [backup-simplify]: Simplify 0 into 0
1.798 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
1.798 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.798 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
1.799 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0
1.799 * [taylor]: Taking taylor expansion of 0 in J
1.799 * [backup-simplify]: Simplify 0 into 0
1.799 * [taylor]: Taking taylor expansion of 0 in J
1.799 * [backup-simplify]: Simplify 0 into 0
1.799 * [taylor]: Taking taylor expansion of 0 in J
1.799 * [backup-simplify]: Simplify 0 into 0
1.800 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.800 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.800 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.801 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.801 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.801 * [backup-simplify]: Simplify (- 0) into 0
1.801 * [backup-simplify]: Simplify (+ 0 0) into 0
1.802 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
1.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.804 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
1.804 * [backup-simplify]: Simplify 0 into 0
1.804 * [backup-simplify]: Simplify 0 into 0
1.804 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U)
1.804 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1)
1.804 * [backup-simplify]: Simplify (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
1.804 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in (U K J) around 0
1.804 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
1.804 * [taylor]: Taking taylor expansion of 1/4 in J
1.804 * [backup-simplify]: Simplify 1/4 into 1/4
1.804 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
1.804 * [taylor]: Taking taylor expansion of (pow U 2) in J
1.804 * [taylor]: Taking taylor expansion of U in J
1.804 * [backup-simplify]: Simplify U into U
1.804 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
1.804 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
1.805 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
1.805 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
1.805 * [taylor]: Taking taylor expansion of 1/2 in J
1.805 * [backup-simplify]: Simplify 1/2 into 1/2
1.805 * [taylor]: Taking taylor expansion of K in J
1.805 * [backup-simplify]: Simplify K into K
1.805 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.805 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.805 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.805 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.805 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.805 * [backup-simplify]: Simplify (- 0) into 0
1.805 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.805 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.805 * [taylor]: Taking taylor expansion of J in J
1.805 * [backup-simplify]: Simplify 0 into 0
1.805 * [backup-simplify]: Simplify 1 into 1
1.805 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.805 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
1.806 * [backup-simplify]: Simplify (* 1 1) into 1
1.806 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
1.806 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
1.806 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
1.806 * [taylor]: Taking taylor expansion of 1/4 in K
1.806 * [backup-simplify]: Simplify 1/4 into 1/4
1.806 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
1.806 * [taylor]: Taking taylor expansion of (pow U 2) in K
1.806 * [taylor]: Taking taylor expansion of U in K
1.806 * [backup-simplify]: Simplify U into U
1.806 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
1.806 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
1.806 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
1.806 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
1.806 * [taylor]: Taking taylor expansion of 1/2 in K
1.806 * [backup-simplify]: Simplify 1/2 into 1/2
1.806 * [taylor]: Taking taylor expansion of K in K
1.806 * [backup-simplify]: Simplify 0 into 0
1.806 * [backup-simplify]: Simplify 1 into 1
1.806 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.807 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.807 * [taylor]: Taking taylor expansion of (pow J 2) in K
1.807 * [taylor]: Taking taylor expansion of J in K
1.807 * [backup-simplify]: Simplify J into J
1.807 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.807 * [backup-simplify]: Simplify (* 1 1) into 1
1.807 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.807 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
1.807 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
1.807 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
1.807 * [taylor]: Taking taylor expansion of 1/4 in U
1.807 * [backup-simplify]: Simplify 1/4 into 1/4
1.807 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
1.808 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.808 * [taylor]: Taking taylor expansion of U in U
1.808 * [backup-simplify]: Simplify 0 into 0
1.808 * [backup-simplify]: Simplify 1 into 1
1.808 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
1.808 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
1.808 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
1.808 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
1.808 * [taylor]: Taking taylor expansion of 1/2 in U
1.808 * [backup-simplify]: Simplify 1/2 into 1/2
1.808 * [taylor]: Taking taylor expansion of K in U
1.808 * [backup-simplify]: Simplify K into K
1.808 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.808 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.808 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.808 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.808 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.808 * [backup-simplify]: Simplify (- 0) into 0
1.808 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.808 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.808 * [taylor]: Taking taylor expansion of J in U
1.808 * [backup-simplify]: Simplify J into J
1.809 * [backup-simplify]: Simplify (* 1 1) into 1
1.809 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
1.809 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.809 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
1.809 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
1.809 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
1.809 * [taylor]: Taking taylor expansion of 1/4 in U
1.809 * [backup-simplify]: Simplify 1/4 into 1/4
1.809 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
1.809 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.809 * [taylor]: Taking taylor expansion of U in U
1.809 * [backup-simplify]: Simplify 0 into 0
1.809 * [backup-simplify]: Simplify 1 into 1
1.809 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
1.809 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
1.809 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
1.809 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
1.809 * [taylor]: Taking taylor expansion of 1/2 in U
1.809 * [backup-simplify]: Simplify 1/2 into 1/2
1.809 * [taylor]: Taking taylor expansion of K in U
1.809 * [backup-simplify]: Simplify K into K
1.809 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.809 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.809 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.809 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.809 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.810 * [backup-simplify]: Simplify (- 0) into 0
1.810 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.810 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.810 * [taylor]: Taking taylor expansion of J in U
1.810 * [backup-simplify]: Simplify J into J
1.810 * [backup-simplify]: Simplify (* 1 1) into 1
1.810 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
1.810 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.810 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
1.810 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
1.811 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
1.811 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
1.811 * [taylor]: Taking taylor expansion of 1/4 in K
1.811 * [backup-simplify]: Simplify 1/4 into 1/4
1.811 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
1.811 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
1.811 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
1.811 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
1.811 * [taylor]: Taking taylor expansion of 1/2 in K
1.811 * [backup-simplify]: Simplify 1/2 into 1/2
1.811 * [taylor]: Taking taylor expansion of K in K
1.811 * [backup-simplify]: Simplify 0 into 0
1.811 * [backup-simplify]: Simplify 1 into 1
1.811 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.811 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.811 * [taylor]: Taking taylor expansion of (pow J 2) in K
1.811 * [taylor]: Taking taylor expansion of J in K
1.812 * [backup-simplify]: Simplify J into J
1.812 * [backup-simplify]: Simplify (* 1 1) into 1
1.812 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.812 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
1.812 * [backup-simplify]: Simplify (/ 1/4 (pow J 2)) into (/ 1/4 (pow J 2))
1.812 * [taylor]: Taking taylor expansion of (/ 1/4 (pow J 2)) in J
1.812 * [taylor]: Taking taylor expansion of 1/4 in J
1.812 * [backup-simplify]: Simplify 1/4 into 1/4
1.812 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.812 * [taylor]: Taking taylor expansion of J in J
1.812 * [backup-simplify]: Simplify 0 into 0
1.812 * [backup-simplify]: Simplify 1 into 1
1.812 * [backup-simplify]: Simplify (* 1 1) into 1
1.813 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
1.813 * [backup-simplify]: Simplify 1/4 into 1/4
1.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.813 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.813 * [backup-simplify]: Simplify (+ 0) into 0
1.814 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
1.814 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
1.814 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.815 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
1.815 * [backup-simplify]: Simplify (- 0) into 0
1.815 * [backup-simplify]: Simplify (+ 0 0) into 0
1.815 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
1.815 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
1.816 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
1.816 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
1.816 * [taylor]: Taking taylor expansion of 0 in K
1.816 * [backup-simplify]: Simplify 0 into 0
1.816 * [taylor]: Taking taylor expansion of 0 in J
1.816 * [backup-simplify]: Simplify 0 into 0
1.816 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.816 * [backup-simplify]: Simplify (+ 0) into 0
1.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
1.817 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))))) into 0
1.817 * [taylor]: Taking taylor expansion of 0 in J
1.817 * [backup-simplify]: Simplify 0 into 0
1.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
1.818 * [backup-simplify]: Simplify 0 into 0
1.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.819 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
1.820 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.820 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.821 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
1.821 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.822 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.822 * [backup-simplify]: Simplify (- 0) into 0
1.822 * [backup-simplify]: Simplify (+ 0 0) into 0
1.822 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
1.823 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
1.823 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
1.824 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
1.824 * [taylor]: Taking taylor expansion of 0 in K
1.824 * [backup-simplify]: Simplify 0 into 0
1.824 * [taylor]: Taking taylor expansion of 0 in J
1.824 * [backup-simplify]: Simplify 0 into 0
1.824 * [taylor]: Taking taylor expansion of 0 in J
1.824 * [backup-simplify]: Simplify 0 into 0
1.824 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
1.825 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
1.825 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4
1.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (pow J 2)))) into (- (* 1/4 (pow J 2)))
1.826 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/16 (/ 1 (pow J 2)))
1.826 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (pow J 2))) in J
1.826 * [taylor]: Taking taylor expansion of 1/16 in J
1.826 * [backup-simplify]: Simplify 1/16 into 1/16
1.826 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J
1.826 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.826 * [taylor]: Taking taylor expansion of J in J
1.826 * [backup-simplify]: Simplify 0 into 0
1.826 * [backup-simplify]: Simplify 1 into 1
1.826 * [backup-simplify]: Simplify (* 1 1) into 1
1.827 * [backup-simplify]: Simplify (/ 1 1) into 1
1.827 * [backup-simplify]: Simplify (* 1/16 1) into 1/16
1.827 * [backup-simplify]: Simplify 1/16 into 1/16
1.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.828 * [backup-simplify]: Simplify 0 into 0
1.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.829 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
1.830 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.830 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.831 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
1.833 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.834 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.834 * [backup-simplify]: Simplify (- 0) into 0
1.834 * [backup-simplify]: Simplify (+ 0 0) into 0
1.835 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
1.836 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0
1.837 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
1.838 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0
1.838 * [taylor]: Taking taylor expansion of 0 in K
1.838 * [backup-simplify]: Simplify 0 into 0
1.838 * [taylor]: Taking taylor expansion of 0 in J
1.838 * [backup-simplify]: Simplify 0 into 0
1.838 * [taylor]: Taking taylor expansion of 0 in J
1.838 * [backup-simplify]: Simplify 0 into 0
1.838 * [taylor]: Taking taylor expansion of 0 in J
1.839 * [backup-simplify]: Simplify 0 into 0
1.839 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
1.840 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1.842 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0
1.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (pow J 2))))) into 0
1.845 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))) (* 0 (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* (* 1/16 (/ 1 (pow J 2))) (/ 0 (pow J 2))))) into 0
1.845 * [taylor]: Taking taylor expansion of 0 in J
1.845 * [backup-simplify]: Simplify 0 into 0
1.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.847 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 1)) into 0
1.847 * [backup-simplify]: Simplify 0 into 0
1.847 * [backup-simplify]: Simplify 0 into 0
1.847 * [backup-simplify]: Simplify 0 into 0
1.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.849 * [backup-simplify]: Simplify 0 into 0
1.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.852 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0
1.854 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
1.855 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.857 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0
1.858 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
1.859 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
1.860 * [backup-simplify]: Simplify (- 0) into 0
1.860 * [backup-simplify]: Simplify (+ 0 0) into 0
1.861 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0
1.863 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0
1.864 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
1.865 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))) into 0
1.865 * [taylor]: Taking taylor expansion of 0 in K
1.866 * [backup-simplify]: Simplify 0 into 0
1.866 * [taylor]: Taking taylor expansion of 0 in J
1.866 * [backup-simplify]: Simplify 0 into 0
1.866 * [taylor]: Taking taylor expansion of 0 in J
1.866 * [backup-simplify]: Simplify 0 into 0
1.866 * [taylor]: Taking taylor expansion of 0 in J
1.866 * [backup-simplify]: Simplify 0 into 0
1.866 * [taylor]: Taking taylor expansion of 0 in J
1.866 * [backup-simplify]: Simplify 0 into 0
1.867 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0
1.868 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1.872 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
1.873 * [backup-simplify]: Simplify (+ (* 1 1/384) (+ (* 0 0) (+ (* -1/8 -1/8) (+ (* 0 0) (* 1/384 1))))) into 1/48
1.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 1/48 (pow J 2)))))) into (* 1/48 (pow J 2))
1.876 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ (* 1/48 (pow J 2)) (pow J 2))) (* 0 (/ 0 (pow J 2))) (* (* 1/16 (/ 1 (pow J 2))) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/96 (/ 1 (pow J 2)))
1.876 * [taylor]: Taking taylor expansion of (* 1/96 (/ 1 (pow J 2))) in J
1.876 * [taylor]: Taking taylor expansion of 1/96 in J
1.876 * [backup-simplify]: Simplify 1/96 into 1/96
1.876 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J
1.876 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.876 * [taylor]: Taking taylor expansion of J in J
1.876 * [backup-simplify]: Simplify 0 into 0
1.876 * [backup-simplify]: Simplify 1 into 1
1.877 * [backup-simplify]: Simplify (* 1 1) into 1
1.877 * [backup-simplify]: Simplify (/ 1 1) into 1
1.877 * [backup-simplify]: Simplify (* 1/96 1) into 1/96
1.877 * [backup-simplify]: Simplify 1/96 into 1/96
1.878 * [backup-simplify]: Simplify (+ (* 1/96 (pow (* (/ 1 J) (* (pow K 2) U)) 2)) (+ (* 1/16 (pow (* (/ 1 J) (* K U)) 2)) (* 1/4 (pow (* (/ 1 J) (* 1 U)) 2)))) into (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (* (pow K 4) (pow U 2)) (pow J 2)))))
1.879 * [backup-simplify]: Simplify (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
1.879 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in (U K J) around 0
1.879 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
1.879 * [taylor]: Taking taylor expansion of 1/4 in J
1.879 * [backup-simplify]: Simplify 1/4 into 1/4
1.879 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
1.879 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.879 * [taylor]: Taking taylor expansion of J in J
1.879 * [backup-simplify]: Simplify 0 into 0
1.879 * [backup-simplify]: Simplify 1 into 1
1.879 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
1.879 * [taylor]: Taking taylor expansion of (pow U 2) in J
1.879 * [taylor]: Taking taylor expansion of U in J
1.879 * [backup-simplify]: Simplify U into U
1.879 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
1.879 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
1.879 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
1.879 * [taylor]: Taking taylor expansion of 1/2 in J
1.879 * [backup-simplify]: Simplify 1/2 into 1/2
1.879 * [taylor]: Taking taylor expansion of K in J
1.879 * [backup-simplify]: Simplify K into K
1.880 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.880 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.880 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.880 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.880 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.880 * [backup-simplify]: Simplify (- 0) into 0
1.880 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.881 * [backup-simplify]: Simplify (* 1 1) into 1
1.881 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.881 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.881 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
1.881 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
1.881 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
1.881 * [taylor]: Taking taylor expansion of 1/4 in K
1.881 * [backup-simplify]: Simplify 1/4 into 1/4
1.881 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
1.881 * [taylor]: Taking taylor expansion of (pow J 2) in K
1.882 * [taylor]: Taking taylor expansion of J in K
1.882 * [backup-simplify]: Simplify J into J
1.882 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
1.882 * [taylor]: Taking taylor expansion of (pow U 2) in K
1.882 * [taylor]: Taking taylor expansion of U in K
1.882 * [backup-simplify]: Simplify U into U
1.882 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
1.882 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
1.882 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
1.882 * [taylor]: Taking taylor expansion of 1/2 in K
1.882 * [backup-simplify]: Simplify 1/2 into 1/2
1.882 * [taylor]: Taking taylor expansion of K in K
1.882 * [backup-simplify]: Simplify 0 into 0
1.882 * [backup-simplify]: Simplify 1 into 1
1.882 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.882 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.882 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.883 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.883 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.883 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
1.883 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
1.883 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
1.883 * [taylor]: Taking taylor expansion of 1/4 in U
1.883 * [backup-simplify]: Simplify 1/4 into 1/4
1.883 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
1.883 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.883 * [taylor]: Taking taylor expansion of J in U
1.883 * [backup-simplify]: Simplify J into J
1.883 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
1.883 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.883 * [taylor]: Taking taylor expansion of U in U
1.883 * [backup-simplify]: Simplify 0 into 0
1.883 * [backup-simplify]: Simplify 1 into 1
1.883 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
1.883 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
1.884 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
1.884 * [taylor]: Taking taylor expansion of 1/2 in U
1.884 * [backup-simplify]: Simplify 1/2 into 1/2
1.884 * [taylor]: Taking taylor expansion of K in U
1.884 * [backup-simplify]: Simplify K into K
1.884 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.884 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.884 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.884 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.884 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.885 * [backup-simplify]: Simplify (- 0) into 0
1.885 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.885 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.885 * [backup-simplify]: Simplify (* 1 1) into 1
1.885 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.885 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
1.886 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
1.886 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
1.886 * [taylor]: Taking taylor expansion of 1/4 in U
1.886 * [backup-simplify]: Simplify 1/4 into 1/4
1.886 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
1.886 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.886 * [taylor]: Taking taylor expansion of J in U
1.886 * [backup-simplify]: Simplify J into J
1.886 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
1.886 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.886 * [taylor]: Taking taylor expansion of U in U
1.886 * [backup-simplify]: Simplify 0 into 0
1.886 * [backup-simplify]: Simplify 1 into 1
1.886 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
1.886 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
1.886 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
1.886 * [taylor]: Taking taylor expansion of 1/2 in U
1.886 * [backup-simplify]: Simplify 1/2 into 1/2
1.886 * [taylor]: Taking taylor expansion of K in U
1.886 * [backup-simplify]: Simplify K into K
1.886 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.886 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.886 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.886 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.887 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.887 * [backup-simplify]: Simplify (- 0) into 0
1.887 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.887 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.887 * [backup-simplify]: Simplify (* 1 1) into 1
1.888 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.888 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
1.888 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
1.888 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
1.888 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K
1.888 * [taylor]: Taking taylor expansion of 1/4 in K
1.888 * [backup-simplify]: Simplify 1/4 into 1/4
1.888 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K
1.888 * [taylor]: Taking taylor expansion of (pow J 2) in K
1.888 * [taylor]: Taking taylor expansion of J in K
1.888 * [backup-simplify]: Simplify J into J
1.888 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
1.888 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
1.888 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
1.888 * [taylor]: Taking taylor expansion of 1/2 in K
1.888 * [backup-simplify]: Simplify 1/2 into 1/2
1.888 * [taylor]: Taking taylor expansion of K in K
1.889 * [backup-simplify]: Simplify 0 into 0
1.889 * [backup-simplify]: Simplify 1 into 1
1.889 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.889 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.889 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.889 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.889 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
1.890 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
1.890 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J
1.890 * [taylor]: Taking taylor expansion of 1/4 in J
1.890 * [backup-simplify]: Simplify 1/4 into 1/4
1.890 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J
1.890 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.890 * [taylor]: Taking taylor expansion of J in J
1.890 * [backup-simplify]: Simplify 0 into 0
1.890 * [backup-simplify]: Simplify 1 into 1
1.890 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
1.890 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
1.890 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
1.890 * [taylor]: Taking taylor expansion of 1/2 in J
1.890 * [backup-simplify]: Simplify 1/2 into 1/2
1.890 * [taylor]: Taking taylor expansion of K in J
1.890 * [backup-simplify]: Simplify K into K
1.890 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.890 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.890 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.890 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.890 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.891 * [backup-simplify]: Simplify (- 0) into 0
1.891 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.891 * [backup-simplify]: Simplify (* 1 1) into 1
1.891 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.891 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2))
1.892 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
1.892 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
1.892 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.892 * [backup-simplify]: Simplify (+ 0) into 0
1.893 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.893 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.894 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.894 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.895 * [backup-simplify]: Simplify (- 0) into 0
1.895 * [backup-simplify]: Simplify (+ 0 0) into 0
1.895 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
1.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
1.896 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
1.896 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
1.896 * [taylor]: Taking taylor expansion of 0 in K
1.896 * [backup-simplify]: Simplify 0 into 0
1.896 * [taylor]: Taking taylor expansion of 0 in J
1.896 * [backup-simplify]: Simplify 0 into 0
1.896 * [backup-simplify]: Simplify 0 into 0
1.896 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.896 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
1.897 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
1.897 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
1.897 * [taylor]: Taking taylor expansion of 0 in J
1.897 * [backup-simplify]: Simplify 0 into 0
1.897 * [backup-simplify]: Simplify 0 into 0
1.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.898 * [backup-simplify]: Simplify (+ 0) into 0
1.898 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.898 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.899 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.899 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.899 * [backup-simplify]: Simplify (- 0) into 0
1.899 * [backup-simplify]: Simplify (+ 0 0) into 0
1.900 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
1.900 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
1.900 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0
1.900 * [backup-simplify]: Simplify 0 into 0
1.900 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
1.901 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.901 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.902 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.902 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.902 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.903 * [backup-simplify]: Simplify (- 0) into 0
1.903 * [backup-simplify]: Simplify (+ 0 0) into 0
1.903 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
1.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
1.906 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
1.907 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
1.907 * [taylor]: Taking taylor expansion of 0 in K
1.907 * [backup-simplify]: Simplify 0 into 0
1.907 * [taylor]: Taking taylor expansion of 0 in J
1.907 * [backup-simplify]: Simplify 0 into 0
1.907 * [backup-simplify]: Simplify 0 into 0
1.907 * [taylor]: Taking taylor expansion of 0 in J
1.907 * [backup-simplify]: Simplify 0 into 0
1.907 * [backup-simplify]: Simplify 0 into 0
1.907 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
1.907 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
1.908 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
1.908 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
1.908 * [taylor]: Taking taylor expansion of 0 in J
1.908 * [backup-simplify]: Simplify 0 into 0
1.908 * [backup-simplify]: Simplify 0 into 0
1.908 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)) (pow (* (/ 1 J) (* 1 (/ 1 (/ 1 U)))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
1.909 * [backup-simplify]: Simplify (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
1.909 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in (U K J) around 0
1.909 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
1.909 * [taylor]: Taking taylor expansion of 1/4 in J
1.909 * [backup-simplify]: Simplify 1/4 into 1/4
1.909 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
1.909 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.909 * [taylor]: Taking taylor expansion of J in J
1.909 * [backup-simplify]: Simplify 0 into 0
1.909 * [backup-simplify]: Simplify 1 into 1
1.909 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
1.909 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
1.909 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
1.909 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
1.909 * [taylor]: Taking taylor expansion of -1/2 in J
1.909 * [backup-simplify]: Simplify -1/2 into -1/2
1.909 * [taylor]: Taking taylor expansion of K in J
1.909 * [backup-simplify]: Simplify K into K
1.909 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.909 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.909 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.909 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.909 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.910 * [backup-simplify]: Simplify (- 0) into 0
1.910 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.910 * [taylor]: Taking taylor expansion of (pow U 2) in J
1.910 * [taylor]: Taking taylor expansion of U in J
1.910 * [backup-simplify]: Simplify U into U
1.910 * [backup-simplify]: Simplify (* 1 1) into 1
1.910 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.910 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.910 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
1.910 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
1.910 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
1.910 * [taylor]: Taking taylor expansion of 1/4 in K
1.910 * [backup-simplify]: Simplify 1/4 into 1/4
1.910 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
1.910 * [taylor]: Taking taylor expansion of (pow J 2) in K
1.910 * [taylor]: Taking taylor expansion of J in K
1.910 * [backup-simplify]: Simplify J into J
1.910 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
1.910 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
1.910 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
1.910 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
1.910 * [taylor]: Taking taylor expansion of -1/2 in K
1.910 * [backup-simplify]: Simplify -1/2 into -1/2
1.910 * [taylor]: Taking taylor expansion of K in K
1.910 * [backup-simplify]: Simplify 0 into 0
1.910 * [backup-simplify]: Simplify 1 into 1
1.911 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
1.911 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.911 * [taylor]: Taking taylor expansion of (pow U 2) in K
1.911 * [taylor]: Taking taylor expansion of U in K
1.911 * [backup-simplify]: Simplify U into U
1.911 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.911 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.911 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.911 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
1.911 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
1.911 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
1.911 * [taylor]: Taking taylor expansion of 1/4 in U
1.911 * [backup-simplify]: Simplify 1/4 into 1/4
1.911 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
1.911 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.911 * [taylor]: Taking taylor expansion of J in U
1.911 * [backup-simplify]: Simplify J into J
1.911 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
1.911 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
1.911 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
1.911 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
1.911 * [taylor]: Taking taylor expansion of -1/2 in U
1.911 * [backup-simplify]: Simplify -1/2 into -1/2
1.911 * [taylor]: Taking taylor expansion of K in U
1.911 * [backup-simplify]: Simplify K into K
1.911 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.912 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.912 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.912 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.912 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.912 * [backup-simplify]: Simplify (- 0) into 0
1.912 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.912 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.912 * [taylor]: Taking taylor expansion of U in U
1.912 * [backup-simplify]: Simplify 0 into 0
1.912 * [backup-simplify]: Simplify 1 into 1
1.912 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.912 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.912 * [backup-simplify]: Simplify (* 1 1) into 1
1.912 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
1.913 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
1.913 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
1.913 * [taylor]: Taking taylor expansion of 1/4 in U
1.913 * [backup-simplify]: Simplify 1/4 into 1/4
1.913 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
1.913 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.913 * [taylor]: Taking taylor expansion of J in U
1.913 * [backup-simplify]: Simplify J into J
1.913 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
1.913 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
1.913 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
1.913 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
1.913 * [taylor]: Taking taylor expansion of -1/2 in U
1.913 * [backup-simplify]: Simplify -1/2 into -1/2
1.913 * [taylor]: Taking taylor expansion of K in U
1.913 * [backup-simplify]: Simplify K into K
1.913 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.913 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.913 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.913 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.913 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.913 * [backup-simplify]: Simplify (- 0) into 0
1.913 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.913 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.913 * [taylor]: Taking taylor expansion of U in U
1.913 * [backup-simplify]: Simplify 0 into 0
1.913 * [backup-simplify]: Simplify 1 into 1
1.913 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.914 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.914 * [backup-simplify]: Simplify (* 1 1) into 1
1.914 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
1.914 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
1.914 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
1.914 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K
1.914 * [taylor]: Taking taylor expansion of 1/4 in K
1.914 * [backup-simplify]: Simplify 1/4 into 1/4
1.914 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K
1.914 * [taylor]: Taking taylor expansion of (pow J 2) in K
1.914 * [taylor]: Taking taylor expansion of J in K
1.914 * [backup-simplify]: Simplify J into J
1.914 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
1.914 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
1.914 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
1.914 * [taylor]: Taking taylor expansion of -1/2 in K
1.914 * [backup-simplify]: Simplify -1/2 into -1/2
1.914 * [taylor]: Taking taylor expansion of K in K
1.914 * [backup-simplify]: Simplify 0 into 0
1.914 * [backup-simplify]: Simplify 1 into 1
1.915 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
1.915 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.915 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.915 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.915 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
1.915 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
1.915 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J
1.915 * [taylor]: Taking taylor expansion of 1/4 in J
1.915 * [backup-simplify]: Simplify 1/4 into 1/4
1.915 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J
1.915 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.915 * [taylor]: Taking taylor expansion of J in J
1.915 * [backup-simplify]: Simplify 0 into 0
1.915 * [backup-simplify]: Simplify 1 into 1
1.915 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
1.915 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
1.915 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
1.915 * [taylor]: Taking taylor expansion of -1/2 in J
1.915 * [backup-simplify]: Simplify -1/2 into -1/2
1.915 * [taylor]: Taking taylor expansion of K in J
1.915 * [backup-simplify]: Simplify K into K
1.915 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.915 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.915 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.915 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.915 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.916 * [backup-simplify]: Simplify (- 0) into 0
1.916 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.916 * [backup-simplify]: Simplify (* 1 1) into 1
1.916 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.916 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2))
1.916 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
1.916 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
1.916 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.917 * [backup-simplify]: Simplify (+ 0) into 0
1.917 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.917 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.918 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.918 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.918 * [backup-simplify]: Simplify (- 0) into 0
1.919 * [backup-simplify]: Simplify (+ 0 0) into 0
1.919 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
1.919 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
1.919 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
1.920 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
1.920 * [taylor]: Taking taylor expansion of 0 in K
1.920 * [backup-simplify]: Simplify 0 into 0
1.920 * [taylor]: Taking taylor expansion of 0 in J
1.920 * [backup-simplify]: Simplify 0 into 0
1.920 * [backup-simplify]: Simplify 0 into 0
1.920 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.920 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
1.920 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
1.921 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
1.921 * [taylor]: Taking taylor expansion of 0 in J
1.921 * [backup-simplify]: Simplify 0 into 0
1.921 * [backup-simplify]: Simplify 0 into 0
1.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.921 * [backup-simplify]: Simplify (+ 0) into 0
1.922 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.922 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.922 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.922 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.923 * [backup-simplify]: Simplify (- 0) into 0
1.923 * [backup-simplify]: Simplify (+ 0 0) into 0
1.923 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
1.924 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
1.924 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0
1.924 * [backup-simplify]: Simplify 0 into 0
1.925 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
1.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.926 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.927 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.927 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.928 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.929 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.929 * [backup-simplify]: Simplify (- 0) into 0
1.929 * [backup-simplify]: Simplify (+ 0 0) into 0
1.930 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
1.931 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
1.932 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
1.933 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
1.933 * [taylor]: Taking taylor expansion of 0 in K
1.933 * [backup-simplify]: Simplify 0 into 0
1.933 * [taylor]: Taking taylor expansion of 0 in J
1.933 * [backup-simplify]: Simplify 0 into 0
1.933 * [backup-simplify]: Simplify 0 into 0
1.933 * [taylor]: Taking taylor expansion of 0 in J
1.933 * [backup-simplify]: Simplify 0 into 0
1.933 * [backup-simplify]: Simplify 0 into 0
1.934 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
1.934 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
1.935 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
1.936 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
1.936 * [taylor]: Taking taylor expansion of 0 in J
1.936 * [backup-simplify]: Simplify 0 into 0
1.936 * [backup-simplify]: Simplify 0 into 0
1.936 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)) (pow (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U))))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
1.936 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 2)
1.936 * [backup-simplify]: Simplify (/ U (* 2 (* (cos (/ K 2)) J))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
1.936 * [approximate]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in (U K J) around 0
1.936 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J
1.936 * [taylor]: Taking taylor expansion of 1/2 in J
1.936 * [backup-simplify]: Simplify 1/2 into 1/2
1.936 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J
1.936 * [taylor]: Taking taylor expansion of U in J
1.936 * [backup-simplify]: Simplify U into U
1.936 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
1.937 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
1.937 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
1.937 * [taylor]: Taking taylor expansion of 1/2 in J
1.937 * [backup-simplify]: Simplify 1/2 into 1/2
1.937 * [taylor]: Taking taylor expansion of K in J
1.937 * [backup-simplify]: Simplify K into K
1.937 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.937 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.937 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.937 * [taylor]: Taking taylor expansion of J in J
1.937 * [backup-simplify]: Simplify 0 into 0
1.937 * [backup-simplify]: Simplify 1 into 1
1.937 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.937 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.937 * [backup-simplify]: Simplify (- 0) into 0
1.938 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.938 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
1.938 * [backup-simplify]: Simplify (+ 0) into 0
1.939 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
1.939 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
1.940 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.940 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
1.941 * [backup-simplify]: Simplify (- 0) into 0
1.941 * [backup-simplify]: Simplify (+ 0 0) into 0
1.942 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
1.942 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K)))
1.942 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K
1.942 * [taylor]: Taking taylor expansion of 1/2 in K
1.942 * [backup-simplify]: Simplify 1/2 into 1/2
1.942 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K
1.942 * [taylor]: Taking taylor expansion of U in K
1.942 * [backup-simplify]: Simplify U into U
1.942 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
1.942 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
1.942 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
1.942 * [taylor]: Taking taylor expansion of 1/2 in K
1.942 * [backup-simplify]: Simplify 1/2 into 1/2
1.942 * [taylor]: Taking taylor expansion of K in K
1.942 * [backup-simplify]: Simplify 0 into 0
1.942 * [backup-simplify]: Simplify 1 into 1
1.942 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.943 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.943 * [taylor]: Taking taylor expansion of J in K
1.943 * [backup-simplify]: Simplify J into J
1.943 * [backup-simplify]: Simplify (* 1 J) into J
1.943 * [backup-simplify]: Simplify (/ U J) into (/ U J)
1.943 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U
1.943 * [taylor]: Taking taylor expansion of 1/2 in U
1.943 * [backup-simplify]: Simplify 1/2 into 1/2
1.943 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U
1.943 * [taylor]: Taking taylor expansion of U in U
1.943 * [backup-simplify]: Simplify 0 into 0
1.944 * [backup-simplify]: Simplify 1 into 1
1.944 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
1.944 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
1.944 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
1.944 * [taylor]: Taking taylor expansion of 1/2 in U
1.944 * [backup-simplify]: Simplify 1/2 into 1/2
1.944 * [taylor]: Taking taylor expansion of K in U
1.944 * [backup-simplify]: Simplify K into K
1.944 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.944 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.944 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.944 * [taylor]: Taking taylor expansion of J in U
1.944 * [backup-simplify]: Simplify J into J
1.944 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.944 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.944 * [backup-simplify]: Simplify (- 0) into 0
1.945 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.945 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J)
1.945 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J))
1.945 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U
1.945 * [taylor]: Taking taylor expansion of 1/2 in U
1.945 * [backup-simplify]: Simplify 1/2 into 1/2
1.945 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U
1.945 * [taylor]: Taking taylor expansion of U in U
1.945 * [backup-simplify]: Simplify 0 into 0
1.945 * [backup-simplify]: Simplify 1 into 1
1.945 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
1.945 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
1.945 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
1.945 * [taylor]: Taking taylor expansion of 1/2 in U
1.945 * [backup-simplify]: Simplify 1/2 into 1/2
1.945 * [taylor]: Taking taylor expansion of K in U
1.945 * [backup-simplify]: Simplify K into K
1.945 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.945 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.945 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.945 * [taylor]: Taking taylor expansion of J in U
1.945 * [backup-simplify]: Simplify J into J
1.946 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.946 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.946 * [backup-simplify]: Simplify (- 0) into 0
1.946 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.946 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J)
1.946 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J))
1.947 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J))
1.947 * [taylor]: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in K
1.947 * [taylor]: Taking taylor expansion of 1/2 in K
1.947 * [backup-simplify]: Simplify 1/2 into 1/2
1.947 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
1.947 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
1.947 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
1.947 * [taylor]: Taking taylor expansion of 1/2 in K
1.947 * [backup-simplify]: Simplify 1/2 into 1/2
1.947 * [taylor]: Taking taylor expansion of K in K
1.947 * [backup-simplify]: Simplify 0 into 0
1.947 * [backup-simplify]: Simplify 1 into 1
1.948 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.948 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.948 * [taylor]: Taking taylor expansion of J in K
1.948 * [backup-simplify]: Simplify J into J
1.948 * [backup-simplify]: Simplify (* 1 J) into J
1.949 * [backup-simplify]: Simplify (/ 1/2 J) into (/ 1/2 J)
1.949 * [taylor]: Taking taylor expansion of (/ 1/2 J) in J
1.949 * [taylor]: Taking taylor expansion of 1/2 in J
1.949 * [backup-simplify]: Simplify 1/2 into 1/2
1.949 * [taylor]: Taking taylor expansion of J in J
1.949 * [backup-simplify]: Simplify 0 into 0
1.949 * [backup-simplify]: Simplify 1 into 1
1.949 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.949 * [backup-simplify]: Simplify 1/2 into 1/2
1.950 * [backup-simplify]: Simplify (+ 0) into 0
1.950 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
1.951 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
1.951 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.952 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
1.952 * [backup-simplify]: Simplify (- 0) into 0
1.953 * [backup-simplify]: Simplify (+ 0 0) into 0
1.953 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0
1.953 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0
1.954 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0
1.954 * [taylor]: Taking taylor expansion of 0 in K
1.954 * [backup-simplify]: Simplify 0 into 0
1.954 * [taylor]: Taking taylor expansion of 0 in J
1.954 * [backup-simplify]: Simplify 0 into 0
1.954 * [backup-simplify]: Simplify (+ 0) into 0
1.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0
1.955 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ 1/2 J) (/ 0 J)))) into 0
1.955 * [taylor]: Taking taylor expansion of 0 in J
1.955 * [backup-simplify]: Simplify 0 into 0
1.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.956 * [backup-simplify]: Simplify 0 into 0
1.957 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.957 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.958 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
1.959 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.960 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.960 * [backup-simplify]: Simplify (- 0) into 0
1.960 * [backup-simplify]: Simplify (+ 0 0) into 0
1.961 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0
1.961 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0
1.962 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J))))) into 0
1.962 * [taylor]: Taking taylor expansion of 0 in K
1.962 * [backup-simplify]: Simplify 0 into 0
1.962 * [taylor]: Taking taylor expansion of 0 in J
1.962 * [backup-simplify]: Simplify 0 into 0
1.962 * [taylor]: Taking taylor expansion of 0 in J
1.962 * [backup-simplify]: Simplify 0 into 0
1.963 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
1.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J))
1.964 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ 1/2 J) (/ (- (* 1/8 J)) J)) (* 0 (/ 0 J)))) into (* 1/16 (/ 1 J))
1.964 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 J)) in J
1.964 * [taylor]: Taking taylor expansion of 1/16 in J
1.964 * [backup-simplify]: Simplify 1/16 into 1/16
1.964 * [taylor]: Taking taylor expansion of (/ 1 J) in J
1.964 * [taylor]: Taking taylor expansion of J in J
1.965 * [backup-simplify]: Simplify 0 into 0
1.965 * [backup-simplify]: Simplify 1 into 1
1.965 * [backup-simplify]: Simplify (/ 1 1) into 1
1.965 * [backup-simplify]: Simplify (* 1/16 1) into 1/16
1.965 * [backup-simplify]: Simplify 1/16 into 1/16
1.965 * [backup-simplify]: Simplify 0 into 0
1.965 * [backup-simplify]: Simplify 0 into 0
1.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.966 * [backup-simplify]: Simplify 0 into 0
1.967 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.968 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.969 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
1.971 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.972 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.972 * [backup-simplify]: Simplify (- 0) into 0
1.973 * [backup-simplify]: Simplify (+ 0 0) into 0
1.973 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
1.974 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0
1.975 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))))) into 0
1.975 * [taylor]: Taking taylor expansion of 0 in K
1.975 * [backup-simplify]: Simplify 0 into 0
1.975 * [taylor]: Taking taylor expansion of 0 in J
1.975 * [backup-simplify]: Simplify 0 into 0
1.975 * [taylor]: Taking taylor expansion of 0 in J
1.976 * [backup-simplify]: Simplify 0 into 0
1.976 * [taylor]: Taking taylor expansion of 0 in J
1.976 * [backup-simplify]: Simplify 0 into 0
1.977 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1.978 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0
1.980 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ 1/2 J) (/ 0 J)) (* 0 (/ (- (* 1/8 J)) J)) (* (* 1/16 (/ 1 J)) (/ 0 J)))) into 0
1.980 * [taylor]: Taking taylor expansion of 0 in J
1.980 * [backup-simplify]: Simplify 0 into 0
1.980 * [backup-simplify]: Simplify 0 into 0
1.980 * [backup-simplify]: Simplify 0 into 0
1.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.981 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 1)) into 0
1.981 * [backup-simplify]: Simplify 0 into 0
1.982 * [backup-simplify]: Simplify (+ (* 1/16 (* (/ 1 J) (* (pow K 2) U))) (* 1/2 (* (/ 1 J) (* 1 U)))) into (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))
1.982 * [backup-simplify]: Simplify (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) into (* 1/2 (/ J (* U (cos (/ 1/2 K)))))
1.982 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in (U K J) around 0
1.982 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J
1.982 * [taylor]: Taking taylor expansion of 1/2 in J
1.982 * [backup-simplify]: Simplify 1/2 into 1/2
1.982 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J
1.982 * [taylor]: Taking taylor expansion of J in J
1.982 * [backup-simplify]: Simplify 0 into 0
1.982 * [backup-simplify]: Simplify 1 into 1
1.982 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J
1.982 * [taylor]: Taking taylor expansion of U in J
1.982 * [backup-simplify]: Simplify U into U
1.982 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
1.982 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
1.982 * [taylor]: Taking taylor expansion of 1/2 in J
1.982 * [backup-simplify]: Simplify 1/2 into 1/2
1.982 * [taylor]: Taking taylor expansion of K in J
1.982 * [backup-simplify]: Simplify K into K
1.982 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.982 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.983 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.983 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.983 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.983 * [backup-simplify]: Simplify (- 0) into 0
1.983 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.983 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K)))
1.983 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K))))
1.983 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K
1.983 * [taylor]: Taking taylor expansion of 1/2 in K
1.983 * [backup-simplify]: Simplify 1/2 into 1/2
1.983 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K
1.983 * [taylor]: Taking taylor expansion of J in K
1.983 * [backup-simplify]: Simplify J into J
1.983 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K
1.983 * [taylor]: Taking taylor expansion of U in K
1.983 * [backup-simplify]: Simplify U into U
1.983 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
1.983 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
1.983 * [taylor]: Taking taylor expansion of 1/2 in K
1.983 * [backup-simplify]: Simplify 1/2 into 1/2
1.983 * [taylor]: Taking taylor expansion of K in K
1.983 * [backup-simplify]: Simplify 0 into 0
1.983 * [backup-simplify]: Simplify 1 into 1
1.984 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.984 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.984 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K)))
1.984 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K))))
1.984 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U
1.984 * [taylor]: Taking taylor expansion of 1/2 in U
1.984 * [backup-simplify]: Simplify 1/2 into 1/2
1.984 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U
1.984 * [taylor]: Taking taylor expansion of J in U
1.984 * [backup-simplify]: Simplify J into J
1.984 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U
1.984 * [taylor]: Taking taylor expansion of U in U
1.984 * [backup-simplify]: Simplify 0 into 0
1.984 * [backup-simplify]: Simplify 1 into 1
1.984 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
1.984 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
1.984 * [taylor]: Taking taylor expansion of 1/2 in U
1.984 * [backup-simplify]: Simplify 1/2 into 1/2
1.984 * [taylor]: Taking taylor expansion of K in U
1.984 * [backup-simplify]: Simplify K into K
1.984 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.984 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.984 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.984 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.984 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.984 * [backup-simplify]: Simplify (- 0) into 0
1.985 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.985 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0
1.985 * [backup-simplify]: Simplify (+ 0) into 0
1.985 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.985 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.986 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.986 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.986 * [backup-simplify]: Simplify (- 0) into 0
1.986 * [backup-simplify]: Simplify (+ 0 0) into 0
1.987 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K))
1.987 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K)))
1.987 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U
1.987 * [taylor]: Taking taylor expansion of 1/2 in U
1.987 * [backup-simplify]: Simplify 1/2 into 1/2
1.987 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U
1.987 * [taylor]: Taking taylor expansion of J in U
1.987 * [backup-simplify]: Simplify J into J
1.987 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U
1.987 * [taylor]: Taking taylor expansion of U in U
1.987 * [backup-simplify]: Simplify 0 into 0
1.987 * [backup-simplify]: Simplify 1 into 1
1.987 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
1.987 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
1.987 * [taylor]: Taking taylor expansion of 1/2 in U
1.987 * [backup-simplify]: Simplify 1/2 into 1/2
1.987 * [taylor]: Taking taylor expansion of K in U
1.987 * [backup-simplify]: Simplify K into K
1.987 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.987 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.987 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.987 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.987 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.987 * [backup-simplify]: Simplify (- 0) into 0
1.988 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.988 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0
1.988 * [backup-simplify]: Simplify (+ 0) into 0
1.988 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.988 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.989 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.989 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.989 * [backup-simplify]: Simplify (- 0) into 0
1.989 * [backup-simplify]: Simplify (+ 0 0) into 0
1.990 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K))
1.990 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K)))
1.990 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
1.990 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K
1.990 * [taylor]: Taking taylor expansion of 1/2 in K
1.990 * [backup-simplify]: Simplify 1/2 into 1/2
1.990 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K
1.990 * [taylor]: Taking taylor expansion of J in K
1.990 * [backup-simplify]: Simplify J into J
1.990 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
1.990 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
1.990 * [taylor]: Taking taylor expansion of 1/2 in K
1.990 * [backup-simplify]: Simplify 1/2 into 1/2
1.990 * [taylor]: Taking taylor expansion of K in K
1.990 * [backup-simplify]: Simplify 0 into 0
1.990 * [backup-simplify]: Simplify 1 into 1
1.990 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.990 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.990 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K)))
1.991 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
1.991 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
1.991 * [taylor]: Taking taylor expansion of 1/2 in J
1.991 * [backup-simplify]: Simplify 1/2 into 1/2
1.991 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
1.991 * [taylor]: Taking taylor expansion of J in J
1.991 * [backup-simplify]: Simplify 0 into 0
1.991 * [backup-simplify]: Simplify 1 into 1
1.991 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
1.991 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
1.991 * [taylor]: Taking taylor expansion of 1/2 in J
1.991 * [backup-simplify]: Simplify 1/2 into 1/2
1.991 * [taylor]: Taking taylor expansion of K in J
1.991 * [backup-simplify]: Simplify K into K
1.991 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.991 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.991 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.991 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.991 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.991 * [backup-simplify]: Simplify (- 0) into 0
1.991 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.991 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
1.991 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
1.991 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
1.992 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.993 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.993 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.993 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.994 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.994 * [backup-simplify]: Simplify (- 0) into 0
1.994 * [backup-simplify]: Simplify (+ 0 0) into 0
1.995 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0
1.995 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
1.995 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0
1.995 * [taylor]: Taking taylor expansion of 0 in K
1.995 * [backup-simplify]: Simplify 0 into 0
1.995 * [taylor]: Taking taylor expansion of 0 in J
1.995 * [backup-simplify]: Simplify 0 into 0
1.996 * [backup-simplify]: Simplify 0 into 0
1.996 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
1.996 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0
1.996 * [taylor]: Taking taylor expansion of 0 in J
1.996 * [backup-simplify]: Simplify 0 into 0
1.996 * [backup-simplify]: Simplify 0 into 0
1.996 * [backup-simplify]: Simplify (+ 0) into 0
1.997 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.997 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.997 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.997 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.998 * [backup-simplify]: Simplify (- 0) into 0
1.998 * [backup-simplify]: Simplify (+ 0 0) into 0
1.998 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
1.998 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
1.998 * [backup-simplify]: Simplify 0 into 0
1.999 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.999 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.000 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.000 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.001 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.001 * [backup-simplify]: Simplify (- 0) into 0
2.001 * [backup-simplify]: Simplify (+ 0 0) into 0
2.002 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
2.003 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
2.004 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0
2.004 * [taylor]: Taking taylor expansion of 0 in K
2.004 * [backup-simplify]: Simplify 0 into 0
2.004 * [taylor]: Taking taylor expansion of 0 in J
2.004 * [backup-simplify]: Simplify 0 into 0
2.004 * [backup-simplify]: Simplify 0 into 0
2.004 * [taylor]: Taking taylor expansion of 0 in J
2.004 * [backup-simplify]: Simplify 0 into 0
2.004 * [backup-simplify]: Simplify 0 into 0
2.004 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
2.005 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0
2.005 * [taylor]: Taking taylor expansion of 0 in J
2.005 * [backup-simplify]: Simplify 0 into 0
2.005 * [backup-simplify]: Simplify 0 into 0
2.005 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
2.006 * [backup-simplify]: Simplify (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))
2.006 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in (U K J) around 0
2.006 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J
2.006 * [taylor]: Taking taylor expansion of 1/2 in J
2.006 * [backup-simplify]: Simplify 1/2 into 1/2
2.006 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J
2.006 * [taylor]: Taking taylor expansion of J in J
2.006 * [backup-simplify]: Simplify 0 into 0
2.006 * [backup-simplify]: Simplify 1 into 1
2.006 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J
2.006 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.006 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.006 * [taylor]: Taking taylor expansion of -1/2 in J
2.006 * [backup-simplify]: Simplify -1/2 into -1/2
2.006 * [taylor]: Taking taylor expansion of K in J
2.006 * [backup-simplify]: Simplify K into K
2.006 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.006 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.006 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.006 * [taylor]: Taking taylor expansion of U in J
2.006 * [backup-simplify]: Simplify U into U
2.006 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.007 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.007 * [backup-simplify]: Simplify (- 0) into 0
2.007 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.007 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U)
2.007 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U))
2.007 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K
2.007 * [taylor]: Taking taylor expansion of 1/2 in K
2.007 * [backup-simplify]: Simplify 1/2 into 1/2
2.007 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K
2.007 * [taylor]: Taking taylor expansion of J in K
2.007 * [backup-simplify]: Simplify J into J
2.007 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K
2.007 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.008 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.008 * [taylor]: Taking taylor expansion of -1/2 in K
2.008 * [backup-simplify]: Simplify -1/2 into -1/2
2.008 * [taylor]: Taking taylor expansion of K in K
2.008 * [backup-simplify]: Simplify 0 into 0
2.008 * [backup-simplify]: Simplify 1 into 1
2.008 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.008 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.008 * [taylor]: Taking taylor expansion of U in K
2.008 * [backup-simplify]: Simplify U into U
2.008 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U)
2.008 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U))
2.008 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U
2.008 * [taylor]: Taking taylor expansion of 1/2 in U
2.009 * [backup-simplify]: Simplify 1/2 into 1/2
2.009 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U
2.009 * [taylor]: Taking taylor expansion of J in U
2.009 * [backup-simplify]: Simplify J into J
2.009 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U
2.009 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.009 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.009 * [taylor]: Taking taylor expansion of -1/2 in U
2.009 * [backup-simplify]: Simplify -1/2 into -1/2
2.009 * [taylor]: Taking taylor expansion of K in U
2.009 * [backup-simplify]: Simplify K into K
2.009 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.009 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.009 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.009 * [taylor]: Taking taylor expansion of U in U
2.009 * [backup-simplify]: Simplify 0 into 0
2.009 * [backup-simplify]: Simplify 1 into 1
2.009 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.009 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.009 * [backup-simplify]: Simplify (- 0) into 0
2.010 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.010 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0
2.010 * [backup-simplify]: Simplify (+ 0) into 0
2.011 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.011 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.012 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.012 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.012 * [backup-simplify]: Simplify (- 0) into 0
2.013 * [backup-simplify]: Simplify (+ 0 0) into 0
2.013 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K))
2.013 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K)))
2.013 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U
2.013 * [taylor]: Taking taylor expansion of 1/2 in U
2.013 * [backup-simplify]: Simplify 1/2 into 1/2
2.013 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U
2.013 * [taylor]: Taking taylor expansion of J in U
2.013 * [backup-simplify]: Simplify J into J
2.013 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U
2.014 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.014 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.014 * [taylor]: Taking taylor expansion of -1/2 in U
2.014 * [backup-simplify]: Simplify -1/2 into -1/2
2.014 * [taylor]: Taking taylor expansion of K in U
2.014 * [backup-simplify]: Simplify K into K
2.014 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.014 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.014 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.014 * [taylor]: Taking taylor expansion of U in U
2.014 * [backup-simplify]: Simplify 0 into 0
2.014 * [backup-simplify]: Simplify 1 into 1
2.014 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.014 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.014 * [backup-simplify]: Simplify (- 0) into 0
2.015 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.015 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0
2.015 * [backup-simplify]: Simplify (+ 0) into 0
2.016 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.016 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.017 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.017 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.017 * [backup-simplify]: Simplify (- 0) into 0
2.018 * [backup-simplify]: Simplify (+ 0 0) into 0
2.018 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K))
2.018 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K)))
2.018 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
2.018 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K
2.019 * [taylor]: Taking taylor expansion of 1/2 in K
2.019 * [backup-simplify]: Simplify 1/2 into 1/2
2.019 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K
2.019 * [taylor]: Taking taylor expansion of J in K
2.019 * [backup-simplify]: Simplify J into J
2.019 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.019 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.019 * [taylor]: Taking taylor expansion of -1/2 in K
2.019 * [backup-simplify]: Simplify -1/2 into -1/2
2.019 * [taylor]: Taking taylor expansion of K in K
2.019 * [backup-simplify]: Simplify 0 into 0
2.019 * [backup-simplify]: Simplify 1 into 1
2.019 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.019 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.019 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K)))
2.020 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
2.020 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
2.020 * [taylor]: Taking taylor expansion of 1/2 in J
2.020 * [backup-simplify]: Simplify 1/2 into 1/2
2.020 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
2.020 * [taylor]: Taking taylor expansion of J in J
2.020 * [backup-simplify]: Simplify 0 into 0
2.020 * [backup-simplify]: Simplify 1 into 1
2.020 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.020 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.020 * [taylor]: Taking taylor expansion of -1/2 in J
2.020 * [backup-simplify]: Simplify -1/2 into -1/2
2.020 * [taylor]: Taking taylor expansion of K in J
2.020 * [backup-simplify]: Simplify K into K
2.020 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.020 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.020 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.020 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.020 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.021 * [backup-simplify]: Simplify (- 0) into 0
2.021 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.021 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
2.021 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
2.021 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
2.022 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.023 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.023 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.024 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.024 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.025 * [backup-simplify]: Simplify (- 0) into 0
2.025 * [backup-simplify]: Simplify (+ 0 0) into 0
2.026 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
2.026 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
2.027 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0
2.027 * [taylor]: Taking taylor expansion of 0 in K
2.027 * [backup-simplify]: Simplify 0 into 0
2.027 * [taylor]: Taking taylor expansion of 0 in J
2.027 * [backup-simplify]: Simplify 0 into 0
2.027 * [backup-simplify]: Simplify 0 into 0
2.027 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
2.028 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0
2.028 * [taylor]: Taking taylor expansion of 0 in J
2.028 * [backup-simplify]: Simplify 0 into 0
2.028 * [backup-simplify]: Simplify 0 into 0
2.028 * [backup-simplify]: Simplify (+ 0) into 0
2.029 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.029 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.029 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.030 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.030 * [backup-simplify]: Simplify (- 0) into 0
2.031 * [backup-simplify]: Simplify (+ 0 0) into 0
2.031 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
2.034 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
2.034 * [backup-simplify]: Simplify 0 into 0
2.035 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.036 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.036 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.038 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.038 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.039 * [backup-simplify]: Simplify (- 0) into 0
2.039 * [backup-simplify]: Simplify (+ 0 0) into 0
2.040 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
2.040 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
2.041 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0
2.041 * [taylor]: Taking taylor expansion of 0 in K
2.041 * [backup-simplify]: Simplify 0 into 0
2.041 * [taylor]: Taking taylor expansion of 0 in J
2.041 * [backup-simplify]: Simplify 0 into 0
2.041 * [backup-simplify]: Simplify 0 into 0
2.041 * [taylor]: Taking taylor expansion of 0 in J
2.042 * [backup-simplify]: Simplify 0 into 0
2.042 * [backup-simplify]: Simplify 0 into 0
2.042 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
2.043 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0
2.043 * [taylor]: Taking taylor expansion of 0 in J
2.043 * [backup-simplify]: Simplify 0 into 0
2.043 * [backup-simplify]: Simplify 0 into 0
2.043 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
2.044 * * * [progress]: simplifying candidates
2.044 * * * * [progress]: [ 1 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (pow (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 1/2) -2) (* (cos (/ K 2)) J)))>
2.044 * * * * [progress]: [ 2 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (pow (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 1) -2) (* (cos (/ K 2)) J)))>
2.044 * * * * [progress]: [ 3 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (exp (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))>
2.044 * [simplify]: Simplifying (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
2.044 * * [simplify]: iters left: 6 (14 enodes)
2.052 * * [simplify]: iters left: 5 (55 enodes)
2.070 * * [simplify]: iters left: 4 (108 enodes)
2.120 * * [simplify]: iters left: 3 (363 enodes)
2.365 * * [simplify]: Extracting #0: cost 1 inf + 0
2.365 * * [simplify]: Extracting #1: cost 3 inf + 0
2.365 * * [simplify]: Extracting #2: cost 5 inf + 0
2.366 * * [simplify]: Extracting #3: cost 8 inf + 0
2.366 * * [simplify]: Extracting #4: cost 123 inf + 1
2.369 * * [simplify]: Extracting #5: cost 234 inf + 254
2.372 * * [simplify]: Extracting #6: cost 198 inf + 3421
2.380 * * [simplify]: Extracting #7: cost 124 inf + 19029
2.395 * * [simplify]: Extracting #8: cost 4 inf + 47590
2.414 * * [simplify]: Extracting #9: cost 0 inf + 48044
2.443 * [simplify]: Simplified to (log (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
2.444 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (exp (log (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) -2) (* (cos (/ K 2)) J)))
2.444 * * * * [progress]: [ 4 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (log (exp (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))>
2.445 * [simplify]: Simplifying (exp (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
2.445 * * [simplify]: iters left: 6 (14 enodes)
2.452 * * [simplify]: iters left: 5 (55 enodes)
2.470 * * [simplify]: iters left: 4 (108 enodes)
2.521 * * [simplify]: iters left: 3 (363 enodes)
2.731 * * [simplify]: Extracting #0: cost 1 inf + 0
2.731 * * [simplify]: Extracting #1: cost 3 inf + 0
2.731 * * [simplify]: Extracting #2: cost 5 inf + 0
2.731 * * [simplify]: Extracting #3: cost 8 inf + 0
2.731 * * [simplify]: Extracting #4: cost 123 inf + 1
2.733 * * [simplify]: Extracting #5: cost 234 inf + 254
2.734 * * [simplify]: Extracting #6: cost 198 inf + 3421
2.738 * * [simplify]: Extracting #7: cost 124 inf + 19029
2.761 * * [simplify]: Extracting #8: cost 4 inf + 47590
2.796 * * [simplify]: Extracting #9: cost 0 inf + 48044
2.825 * [simplify]: Simplified to (exp (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
2.825 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (log (exp (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) -2) (* (cos (/ K 2)) J)))
2.825 * * * * [progress]: [ 5 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))>
2.826 * [simplify]: Simplifying (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
2.826 * * [simplify]: iters left: 6 (15 enodes)
2.834 * * [simplify]: iters left: 5 (58 enodes)
2.853 * * [simplify]: iters left: 4 (111 enodes)
2.903 * * [simplify]: iters left: 3 (365 enodes)
3.103 * * [simplify]: Extracting #0: cost 1 inf + 0
3.103 * * [simplify]: Extracting #1: cost 3 inf + 0
3.103 * * [simplify]: Extracting #2: cost 5 inf + 0
3.103 * * [simplify]: Extracting #3: cost 7 inf + 0
3.103 * * [simplify]: Extracting #4: cost 10 inf + 0
3.103 * * [simplify]: Extracting #5: cost 125 inf + 1
3.104 * * [simplify]: Extracting #6: cost 240 inf + 170
3.106 * * [simplify]: Extracting #7: cost 204 inf + 3339
3.113 * * [simplify]: Extracting #8: cost 123 inf + 20649
3.126 * * [simplify]: Extracting #9: cost 13 inf + 46700
3.140 * * [simplify]: Extracting #10: cost 0 inf + 49568
3.163 * * [simplify]: Extracting #11: cost 0 inf + 49565
3.178 * [simplify]: Simplified to (* (cbrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))
3.178 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (* (cbrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))
3.178 * [simplify]: Simplifying (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
3.178 * * [simplify]: iters left: 6 (14 enodes)
3.182 * * [simplify]: iters left: 5 (55 enodes)
3.196 * * [simplify]: iters left: 4 (108 enodes)
3.226 * * [simplify]: iters left: 3 (363 enodes)
3.412 * * [simplify]: Extracting #0: cost 1 inf + 0
3.412 * * [simplify]: Extracting #1: cost 3 inf + 0
3.412 * * [simplify]: Extracting #2: cost 5 inf + 0
3.413 * * [simplify]: Extracting #3: cost 8 inf + 0
3.413 * * [simplify]: Extracting #4: cost 123 inf + 1
3.414 * * [simplify]: Extracting #5: cost 234 inf + 254
3.416 * * [simplify]: Extracting #6: cost 198 inf + 3421
3.420 * * [simplify]: Extracting #7: cost 124 inf + 19049
3.436 * * [simplify]: Extracting #8: cost 4 inf + 47610
3.466 * * [simplify]: Extracting #9: cost 0 inf + 48064
3.496 * [simplify]: Simplified to (cbrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
3.496 * [simplify]: Simplified (2 1 1 2) to (λ (J K U) (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) -2) (* (cos (/ K 2)) J)))
3.496 * * * * [progress]: [ 6 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))>
3.496 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
3.497 * * [simplify]: iters left: 6 (15 enodes)
3.508 * * [simplify]: iters left: 5 (57 enodes)
3.528 * * [simplify]: iters left: 4 (121 enodes)
3.575 * * [simplify]: iters left: 3 (434 enodes)
3.858 * * [simplify]: Extracting #0: cost 1 inf + 0
3.858 * * [simplify]: Extracting #1: cost 8 inf + 0
3.859 * * [simplify]: Extracting #2: cost 175 inf + 2
3.861 * * [simplify]: Extracting #3: cost 394 inf + 132
3.863 * * [simplify]: Extracting #4: cost 376 inf + 2811
3.869 * * [simplify]: Extracting #5: cost 261 inf + 26437
3.903 * * [simplify]: Extracting #6: cost 94 inf + 79350
3.973 * * [simplify]: Extracting #7: cost 3 inf + 120233
4.045 * * [simplify]: Extracting #8: cost 0 inf + 121307
4.086 * [simplify]: Simplified to (* (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
4.086 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (cbrt (* (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) -2) (* (cos (/ K 2)) J)))
4.086 * * * * [progress]: [ 7 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))>
4.086 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
4.087 * * [simplify]: iters left: 6 (15 enodes)
4.094 * * [simplify]: iters left: 5 (59 enodes)
4.116 * * [simplify]: iters left: 4 (112 enodes)
4.156 * * [simplify]: iters left: 3 (365 enodes)
4.397 * * [simplify]: Extracting #0: cost 1 inf + 0
4.397 * * [simplify]: Extracting #1: cost 4 inf + 0
4.397 * * [simplify]: Extracting #2: cost 7 inf + 0
4.397 * * [simplify]: Extracting #3: cost 10 inf + 0
4.397 * * [simplify]: Extracting #4: cost 121 inf + 1
4.398 * * [simplify]: Extracting #5: cost 240 inf + 89
4.400 * * [simplify]: Extracting #6: cost 208 inf + 2970
4.404 * * [simplify]: Extracting #7: cost 135 inf + 16700
4.424 * * [simplify]: Extracting #8: cost 10 inf + 46860
4.454 * * [simplify]: Extracting #9: cost 0 inf + 48655
4.489 * * [simplify]: Extracting #10: cost 0 inf + 48654
4.507 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
4.507 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))
4.507 * [simplify]: Simplifying (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
4.507 * * [simplify]: iters left: 6 (14 enodes)
4.511 * * [simplify]: iters left: 5 (55 enodes)
4.521 * * [simplify]: iters left: 4 (108 enodes)
4.564 * * [simplify]: iters left: 3 (363 enodes)
4.767 * * [simplify]: Extracting #0: cost 1 inf + 0
4.767 * * [simplify]: Extracting #1: cost 3 inf + 0
4.767 * * [simplify]: Extracting #2: cost 5 inf + 0
4.767 * * [simplify]: Extracting #3: cost 8 inf + 0
4.767 * * [simplify]: Extracting #4: cost 123 inf + 1
4.768 * * [simplify]: Extracting #5: cost 234 inf + 254
4.770 * * [simplify]: Extracting #6: cost 198 inf + 3421
4.775 * * [simplify]: Extracting #7: cost 124 inf + 19089
4.793 * * [simplify]: Extracting #8: cost 4 inf + 47690
4.815 * * [simplify]: Extracting #9: cost 0 inf + 48144
4.830 * [simplify]: Simplified to (sqrt (cbrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
4.830 * [simplify]: Simplified (2 1 1 2) to (λ (J K U) (* (* (* (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (sqrt (cbrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) -2) (* (cos (/ K 2)) J)))
4.830 * * * * [progress]: [ 8 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))>
4.831 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
4.831 * * [simplify]: iters left: 6 (14 enodes)
4.834 * * [simplify]: iters left: 5 (55 enodes)
4.848 * * [simplify]: iters left: 4 (108 enodes)
4.899 * * [simplify]: iters left: 3 (363 enodes)
5.123 * * [simplify]: Extracting #0: cost 1 inf + 0
5.123 * * [simplify]: Extracting #1: cost 3 inf + 0
5.123 * * [simplify]: Extracting #2: cost 5 inf + 0
5.123 * * [simplify]: Extracting #3: cost 8 inf + 0
5.123 * * [simplify]: Extracting #4: cost 123 inf + 1
5.126 * * [simplify]: Extracting #5: cost 234 inf + 254
5.129 * * [simplify]: Extracting #6: cost 198 inf + 3421
5.138 * * [simplify]: Extracting #7: cost 124 inf + 18969
5.158 * * [simplify]: Extracting #8: cost 4 inf + 47530
5.173 * * [simplify]: Extracting #9: cost 0 inf + 47984
5.197 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
5.198 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))
5.198 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
5.198 * * [simplify]: iters left: 6 (14 enodes)
5.206 * * [simplify]: iters left: 5 (55 enodes)
5.217 * * [simplify]: iters left: 4 (108 enodes)
5.244 * * [simplify]: iters left: 3 (363 enodes)
5.497 * * [simplify]: Extracting #0: cost 1 inf + 0
5.498 * * [simplify]: Extracting #1: cost 3 inf + 0
5.498 * * [simplify]: Extracting #2: cost 5 inf + 0
5.498 * * [simplify]: Extracting #3: cost 8 inf + 0
5.498 * * [simplify]: Extracting #4: cost 123 inf + 1
5.499 * * [simplify]: Extracting #5: cost 234 inf + 254
5.501 * * [simplify]: Extracting #6: cost 198 inf + 3421
5.505 * * [simplify]: Extracting #7: cost 124 inf + 18969
5.518 * * [simplify]: Extracting #8: cost 4 inf + 47530
5.543 * * [simplify]: Extracting #9: cost 0 inf + 47984
5.560 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
5.561 * [simplify]: Simplified (2 1 1 2) to (λ (J K U) (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) -2) (* (cos (/ K 2)) J)))
5.561 * * * * [progress]: [ 9 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (sqrt 1) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J)))>
5.561 * [simplify]: Simplifying (sqrt 1)
5.561 * * [simplify]: iters left: 1 (2 enodes)
5.563 * * [simplify]: Extracting #0: cost 1 inf + 0
5.563 * * [simplify]: Extracting #1: cost 0 inf + 1
5.563 * [simplify]: Simplified to 1
5.563 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J)))
5.563 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))
5.564 * * [simplify]: iters left: 6 (13 enodes)
5.567 * * [simplify]: iters left: 5 (52 enodes)
5.576 * * [simplify]: iters left: 4 (105 enodes)
5.620 * * [simplify]: iters left: 3 (359 enodes)
5.841 * * [simplify]: Extracting #0: cost 1 inf + 0
5.841 * * [simplify]: Extracting #1: cost 3 inf + 0
5.841 * * [simplify]: Extracting #2: cost 6 inf + 0
5.841 * * [simplify]: Extracting #3: cost 117 inf + 1
5.843 * * [simplify]: Extracting #4: cost 232 inf + 499
5.847 * * [simplify]: Extracting #5: cost 193 inf + 4157
5.851 * * [simplify]: Extracting #6: cost 119 inf + 19509
5.863 * * [simplify]: Extracting #7: cost 5 inf + 46044
5.878 * * [simplify]: Extracting #8: cost 0 inf + 47122
5.894 * * [simplify]: Extracting #9: cost 0 inf + 47082
5.917 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))
5.917 * [simplify]: Simplified (2 1 1 2) to (λ (J K U) (* (* (* 1 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2) (* (cos (/ K 2)) J)))
5.918 * * * * [progress]: [ 10 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (/ (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (* (cos (/ K 2)) J)))>
5.918 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3)))
5.918 * * [simplify]: iters left: 6 (16 enodes)
5.924 * * [simplify]: iters left: 5 (70 enodes)
5.938 * * [simplify]: iters left: 4 (176 enodes)
6.049 * * [simplify]: Extracting #0: cost 1 inf + 0
6.049 * * [simplify]: Extracting #1: cost 3 inf + 0
6.049 * * [simplify]: Extracting #2: cost 6 inf + 0
6.049 * * [simplify]: Extracting #3: cost 102 inf + 1
6.051 * * [simplify]: Extracting #4: cost 303 inf + 6
6.052 * * [simplify]: Extracting #5: cost 337 inf + 1173
6.056 * * [simplify]: Extracting #6: cost 236 inf + 28191
6.074 * * [simplify]: Extracting #7: cost 35 inf + 97999
6.116 * * [simplify]: Extracting #8: cost 0 inf + 110285
6.147 * [simplify]: Simplified to (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
6.147 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (* (cos (/ K 2)) J)))
6.147 * [simplify]: Simplifying (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
6.147 * * [simplify]: iters left: 6 (17 enodes)
6.152 * * [simplify]: iters left: 5 (66 enodes)
6.168 * * [simplify]: iters left: 4 (168 enodes)
6.292 * * [simplify]: Extracting #0: cost 1 inf + 0
6.292 * * [simplify]: Extracting #1: cost 3 inf + 0
6.292 * * [simplify]: Extracting #2: cost 12 inf + 0
6.293 * * [simplify]: Extracting #3: cost 186 inf + 1
6.295 * * [simplify]: Extracting #4: cost 310 inf + 544
6.298 * * [simplify]: Extracting #5: cost 287 inf + 2359
6.309 * * [simplify]: Extracting #6: cost 218 inf + 18238
6.337 * * [simplify]: Extracting #7: cost 31 inf + 76688
6.375 * * [simplify]: Extracting #8: cost 0 inf + 87566
6.400 * * [simplify]: Extracting #9: cost 0 inf + 87410
6.428 * [simplify]: Simplified to (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
6.428 * [simplify]: Simplified (2 1 1 2) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) -2) (* (cos (/ K 2)) J)))
6.428 * * * * [progress]: [ 11 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (/ (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J)))>
6.429 * [simplify]: Simplifying (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1)))
6.429 * * [simplify]: iters left: 6 (15 enodes)
6.433 * * [simplify]: iters left: 5 (62 enodes)
6.447 * * [simplify]: iters left: 4 (150 enodes)
6.526 * * [simplify]: Extracting #0: cost 1 inf + 0
6.526 * * [simplify]: Extracting #1: cost 3 inf + 0
6.526 * * [simplify]: Extracting #2: cost 9 inf + 0
6.526 * * [simplify]: Extracting #3: cost 105 inf + 2
6.527 * * [simplify]: Extracting #4: cost 284 inf + 48
6.528 * * [simplify]: Extracting #5: cost 276 inf + 2210
6.532 * * [simplify]: Extracting #6: cost 201 inf + 21365
6.546 * * [simplify]: Extracting #7: cost 34 inf + 73136
6.577 * * [simplify]: Extracting #8: cost 0 inf + 84845
6.610 * [simplify]: Simplified to (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))
6.610 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (/ (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J)))
6.611 * [simplify]: Simplifying (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))
6.611 * * [simplify]: iters left: 6 (13 enodes)
6.615 * * [simplify]: iters left: 5 (57 enodes)
6.628 * * [simplify]: iters left: 4 (119 enodes)
6.662 * * [simplify]: iters left: 3 (390 enodes)
6.856 * * [simplify]: Extracting #0: cost 1 inf + 0
6.856 * * [simplify]: Extracting #1: cost 3 inf + 0
6.856 * * [simplify]: Extracting #2: cost 12 inf + 0
6.856 * * [simplify]: Extracting #3: cost 154 inf + 2
6.857 * * [simplify]: Extracting #4: cost 269 inf + 131
6.859 * * [simplify]: Extracting #5: cost 242 inf + 2315
6.864 * * [simplify]: Extracting #6: cost 156 inf + 19810
6.888 * * [simplify]: Extracting #7: cost 13 inf + 55104
6.909 * * [simplify]: Extracting #8: cost 0 inf + 58131
6.926 * * [simplify]: Extracting #9: cost 0 inf + 58091
6.949 * [simplify]: Simplified to (sqrt (+ -1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))
6.949 * [simplify]: Simplified (2 1 1 2) to (λ (J K U) (* (* (/ (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) (sqrt (+ -1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) -2) (* (cos (/ K 2)) J)))
6.949 * * * * [progress]: [ 12 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (pow (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (/ 1 2)) -2) (* (cos (/ K 2)) J)))>
6.950 * [simplify]: Simplifying (/ 1 2)
6.950 * * [simplify]: iters left: 2 (3 enodes)
6.952 * * [simplify]: iters left: 1 (12 enodes)
6.954 * * [simplify]: Extracting #0: cost 1 inf + 0
6.954 * * [simplify]: Extracting #1: cost 0 inf + 1
6.954 * [simplify]: Simplified to 1/2
6.954 * [simplify]: Simplified (2 1 1 2) to (λ (J K U) (* (* (pow (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 1/2) -2) (* (cos (/ K 2)) J)))
6.955 * * * * [progress]: [ 13 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))>
6.955 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
6.955 * * [simplify]: iters left: 6 (14 enodes)
6.959 * * [simplify]: iters left: 5 (55 enodes)
6.968 * * [simplify]: iters left: 4 (108 enodes)
7.006 * * [simplify]: iters left: 3 (363 enodes)
7.222 * * [simplify]: Extracting #0: cost 1 inf + 0
7.222 * * [simplify]: Extracting #1: cost 3 inf + 0
7.222 * * [simplify]: Extracting #2: cost 5 inf + 0
7.222 * * [simplify]: Extracting #3: cost 8 inf + 0
7.223 * * [simplify]: Extracting #4: cost 123 inf + 1
7.224 * * [simplify]: Extracting #5: cost 234 inf + 254
7.225 * * [simplify]: Extracting #6: cost 198 inf + 3421
7.230 * * [simplify]: Extracting #7: cost 124 inf + 18969
7.251 * * [simplify]: Extracting #8: cost 4 inf + 47530
7.281 * * [simplify]: Extracting #9: cost 0 inf + 47984
7.311 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
7.311 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))
7.311 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
7.311 * * [simplify]: iters left: 6 (14 enodes)
7.319 * * [simplify]: iters left: 5 (55 enodes)
7.338 * * [simplify]: iters left: 4 (108 enodes)
7.389 * * [simplify]: iters left: 3 (363 enodes)
7.603 * * [simplify]: Extracting #0: cost 1 inf + 0
7.603 * * [simplify]: Extracting #1: cost 3 inf + 0
7.603 * * [simplify]: Extracting #2: cost 5 inf + 0
7.603 * * [simplify]: Extracting #3: cost 8 inf + 0
7.604 * * [simplify]: Extracting #4: cost 123 inf + 1
7.605 * * [simplify]: Extracting #5: cost 234 inf + 254
7.606 * * [simplify]: Extracting #6: cost 198 inf + 3421
7.610 * * [simplify]: Extracting #7: cost 124 inf + 18969
7.624 * * [simplify]: Extracting #8: cost 4 inf + 47530
7.646 * * [simplify]: Extracting #9: cost 0 inf + 47984
7.662 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
7.662 * [simplify]: Simplified (2 1 1 2) to (λ (J K U) (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) -2) (* (cos (/ K 2)) J)))
7.662 * * * * [progress]: [ 14 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (fabs (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J)))>
7.662 * * * * [progress]: [ 15 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J)))>
7.662 * * * * [progress]: [ 16 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (posit16->real (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))>
7.662 * [simplify]: Simplifying (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
7.662 * * [simplify]: iters left: 6 (14 enodes)
7.666 * * [simplify]: iters left: 5 (52 enodes)
7.678 * * [simplify]: iters left: 4 (105 enodes)
7.713 * * [simplify]: iters left: 3 (360 enodes)
7.944 * * [simplify]: Extracting #0: cost 1 inf + 0
7.945 * * [simplify]: Extracting #1: cost 2 inf + 0
7.945 * * [simplify]: Extracting #2: cost 3 inf + 0
7.945 * * [simplify]: Extracting #3: cost 6 inf + 0
7.945 * * [simplify]: Extracting #4: cost 117 inf + 1
7.946 * * [simplify]: Extracting #5: cost 234 inf + 213
7.948 * * [simplify]: Extracting #6: cost 193 inf + 3749
7.952 * * [simplify]: Extracting #7: cost 120 inf + 18804
7.974 * * [simplify]: Extracting #8: cost 7 inf + 45515
8.003 * * [simplify]: Extracting #9: cost 0 inf + 47116
8.024 * [simplify]: Simplified to (real->posit16 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))
8.024 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (posit16->real (real->posit16 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) -2) (* (cos (/ K 2)) J)))
8.024 * * * * [progress]: [ 17 / 148 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 1))>
8.024 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))
8.024 * * [simplify]: iters left: 6 (16 enodes)
8.029 * * [simplify]: iters left: 5 (67 enodes)
8.049 * * [simplify]: iters left: 4 (143 enodes)
8.091 * * [simplify]: iters left: 3 (434 enodes)
8.374 * * [simplify]: Extracting #0: cost 1 inf + 0
8.374 * * [simplify]: Extracting #1: cost 17 inf + 0
8.374 * * [simplify]: Extracting #2: cost 29 inf + 2
8.374 * * [simplify]: Extracting #3: cost 34 inf + 44
8.375 * * [simplify]: Extracting #4: cost 139 inf + 89
8.383 * * [simplify]: Extracting #5: cost 230 inf + 4355
8.404 * * [simplify]: Extracting #6: cost 41 inf + 43073
8.437 * * [simplify]: Extracting #7: cost 3 inf + 52964
8.457 * * [simplify]: Extracting #8: cost 0 inf + 53957
8.474 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J))
8.474 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 1))
8.474 * * * * [progress]: [ 18 / 148 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 1))>
8.475 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))
8.475 * * [simplify]: iters left: 6 (16 enodes)
8.480 * * [simplify]: iters left: 5 (67 enodes)
8.493 * * [simplify]: iters left: 4 (143 enodes)
8.541 * * [simplify]: iters left: 3 (434 enodes)
8.831 * * [simplify]: Extracting #0: cost 1 inf + 0
8.831 * * [simplify]: Extracting #1: cost 17 inf + 0
8.831 * * [simplify]: Extracting #2: cost 29 inf + 2
8.831 * * [simplify]: Extracting #3: cost 34 inf + 44
8.832 * * [simplify]: Extracting #4: cost 139 inf + 89
8.836 * * [simplify]: Extracting #5: cost 230 inf + 4355
8.856 * * [simplify]: Extracting #6: cost 41 inf + 43073
8.893 * * [simplify]: Extracting #7: cost 3 inf + 52964
8.914 * * [simplify]: Extracting #8: cost 0 inf + 53957
8.935 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J))
8.935 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 1))
8.935 * * * * [progress]: [ 19 / 148 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 1))>
8.935 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))
8.935 * * [simplify]: iters left: 6 (16 enodes)
8.945 * * [simplify]: iters left: 5 (67 enodes)
8.967 * * [simplify]: iters left: 4 (143 enodes)
9.035 * * [simplify]: iters left: 3 (434 enodes)
9.268 * * [simplify]: Extracting #0: cost 1 inf + 0
9.268 * * [simplify]: Extracting #1: cost 17 inf + 0
9.269 * * [simplify]: Extracting #2: cost 29 inf + 2
9.269 * * [simplify]: Extracting #3: cost 34 inf + 44
9.269 * * [simplify]: Extracting #4: cost 139 inf + 89
9.273 * * [simplify]: Extracting #5: cost 230 inf + 4355
9.294 * * [simplify]: Extracting #6: cost 41 inf + 43073
9.329 * * [simplify]: Extracting #7: cost 3 inf + 52964
9.363 * * [simplify]: Extracting #8: cost 0 inf + 53957
9.400 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J))
9.400 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 1))
9.400 * * * * [progress]: [ 20 / 148 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 1))>
9.400 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))
9.400 * * [simplify]: iters left: 6 (16 enodes)
9.405 * * [simplify]: iters left: 5 (67 enodes)
9.417 * * [simplify]: iters left: 4 (143 enodes)
9.470 * * [simplify]: iters left: 3 (434 enodes)
9.719 * * [simplify]: Extracting #0: cost 1 inf + 0
9.719 * * [simplify]: Extracting #1: cost 17 inf + 0
9.719 * * [simplify]: Extracting #2: cost 29 inf + 2
9.719 * * [simplify]: Extracting #3: cost 34 inf + 44
9.720 * * [simplify]: Extracting #4: cost 139 inf + 89
9.721 * * [simplify]: Extracting #5: cost 230 inf + 4355
9.739 * * [simplify]: Extracting #6: cost 41 inf + 43073
9.757 * * [simplify]: Extracting #7: cost 3 inf + 52964
9.781 * * [simplify]: Extracting #8: cost 0 inf + 53957
9.814 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J))
9.815 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 1))
9.815 * * * * [progress]: [ 21 / 148 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 1))>
9.815 * * * * [progress]: [ 22 / 148 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (log (cos (/ K 2))) (log J)))))>
9.815 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (log (cos (/ K 2))) (log J)))
9.815 * * [simplify]: iters left: 6 (21 enodes)
9.826 * * [simplify]: iters left: 5 (83 enodes)
9.842 * * [simplify]: iters left: 4 (159 enodes)
9.891 * * [simplify]: iters left: 3 (450 enodes)
10.157 * * [simplify]: Extracting #0: cost 1 inf + 0
10.157 * * [simplify]: Extracting #1: cost 16 inf + 0
10.158 * * [simplify]: Extracting #2: cost 34 inf + 0
10.158 * * [simplify]: Extracting #3: cost 34 inf + 144
10.158 * * [simplify]: Extracting #4: cost 38 inf + 397
10.159 * * [simplify]: Extracting #5: cost 148 inf + 653
10.163 * * [simplify]: Extracting #6: cost 236 inf + 4691
10.186 * * [simplify]: Extracting #7: cost 67 inf + 40778
10.220 * * [simplify]: Extracting #8: cost 2 inf + 58960
10.255 * * [simplify]: Extracting #9: cost 0 inf + 59799
10.273 * [simplify]: Simplified to (+ (+ (log -2) (log (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (+ (log (cos (/ K 2))) (log J)))
10.273 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log -2) (log (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (+ (log (cos (/ K 2))) (log J)))))
10.273 * * * * [progress]: [ 23 / 148 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (log (* (cos (/ K 2)) J)))))>
10.274 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (log (* (cos (/ K 2)) J)))
10.274 * * [simplify]: iters left: 6 (19 enodes)
10.279 * * [simplify]: iters left: 5 (77 enodes)
10.301 * * [simplify]: iters left: 4 (149 enodes)
10.343 * * [simplify]: iters left: 3 (437 enodes)
10.623 * * [simplify]: Extracting #0: cost 1 inf + 0
10.623 * * [simplify]: Extracting #1: cost 16 inf + 0
10.624 * * [simplify]: Extracting #2: cost 35 inf + 0
10.624 * * [simplify]: Extracting #3: cost 36 inf + 144
10.624 * * [simplify]: Extracting #4: cost 40 inf + 397
10.625 * * [simplify]: Extracting #5: cost 146 inf + 653
10.628 * * [simplify]: Extracting #6: cost 234 inf + 5259
10.650 * * [simplify]: Extracting #7: cost 50 inf + 43882
10.690 * * [simplify]: Extracting #8: cost 2 inf + 58004
10.726 * * [simplify]: Extracting #9: cost 0 inf + 58882
10.761 * [simplify]: Simplified to (+ (log (* (cos (/ K 2)) J)) (+ (log -2) (log (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))
10.761 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* (cos (/ K 2)) J)) (+ (log -2) (log (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))
10.761 * * * * [progress]: [ 24 / 148 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (log (cos (/ K 2))) (log J)))))>
10.762 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (log (cos (/ K 2))) (log J)))
10.762 * * [simplify]: iters left: 6 (20 enodes)
10.773 * * [simplify]: iters left: 5 (81 enodes)
10.799 * * [simplify]: iters left: 4 (153 enodes)
10.867 * * [simplify]: iters left: 3 (441 enodes)
11.141 * * [simplify]: Extracting #0: cost 1 inf + 0
11.141 * * [simplify]: Extracting #1: cost 16 inf + 0
11.142 * * [simplify]: Extracting #2: cost 35 inf + 0
11.142 * * [simplify]: Extracting #3: cost 38 inf + 2
11.142 * * [simplify]: Extracting #4: cost 42 inf + 144
11.142 * * [simplify]: Extracting #5: cost 144 inf + 653
11.144 * * [simplify]: Extracting #6: cost 240 inf + 4284
11.152 * * [simplify]: Extracting #7: cost 76 inf + 37996
11.175 * * [simplify]: Extracting #8: cost 2 inf + 58891
11.215 * * [simplify]: Extracting #9: cost 0 inf + 59449
11.249 * [simplify]: Simplified to (+ (+ (log J) (log (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))))
11.249 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log J) (log (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))))))
11.249 * * * * [progress]: [ 25 / 148 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (log (* (cos (/ K 2)) J)))))>
11.250 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (log (* (cos (/ K 2)) J)))
11.250 * * [simplify]: iters left: 6 (18 enodes)
11.255 * * [simplify]: iters left: 5 (75 enodes)
11.268 * * [simplify]: iters left: 4 (146 enodes)
11.301 * * [simplify]: iters left: 3 (432 enodes)
11.606 * * [simplify]: Extracting #0: cost 1 inf + 0
11.606 * * [simplify]: Extracting #1: cost 16 inf + 0
11.606 * * [simplify]: Extracting #2: cost 36 inf + 0
11.606 * * [simplify]: Extracting #3: cost 38 inf + 144
11.606 * * [simplify]: Extracting #4: cost 40 inf + 650
11.607 * * [simplify]: Extracting #5: cost 149 inf + 653
11.609 * * [simplify]: Extracting #6: cost 225 inf + 7275
11.620 * * [simplify]: Extracting #7: cost 49 inf + 44427
11.647 * * [simplify]: Extracting #8: cost 6 inf + 56342
11.683 * * [simplify]: Extracting #9: cost 0 inf + 59090
11.721 * [simplify]: Simplified to (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (log (* (cos (/ K 2)) J)))
11.721 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (log (* (cos (/ K 2)) J)))))
11.722 * * * * [progress]: [ 26 / 148 ] simplifiying candidate #<alt (λ (J K U) (exp (log (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
11.722 * [simplify]: Simplifying (log (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))
11.722 * * [simplify]: iters left: 6 (17 enodes)
11.731 * * [simplify]: iters left: 5 (73 enodes)
11.757 * * [simplify]: iters left: 4 (166 enodes)
11.828 * * [simplify]: iters left: 3 (488 enodes)
12.111 * * [simplify]: Extracting #0: cost 1 inf + 0
12.111 * * [simplify]: Extracting #1: cost 21 inf + 0
12.111 * * [simplify]: Extracting #2: cost 54 inf + 0
12.111 * * [simplify]: Extracting #3: cost 65 inf + 73
12.111 * * [simplify]: Extracting #4: cost 64 inf + 734
12.112 * * [simplify]: Extracting #5: cost 168 inf + 821
12.114 * * [simplify]: Extracting #6: cost 263 inf + 4308
12.123 * * [simplify]: Extracting #7: cost 91 inf + 40732
12.141 * * [simplify]: Extracting #8: cost 5 inf + 63617
12.162 * * [simplify]: Extracting #9: cost 0 inf + 65842
12.186 * [simplify]: Simplified to (log (* (* -2 (* (cos (/ K 2)) J)) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))
12.186 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (log (* (* -2 (* (cos (/ K 2)) J)) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))
12.187 * * * * [progress]: [ 27 / 148 ] simplifiying candidate #<alt (λ (J K U) (log (exp (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
12.187 * [simplify]: Simplifying (exp (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))
12.187 * * [simplify]: iters left: 6 (17 enodes)
12.192 * * [simplify]: iters left: 5 (72 enodes)
12.216 * * [simplify]: iters left: 4 (162 enodes)
12.287 * * [simplify]: iters left: 3 (497 enodes)
12.585 * * [simplify]: Extracting #0: cost 1 inf + 0
12.585 * * [simplify]: Extracting #1: cost 42 inf + 0
12.586 * * [simplify]: Extracting #2: cost 99 inf + 73
12.587 * * [simplify]: Extracting #3: cost 117 inf + 343
12.588 * * [simplify]: Extracting #4: cost 204 inf + 2824
12.599 * * [simplify]: Extracting #5: cost 232 inf + 25138
12.636 * * [simplify]: Extracting #6: cost 21 inf + 81179
12.668 * * [simplify]: Extracting #7: cost 1 inf + 89168
12.699 * * [simplify]: Extracting #8: cost 0 inf + 89870
12.735 * [simplify]: Simplified to (exp (* (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)))
12.735 * [simplify]: Simplified (2 1) to (λ (J K U) (log (exp (* (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)))))
12.736 * * * * [progress]: [ 28 / 148 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))))>
12.736 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))
12.736 * * [simplify]: iters left: 6 (25 enodes)
12.750 * * [simplify]: iters left: 5 (106 enodes)
12.788 * * [simplify]: iters left: 4 (290 enodes)
12.962 * * [simplify]: Extracting #0: cost 1 inf + 0
12.962 * * [simplify]: Extracting #1: cost 58 inf + 0
12.964 * * [simplify]: Extracting #2: cost 281 inf + 4
12.967 * * [simplify]: Extracting #3: cost 379 inf + 334
12.976 * * [simplify]: Extracting #4: cost 331 inf + 25020
13.021 * * [simplify]: Extracting #5: cost 103 inf + 101560
13.093 * * [simplify]: Extracting #6: cost 3 inf + 146764
13.169 * * [simplify]: Extracting #7: cost 0 inf + 148362
13.247 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) (* (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* -8 (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))
13.247 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) (* (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* -8 (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))))
13.247 * * * * [progress]: [ 29 / 148 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))))>
13.248 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))
13.248 * * [simplify]: iters left: 6 (22 enodes)
13.254 * * [simplify]: iters left: 5 (100 enodes)
13.276 * * [simplify]: iters left: 4 (294 enodes)
13.516 * * [simplify]: Extracting #0: cost 1 inf + 0
13.516 * * [simplify]: Extracting #1: cost 60 inf + 0
13.517 * * [simplify]: Extracting #2: cost 292 inf + 45
13.518 * * [simplify]: Extracting #3: cost 383 inf + 838
13.523 * * [simplify]: Extracting #4: cost 328 inf + 25335
13.542 * * [simplify]: Extracting #5: cost 115 inf + 96572
13.615 * * [simplify]: Extracting #6: cost 5 inf + 146577
13.670 * * [simplify]: Extracting #7: cost 0 inf + 149027
13.751 * [simplify]: Simplified to (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* -8 (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))
13.751 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* -8 (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))))
13.751 * * * * [progress]: [ 30 / 148 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))))>
13.751 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))
13.752 * * [simplify]: iters left: 6 (23 enodes)
13.762 * * [simplify]: iters left: 5 (106 enodes)
13.782 * * [simplify]: iters left: 4 (272 enodes)
13.951 * * [simplify]: Extracting #0: cost 1 inf + 0
13.951 * * [simplify]: Extracting #1: cost 72 inf + 0
13.956 * * [simplify]: Extracting #2: cost 254 inf + 3
13.957 * * [simplify]: Extracting #3: cost 306 inf + 170
13.963 * * [simplify]: Extracting #4: cost 274 inf + 25629
13.997 * * [simplify]: Extracting #5: cost 74 inf + 101767
14.069 * * [simplify]: Extracting #6: cost 0 inf + 131947
14.117 * * [simplify]: Extracting #7: cost 0 inf + 131374
14.167 * * [simplify]: Extracting #8: cost 0 inf + 131334
14.215 * [simplify]: Simplified to (* (* (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* -8 (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))
14.215 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* -8 (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))))
14.215 * * * * [progress]: [ 31 / 148 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))))>
14.216 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))
14.216 * * [simplify]: iters left: 6 (20 enodes)
14.224 * * [simplify]: iters left: 5 (100 enodes)
14.246 * * [simplify]: iters left: 4 (276 enodes)
14.382 * * [simplify]: Extracting #0: cost 1 inf + 0
14.382 * * [simplify]: Extracting #1: cost 77 inf + 0
14.383 * * [simplify]: Extracting #2: cost 260 inf + 44
14.384 * * [simplify]: Extracting #3: cost 306 inf + 416
14.387 * * [simplify]: Extracting #4: cost 307 inf + 11333
14.403 * * [simplify]: Extracting #5: cost 175 inf + 46659
14.433 * * [simplify]: Extracting #6: cost 78 inf + 90396
14.481 * * [simplify]: Extracting #7: cost 2 inf + 128139
14.532 * * [simplify]: Extracting #8: cost 0 inf + 129231
14.596 * [simplify]: Simplified to (* (* (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
14.596 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))
14.596 * * * * [progress]: [ 32 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
14.596 * [simplify]: Simplifying (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))
14.597 * * [simplify]: iters left: 6 (18 enodes)
14.601 * * [simplify]: iters left: 5 (73 enodes)
14.614 * * [simplify]: iters left: 4 (149 enodes)
14.674 * * [simplify]: iters left: 3 (438 enodes)
14.927 * * [simplify]: Extracting #0: cost 1 inf + 0
14.927 * * [simplify]: Extracting #1: cost 3 inf + 0
14.927 * * [simplify]: Extracting #2: cost 5 inf + 0
14.927 * * [simplify]: Extracting #3: cost 20 inf + 0
14.927 * * [simplify]: Extracting #4: cost 31 inf + 44
14.928 * * [simplify]: Extracting #5: cost 36 inf + 86
14.928 * * [simplify]: Extracting #6: cost 146 inf + 89
14.930 * * [simplify]: Extracting #7: cost 230 inf + 4253
14.939 * * [simplify]: Extracting #8: cost 62 inf + 39791
14.958 * * [simplify]: Extracting #9: cost 2 inf + 55330
14.990 * * [simplify]: Extracting #10: cost 0 inf + 56019
15.008 * * [simplify]: Extracting #11: cost 0 inf + 55979
15.046 * [simplify]: Simplified to (* (cbrt (* (* (* J -2) (sqrt (+ 1 (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))))) (cos (/ K 2)))) (cbrt (* (* (* J -2) (sqrt (+ 1 (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))))) (cos (/ K 2)))))
15.046 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (cbrt (* (* (* J -2) (sqrt (+ 1 (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))))) (cos (/ K 2)))) (cbrt (* (* (* J -2) (sqrt (+ 1 (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))))) (cos (/ K 2))))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
15.047 * [simplify]: Simplifying (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))
15.047 * * [simplify]: iters left: 6 (17 enodes)
15.056 * * [simplify]: iters left: 5 (70 enodes)
15.080 * * [simplify]: iters left: 4 (146 enodes)
15.127 * * [simplify]: iters left: 3 (437 enodes)
15.401 * * [simplify]: Extracting #0: cost 1 inf + 0
15.401 * * [simplify]: Extracting #1: cost 3 inf + 0
15.401 * * [simplify]: Extracting #2: cost 18 inf + 0
15.402 * * [simplify]: Extracting #3: cost 30 inf + 2
15.402 * * [simplify]: Extracting #4: cost 34 inf + 86
15.403 * * [simplify]: Extracting #5: cost 142 inf + 89
15.406 * * [simplify]: Extracting #6: cost 236 inf + 3944
15.423 * * [simplify]: Extracting #7: cost 65 inf + 39597
15.455 * * [simplify]: Extracting #8: cost 1 inf + 54890
15.484 * * [simplify]: Extracting #9: cost 0 inf + 55110
15.501 * * [simplify]: Extracting #10: cost 0 inf + 55109
15.528 * [simplify]: Simplified to (cbrt (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) (* J -2))))
15.528 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) (* J -2))))))
15.528 * * * * [progress]: [ 33 / 148 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
15.529 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))
15.529 * * [simplify]: iters left: 6 (18 enodes)
15.534 * * [simplify]: iters left: 5 (83 enodes)
15.560 * * [simplify]: iters left: 4 (271 enodes)
15.745 * * [simplify]: Extracting #0: cost 1 inf + 0
15.745 * * [simplify]: Extracting #1: cost 63 inf + 0
15.745 * * [simplify]: Extracting #2: cost 238 inf + 216
15.747 * * [simplify]: Extracting #3: cost 260 inf + 342
15.749 * * [simplify]: Extracting #4: cost 295 inf + 2167
15.762 * * [simplify]: Extracting #5: cost 269 inf + 27120
15.793 * * [simplify]: Extracting #6: cost 50 inf + 117838
15.860 * * [simplify]: Extracting #7: cost 0 inf + 138546
15.925 * * [simplify]: Extracting #8: cost 0 inf + 138304
15.990 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (cos (/ K 2)) (* J -2)) (* (* (cos (/ K 2)) (* J -2)) (sqrt (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))
15.990 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (sqrt (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (cos (/ K 2)) (* J -2)) (* (* (cos (/ K 2)) (* J -2)) (sqrt (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))))
15.990 * * * * [progress]: [ 34 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (sqrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
15.991 * [simplify]: Simplifying (sqrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))
15.991 * * [simplify]: iters left: 6 (17 enodes)
16.001 * * [simplify]: iters left: 5 (70 enodes)
16.016 * * [simplify]: iters left: 4 (146 enodes)
16.055 * * [simplify]: iters left: 3 (437 enodes)
16.376 * * [simplify]: Extracting #0: cost 1 inf + 0
16.376 * * [simplify]: Extracting #1: cost 3 inf + 0
16.376 * * [simplify]: Extracting #2: cost 18 inf + 0
16.376 * * [simplify]: Extracting #3: cost 30 inf + 2
16.377 * * [simplify]: Extracting #4: cost 34 inf + 86
16.377 * * [simplify]: Extracting #5: cost 142 inf + 89
16.379 * * [simplify]: Extracting #6: cost 236 inf + 3944
16.390 * * [simplify]: Extracting #7: cost 65 inf + 39517
16.409 * * [simplify]: Extracting #8: cost 1 inf + 54810
16.435 * * [simplify]: Extracting #9: cost 0 inf + 55030
16.452 * * [simplify]: Extracting #10: cost 0 inf + 55029
16.475 * [simplify]: Simplified to (sqrt (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) (* J -2))))
16.475 * [simplify]: Simplified (2 1) to (λ (J K U) (* (sqrt (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) (* J -2)))) (sqrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
16.476 * [simplify]: Simplifying (sqrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))
16.476 * * [simplify]: iters left: 6 (17 enodes)
16.486 * * [simplify]: iters left: 5 (70 enodes)
16.510 * * [simplify]: iters left: 4 (146 enodes)
16.556 * * [simplify]: iters left: 3 (437 enodes)
16.836 * * [simplify]: Extracting #0: cost 1 inf + 0
16.836 * * [simplify]: Extracting #1: cost 3 inf + 0
16.836 * * [simplify]: Extracting #2: cost 18 inf + 0
16.837 * * [simplify]: Extracting #3: cost 30 inf + 2
16.837 * * [simplify]: Extracting #4: cost 34 inf + 86
16.838 * * [simplify]: Extracting #5: cost 142 inf + 89
16.841 * * [simplify]: Extracting #6: cost 236 inf + 3944
16.863 * * [simplify]: Extracting #7: cost 65 inf + 39517
16.896 * * [simplify]: Extracting #8: cost 1 inf + 54810
16.928 * * [simplify]: Extracting #9: cost 0 inf + 55030
16.946 * * [simplify]: Extracting #10: cost 0 inf + 55029
16.963 * [simplify]: Simplified to (sqrt (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) (* J -2))))
16.963 * [simplify]: Simplified (2 2) to (λ (J K U) (* (sqrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (sqrt (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) (* J -2))))))
16.963 * * * * [progress]: [ 35 / 148 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))>
16.963 * * * * [progress]: [ 36 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))>
16.964 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))
16.964 * * [simplify]: iters left: 6 (16 enodes)
16.970 * * [simplify]: iters left: 5 (65 enodes)
16.981 * * [simplify]: iters left: 4 (126 enodes)
17.022 * * [simplify]: iters left: 3 (384 enodes)
17.273 * * [simplify]: Extracting #0: cost 1 inf + 0
17.273 * * [simplify]: Extracting #1: cost 8 inf + 0
17.273 * * [simplify]: Extracting #2: cost 14 inf + 1
17.273 * * [simplify]: Extracting #3: cost 20 inf + 1
17.273 * * [simplify]: Extracting #4: cost 126 inf + 88
17.275 * * [simplify]: Extracting #5: cost 229 inf + 3104
17.290 * * [simplify]: Extracting #6: cost 84 inf + 31445
17.309 * * [simplify]: Extracting #7: cost 0 inf + 49731
17.327 * * [simplify]: Extracting #8: cost 0 inf + 49683
17.352 * [simplify]: Simplified to (* (* (cos (/ K 2)) -2) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))
17.352 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (* (cos (/ K 2)) -2) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) J))
17.352 * * * * [progress]: [ 37 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* -2 (* (cos (/ K 2)) J))))>
17.353 * [simplify]: Simplifying (* -2 (* (cos (/ K 2)) J))
17.353 * * [simplify]: iters left: 6 (8 enodes)
17.357 * * [simplify]: iters left: 5 (28 enodes)
17.366 * * [simplify]: iters left: 4 (36 enodes)
17.377 * * [simplify]: iters left: 3 (42 enodes)
17.386 * * [simplify]: Extracting #0: cost 1 inf + 0
17.386 * * [simplify]: Extracting #1: cost 8 inf + 0
17.386 * * [simplify]: Extracting #2: cost 11 inf + 2
17.386 * * [simplify]: Extracting #3: cost 13 inf + 44
17.386 * * [simplify]: Extracting #4: cost 9 inf + 130
17.386 * * [simplify]: Extracting #5: cost 2 inf + 989
17.387 * * [simplify]: Extracting #6: cost 0 inf + 1316
17.387 * [simplify]: Simplified to (* (* J -2) (cos (/ K 2)))
17.387 * [simplify]: Simplified (2 2) to (λ (J K U) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* J -2) (cos (/ K 2)))))
17.387 * * * * [progress]: [ 38 / 148 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) -2) (* (cos (/ K 2)) J)) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
17.387 * [simplify]: Simplifying (* (* (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) -2) (* (cos (/ K 2)) J))
17.387 * * [simplify]: iters left: 6 (19 enodes)
17.394 * * [simplify]: iters left: 5 (85 enodes)
17.412 * * [simplify]: iters left: 4 (216 enodes)
17.539 * * [simplify]: Extracting #0: cost 1 inf + 0
17.539 * * [simplify]: Extracting #1: cost 16 inf + 0
17.539 * * [simplify]: Extracting #2: cost 27 inf + 44
17.540 * * [simplify]: Extracting #3: cost 32 inf + 86
17.540 * * [simplify]: Extracting #4: cost 123 inf + 89
17.541 * * [simplify]: Extracting #5: cost 325 inf + 858
17.546 * * [simplify]: Extracting #6: cost 263 inf + 30578
17.562 * * [simplify]: Extracting #7: cost 82 inf + 91983
17.592 * * [simplify]: Extracting #8: cost 0 inf + 122424
17.637 * * [simplify]: Extracting #9: cost 0 inf + 122082
17.674 * [simplify]: Simplified to (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2)
17.674 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
17.675 * * * * [progress]: [ 39 / 148 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) -2) (* (cos (/ K 2)) J)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))>
17.675 * [simplify]: Simplifying (* (* (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) -2) (* (cos (/ K 2)) J))
17.675 * * [simplify]: iters left: 6 (18 enodes)
17.685 * * [simplify]: iters left: 5 (77 enodes)
17.707 * * [simplify]: iters left: 4 (190 enodes)
17.821 * * [simplify]: Extracting #0: cost 1 inf + 0
17.821 * * [simplify]: Extracting #1: cost 16 inf + 0
17.821 * * [simplify]: Extracting #2: cost 28 inf + 2
17.821 * * [simplify]: Extracting #3: cost 35 inf + 86
17.821 * * [simplify]: Extracting #4: cost 122 inf + 90
17.822 * * [simplify]: Extracting #5: cost 294 inf + 1888
17.834 * * [simplify]: Extracting #6: cost 138 inf + 50267
17.871 * * [simplify]: Extracting #7: cost 3 inf + 92862
17.896 * * [simplify]: Extracting #8: cost 0 inf + 94187
17.923 * [simplify]: Simplified to (* (* -2 (* (cos (/ K 2)) J)) (sqrt (+ -1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))
17.923 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* -2 (* (cos (/ K 2)) J)) (sqrt (+ -1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
17.923 * * * * [progress]: [ 40 / 148 ] simplifiying candidate #<alt (λ (J K U) (posit16->real (real->posit16 (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
17.924 * [simplify]: Simplifying (real->posit16 (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))
17.924 * * [simplify]: iters left: 6 (17 enodes)
17.933 * * [simplify]: iters left: 5 (67 enodes)
17.956 * * [simplify]: iters left: 4 (143 enodes)
18.015 * * [simplify]: iters left: 3 (435 enodes)
18.229 * * [simplify]: Extracting #0: cost 1 inf + 0
18.229 * * [simplify]: Extracting #1: cost 2 inf + 0
18.229 * * [simplify]: Extracting #2: cost 17 inf + 0
18.229 * * [simplify]: Extracting #3: cost 29 inf + 2
18.229 * * [simplify]: Extracting #4: cost 34 inf + 44
18.229 * * [simplify]: Extracting #5: cost 139 inf + 89
18.231 * * [simplify]: Extracting #6: cost 242 inf + 2359
18.239 * * [simplify]: Extracting #7: cost 80 inf + 35518
18.266 * * [simplify]: Extracting #8: cost 1 inf + 53859
18.300 * * [simplify]: Extracting #9: cost 0 inf + 53879
18.334 * [simplify]: Simplified to (real->posit16 (* (* -2 (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (cos (/ K 2)) J)))
18.334 * [simplify]: Simplified (2 1) to (λ (J K U) (posit16->real (real->posit16 (* (* -2 (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (cos (/ K 2)) J)))))
18.334 * * * * [progress]: [ 41 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (cos (/ K 2)) J) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)))>
18.334 * * * * [progress]: [ 42 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (pow (/ U (* 2 (* (cos (/ K 2)) J))) (+ 1 1)) 1)) -2) (* (cos (/ K 2)) J)))>
18.334 * [simplify]: Simplifying (+ 1 1)
18.335 * * [simplify]: iters left: 2 (2 enodes)
18.337 * * [simplify]: iters left: 1 (9 enodes)
18.340 * * [simplify]: Extracting #0: cost 1 inf + 0
18.340 * * [simplify]: Extracting #1: cost 0 inf + 1
18.341 * [simplify]: Simplified to 2
18.341 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (pow (/ U (* 2 (* (cos (/ K 2)) J))) 2) 1)) -2) (* (cos (/ K 2)) J)))
18.341 * * * * [progress]: [ 43 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 1)) -2) (* (cos (/ K 2)) J)))>
18.341 * [simplify]: Simplifying (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))
18.341 * * [simplify]: iters left: 6 (10 enodes)
18.346 * * [simplify]: iters left: 5 (40 enodes)
18.354 * * [simplify]: iters left: 4 (91 enodes)
18.377 * * [simplify]: iters left: 3 (345 enodes)
18.559 * * [simplify]: Extracting #0: cost 1 inf + 0
18.559 * * [simplify]: Extracting #1: cost 118 inf + 0
18.562 * * [simplify]: Extracting #2: cost 234 inf + 87
18.565 * * [simplify]: Extracting #3: cost 205 inf + 2556
18.574 * * [simplify]: Extracting #4: cost 114 inf + 20071
18.605 * * [simplify]: Extracting #5: cost 3 inf + 46017
18.633 * * [simplify]: Extracting #6: cost 0 inf + 46605
18.662 * * [simplify]: Extracting #7: cost 0 inf + 46604
18.691 * [simplify]: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))
18.691 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (pow (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1) 1)) -2) (* (cos (/ K 2)) J)))
18.691 * * * * [progress]: [ 44 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (pow (/ U (* 2 (* (cos (/ K 2)) J))) 2) 1)) -2) (* (cos (/ K 2)) J)))>
18.691 * * * * [progress]: [ 45 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (pow (/ U (* 2 (* (cos (/ K 2)) J))) (+ 1 1)) 1)) -2) (* (cos (/ K 2)) J)))>
18.691 * [simplify]: Simplifying (+ 1 1)
18.692 * * [simplify]: iters left: 2 (2 enodes)
18.694 * * [simplify]: iters left: 1 (9 enodes)
18.697 * * [simplify]: Extracting #0: cost 1 inf + 0
18.697 * * [simplify]: Extracting #1: cost 0 inf + 1
18.697 * [simplify]: Simplified to 2
18.698 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (pow (/ U (* 2 (* (cos (/ K 2)) J))) 2) 1)) -2) (* (cos (/ K 2)) J)))
18.698 * * * * [progress]: [ 46 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 1)) -2) (* (cos (/ K 2)) J)))>
18.698 * * * * [progress]: [ 47 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
18.698 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))))
18.698 * * [simplify]: iters left: 6 (14 enodes)
18.706 * * [simplify]: iters left: 5 (54 enodes)
18.724 * * [simplify]: iters left: 4 (119 enodes)
18.784 * * [simplify]: iters left: 3 (459 enodes)
19.324 * * [simplify]: Extracting #0: cost 1 inf + 0
19.325 * * [simplify]: Extracting #1: cost 86 inf + 0
19.326 * * [simplify]: Extracting #2: cost 446 inf + 0
19.329 * * [simplify]: Extracting #3: cost 430 inf + 5708
19.333 * * [simplify]: Extracting #4: cost 354 inf + 26550
19.352 * * [simplify]: Extracting #5: cost 193 inf + 95437
19.430 * * [simplify]: Extracting #6: cost 5 inf + 186101
19.479 * * [simplify]: Extracting #7: cost 0 inf + 188529
19.539 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))))
19.539 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J)))
19.539 * * * * [progress]: [ 48 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
19.540 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))))
19.540 * * [simplify]: iters left: 6 (18 enodes)
19.549 * * [simplify]: iters left: 5 (62 enodes)
19.568 * * [simplify]: iters left: 4 (133 enodes)
19.630 * * [simplify]: iters left: 3 (484 enodes)
20.064 * * [simplify]: Extracting #0: cost 1 inf + 0
20.064 * * [simplify]: Extracting #1: cost 85 inf + 0
20.066 * * [simplify]: Extracting #2: cost 457 inf + 0
20.069 * * [simplify]: Extracting #3: cost 455 inf + 2467
20.072 * * [simplify]: Extracting #4: cost 408 inf + 13807
20.076 * * [simplify]: Extracting #5: cost 354 inf + 29122
20.095 * * [simplify]: Extracting #6: cost 269 inf + 65496
20.140 * * [simplify]: Extracting #7: cost 84 inf + 148602
20.192 * * [simplify]: Extracting #8: cost 2 inf + 186444
20.237 * * [simplify]: Extracting #9: cost 0 inf + 187311
20.288 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J))) (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J))))
20.288 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J))) (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J)))
20.288 * * * * [progress]: [ 49 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
20.288 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J)))))
20.288 * * [simplify]: iters left: 6 (18 enodes)
20.293 * * [simplify]: iters left: 5 (75 enodes)
20.308 * * [simplify]: iters left: 4 (150 enodes)
20.343 * * [simplify]: iters left: 3 (443 enodes)
20.716 * * [simplify]: Extracting #0: cost 1 inf + 0
20.716 * * [simplify]: Extracting #1: cost 90 inf + 0
20.718 * * [simplify]: Extracting #2: cost 401 inf + 0
20.721 * * [simplify]: Extracting #3: cost 364 inf + 11578
20.729 * * [simplify]: Extracting #4: cost 309 inf + 26232
20.737 * * [simplify]: Extracting #5: cost 307 inf + 25425
20.755 * * [simplify]: Extracting #6: cost 160 inf + 88694
20.787 * * [simplify]: Extracting #7: cost 3 inf + 159280
20.822 * * [simplify]: Extracting #8: cost 0 inf + 153862
20.856 * * [simplify]: Extracting #9: cost 0 inf + 153012
20.893 * [simplify]: Simplified to (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J)))))
20.894 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))
20.894 * * * * [progress]: [ 50 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (log (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
20.894 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (log (/ U (* 2 (* (cos (/ K 2)) J)))))
20.895 * * [simplify]: iters left: 6 (18 enodes)
20.900 * * [simplify]: iters left: 5 (73 enodes)
20.923 * * [simplify]: iters left: 4 (158 enodes)
20.984 * * [simplify]: iters left: 3 (385 enodes)
21.160 * * [simplify]: Extracting #0: cost 1 inf + 0
21.160 * * [simplify]: Extracting #1: cost 72 inf + 0
21.161 * * [simplify]: Extracting #2: cost 287 inf + 0
21.163 * * [simplify]: Extracting #3: cost 310 inf + 2014
21.165 * * [simplify]: Extracting #4: cost 265 inf + 11996
21.167 * * [simplify]: Extracting #5: cost 251 inf + 13760
21.173 * * [simplify]: Extracting #6: cost 188 inf + 37498
21.195 * * [simplify]: Extracting #7: cost 26 inf + 108650
21.217 * * [simplify]: Extracting #8: cost 0 inf + 114298
21.254 * * [simplify]: Extracting #9: cost 0 inf + 112288
21.283 * * [simplify]: Extracting #10: cost 0 inf + 112208
21.316 * [simplify]: Simplified to (+ (log (/ (/ (/ U J) 2) (cos (/ K 2)))) (log (/ (/ (/ U J) 2) (cos (/ K 2)))))
21.316 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ (/ U J) 2) (cos (/ K 2)))) (log (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1)) -2) (* (cos (/ K 2)) J)))
21.316 * * * * [progress]: [ 51 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
21.317 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))))
21.317 * * [simplify]: iters left: 6 (18 enodes)
21.326 * * [simplify]: iters left: 5 (63 enodes)
21.345 * * [simplify]: iters left: 4 (128 enodes)
21.407 * * [simplify]: iters left: 3 (469 enodes)
21.872 * * [simplify]: Extracting #0: cost 1 inf + 0
21.872 * * [simplify]: Extracting #1: cost 87 inf + 0
21.875 * * [simplify]: Extracting #2: cost 460 inf + 0
21.881 * * [simplify]: Extracting #3: cost 436 inf + 8665
21.888 * * [simplify]: Extracting #4: cost 362 inf + 28606
21.901 * * [simplify]: Extracting #5: cost 236 inf + 81043
21.960 * * [simplify]: Extracting #6: cost 17 inf + 182066
22.008 * * [simplify]: Extracting #7: cost 0 inf + 190050
22.058 * [simplify]: Simplified to (+ (- (- (log U) (log (* J (cos (/ K 2))))) (log 2)) (- (- (log U) (log (* J (cos (/ K 2))))) (log 2)))
22.058 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (- (log U) (log (* J (cos (/ K 2))))) (log 2)) (- (- (log U) (log (* J (cos (/ K 2))))) (log 2)))) 1)) -2) (* (cos (/ K 2)) J)))
22.058 * * * * [progress]: [ 52 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
22.058 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))))
22.058 * * [simplify]: iters left: 6 (13 enodes)
22.062 * * [simplify]: iters left: 5 (52 enodes)
22.071 * * [simplify]: iters left: 4 (107 enodes)
22.103 * * [simplify]: iters left: 3 (365 enodes)
22.385 * * [simplify]: Extracting #0: cost 1 inf + 0
22.385 * * [simplify]: Extracting #1: cost 75 inf + 0
22.387 * * [simplify]: Extracting #2: cost 370 inf + 0
22.389 * * [simplify]: Extracting #3: cost 349 inf + 6103
22.395 * * [simplify]: Extracting #4: cost 283 inf + 23904
22.414 * * [simplify]: Extracting #5: cost 179 inf + 65722
22.443 * * [simplify]: Extracting #6: cost 2 inf + 145919
22.481 * * [simplify]: Extracting #7: cost 0 inf + 146536
22.526 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))) (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))))
22.526 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))) (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J)))
22.527 * * * * [progress]: [ 53 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
22.527 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J)))))
22.527 * * [simplify]: iters left: 6 (16 enodes)
22.531 * * [simplify]: iters left: 5 (63 enodes)
22.545 * * [simplify]: iters left: 4 (136 enodes)
22.604 * * [simplify]: iters left: 3 (413 enodes)
22.908 * * [simplify]: Extracting #0: cost 1 inf + 0
22.908 * * [simplify]: Extracting #1: cost 74 inf + 0
22.911 * * [simplify]: Extracting #2: cost 375 inf + 0
22.915 * * [simplify]: Extracting #3: cost 351 inf + 7935
22.923 * * [simplify]: Extracting #4: cost 297 inf + 21977
22.945 * * [simplify]: Extracting #5: cost 170 inf + 69337
22.973 * * [simplify]: Extracting #6: cost 15 inf + 136385
23.029 * * [simplify]: Extracting #7: cost 0 inf + 141836
23.068 * * [simplify]: Extracting #8: cost 0 inf + 141796
23.101 * [simplify]: Simplified to (+ (- (log U) (log (* (cos (/ K 2)) (* J 2)))) (- (log U) (log (* (cos (/ K 2)) (* J 2)))))
23.101 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* (cos (/ K 2)) (* J 2)))) (- (log U) (log (* (cos (/ K 2)) (* J 2)))))) 1)) -2) (* (cos (/ K 2)) J)))
23.102 * * * * [progress]: [ 54 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
23.102 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J)))))
23.102 * * [simplify]: iters left: 6 (16 enodes)
23.110 * * [simplify]: iters left: 5 (67 enodes)
23.133 * * [simplify]: iters left: 4 (136 enodes)
23.166 * * [simplify]: iters left: 3 (364 enodes)
23.388 * * [simplify]: Extracting #0: cost 1 inf + 0
23.388 * * [simplify]: Extracting #1: cost 62 inf + 0
23.389 * * [simplify]: Extracting #2: cost 323 inf + 0
23.391 * * [simplify]: Extracting #3: cost 343 inf + 4416
23.393 * * [simplify]: Extracting #4: cost 299 inf + 15509
23.401 * * [simplify]: Extracting #5: cost 175 inf + 61215
23.431 * * [simplify]: Extracting #6: cost 12 inf + 124886
23.472 * * [simplify]: Extracting #7: cost 0 inf + 123388
23.521 * * [simplify]: Extracting #8: cost 0 inf + 123188
23.564 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* J (cos (/ K 2))))) (log (/ (/ U 2) (* J (cos (/ K 2))))))
23.564 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* J (cos (/ K 2))))) (log (/ (/ U 2) (* J (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J)))
23.564 * * * * [progress]: [ 55 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
23.564 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))))
23.564 * * [simplify]: iters left: 6 (18 enodes)
23.569 * * [simplify]: iters left: 5 (75 enodes)
23.583 * * [simplify]: iters left: 4 (153 enodes)
23.638 * * [simplify]: iters left: 3 (467 enodes)
24.445 * * [simplify]: Extracting #0: cost 1 inf + 0
24.446 * * [simplify]: Extracting #1: cost 88 inf + 0
24.448 * * [simplify]: Extracting #2: cost 434 inf + 0
24.454 * * [simplify]: Extracting #3: cost 395 inf + 11387
24.462 * * [simplify]: Extracting #4: cost 339 inf + 25691
24.479 * * [simplify]: Extracting #5: cost 187 inf + 84608
24.529 * * [simplify]: Extracting #6: cost 8 inf + 162023
24.575 * * [simplify]: Extracting #7: cost 0 inf + 162547
24.622 * * [simplify]: Extracting #8: cost 0 inf + 161917
24.664 * * [simplify]: Extracting #9: cost 0 inf + 161877
24.730 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))
24.730 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J)))
24.730 * * * * [progress]: [ 56 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
24.730 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))))
24.730 * * [simplify]: iters left: 6 (16 enodes)
24.739 * * [simplify]: iters left: 5 (63 enodes)
24.760 * * [simplify]: iters left: 4 (131 enodes)
24.814 * * [simplify]: iters left: 3 (399 enodes)
25.087 * * [simplify]: Extracting #0: cost 1 inf + 0
25.088 * * [simplify]: Extracting #1: cost 76 inf + 0
25.089 * * [simplify]: Extracting #2: cost 365 inf + 0
25.091 * * [simplify]: Extracting #3: cost 372 inf + 1681
25.094 * * [simplify]: Extracting #4: cost 293 inf + 21761
25.111 * * [simplify]: Extracting #5: cost 185 inf + 61331
25.161 * * [simplify]: Extracting #6: cost 24 inf + 127227
25.191 * * [simplify]: Extracting #7: cost 0 inf + 136036
25.242 * * [simplify]: Extracting #8: cost 0 inf + 135956
25.281 * [simplify]: Simplified to (+ (- (log U) (log (* (* (cos (/ K 2)) J) 2))) (- (log U) (log (* (* (cos (/ K 2)) J) 2))))
25.281 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* (cos (/ K 2)) J) 2))) (- (log U) (log (* (* (cos (/ K 2)) J) 2))))) 1)) -2) (* (cos (/ K 2)) J)))
25.281 * * * * [progress]: [ 57 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
25.281 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J)))))
25.282 * * [simplify]: iters left: 6 (12 enodes)
25.288 * * [simplify]: iters left: 5 (49 enodes)
25.300 * * [simplify]: iters left: 4 (96 enodes)
25.317 * * [simplify]: iters left: 3 (241 enodes)
25.439 * * [simplify]: Extracting #0: cost 1 inf + 0
25.439 * * [simplify]: Extracting #1: cost 51 inf + 0
25.440 * * [simplify]: Extracting #2: cost 253 inf + 0
25.441 * * [simplify]: Extracting #3: cost 251 inf + 1468
25.442 * * [simplify]: Extracting #4: cost 210 inf + 10564
25.449 * * [simplify]: Extracting #5: cost 155 inf + 29459
25.475 * * [simplify]: Extracting #6: cost 37 inf + 79315
25.498 * * [simplify]: Extracting #7: cost 2 inf + 94143
25.516 * * [simplify]: Extracting #8: cost 0 inf + 94949
25.544 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))
25.544 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J)))
25.544 * * * * [progress]: [ 58 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
25.544 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J)))))
25.545 * * [simplify]: iters left: 6 (14 enodes)
25.549 * * [simplify]: iters left: 5 (54 enodes)
25.558 * * [simplify]: iters left: 4 (109 enodes)
25.584 * * [simplify]: iters left: 3 (265 enodes)
25.692 * * [simplify]: Extracting #0: cost 1 inf + 0
25.692 * * [simplify]: Extracting #1: cost 51 inf + 0
25.698 * * [simplify]: Extracting #2: cost 244 inf + 0
25.700 * * [simplify]: Extracting #3: cost 262 inf + 440
25.703 * * [simplify]: Extracting #4: cost 215 inf + 10030
25.710 * * [simplify]: Extracting #5: cost 163 inf + 23870
25.727 * * [simplify]: Extracting #6: cost 25 inf + 76692
25.744 * * [simplify]: Extracting #7: cost 0 inf + 88035
25.772 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))
25.772 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J)))
25.773 * * * * [progress]: [ 59 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
25.773 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))))
25.773 * * [simplify]: iters left: 6 (18 enodes)
25.778 * * [simplify]: iters left: 5 (73 enodes)
25.790 * * [simplify]: iters left: 4 (156 enodes)
25.838 * * [simplify]: iters left: 3 (364 enodes)
26.011 * * [simplify]: Extracting #0: cost 1 inf + 0
26.011 * * [simplify]: Extracting #1: cost 80 inf + 0
26.013 * * [simplify]: Extracting #2: cost 313 inf + 0
26.016 * * [simplify]: Extracting #3: cost 332 inf + 1459
26.021 * * [simplify]: Extracting #4: cost 280 inf + 12494
26.026 * * [simplify]: Extracting #5: cost 262 inf + 14647
26.034 * * [simplify]: Extracting #6: cost 220 inf + 26860
26.072 * * [simplify]: Extracting #7: cost 48 inf + 98722
26.095 * * [simplify]: Extracting #8: cost 0 inf + 117744
26.134 * * [simplify]: Extracting #9: cost 0 inf + 116834
26.157 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))
26.157 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J)))
26.157 * * * * [progress]: [ 60 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
26.157 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))))
26.157 * * [simplify]: iters left: 6 (16 enodes)
26.164 * * [simplify]: iters left: 5 (67 enodes)
26.188 * * [simplify]: iters left: 4 (134 enodes)
26.222 * * [simplify]: iters left: 3 (344 enodes)
26.374 * * [simplify]: Extracting #0: cost 1 inf + 0
26.374 * * [simplify]: Extracting #1: cost 71 inf + 0
26.376 * * [simplify]: Extracting #2: cost 346 inf + 0
26.379 * * [simplify]: Extracting #3: cost 365 inf + 1775
26.385 * * [simplify]: Extracting #4: cost 317 inf + 12569
26.400 * * [simplify]: Extracting #5: cost 170 inf + 63164
26.424 * * [simplify]: Extracting #6: cost 9 inf + 127889
26.475 * * [simplify]: Extracting #7: cost 0 inf + 129544
26.527 * * [simplify]: Extracting #8: cost 0 inf + 129464
26.563 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))
26.563 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J)))
26.563 * * * * [progress]: [ 61 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
26.563 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J)))))
26.563 * * [simplify]: iters left: 6 (14 enodes)
26.568 * * [simplify]: iters left: 5 (54 enodes)
26.577 * * [simplify]: iters left: 4 (106 enodes)
26.602 * * [simplify]: iters left: 3 (231 enodes)
26.666 * * [simplify]: Extracting #0: cost 1 inf + 0
26.666 * * [simplify]: Extracting #1: cost 64 inf + 0
26.667 * * [simplify]: Extracting #2: cost 246 inf + 0
26.667 * * [simplify]: Extracting #3: cost 259 inf + 560
26.669 * * [simplify]: Extracting #4: cost 218 inf + 8763
26.674 * * [simplify]: Extracting #5: cost 148 inf + 29077
26.698 * * [simplify]: Extracting #6: cost 27 inf + 76331
26.729 * * [simplify]: Extracting #7: cost 0 inf + 87431
26.760 * * [simplify]: Extracting #8: cost 0 inf + 87391
26.786 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))
26.786 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J)))
26.787 * * * * [progress]: [ 62 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
26.787 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J)))))
26.787 * * [simplify]: iters left: 6 (11 enodes)
26.790 * * [simplify]: iters left: 5 (42 enodes)
26.797 * * [simplify]: iters left: 4 (79 enodes)
26.813 * * [simplify]: iters left: 3 (176 enodes)
26.868 * * [simplify]: iters left: 2 (492 enodes)
27.213 * * [simplify]: Extracting #0: cost 1 inf + 0
27.213 * * [simplify]: Extracting #1: cost 82 inf + 0
27.215 * * [simplify]: Extracting #2: cost 428 inf + 0
27.217 * * [simplify]: Extracting #3: cost 439 inf + 1233
27.221 * * [simplify]: Extracting #4: cost 376 inf + 13278
27.235 * * [simplify]: Extracting #5: cost 235 inf + 58965
27.273 * * [simplify]: Extracting #6: cost 19 inf + 145607
27.315 * * [simplify]: Extracting #7: cost 0 inf + 150065
27.381 * * [simplify]: Extracting #8: cost 0 inf + 149995
27.420 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))
27.420 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J)))
27.420 * * * * [progress]: [ 63 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (exp (log (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
27.420 * [simplify]: Simplifying (log (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))
27.421 * * [simplify]: iters left: 6 (11 enodes)
27.426 * * [simplify]: iters left: 5 (45 enodes)
27.445 * * [simplify]: iters left: 4 (108 enodes)
27.476 * * [simplify]: iters left: 3 (427 enodes)
27.746 * * [simplify]: Extracting #0: cost 1 inf + 0
27.747 * * [simplify]: Extracting #1: cost 69 inf + 0
27.748 * * [simplify]: Extracting #2: cost 264 inf + 0
27.752 * * [simplify]: Extracting #3: cost 362 inf + 1302
27.757 * * [simplify]: Extracting #4: cost 309 inf + 7232
27.778 * * [simplify]: Extracting #5: cost 170 inf + 39567
27.819 * * [simplify]: Extracting #6: cost 4 inf + 88309
27.863 * * [simplify]: Extracting #7: cost 0 inf + 88803
27.908 * * [simplify]: Extracting #8: cost 0 inf + 88802
27.930 * [simplify]: Simplified to (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
27.931 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J)))
27.931 * * * * [progress]: [ 64 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (log (exp (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
27.931 * [simplify]: Simplifying (exp (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))
27.931 * * [simplify]: iters left: 6 (11 enodes)
27.934 * * [simplify]: iters left: 5 (45 enodes)
27.948 * * [simplify]: iters left: 4 (100 enodes)
27.990 * * [simplify]: iters left: 3 (376 enodes)
28.213 * * [simplify]: Extracting #0: cost 1 inf + 0
28.213 * * [simplify]: Extracting #1: cost 44 inf + 0
28.214 * * [simplify]: Extracting #2: cost 188 inf + 1
28.215 * * [simplify]: Extracting #3: cost 281 inf + 531
28.217 * * [simplify]: Extracting #4: cost 239 inf + 4512
28.226 * * [simplify]: Extracting #5: cost 149 inf + 24410
28.258 * * [simplify]: Extracting #6: cost 12 inf + 61482
28.292 * * [simplify]: Extracting #7: cost 0 inf + 65017
28.325 * * [simplify]: Extracting #8: cost 0 inf + 64975
28.342 * * [simplify]: Extracting #9: cost 0 inf + 64973
28.360 * [simplify]: Simplified to (exp (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))
28.360 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (log (exp (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) 1)) -2) (* (cos (/ K 2)) J)))
28.360 * * * * [progress]: [ 65 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
28.361 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))))
28.361 * * [simplify]: iters left: 6 (18 enodes)
28.368 * * [simplify]: iters left: 5 (81 enodes)
28.398 * * [simplify]: iters left: 4 (297 enodes)
28.805 * * [simplify]: Extracting #0: cost 1 inf + 0
28.806 * * [simplify]: Extracting #1: cost 317 inf + 0
28.810 * * [simplify]: Extracting #2: cost 1387 inf + 1108
28.831 * * [simplify]: Extracting #3: cost 1159 inf + 33616
28.855 * * [simplify]: Extracting #4: cost 1061 inf + 52676
28.878 * * [simplify]: Extracting #5: cost 1059 inf + 52679
28.919 * * [simplify]: Extracting #6: cost 696 inf + 223839
29.051 * * [simplify]: Extracting #7: cost 52 inf + 487310
29.197 * * [simplify]: Extracting #8: cost 0 inf + 454620
29.383 * * [simplify]: Extracting #9: cost 0 inf + 453620
29.582 * [simplify]: Simplified to (* (/ (* (/ U 8) (* U U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) (/ (* (/ U 8) (* U U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))))
29.582 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* (/ U 8) (* U U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) (/ (* (/ U 8) (* U U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))))) 1)) -2) (* (cos (/ K 2)) J)))
29.583 * * * * [progress]: [ 66 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
29.583 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))))
29.584 * * [simplify]: iters left: 6 (23 enodes)
29.599 * * [simplify]: iters left: 5 (116 enodes)
29.661 * * [simplify]: iters left: 4 (394 enodes)
30.539 * * [simplify]: Extracting #0: cost 1 inf + 0
30.540 * * [simplify]: Extracting #1: cost 313 inf + 0
30.545 * * [simplify]: Extracting #2: cost 1709 inf + 1266
30.555 * * [simplify]: Extracting #3: cost 1537 inf + 30137
30.573 * * [simplify]: Extracting #4: cost 1435 inf + 45132
30.631 * * [simplify]: Extracting #5: cost 1070 inf + 168966
30.811 * * [simplify]: Extracting #6: cost 125 inf + 531412
31.061 * * [simplify]: Extracting #7: cost 0 inf + 565255
31.270 * * [simplify]: Extracting #8: cost 0 inf + 563935
31.523 * * [simplify]: Extracting #9: cost 0 inf + 563895
31.770 * [simplify]: Simplified to (* (/ U (* (/ (* 8 (* J (cos (/ K 2)))) U) (/ (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) U))) (/ U (* (/ (* 8 (* J (cos (/ K 2)))) U) (/ (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) U))))
31.771 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ U (* (/ (* 8 (* J (cos (/ K 2)))) U) (/ (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) U))) (/ U (* (/ (* 8 (* J (cos (/ K 2)))) U) (/ (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) U))))) 1)) -2) (* (cos (/ K 2)) J)))
31.771 * * * * [progress]: [ 67 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
31.771 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))))
31.772 * * [simplify]: iters left: 6 (23 enodes)
31.786 * * [simplify]: iters left: 5 (117 enodes)
31.845 * * [simplify]: Extracting #0: cost 1 inf + 0
31.845 * * [simplify]: Extracting #1: cost 57 inf + 0
31.846 * * [simplify]: Extracting #2: cost 198 inf + 1
31.848 * * [simplify]: Extracting #3: cost 196 inf + 1963
31.850 * * [simplify]: Extracting #4: cost 175 inf + 4048
31.855 * * [simplify]: Extracting #5: cost 138 inf + 14158
31.871 * * [simplify]: Extracting #6: cost 38 inf + 45666
31.895 * * [simplify]: Extracting #7: cost 0 inf + 59703
31.909 * * [simplify]: Extracting #8: cost 0 inf + 58861
31.921 * [simplify]: Simplified to (* (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J)) (/ (/ (* U (* U U)) (* (cos (/ K 2)) (* J 2))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2)))))
31.921 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J)) (/ (/ (* U (* U U)) (* (cos (/ K 2)) (* J 2))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2)))))) 1)) -2) (* (cos (/ K 2)) J)))
31.921 * * * * [progress]: [ 68 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
31.922 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))))
31.922 * * [simplify]: iters left: 6 (23 enodes)
31.929 * * [simplify]: iters left: 5 (110 enodes)
31.981 * * [simplify]: iters left: 4 (408 enodes)
32.495 * * [simplify]: Extracting #0: cost 1 inf + 0
32.496 * * [simplify]: Extracting #1: cost 363 inf + 0
32.512 * * [simplify]: Extracting #2: cost 1402 inf + 169
32.527 * * [simplify]: Extracting #3: cost 1417 inf + 8050
32.544 * * [simplify]: Extracting #4: cost 1333 inf + 19596
32.589 * * [simplify]: Extracting #5: cost 1012 inf + 136790
32.768 * * [simplify]: Extracting #6: cost 138 inf + 513635
32.963 * * [simplify]: Extracting #7: cost 0 inf + 542997
33.140 * * [simplify]: Extracting #8: cost 0 inf + 539266
33.350 * [simplify]: Simplified to (/ (* (/ (* (* U U) (/ (/ (* U U) (* (cos (/ K 2)) 2)) J)) (* 8 (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) (/ (/ (/ (* U U) (* (cos (/ K 2)) 2)) J) (* (cos (/ K 2)) 2))) J)
33.351 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (/ (* (/ (* (* U U) (/ (/ (* U U) (* (cos (/ K 2)) 2)) J)) (* 8 (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) (/ (/ (/ (* U U) (* (cos (/ K 2)) 2)) J) (* (cos (/ K 2)) 2))) J)) 1)) -2) (* (cos (/ K 2)) J)))
33.351 * * * * [progress]: [ 69 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
33.351 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))))
33.352 * * [simplify]: iters left: 6 (23 enodes)
33.367 * * [simplify]: iters left: 5 (116 enodes)
33.412 * * [simplify]: iters left: 4 (400 enodes)
34.392 * * [simplify]: Extracting #0: cost 1 inf + 0
34.393 * * [simplify]: Extracting #1: cost 340 inf + 0
34.402 * * [simplify]: Extracting #2: cost 1788 inf + 1185
34.421 * * [simplify]: Extracting #3: cost 1635 inf + 27729
34.439 * * [simplify]: Extracting #4: cost 1498 inf + 45929
34.499 * * [simplify]: Extracting #5: cost 947 inf + 291000
34.705 * * [simplify]: Extracting #6: cost 31 inf + 635212
34.932 * * [simplify]: Extracting #7: cost 0 inf + 583641
35.163 * * [simplify]: Extracting #8: cost 0 inf + 583601
35.395 * [simplify]: Simplified to (* (* (/ (* U U) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) (/ U 8)) (* (/ (* U U) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) (/ U 8)))
35.395 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ (* U U) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) (/ U 8)) (* (/ (* U U) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) (/ U 8)))) 1)) -2) (* (cos (/ K 2)) J)))
35.396 * * * * [progress]: [ 70 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
35.396 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))))
35.396 * * [simplify]: iters left: 6 (16 enodes)
35.408 * * [simplify]: iters left: 5 (79 enodes)
35.449 * * [simplify]: iters left: 4 (300 enodes)
35.845 * * [simplify]: Extracting #0: cost 1 inf + 0
35.846 * * [simplify]: Extracting #1: cost 283 inf + 0
35.853 * * [simplify]: Extracting #2: cost 1226 inf + 1234
35.867 * * [simplify]: Extracting #3: cost 1094 inf + 17132
35.890 * * [simplify]: Extracting #4: cost 1060 inf + 21044
35.946 * * [simplify]: Extracting #5: cost 664 inf + 179160
36.069 * * [simplify]: Extracting #6: cost 33 inf + 409491
36.239 * * [simplify]: Extracting #7: cost 0 inf + 406137
36.384 * * [simplify]: Extracting #8: cost 0 inf + 405846
36.511 * [simplify]: Simplified to (/ (/ (* U U) (/ (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2)))) (/ (* U U) (* J (cos (/ K 2)))))) (/ (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2)))) (/ (* U U) (* J (cos (/ K 2))))))
36.512 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (/ (/ (* U U) (/ (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2)))) (/ (* U U) (* J (cos (/ K 2)))))) (/ (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2)))) (/ (* U U) (* J (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J)))
36.512 * * * * [progress]: [ 71 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
36.512 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))))
36.512 * * [simplify]: iters left: 6 (20 enodes)
36.521 * * [simplify]: iters left: 5 (110 enodes)
36.552 * * [simplify]: iters left: 4 (486 enodes)
37.372 * * [simplify]: Extracting #0: cost 1 inf + 0
37.373 * * [simplify]: Extracting #1: cost 354 inf + 0
37.384 * * [simplify]: Extracting #2: cost 1686 inf + 46
37.401 * * [simplify]: Extracting #3: cost 1673 inf + 8372
37.421 * * [simplify]: Extracting #4: cost 1552 inf + 23026
37.468 * * [simplify]: Extracting #5: cost 1164 inf + 155007
37.640 * * [simplify]: Extracting #6: cost 140 inf + 556348
37.909 * * [simplify]: Extracting #7: cost 0 inf + 589907
38.115 * * [simplify]: Extracting #8: cost 0 inf + 588607
38.330 * * [simplify]: Extracting #9: cost 0 inf + 588191
38.539 * [simplify]: Simplified to (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))
38.539 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J)))
38.539 * * * * [progress]: [ 72 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
38.540 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))))
38.540 * * [simplify]: iters left: 6 (20 enodes)
38.555 * * [simplify]: iters left: 5 (104 enodes)
38.579 * * [simplify]: iters left: 4 (410 enodes)
39.209 * * [simplify]: Extracting #0: cost 1 inf + 0
39.210 * * [simplify]: Extracting #1: cost 321 inf + 0
39.214 * * [simplify]: Extracting #2: cost 1269 inf + 339
39.220 * * [simplify]: Extracting #3: cost 1299 inf + 5362
39.227 * * [simplify]: Extracting #4: cost 1231 inf + 13348
39.261 * * [simplify]: Extracting #5: cost 805 inf + 180683
39.441 * * [simplify]: Extracting #6: cost 80 inf + 455885
39.656 * * [simplify]: Extracting #7: cost 0 inf + 477924
39.818 * [simplify]: Simplified to (* (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ U 4)) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) (/ (/ U 2) (* J (cos (/ K 2)))))
39.819 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ U 4)) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) (/ (/ U 2) (* J (cos (/ K 2)))))) 1)) -2) (* (cos (/ K 2)) J)))
39.819 * * * * [progress]: [ 73 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
39.819 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))))
39.820 * * [simplify]: iters left: 6 (23 enodes)
39.834 * * [simplify]: iters left: 5 (117 enodes)
39.867 * * [simplify]: Extracting #0: cost 1 inf + 0
39.867 * * [simplify]: Extracting #1: cost 57 inf + 0
39.868 * * [simplify]: Extracting #2: cost 198 inf + 1
39.869 * * [simplify]: Extracting #3: cost 195 inf + 2086
39.870 * * [simplify]: Extracting #4: cost 174 inf + 4290
39.876 * * [simplify]: Extracting #5: cost 116 inf + 19820
39.901 * * [simplify]: Extracting #6: cost 12 inf + 57316
39.925 * * [simplify]: Extracting #7: cost 0 inf + 58322
39.940 * [simplify]: Simplified to (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J)))
39.940 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J)))) 1)) -2) (* (cos (/ K 2)) J)))
39.940 * * * * [progress]: [ 74 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
39.940 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))))
39.940 * * [simplify]: iters left: 6 (20 enodes)
39.948 * * [simplify]: iters left: 5 (110 enodes)
39.983 * * [simplify]: iters left: 4 (486 enodes)
40.791 * * [simplify]: Extracting #0: cost 1 inf + 0
40.792 * * [simplify]: Extracting #1: cost 366 inf + 0
40.799 * * [simplify]: Extracting #2: cost 1773 inf + 1071
40.809 * * [simplify]: Extracting #3: cost 1720 inf + 15061
40.834 * * [simplify]: Extracting #4: cost 1578 inf + 41148
40.934 * * [simplify]: Extracting #5: cost 532 inf + 451450
41.135 * * [simplify]: Extracting #6: cost 6 inf + 633559
41.356 * * [simplify]: Extracting #7: cost 0 inf + 613464
41.619 * * [simplify]: Extracting #8: cost 0 inf + 611947
41.848 * [simplify]: Simplified to (* (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J))) (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J))))
41.849 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J))) (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J))))) 1)) -2) (* (cos (/ K 2)) J)))
41.849 * * * * [progress]: [ 75 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
41.850 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))))
41.850 * * [simplify]: iters left: 6 (14 enodes)
41.858 * * [simplify]: iters left: 5 (69 enodes)
41.891 * * [simplify]: iters left: 4 (284 enodes)
42.295 * * [simplify]: Extracting #0: cost 1 inf + 0
42.295 * * [simplify]: Extracting #1: cost 264 inf + 0
42.299 * * [simplify]: Extracting #2: cost 1051 inf + 500
42.304 * * [simplify]: Extracting #3: cost 1009 inf + 7179
42.310 * * [simplify]: Extracting #4: cost 994 inf + 8857
42.345 * * [simplify]: Extracting #5: cost 715 inf + 92749
42.495 * * [simplify]: Extracting #6: cost 65 inf + 347961
42.672 * * [simplify]: Extracting #7: cost 0 inf + 363104
42.826 * * [simplify]: Extracting #8: cost 0 inf + 361042
42.950 * [simplify]: Simplified to (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))
42.950 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) 1)) -2) (* (cos (/ K 2)) J)))
42.951 * * * * [progress]: [ 76 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
42.951 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))))
42.951 * * [simplify]: iters left: 6 (17 enodes)
42.957 * * [simplify]: iters left: 5 (87 enodes)
43.002 * * [simplify]: iters left: 4 (347 enodes)
43.607 * * [simplify]: Extracting #0: cost 1 inf + 0
43.607 * * [simplify]: Extracting #1: cost 234 inf + 0
43.615 * * [simplify]: Extracting #2: cost 1158 inf + 374
43.626 * * [simplify]: Extracting #3: cost 1109 inf + 7213
43.638 * * [simplify]: Extracting #4: cost 1077 inf + 11014
43.670 * * [simplify]: Extracting #5: cost 744 inf + 113729
43.815 * * [simplify]: Extracting #6: cost 54 inf + 367089
43.994 * * [simplify]: Extracting #7: cost 0 inf + 384468
44.127 * * [simplify]: Extracting #8: cost 0 inf + 384108
44.302 * [simplify]: Simplified to (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2)))))
44.302 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2)))))) 1)) -2) (* (cos (/ K 2)) J)))
44.302 * * * * [progress]: [ 77 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
44.303 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))))
44.303 * * [simplify]: iters left: 6 (23 enodes)
44.318 * * [simplify]: iters left: 5 (110 enodes)
44.357 * * [simplify]: iters left: 4 (410 enodes)
45.186 * * [simplify]: Extracting #0: cost 1 inf + 0
45.187 * * [simplify]: Extracting #1: cost 369 inf + 0
45.191 * * [simplify]: Extracting #2: cost 1315 inf + 499
45.204 * * [simplify]: Extracting #3: cost 1292 inf + 9356
45.220 * * [simplify]: Extracting #4: cost 1187 inf + 24126
45.288 * * [simplify]: Extracting #5: cost 747 inf + 203430
45.424 * * [simplify]: Extracting #6: cost 17 inf + 502680
45.595 * * [simplify]: Extracting #7: cost 0 inf + 482772
45.827 * * [simplify]: Extracting #8: cost 0 inf + 481652
46.002 * [simplify]: Simplified to (* (/ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) 8) (/ (* (* U U) U) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))
46.002 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) 8) (/ (* (* U U) U) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))
46.002 * * * * [progress]: [ 78 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
46.003 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))))
46.003 * * [simplify]: iters left: 6 (20 enodes)
46.013 * * [simplify]: iters left: 5 (104 enodes)
46.064 * * [simplify]: iters left: 4 (410 enodes)
46.629 * * [simplify]: Extracting #0: cost 1 inf + 0
46.630 * * [simplify]: Extracting #1: cost 341 inf + 0
46.640 * * [simplify]: Extracting #2: cost 1272 inf + 256
46.646 * * [simplify]: Extracting #3: cost 1267 inf + 5413
46.654 * * [simplify]: Extracting #4: cost 1188 inf + 15071
46.715 * * [simplify]: Extracting #5: cost 642 inf + 224615
46.911 * * [simplify]: Extracting #6: cost 31 inf + 466201
47.045 * * [simplify]: Extracting #7: cost 0 inf + 462510
47.216 * * [simplify]: Extracting #8: cost 0 inf + 462391
47.346 * [simplify]: Simplified to (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U 4)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))
47.346 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U 4)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))
47.346 * * * * [progress]: [ 79 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
47.346 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))))
47.347 * * [simplify]: iters left: 6 (17 enodes)
47.357 * * [simplify]: iters left: 5 (87 enodes)
47.400 * * [simplify]: iters left: 4 (343 enodes)
47.942 * * [simplify]: Extracting #0: cost 1 inf + 0
47.942 * * [simplify]: Extracting #1: cost 232 inf + 0
47.946 * * [simplify]: Extracting #2: cost 1032 inf + 539
47.956 * * [simplify]: Extracting #3: cost 989 inf + 7094
47.968 * * [simplify]: Extracting #4: cost 960 inf + 10446
47.988 * * [simplify]: Extracting #5: cost 668 inf + 98139
48.089 * * [simplify]: Extracting #6: cost 29 inf + 337987
48.223 * * [simplify]: Extracting #7: cost 0 inf + 342043
48.348 * [simplify]: Simplified to (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))
48.348 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))
48.348 * * * * [progress]: [ 80 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
48.349 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))))
48.349 * * [simplify]: iters left: 6 (12 enodes)
48.352 * * [simplify]: iters left: 5 (55 enodes)
48.374 * * [simplify]: iters left: 4 (179 enodes)
48.566 * * [simplify]: Extracting #0: cost 1 inf + 0
48.566 * * [simplify]: Extracting #1: cost 111 inf + 0
48.569 * * [simplify]: Extracting #2: cost 473 inf + 4
48.574 * * [simplify]: Extracting #3: cost 504 inf + 1217
48.595 * * [simplify]: Extracting #4: cost 295 inf + 62552
48.665 * * [simplify]: Extracting #5: cost 22 inf + 158607
48.725 * * [simplify]: Extracting #6: cost 0 inf + 166782
48.775 * [simplify]: Simplified to (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))
48.775 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J)))
48.776 * * * * [progress]: [ 81 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (* (cbrt (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (cbrt (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (cbrt (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
48.776 * [simplify]: Simplifying (* (cbrt (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (cbrt (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))
48.776 * * [simplify]: iters left: 6 (12 enodes)
48.780 * * [simplify]: iters left: 5 (46 enodes)
48.795 * * [simplify]: iters left: 4 (97 enodes)
48.837 * * [simplify]: iters left: 3 (350 enodes)
49.049 * * [simplify]: Extracting #0: cost 1 inf + 0
49.050 * * [simplify]: Extracting #1: cost 3 inf + 0
49.050 * * [simplify]: Extracting #2: cost 5 inf + 0
49.050 * * [simplify]: Extracting #3: cost 121 inf + 0
49.051 * * [simplify]: Extracting #4: cost 233 inf + 294
49.052 * * [simplify]: Extracting #5: cost 199 inf + 3378
49.057 * * [simplify]: Extracting #6: cost 124 inf + 18714
49.081 * * [simplify]: Extracting #7: cost 3 inf + 47445
49.112 * * [simplify]: Extracting #8: cost 0 inf + 47795
49.141 * [simplify]: Simplified to (* (cbrt (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (cbrt (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))
49.141 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* (cbrt (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (cbrt (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cbrt (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))
49.142 * [simplify]: Simplifying (cbrt (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))
49.142 * * [simplify]: iters left: 6 (11 enodes)
49.147 * * [simplify]: iters left: 5 (43 enodes)
49.161 * * [simplify]: iters left: 4 (94 enodes)
49.186 * * [simplify]: iters left: 3 (348 enodes)
49.413 * * [simplify]: Extracting #0: cost 1 inf + 0
49.414 * * [simplify]: Extracting #1: cost 3 inf + 0
49.414 * * [simplify]: Extracting #2: cost 115 inf + 0
49.415 * * [simplify]: Extracting #3: cost 232 inf + 128
49.416 * * [simplify]: Extracting #4: cost 196 inf + 3336
49.421 * * [simplify]: Extracting #5: cost 108 inf + 20573
49.435 * * [simplify]: Extracting #6: cost 4 inf + 45065
49.450 * * [simplify]: Extracting #7: cost 0 inf + 45917
49.467 * [simplify]: Simplified to (cbrt (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))
49.467 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (cbrt (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (cbrt (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (cbrt (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) 1)) -2) (* (cos (/ K 2)) J)))
49.467 * * * * [progress]: [ 82 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
49.468 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))
49.468 * * [simplify]: iters left: 6 (12 enodes)
49.471 * * [simplify]: iters left: 5 (54 enodes)
49.482 * * [simplify]: iters left: 4 (162 enodes)
49.583 * * [simplify]: Extracting #0: cost 1 inf + 0
49.583 * * [simplify]: Extracting #1: cost 107 inf + 0
49.584 * * [simplify]: Extracting #2: cost 337 inf + 217
49.585 * * [simplify]: Extracting #3: cost 407 inf + 468
49.594 * * [simplify]: Extracting #4: cost 217 inf + 55994
49.639 * * [simplify]: Extracting #5: cost 18 inf + 128801
49.700 * * [simplify]: Extracting #6: cost 0 inf + 135420
49.745 * * [simplify]: Extracting #7: cost 0 inf + 134829
49.790 * [simplify]: Simplified to (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))
49.790 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J)))
49.790 * * * * [progress]: [ 83 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (sqrt (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (sqrt (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
49.790 * [simplify]: Simplifying (sqrt (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))
49.790 * * [simplify]: iters left: 6 (11 enodes)
49.793 * * [simplify]: iters left: 5 (44 enodes)
49.801 * * [simplify]: iters left: 4 (95 enodes)
49.827 * * [simplify]: iters left: 3 (350 enodes)
50.055 * * [simplify]: Extracting #0: cost 1 inf + 0
50.055 * * [simplify]: Extracting #1: cost 4 inf + 0
50.055 * * [simplify]: Extracting #2: cost 117 inf + 0
50.056 * * [simplify]: Extracting #3: cost 231 inf + 292
50.058 * * [simplify]: Extracting #4: cost 195 inf + 3379
50.069 * * [simplify]: Extracting #5: cost 111 inf + 20356
50.096 * * [simplify]: Extracting #6: cost 4 inf + 45410
50.125 * * [simplify]: Extracting #7: cost 0 inf + 46185
50.154 * * [simplify]: Extracting #8: cost 0 inf + 46183
50.184 * [simplify]: Simplified to (fabs (/ (/ (/ U 2) J) (cos (/ K 2))))
50.184 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (fabs (/ (/ (/ U 2) J) (cos (/ K 2)))) (sqrt (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))
50.185 * [simplify]: Simplifying (sqrt (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))
50.185 * * [simplify]: iters left: 6 (11 enodes)
50.191 * * [simplify]: iters left: 5 (44 enodes)
50.206 * * [simplify]: iters left: 4 (95 enodes)
50.252 * * [simplify]: iters left: 3 (350 enodes)
50.511 * * [simplify]: Extracting #0: cost 1 inf + 0
50.512 * * [simplify]: Extracting #1: cost 4 inf + 0
50.512 * * [simplify]: Extracting #2: cost 117 inf + 0
50.513 * * [simplify]: Extracting #3: cost 231 inf + 292
50.514 * * [simplify]: Extracting #4: cost 195 inf + 3379
50.519 * * [simplify]: Extracting #5: cost 111 inf + 20356
50.532 * * [simplify]: Extracting #6: cost 4 inf + 45410
50.559 * * [simplify]: Extracting #7: cost 0 inf + 46185
50.576 * * [simplify]: Extracting #8: cost 0 inf + 46183
50.599 * [simplify]: Simplified to (fabs (/ (/ (/ U 2) J) (cos (/ K 2))))
50.599 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (sqrt (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (fabs (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J)))
50.599 * * * * [progress]: [ 84 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))>
50.599 * [simplify]: Simplifying (* U U)
50.599 * * [simplify]: iters left: 2 (2 enodes)
50.600 * * [simplify]: iters left: 1 (6 enodes)
50.602 * * [simplify]: Extracting #0: cost 1 inf + 0
50.602 * * [simplify]: Extracting #1: cost 3 inf + 0
50.602 * * [simplify]: Extracting #2: cost 2 inf + 1
50.602 * * [simplify]: Extracting #3: cost 0 inf + 83
50.602 * [simplify]: Simplified to (* U U)
50.602 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))
50.603 * [simplify]: Simplifying (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))
50.603 * * [simplify]: iters left: 6 (8 enodes)
50.608 * * [simplify]: iters left: 5 (36 enodes)
50.615 * * [simplify]: iters left: 4 (87 enodes)
50.642 * * [simplify]: iters left: 3 (206 enodes)
50.715 * * [simplify]: iters left: 2 (337 enodes)
50.853 * * [simplify]: iters left: 1 (355 enodes)
50.982 * * [simplify]: Extracting #0: cost 1 inf + 0
50.982 * * [simplify]: Extracting #1: cost 27 inf + 0
50.983 * * [simplify]: Extracting #2: cost 45 inf + 126
50.983 * * [simplify]: Extracting #3: cost 40 inf + 539
50.983 * * [simplify]: Extracting #4: cost 38 inf + 582
50.985 * * [simplify]: Extracting #5: cost 14 inf + 4770
50.987 * * [simplify]: Extracting #6: cost 0 inf + 7288
50.989 * * [simplify]: Extracting #7: cost 0 inf + 7248
50.991 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J))
50.991 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (/ (* U U) (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J))) 1)) -2) (* (cos (/ K 2)) J)))
50.992 * * * * [progress]: [ 85 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J)))>
50.992 * * * * [progress]: [ 86 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (* (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
50.992 * [simplify]: Simplifying (* (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))))
50.992 * * [simplify]: iters left: 6 (12 enodes)
50.995 * * [simplify]: iters left: 5 (46 enodes)
51.002 * * [simplify]: iters left: 4 (68 enodes)
51.015 * * [simplify]: iters left: 3 (95 enodes)
51.044 * * [simplify]: iters left: 2 (144 enodes)
51.088 * * [simplify]: iters left: 1 (288 enodes)
51.176 * * [simplify]: Extracting #0: cost 1 inf + 0
51.176 * * [simplify]: Extracting #1: cost 71 inf + 0
51.177 * * [simplify]: Extracting #2: cost 140 inf + 46
51.178 * * [simplify]: Extracting #3: cost 128 inf + 636
51.180 * * [simplify]: Extracting #4: cost 111 inf + 2561
51.182 * * [simplify]: Extracting #5: cost 99 inf + 4759
51.192 * * [simplify]: Extracting #6: cost 26 inf + 35874
51.210 * * [simplify]: Extracting #7: cost 0 inf + 49849
51.227 * [simplify]: Simplified to (* (cbrt (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2))
51.227 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* (cbrt (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))
51.228 * [simplify]: Simplifying (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))
51.228 * * [simplify]: iters left: 6 (11 enodes)
51.233 * * [simplify]: iters left: 5 (39 enodes)
51.245 * * [simplify]: iters left: 4 (57 enodes)
51.265 * * [simplify]: iters left: 3 (74 enodes)
51.282 * * [simplify]: iters left: 2 (79 enodes)
51.292 * * [simplify]: Extracting #0: cost 1 inf + 0
51.292 * * [simplify]: Extracting #1: cost 3 inf + 0
51.292 * * [simplify]: Extracting #2: cost 5 inf + 0
51.292 * * [simplify]: Extracting #3: cost 16 inf + 0
51.292 * * [simplify]: Extracting #4: cost 25 inf + 3
51.292 * * [simplify]: Extracting #5: cost 28 inf + 129
51.292 * * [simplify]: Extracting #6: cost 13 inf + 1889
51.293 * * [simplify]: Extracting #7: cost 3 inf + 3901
51.294 * * [simplify]: Extracting #8: cost 0 inf + 4410
51.294 * [simplify]: Simplified to (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))))
51.294 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))))) 1)) -2) (* (cos (/ K 2)) J)))
51.295 * * * * [progress]: [ 87 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
51.295 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))))
51.295 * * [simplify]: iters left: 6 (11 enodes)
51.298 * * [simplify]: iters left: 5 (37 enodes)
51.303 * * [simplify]: iters left: 4 (56 enodes)
51.312 * * [simplify]: iters left: 3 (73 enodes)
51.322 * * [simplify]: iters left: 2 (78 enodes)
51.332 * * [simplify]: Extracting #0: cost 1 inf + 0
51.332 * * [simplify]: Extracting #1: cost 13 inf + 0
51.332 * * [simplify]: Extracting #2: cost 23 inf + 3
51.332 * * [simplify]: Extracting #3: cost 26 inf + 129
51.332 * * [simplify]: Extracting #4: cost 16 inf + 851
51.333 * * [simplify]: Extracting #5: cost 3 inf + 3053
51.333 * * [simplify]: Extracting #6: cost 0 inf + 3642
51.334 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J))
51.334 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))
51.334 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))))
51.334 * * [simplify]: iters left: 6 (11 enodes)
51.337 * * [simplify]: iters left: 5 (37 enodes)
51.343 * * [simplify]: iters left: 4 (56 enodes)
51.361 * * [simplify]: iters left: 3 (73 enodes)
51.373 * * [simplify]: iters left: 2 (78 enodes)
51.382 * * [simplify]: Extracting #0: cost 1 inf + 0
51.382 * * [simplify]: Extracting #1: cost 13 inf + 0
51.383 * * [simplify]: Extracting #2: cost 23 inf + 3
51.383 * * [simplify]: Extracting #3: cost 26 inf + 129
51.383 * * [simplify]: Extracting #4: cost 16 inf + 851
51.383 * * [simplify]: Extracting #5: cost 3 inf + 3053
51.384 * * [simplify]: Extracting #6: cost 0 inf + 3642
51.385 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J))
51.385 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) -2) (* (cos (/ K 2)) J)))
51.385 * * * * [progress]: [ 88 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (* (/ (* (cbrt U) (cbrt U)) 2) (/ (* (cbrt U) (cbrt U)) 2)) (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ (cbrt U) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))>
51.385 * [simplify]: Simplifying (* (/ (* (cbrt U) (cbrt U)) 2) (/ (* (cbrt U) (cbrt U)) 2))
51.385 * * [simplify]: iters left: 6 (6 enodes)
51.387 * * [simplify]: iters left: 5 (24 enodes)
51.392 * * [simplify]: iters left: 4 (46 enodes)
51.403 * * [simplify]: iters left: 3 (94 enodes)
51.438 * * [simplify]: iters left: 2 (159 enodes)
51.494 * * [simplify]: iters left: 1 (178 enodes)
51.526 * * [simplify]: Extracting #0: cost 1 inf + 0
51.526 * * [simplify]: Extracting #1: cost 29 inf + 0
51.526 * * [simplify]: Extracting #2: cost 41 inf + 574
51.527 * * [simplify]: Extracting #3: cost 17 inf + 3701
51.528 * * [simplify]: Extracting #4: cost 1 inf + 6290
51.529 * * [simplify]: Extracting #5: cost 0 inf + 6582
51.531 * [simplify]: Simplified to (/ (cbrt U) (/ 4 U))
51.531 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (cbrt U) (/ 4 U)) (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ (cbrt U) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))
51.531 * [simplify]: Simplifying (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ (cbrt U) (* (cos (/ K 2)) J)))
51.531 * * [simplify]: iters left: 6 (10 enodes)
51.534 * * [simplify]: iters left: 5 (37 enodes)
51.540 * * [simplify]: iters left: 4 (67 enodes)
51.553 * * [simplify]: iters left: 3 (153 enodes)
51.590 * * [simplify]: iters left: 2 (265 enodes)
51.661 * * [simplify]: iters left: 1 (362 enodes)
51.774 * * [simplify]: Extracting #0: cost 1 inf + 0
51.775 * * [simplify]: Extracting #1: cost 35 inf + 0
51.775 * * [simplify]: Extracting #2: cost 67 inf + 42
51.775 * * [simplify]: Extracting #3: cost 66 inf + 287
51.777 * * [simplify]: Extracting #4: cost 37 inf + 5381
51.781 * * [simplify]: Extracting #5: cost 4 inf + 13267
51.784 * * [simplify]: Extracting #6: cost 0 inf + 14362
51.788 * [simplify]: Simplified to (* (/ (/ (cbrt U) J) (cos (/ K 2))) (/ (/ (cbrt U) J) (cos (/ K 2))))
51.788 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ (cbrt U) (/ 4 U)) (* (/ (/ (cbrt U) J) (cos (/ K 2))) (/ (/ (cbrt U) J) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J)))
51.788 * * * * [progress]: [ 89 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (* (/ (sqrt U) 2) (/ (sqrt U) 2)) (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ (sqrt U) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))>
51.788 * [simplify]: Simplifying (* (/ (sqrt U) 2) (/ (sqrt U) 2))
51.788 * * [simplify]: iters left: 5 (5 enodes)
51.790 * * [simplify]: iters left: 4 (19 enodes)
51.793 * * [simplify]: iters left: 3 (27 enodes)
51.800 * * [simplify]: iters left: 2 (34 enodes)
51.810 * * [simplify]: iters left: 1 (44 enodes)
51.822 * * [simplify]: Extracting #0: cost 1 inf + 0
51.822 * * [simplify]: Extracting #1: cost 11 inf + 0
51.822 * * [simplify]: Extracting #2: cost 14 inf + 3
51.823 * * [simplify]: Extracting #3: cost 6 inf + 457
51.823 * * [simplify]: Extracting #4: cost 1 inf + 827
51.824 * * [simplify]: Extracting #5: cost 0 inf + 909
51.824 * [simplify]: Simplified to (/ U 4)
51.824 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U 4) (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ (sqrt U) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))
51.825 * [simplify]: Simplifying (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ (sqrt U) (* (cos (/ K 2)) J)))
51.825 * * [simplify]: iters left: 6 (10 enodes)
51.830 * * [simplify]: iters left: 5 (37 enodes)
51.842 * * [simplify]: iters left: 4 (67 enodes)
51.858 * * [simplify]: iters left: 3 (146 enodes)
51.890 * * [simplify]: iters left: 2 (251 enodes)
51.993 * * [simplify]: iters left: 1 (349 enodes)
52.112 * * [simplify]: Extracting #0: cost 1 inf + 0
52.112 * * [simplify]: Extracting #1: cost 35 inf + 0
52.113 * * [simplify]: Extracting #2: cost 62 inf + 166
52.114 * * [simplify]: Extracting #3: cost 55 inf + 984
52.116 * * [simplify]: Extracting #4: cost 30 inf + 4815
52.122 * * [simplify]: Extracting #5: cost 2 inf + 10753
52.129 * * [simplify]: Extracting #6: cost 0 inf + 11240
52.137 * [simplify]: Simplified to (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))
52.137 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U 4) (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))
52.137 * * * * [progress]: [ 90 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (* (/ 1 2) (/ 1 2)) (* (/ U (* (cos (/ K 2)) J)) (/ U (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))>
52.137 * [simplify]: Simplifying (* (/ 1 2) (/ 1 2))
52.137 * * [simplify]: iters left: 4 (4 enodes)
52.144 * * [simplify]: iters left: 3 (20 enodes)
52.149 * * [simplify]: iters left: 2 (22 enodes)
52.155 * * [simplify]: Extracting #0: cost 1 inf + 0
52.155 * * [simplify]: Extracting #1: cost 0 inf + 1
52.155 * [simplify]: Simplified to 1/4
52.155 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* 1/4 (* (/ U (* (cos (/ K 2)) J)) (/ U (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))
52.156 * [simplify]: Simplifying (* (/ U (* (cos (/ K 2)) J)) (/ U (* (cos (/ K 2)) J)))
52.156 * * [simplify]: iters left: 6 (9 enodes)
52.161 * * [simplify]: iters left: 5 (34 enodes)
52.172 * * [simplify]: iters left: 4 (64 enodes)
52.195 * * [simplify]: iters left: 3 (148 enodes)
52.258 * * [simplify]: iters left: 2 (260 enodes)
52.344 * * [simplify]: iters left: 1 (358 enodes)
52.467 * * [simplify]: Extracting #0: cost 1 inf + 0
52.467 * * [simplify]: Extracting #1: cost 35 inf + 0
52.467 * * [simplify]: Extracting #2: cost 64 inf + 43
52.467 * * [simplify]: Extracting #3: cost 57 inf + 701
52.468 * * [simplify]: Extracting #4: cost 50 inf + 1032
52.469 * * [simplify]: Extracting #5: cost 32 inf + 3989
52.472 * * [simplify]: Extracting #6: cost 1 inf + 10017
52.475 * * [simplify]: Extracting #7: cost 0 inf + 10200
52.480 * [simplify]: Simplified to (* (/ (/ U J) (cos (/ K 2))) (/ (/ U J) (cos (/ K 2))))
52.480 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* 1/4 (* (/ (/ U J) (cos (/ K 2))) (/ (/ U J) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J)))
52.480 * * * * [progress]: [ 91 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (* 1 1) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J)))>
52.480 * [simplify]: Simplifying (* 1 1)
52.480 * * [simplify]: iters left: 2 (2 enodes)
52.481 * * [simplify]: iters left: 1 (6 enodes)
52.483 * * [simplify]: Extracting #0: cost 1 inf + 0
52.483 * * [simplify]: Extracting #1: cost 0 inf + 1
52.483 * [simplify]: Simplified to 1
52.483 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J)))
52.483 * [simplify]: Simplifying (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))
52.483 * * [simplify]: iters left: 6 (10 enodes)
52.486 * * [simplify]: iters left: 5 (40 enodes)
52.494 * * [simplify]: iters left: 4 (91 enodes)
52.531 * * [simplify]: iters left: 3 (345 enodes)
52.728 * * [simplify]: Extracting #0: cost 1 inf + 0
52.729 * * [simplify]: Extracting #1: cost 118 inf + 0
52.730 * * [simplify]: Extracting #2: cost 234 inf + 87
52.731 * * [simplify]: Extracting #3: cost 205 inf + 2556
52.736 * * [simplify]: Extracting #4: cost 114 inf + 20071
52.749 * * [simplify]: Extracting #5: cost 3 inf + 46017
52.770 * * [simplify]: Extracting #6: cost 0 inf + 46605
52.784 * * [simplify]: Extracting #7: cost 0 inf + 46604
52.806 * [simplify]: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))
52.806 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J)))
52.806 * * * * [progress]: [ 92 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (* U U) (* (/ 1 (* 2 (* (cos (/ K 2)) J))) (/ 1 (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J)))>
52.806 * [simplify]: Simplifying (* U U)
52.806 * * [simplify]: iters left: 2 (2 enodes)
52.807 * * [simplify]: iters left: 1 (6 enodes)
52.807 * * [simplify]: Extracting #0: cost 1 inf + 0
52.807 * * [simplify]: Extracting #1: cost 3 inf + 0
52.807 * * [simplify]: Extracting #2: cost 2 inf + 1
52.808 * * [simplify]: Extracting #3: cost 0 inf + 83
52.808 * [simplify]: Simplified to (* U U)
52.808 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* U U) (* (/ 1 (* 2 (* (cos (/ K 2)) J))) (/ 1 (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J)))
52.808 * [simplify]: Simplifying (* (/ 1 (* 2 (* (cos (/ K 2)) J))) (/ 1 (* 2 (* (cos (/ K 2)) J))))
52.808 * * [simplify]: iters left: 6 (10 enodes)
52.811 * * [simplify]: iters left: 5 (43 enodes)
52.820 * * [simplify]: iters left: 4 (82 enodes)
52.851 * * [simplify]: iters left: 3 (275 enodes)
53.101 * * [simplify]: Extracting #0: cost 1 inf + 0
53.102 * * [simplify]: Extracting #1: cost 73 inf + 0
53.103 * * [simplify]: Extracting #2: cost 165 inf + 131
53.105 * * [simplify]: Extracting #3: cost 138 inf + 2317
53.108 * * [simplify]: Extracting #4: cost 114 inf + 5948
53.121 * * [simplify]: Extracting #5: cost 19 inf + 26483
53.138 * * [simplify]: Extracting #6: cost 0 inf + 30621
53.157 * * [simplify]: Extracting #7: cost 0 inf + 30582
53.176 * [simplify]: Simplified to (/ (/ 1/4 (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))
53.176 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* U U) (/ (/ 1/4 (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) 1)) -2) (* (cos (/ K 2)) J)))
53.176 * * * * [progress]: [ 93 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
53.176 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))))
53.177 * * [simplify]: iters left: 6 (11 enodes)
53.182 * * [simplify]: iters left: 5 (37 enodes)
53.193 * * [simplify]: iters left: 4 (56 enodes)
53.201 * * [simplify]: iters left: 3 (73 enodes)
53.211 * * [simplify]: iters left: 2 (78 enodes)
53.224 * * [simplify]: Extracting #0: cost 1 inf + 0
53.224 * * [simplify]: Extracting #1: cost 13 inf + 0
53.224 * * [simplify]: Extracting #2: cost 23 inf + 3
53.224 * * [simplify]: Extracting #3: cost 26 inf + 129
53.225 * * [simplify]: Extracting #4: cost 16 inf + 851
53.226 * * [simplify]: Extracting #5: cost 3 inf + 3053
53.227 * * [simplify]: Extracting #6: cost 0 inf + 3642
53.229 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J))
53.229 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))
53.229 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))))
53.229 * * [simplify]: iters left: 6 (11 enodes)
53.233 * * [simplify]: iters left: 5 (37 enodes)
53.238 * * [simplify]: iters left: 4 (56 enodes)
53.246 * * [simplify]: iters left: 3 (73 enodes)
53.256 * * [simplify]: iters left: 2 (78 enodes)
53.272 * * [simplify]: Extracting #0: cost 1 inf + 0
53.272 * * [simplify]: Extracting #1: cost 13 inf + 0
53.272 * * [simplify]: Extracting #2: cost 23 inf + 3
53.272 * * [simplify]: Extracting #3: cost 26 inf + 129
53.272 * * [simplify]: Extracting #4: cost 16 inf + 851
53.274 * * [simplify]: Extracting #5: cost 3 inf + 3053
53.275 * * [simplify]: Extracting #6: cost 0 inf + 3642
53.276 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J))
53.276 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) -2) (* (cos (/ K 2)) J)))
53.277 * * * * [progress]: [ 94 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (pow (/ U (* 2 (* (cos (/ K 2)) J))) (* 2 1)) 1)) -2) (* (cos (/ K 2)) J)))>
53.277 * [simplify]: Simplifying (* 2 1)
53.277 * * [simplify]: iters left: 2 (3 enodes)
53.280 * * [simplify]: iters left: 1 (9 enodes)
53.283 * * [simplify]: Extracting #0: cost 1 inf + 0
53.283 * * [simplify]: Extracting #1: cost 0 inf + 1
53.283 * [simplify]: Simplified to 2
53.283 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (pow (/ U (* 2 (* (cos (/ K 2)) J))) 2) 1)) -2) (* (cos (/ K 2)) J)))
53.283 * * * * [progress]: [ 95 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J)))>
53.283 * [simplify]: Simplifying (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))))
53.284 * * [simplify]: iters left: 6 (12 enodes)
53.290 * * [simplify]: iters left: 5 (47 enodes)
53.308 * * [simplify]: iters left: 4 (96 enodes)
53.351 * * [simplify]: iters left: 3 (304 enodes)
53.505 * * [simplify]: Extracting #0: cost 1 inf + 0
53.506 * * [simplify]: Extracting #1: cost 104 inf + 0
53.507 * * [simplify]: Extracting #2: cost 211 inf + 45
53.509 * * [simplify]: Extracting #3: cost 207 inf + 421
53.517 * * [simplify]: Extracting #4: cost 144 inf + 18325
53.546 * * [simplify]: Extracting #5: cost 14 inf + 67976
53.573 * * [simplify]: Extracting #6: cost 0 inf + 73712
53.591 * [simplify]: Simplified to (* (/ (/ (/ U J) 2) (cos (/ K 2))) (* (cbrt (/ (/ (/ U J) 2) (cos (/ K 2)))) (cbrt (/ (/ (/ U J) 2) (cos (/ K 2))))))
53.591 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (* (cbrt (/ (/ (/ U J) 2) (cos (/ K 2)))) (cbrt (/ (/ (/ U J) 2) (cos (/ K 2)))))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J)))
53.592 * * * * [progress]: [ 96 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J)))>
53.592 * [simplify]: Simplifying (* (/ U (* 2 (* (cos (/ K 2)) J))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))))
53.592 * * [simplify]: iters left: 6 (11 enodes)
53.595 * * [simplify]: iters left: 5 (42 enodes)
53.604 * * [simplify]: iters left: 4 (82 enodes)
53.627 * * [simplify]: iters left: 3 (193 enodes)
53.676 * * [simplify]: iters left: 2 (339 enodes)
53.775 * * [simplify]: iters left: 1 (442 enodes)
53.959 * * [simplify]: Extracting #0: cost 1 inf + 0
53.959 * * [simplify]: Extracting #1: cost 49 inf + 0
53.959 * * [simplify]: Extracting #2: cost 88 inf + 3
53.960 * * [simplify]: Extracting #3: cost 82 inf + 380
53.961 * * [simplify]: Extracting #4: cost 64 inf + 2570
53.964 * * [simplify]: Extracting #5: cost 13 inf + 16620
53.970 * * [simplify]: Extracting #6: cost 0 inf + 20451
53.976 * [simplify]: Simplified to (* (sqrt (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))
53.976 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* (sqrt (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J)))
53.976 * * * * [progress]: [ 97 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ (* (cbrt U) (cbrt U)) 2)) (/ (cbrt U) (* (cos (/ K 2)) J))) 1)) -2) (* (cos (/ K 2)) J)))>
53.976 * [simplify]: Simplifying (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ (* (cbrt U) (cbrt U)) 2))
53.977 * * [simplify]: iters left: 6 (13 enodes)
53.980 * * [simplify]: iters left: 5 (52 enodes)
53.990 * * [simplify]: iters left: 4 (114 enodes)
54.043 * * [simplify]: iters left: 3 (395 enodes)
54.315 * * [simplify]: Extracting #0: cost 1 inf + 0
54.316 * * [simplify]: Extracting #1: cost 140 inf + 0
54.317 * * [simplify]: Extracting #2: cost 287 inf + 292
54.322 * * [simplify]: Extracting #3: cost 243 inf + 7889
54.329 * * [simplify]: Extracting #4: cost 107 inf + 39337
54.358 * * [simplify]: Extracting #5: cost 5 inf + 68400
54.376 * * [simplify]: Extracting #6: cost 0 inf + 69922
54.393 * [simplify]: Simplified to (* (/ (* (/ (cbrt U) 2) U) J) (/ (/ (cbrt U) 2) (cos (/ K 2))))
54.393 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* (/ (* (/ (cbrt U) 2) U) J) (/ (/ (cbrt U) 2) (cos (/ K 2)))) (/ (cbrt U) (* (cos (/ K 2)) J))) 1)) -2) (* (cos (/ K 2)) J)))
54.393 * * * * [progress]: [ 98 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ (sqrt U) 2)) (/ (sqrt U) (* (cos (/ K 2)) J))) 1)) -2) (* (cos (/ K 2)) J)))>
54.394 * [simplify]: Simplifying (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ (sqrt U) 2))
54.394 * * [simplify]: iters left: 6 (12 enodes)
54.400 * * [simplify]: iters left: 5 (47 enodes)
54.413 * * [simplify]: iters left: 4 (98 enodes)
54.437 * * [simplify]: iters left: 3 (283 enodes)
54.549 * * [simplify]: Extracting #0: cost 1 inf + 0
54.549 * * [simplify]: Extracting #1: cost 84 inf + 0
54.550 * * [simplify]: Extracting #2: cost 159 inf + 127
54.551 * * [simplify]: Extracting #3: cost 124 inf + 4018
54.553 * * [simplify]: Extracting #4: cost 82 inf + 10322
54.558 * * [simplify]: Extracting #5: cost 12 inf + 25689
54.565 * * [simplify]: Extracting #6: cost 0 inf + 28335
54.578 * [simplify]: Simplified to (/ (* (/ (/ (sqrt U) 4) J) U) (cos (/ K 2)))
54.578 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (* (/ (/ (sqrt U) 4) J) U) (cos (/ K 2))) (/ (sqrt U) (* (cos (/ K 2)) J))) 1)) -2) (* (cos (/ K 2)) J)))
54.578 * * * * [progress]: [ 99 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ 1 2)) (/ U (* (cos (/ K 2)) J))) 1)) -2) (* (cos (/ K 2)) J)))>
54.579 * [simplify]: Simplifying (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ 1 2))
54.579 * * [simplify]: iters left: 6 (12 enodes)
54.589 * * [simplify]: iters left: 5 (50 enodes)
54.607 * * [simplify]: iters left: 4 (103 enodes)
54.651 * * [simplify]: iters left: 3 (312 enodes)
54.841 * * [simplify]: Extracting #0: cost 1 inf + 0
54.841 * * [simplify]: Extracting #1: cost 117 inf + 0
54.842 * * [simplify]: Extracting #2: cost 175 inf + 506
54.844 * * [simplify]: Extracting #3: cost 134 inf + 3788
54.847 * * [simplify]: Extracting #4: cost 73 inf + 12286
54.853 * * [simplify]: Extracting #5: cost 1 inf + 26023
54.859 * * [simplify]: Extracting #6: cost 0 inf + 26207
54.865 * [simplify]: Simplified to (/ U (/ (cos (/ K 2)) (/ 1/4 J)))
54.865 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (/ (cos (/ K 2)) (/ 1/4 J))) (/ U (* (cos (/ K 2)) J))) 1)) -2) (* (cos (/ K 2)) J)))
54.865 * * * * [progress]: [ 100 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) 1) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))>
54.866 * [simplify]: Simplifying (* (/ U (* 2 (* (cos (/ K 2)) J))) 1)
54.866 * * [simplify]: iters left: 6 (11 enodes)
54.869 * * [simplify]: iters left: 5 (42 enodes)
54.887 * * [simplify]: iters left: 4 (77 enodes)
54.902 * * [simplify]: iters left: 3 (154 enodes)
54.950 * * [simplify]: iters left: 2 (282 enodes)
55.082 * * [simplify]: iters left: 1 (451 enodes)
55.362 * * [simplify]: Extracting #0: cost 1 inf + 0
55.362 * * [simplify]: Extracting #1: cost 41 inf + 0
55.363 * * [simplify]: Extracting #2: cost 64 inf + 47
55.364 * * [simplify]: Extracting #3: cost 54 inf + 633
55.367 * * [simplify]: Extracting #4: cost 21 inf + 4652
55.372 * * [simplify]: Extracting #5: cost 0 inf + 8303
55.379 * [simplify]: Simplified to (/ (/ (/ U J) (cos (/ K 2))) 2)
55.379 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))
55.379 * * * * [progress]: [ 101 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (/ 1 (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))>
55.379 * [simplify]: Simplifying (* (/ U (* 2 (* (cos (/ K 2)) J))) U)
55.380 * * [simplify]: iters left: 6 (10 enodes)
55.385 * * [simplify]: iters left: 5 (39 enodes)
55.397 * * [simplify]: iters left: 4 (75 enodes)
55.414 * * [simplify]: iters left: 3 (155 enodes)
55.448 * * [simplify]: iters left: 2 (219 enodes)
55.520 * * [simplify]: iters left: 1 (271 enodes)
55.592 * * [simplify]: Extracting #0: cost 1 inf + 0
55.593 * * [simplify]: Extracting #1: cost 34 inf + 0
55.593 * * [simplify]: Extracting #2: cost 57 inf + 86
55.593 * * [simplify]: Extracting #3: cost 46 inf + 874
55.594 * * [simplify]: Extracting #4: cost 20 inf + 4429
55.597 * * [simplify]: Extracting #5: cost 0 inf + 8215
55.599 * [simplify]: Simplified to (/ U (/ 2 (/ (/ U J) (cos (/ K 2)))))
55.599 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (/ 2 (/ (/ U J) (cos (/ K 2))))) (/ 1 (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))
55.599 * * * * [progress]: [ 102 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J)))>
55.599 * [simplify]: Simplifying (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))
55.599 * * [simplify]: iters left: 6 (11 enodes)
55.602 * * [simplify]: iters left: 5 (42 enodes)
55.615 * * [simplify]: iters left: 4 (83 enodes)
55.644 * * [simplify]: iters left: 3 (204 enodes)
55.701 * * [simplify]: iters left: 2 (367 enodes)
55.835 * * [simplify]: iters left: 1 (465 enodes)
55.996 * * [simplify]: Extracting #0: cost 1 inf + 0
55.996 * * [simplify]: Extracting #1: cost 47 inf + 0
55.996 * * [simplify]: Extracting #2: cost 86 inf + 3
55.997 * * [simplify]: Extracting #3: cost 81 inf + 338
55.998 * * [simplify]: Extracting #4: cost 58 inf + 3283
56.001 * * [simplify]: Extracting #5: cost 10 inf + 18124
56.008 * * [simplify]: Extracting #6: cost 0 inf + 21764
56.014 * [simplify]: Simplified to (* (cbrt (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))
56.014 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) (* (cbrt (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))
56.014 * * * * [progress]: [ 103 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J)))>
56.014 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))
56.014 * * [simplify]: iters left: 6 (11 enodes)
56.017 * * [simplify]: iters left: 5 (42 enodes)
56.026 * * [simplify]: iters left: 4 (83 enodes)
56.048 * * [simplify]: iters left: 3 (204 enodes)
56.094 * * [simplify]: iters left: 2 (367 enodes)
56.204 * * [simplify]: iters left: 1 (465 enodes)
56.335 * * [simplify]: Extracting #0: cost 1 inf + 0
56.335 * * [simplify]: Extracting #1: cost 47 inf + 0
56.335 * * [simplify]: Extracting #2: cost 86 inf + 3
56.336 * * [simplify]: Extracting #3: cost 81 inf + 338
56.337 * * [simplify]: Extracting #4: cost 58 inf + 3243
56.340 * * [simplify]: Extracting #5: cost 10 inf + 16684
56.346 * * [simplify]: Extracting #6: cost 0 inf + 19924
56.352 * [simplify]: Simplified to (* (sqrt (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))
56.352 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (* (sqrt (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))
56.352 * * * * [progress]: [ 104 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ (* (cbrt U) (cbrt U)) 2) (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J)))>
56.352 * [simplify]: Simplifying (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ U (* 2 (* (cos (/ K 2)) J))))
56.352 * * [simplify]: iters left: 6 (12 enodes)
56.356 * * [simplify]: iters left: 5 (49 enodes)
56.375 * * [simplify]: iters left: 4 (119 enodes)
56.408 * * [simplify]: iters left: 3 (410 enodes)
56.577 * * [simplify]: Extracting #0: cost 1 inf + 0
56.577 * * [simplify]: Extracting #1: cost 126 inf + 0
56.578 * * [simplify]: Extracting #2: cost 255 inf + 411
56.580 * * [simplify]: Extracting #3: cost 220 inf + 4941
56.585 * * [simplify]: Extracting #4: cost 131 inf + 25374
56.601 * * [simplify]: Extracting #5: cost 7 inf + 58558
56.615 * * [simplify]: Extracting #6: cost 0 inf + 60565
56.632 * [simplify]: Simplified to (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))
56.632 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ (* (cbrt U) (cbrt U)) 2) (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))
56.633 * * * * [progress]: [ 105 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ (sqrt U) 2) (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J)))>
56.633 * [simplify]: Simplifying (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ U (* 2 (* (cos (/ K 2)) J))))
56.633 * * [simplify]: iters left: 6 (12 enodes)
56.639 * * [simplify]: iters left: 5 (49 enodes)
56.656 * * [simplify]: iters left: 4 (119 enodes)
56.687 * * [simplify]: iters left: 3 (410 enodes)
56.896 * * [simplify]: Extracting #0: cost 1 inf + 0
56.896 * * [simplify]: Extracting #1: cost 126 inf + 0
56.898 * * [simplify]: Extracting #2: cost 255 inf + 291
56.900 * * [simplify]: Extracting #3: cost 220 inf + 4021
56.908 * * [simplify]: Extracting #4: cost 131 inf + 22494
56.921 * * [simplify]: Extracting #5: cost 7 inf + 52958
56.939 * * [simplify]: Extracting #6: cost 0 inf + 54765
56.967 * [simplify]: Simplified to (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))
56.967 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ (sqrt U) 2) (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))
56.967 * * * * [progress]: [ 106 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ 1 2) (* (/ U (* (cos (/ K 2)) J)) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J)))>
56.968 * [simplify]: Simplifying (* (/ U (* (cos (/ K 2)) J)) (/ U (* 2 (* (cos (/ K 2)) J))))
56.968 * * [simplify]: iters left: 6 (11 enodes)
56.974 * * [simplify]: iters left: 5 (46 enodes)
56.990 * * [simplify]: iters left: 4 (113 enodes)
57.026 * * [simplify]: iters left: 3 (363 enodes)
57.217 * * [simplify]: Extracting #0: cost 1 inf + 0
57.217 * * [simplify]: Extracting #1: cost 77 inf + 0
57.219 * * [simplify]: Extracting #2: cost 167 inf + 85
57.221 * * [simplify]: Extracting #3: cost 145 inf + 1902
57.224 * * [simplify]: Extracting #4: cost 105 inf + 7880
57.237 * * [simplify]: Extracting #5: cost 22 inf + 25569
57.255 * * [simplify]: Extracting #6: cost 0 inf + 30530
57.270 * * [simplify]: Extracting #7: cost 0 inf + 30410
57.279 * [simplify]: Simplified to (/ (* (/ U (* (cos (/ K 2)) J)) (/ U (* (cos (/ K 2)) J))) 2)
57.279 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ 1 2) (/ (* (/ U (* (cos (/ K 2)) J)) (/ U (* (cos (/ K 2)) J))) 2)) 1)) -2) (* (cos (/ K 2)) J)))
57.279 * * * * [progress]: [ 107 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J)))>
57.279 * [simplify]: Simplifying (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))
57.279 * * [simplify]: iters left: 6 (10 enodes)
57.282 * * [simplify]: iters left: 5 (40 enodes)
57.291 * * [simplify]: iters left: 4 (91 enodes)
57.315 * * [simplify]: iters left: 3 (345 enodes)
57.531 * * [simplify]: Extracting #0: cost 1 inf + 0
57.531 * * [simplify]: Extracting #1: cost 118 inf + 0
57.533 * * [simplify]: Extracting #2: cost 234 inf + 87
57.534 * * [simplify]: Extracting #3: cost 205 inf + 2556
57.539 * * [simplify]: Extracting #4: cost 114 inf + 20071
57.552 * * [simplify]: Extracting #5: cost 3 inf + 46017
57.570 * * [simplify]: Extracting #6: cost 0 inf + 46605
57.600 * * [simplify]: Extracting #7: cost 0 inf + 46604
57.632 * [simplify]: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))
57.632 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J)))
57.632 * * * * [progress]: [ 108 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* U (* (/ 1 (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J)))>
57.632 * [simplify]: Simplifying (* (/ 1 (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))
57.633 * * [simplify]: iters left: 6 (12 enodes)
57.639 * * [simplify]: iters left: 5 (52 enodes)
57.649 * * [simplify]: iters left: 4 (117 enodes)
57.690 * * [simplify]: Extracting #0: cost 1 inf + 0
57.690 * * [simplify]: Extracting #1: cost 76 inf + 0
57.691 * * [simplify]: Extracting #2: cost 172 inf + 214
57.692 * * [simplify]: Extracting #3: cost 147 inf + 2165
57.695 * * [simplify]: Extracting #4: cost 123 inf + 5517
57.700 * * [simplify]: Extracting #5: cost 12 inf + 31756
57.708 * * [simplify]: Extracting #6: cost 0 inf + 34965
57.715 * [simplify]: Simplified to (/ U (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))))
57.715 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* U (/ U (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))))) 1)) -2) (* (cos (/ K 2)) J)))
57.715 * * * * [progress]: [ 109 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (/ (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* 2 (* (cos (/ K 2)) J))) 1)) -2) (* (cos (/ K 2)) J)))>
57.716 * [simplify]: Simplifying (* (/ U (* 2 (* (cos (/ K 2)) J))) U)
57.716 * * [simplify]: iters left: 6 (10 enodes)
57.719 * * [simplify]: iters left: 5 (39 enodes)
57.728 * * [simplify]: iters left: 4 (75 enodes)
57.755 * * [simplify]: iters left: 3 (155 enodes)
57.786 * * [simplify]: iters left: 2 (219 enodes)
57.848 * * [simplify]: iters left: 1 (271 enodes)
57.926 * * [simplify]: Extracting #0: cost 1 inf + 0
57.926 * * [simplify]: Extracting #1: cost 34 inf + 0
57.927 * * [simplify]: Extracting #2: cost 57 inf + 86
57.927 * * [simplify]: Extracting #3: cost 46 inf + 874
57.928 * * [simplify]: Extracting #4: cost 20 inf + 4429
57.930 * * [simplify]: Extracting #5: cost 0 inf + 8215
57.932 * [simplify]: Simplified to (/ U (/ 2 (/ (/ U J) (cos (/ K 2)))))
57.932 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (/ (/ U (/ 2 (/ (/ U J) (cos (/ K 2))))) (* 2 (* (cos (/ K 2)) J))) 1)) -2) (* (cos (/ K 2)) J)))
57.933 * * * * [progress]: [ 110 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (/ (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) 1)) -2) (* (cos (/ K 2)) J)))>
57.933 * [simplify]: Simplifying (* U (/ U (* 2 (* (cos (/ K 2)) J))))
57.933 * * [simplify]: iters left: 6 (10 enodes)
57.935 * * [simplify]: iters left: 5 (39 enodes)
57.942 * * [simplify]: iters left: 4 (75 enodes)
57.963 * * [simplify]: iters left: 3 (155 enodes)
58.015 * * [simplify]: iters left: 2 (219 enodes)
58.087 * * [simplify]: iters left: 1 (271 enodes)
58.156 * * [simplify]: Extracting #0: cost 1 inf + 0
58.156 * * [simplify]: Extracting #1: cost 34 inf + 0
58.156 * * [simplify]: Extracting #2: cost 57 inf + 86
58.157 * * [simplify]: Extracting #3: cost 46 inf + 874
58.158 * * [simplify]: Extracting #4: cost 20 inf + 4429
58.162 * * [simplify]: Extracting #5: cost 0 inf + 8215
58.167 * [simplify]: Simplified to (/ U (/ 2 (/ (/ U J) (cos (/ K 2)))))
58.167 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (/ (/ U (/ 2 (/ (/ U J) (cos (/ K 2))))) (* 2 (* (cos (/ K 2)) J))) 1)) -2) (* (cos (/ K 2)) J)))
58.167 * * * * [progress]: [ 111 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (posit16->real (real->posit16 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
58.167 * [simplify]: Simplifying (real->posit16 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))
58.167 * * [simplify]: iters left: 6 (11 enodes)
58.173 * * [simplify]: iters left: 5 (40 enodes)
58.187 * * [simplify]: iters left: 4 (91 enodes)
58.218 * * [simplify]: iters left: 3 (345 enodes)
58.452 * * [simplify]: Extracting #0: cost 1 inf + 0
58.452 * * [simplify]: Extracting #1: cost 2 inf + 0
58.452 * * [simplify]: Extracting #2: cost 118 inf + 0
58.459 * * [simplify]: Extracting #3: cost 233 inf + 169
58.462 * * [simplify]: Extracting #4: cost 199 inf + 3170
58.472 * * [simplify]: Extracting #5: cost 105 inf + 22163
58.498 * * [simplify]: Extracting #6: cost 4 inf + 45950
58.528 * * [simplify]: Extracting #7: cost 0 inf + 46601
58.548 * * [simplify]: Extracting #8: cost 0 inf + 46561
58.564 * [simplify]: Simplified to (real->posit16 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))
58.564 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (posit16->real (real->posit16 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) 1)) -2) (* (cos (/ K 2)) J)))
58.564 * * * * [progress]: [ 112 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))>
58.564 * * * * [progress]: [ 113 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (pow (/ U (* 2 (* (cos (/ K 2)) J))) 1)) 1)) -2) (* (cos (/ K 2)) J)))>
58.564 * * * * [progress]: [ 114 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (exp (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
58.564 * [simplify]: Simplifying (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))
58.564 * * [simplify]: iters left: 6 (13 enodes)
58.568 * * [simplify]: iters left: 5 (47 enodes)
58.577 * * [simplify]: iters left: 4 (77 enodes)
58.591 * * [simplify]: iters left: 3 (144 enodes)
58.644 * * [simplify]: iters left: 2 (248 enodes)
58.725 * * [simplify]: iters left: 1 (393 enodes)
58.893 * * [simplify]: Extracting #0: cost 1 inf + 0
58.894 * * [simplify]: Extracting #1: cost 46 inf + 0
58.894 * * [simplify]: Extracting #2: cost 86 inf + 0
58.895 * * [simplify]: Extracting #3: cost 81 inf + 327
58.897 * * [simplify]: Extracting #4: cost 63 inf + 3843
58.899 * * [simplify]: Extracting #5: cost 48 inf + 6874
58.903 * * [simplify]: Extracting #6: cost 29 inf + 12388
58.911 * * [simplify]: Extracting #7: cost 5 inf + 21280
58.921 * * [simplify]: Extracting #8: cost 0 inf + 23246
58.931 * [simplify]: Simplified to (- (- (log U) (log (cos (/ K 2)))) (+ (log 2) (log J)))
58.931 * [simplify]: Simplified (2 1 1 1 1 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (exp (- (- (log U) (log (cos (/ K 2)))) (+ (log 2) (log J))))) 1)) -2) (* (cos (/ K 2)) J)))
58.931 * * * * [progress]: [ 115 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (exp (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
58.932 * [simplify]: Simplifying (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))
58.932 * * [simplify]: iters left: 6 (12 enodes)
58.938 * * [simplify]: iters left: 5 (45 enodes)
58.952 * * [simplify]: iters left: 4 (69 enodes)
58.967 * * [simplify]: iters left: 3 (118 enodes)
58.999 * * [simplify]: iters left: 2 (207 enodes)
59.072 * * [simplify]: iters left: 1 (350 enodes)
59.190 * * [simplify]: Extracting #0: cost 1 inf + 0
59.190 * * [simplify]: Extracting #1: cost 45 inf + 0
59.191 * * [simplify]: Extracting #2: cost 82 inf + 0
59.191 * * [simplify]: Extracting #3: cost 78 inf + 327
59.192 * * [simplify]: Extracting #4: cost 69 inf + 1863
59.193 * * [simplify]: Extracting #5: cost 48 inf + 6419
59.194 * * [simplify]: Extracting #6: cost 41 inf + 7585
59.196 * * [simplify]: Extracting #7: cost 17 inf + 14546
59.200 * * [simplify]: Extracting #8: cost 1 inf + 20084
59.204 * * [simplify]: Extracting #9: cost 0 inf + 20477
59.208 * [simplify]: Simplified to (- (log U) (+ (log 2) (log (* J (cos (/ K 2))))))
59.208 * [simplify]: Simplified (2 1 1 1 1 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (exp (- (log U) (+ (log 2) (log (* J (cos (/ K 2)))))))) 1)) -2) (* (cos (/ K 2)) J)))
59.208 * * * * [progress]: [ 116 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (exp (- (log U) (log (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
59.208 * [simplify]: Simplifying (- (log U) (log (* 2 (* (cos (/ K 2)) J))))
59.209 * * [simplify]: iters left: 6 (11 enodes)
59.212 * * [simplify]: iters left: 5 (42 enodes)
59.218 * * [simplify]: iters left: 4 (69 enodes)
59.240 * * [simplify]: iters left: 3 (114 enodes)
59.257 * * [simplify]: iters left: 2 (185 enodes)
59.296 * * [simplify]: iters left: 1 (294 enodes)
59.398 * * [simplify]: Extracting #0: cost 1 inf + 0
59.398 * * [simplify]: Extracting #1: cost 53 inf + 0
59.398 * * [simplify]: Extracting #2: cost 107 inf + 0
59.399 * * [simplify]: Extracting #3: cost 105 inf + 438
59.400 * * [simplify]: Extracting #4: cost 82 inf + 4343
59.401 * * [simplify]: Extracting #5: cost 61 inf + 8280
59.406 * * [simplify]: Extracting #6: cost 11 inf + 23318
59.411 * * [simplify]: Extracting #7: cost 0 inf + 26788
59.415 * * [simplify]: Extracting #8: cost 0 inf + 26718
59.422 * [simplify]: Simplified to (- (log U) (log (* (cos (/ K 2)) (* J 2))))
59.423 * [simplify]: Simplified (2 1 1 1 1 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (exp (- (log U) (log (* (cos (/ K 2)) (* J 2)))))) 1)) -2) (* (cos (/ K 2)) J)))
59.423 * * * * [progress]: [ 117 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (exp (log (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
59.423 * [simplify]: Simplifying (log (/ U (* 2 (* (cos (/ K 2)) J))))
59.423 * * [simplify]: iters left: 6 (10 enodes)
59.429 * * [simplify]: iters left: 5 (39 enodes)
59.441 * * [simplify]: iters left: 4 (72 enodes)
59.463 * * [simplify]: iters left: 3 (135 enodes)
59.501 * * [simplify]: iters left: 2 (201 enodes)
59.565 * * [simplify]: iters left: 1 (283 enodes)
59.647 * * [simplify]: Extracting #0: cost 1 inf + 0
59.648 * * [simplify]: Extracting #1: cost 60 inf + 0
59.648 * * [simplify]: Extracting #2: cost 113 inf + 0
59.649 * * [simplify]: Extracting #3: cost 121 inf + 74
59.650 * * [simplify]: Extracting #4: cost 100 inf + 2545
59.653 * * [simplify]: Extracting #5: cost 66 inf + 8323
59.658 * * [simplify]: Extracting #6: cost 36 inf + 15460
59.667 * * [simplify]: Extracting #7: cost 3 inf + 25755
59.674 * * [simplify]: Extracting #8: cost 0 inf + 26954
59.678 * [simplify]: Simplified to (log (/ (/ U 2) (* (cos (/ K 2)) J)))
59.679 * [simplify]: Simplified (2 1 1 1 1 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (exp (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J)))
59.679 * * * * [progress]: [ 118 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (log (exp (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
59.679 * [simplify]: Simplifying (exp (/ U (* 2 (* (cos (/ K 2)) J))))
59.679 * * [simplify]: iters left: 6 (10 enodes)
59.682 * * [simplify]: iters left: 5 (36 enodes)
59.687 * * [simplify]: iters left: 4 (54 enodes)
59.695 * * [simplify]: iters left: 3 (73 enodes)
59.705 * * [simplify]: iters left: 2 (80 enodes)
59.715 * * [simplify]: Extracting #0: cost 1 inf + 0
59.715 * * [simplify]: Extracting #1: cost 4 inf + 0
59.715 * * [simplify]: Extracting #2: cost 16 inf + 0
59.715 * * [simplify]: Extracting #3: cost 25 inf + 3
59.716 * * [simplify]: Extracting #4: cost 26 inf + 295
59.716 * * [simplify]: Extracting #5: cost 12 inf + 2073
59.717 * * [simplify]: Extracting #6: cost 0 inf + 4210
59.719 * [simplify]: Simplified to (sqrt (exp (/ (/ U J) (cos (/ K 2)))))
59.719 * [simplify]: Simplified (2 1 1 1 1 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (log (sqrt (exp (/ (/ U J) (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J)))
59.719 * * * * [progress]: [ 119 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (cbrt (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
59.720 * [simplify]: Simplifying (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))))
59.720 * * [simplify]: iters left: 6 (17 enodes)
59.727 * * [simplify]: iters left: 5 (74 enodes)
59.742 * * [simplify]: iters left: 4 (221 enodes)
59.850 * * [simplify]: Extracting #0: cost 1 inf + 0
59.851 * * [simplify]: Extracting #1: cost 151 inf + 0
59.852 * * [simplify]: Extracting #2: cost 313 inf + 2161
59.855 * * [simplify]: Extracting #3: cost 256 inf + 10053
59.861 * * [simplify]: Extracting #4: cost 232 inf + 12920
59.877 * * [simplify]: Extracting #5: cost 159 inf + 34305
59.916 * * [simplify]: Extracting #6: cost 14 inf + 78294
59.936 * * [simplify]: Extracting #7: cost 0 inf + 80108
59.968 * * [simplify]: Extracting #8: cost 0 inf + 77828
60.007 * * [simplify]: Extracting #9: cost 0 inf + 77668
60.032 * [simplify]: Simplified to (/ (* U (/ (* U U) 8)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))
60.032 * [simplify]: Simplified (2 1 1 1 1 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (cbrt (/ (* U (/ (* U U) 8)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))))) 1)) -2) (* (cos (/ K 2)) J)))
60.032 * * * * [progress]: [ 120 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (cbrt (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
60.032 * [simplify]: Simplifying (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))
60.033 * * [simplify]: iters left: 6 (15 enodes)
60.039 * * [simplify]: iters left: 5 (72 enodes)
60.056 * * [simplify]: iters left: 4 (224 enodes)
60.174 * * [simplify]: Extracting #0: cost 1 inf + 0
60.174 * * [simplify]: Extracting #1: cost 150 inf + 0
60.176 * * [simplify]: Extracting #2: cost 345 inf + 743
60.181 * * [simplify]: Extracting #3: cost 306 inf + 5022
60.194 * * [simplify]: Extracting #4: cost 151 inf + 41018
60.217 * * [simplify]: Extracting #5: cost 4 inf + 81801
60.256 * * [simplify]: Extracting #6: cost 0 inf + 82898
60.277 * [simplify]: Simplified to (/ (* (/ U 8) (* U U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))
60.277 * [simplify]: Simplified (2 1 1 1 1 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (cbrt (/ (* (/ U 8) (* U U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))))) 1)) -2) (* (cos (/ K 2)) J)))
60.277 * * * * [progress]: [ 121 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (cbrt (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
60.277 * [simplify]: Simplifying (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))
60.278 * * [simplify]: iters left: 6 (13 enodes)
60.281 * * [simplify]: iters left: 5 (62 enodes)
60.301 * * [simplify]: iters left: 4 (220 enodes)
60.480 * * [simplify]: Extracting #0: cost 1 inf + 0
60.480 * * [simplify]: Extracting #1: cost 187 inf + 0
60.481 * * [simplify]: Extracting #2: cost 415 inf + 704
60.484 * * [simplify]: Extracting #3: cost 392 inf + 4576
60.495 * * [simplify]: Extracting #4: cost 168 inf + 62729
60.540 * * [simplify]: Extracting #5: cost 8 inf + 107877
60.567 * * [simplify]: Extracting #6: cost 0 inf + 109747
60.617 * [simplify]: Simplified to (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))
60.617 * [simplify]: Simplified (2 1 1 1 1 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (cbrt (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 1)) -2) (* (cos (/ K 2)) J)))
60.617 * * * * [progress]: [ 122 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
60.617 * [simplify]: Simplifying (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))
60.618 * * [simplify]: iters left: 6 (11 enodes)
60.623 * * [simplify]: iters left: 5 (39 enodes)
60.637 * * [simplify]: iters left: 4 (57 enodes)
60.653 * * [simplify]: iters left: 3 (74 enodes)
60.672 * * [simplify]: iters left: 2 (79 enodes)
60.684 * * [simplify]: Extracting #0: cost 1 inf + 0
60.684 * * [simplify]: Extracting #1: cost 3 inf + 0
60.684 * * [simplify]: Extracting #2: cost 5 inf + 0
60.684 * * [simplify]: Extracting #3: cost 16 inf + 0
60.684 * * [simplify]: Extracting #4: cost 25 inf + 3
60.684 * * [simplify]: Extracting #5: cost 28 inf + 129
60.684 * * [simplify]: Extracting #6: cost 13 inf + 1889
60.685 * * [simplify]: Extracting #7: cost 3 inf + 3901
60.686 * * [simplify]: Extracting #8: cost 0 inf + 4410
60.686 * [simplify]: Simplified to (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))))
60.686 * [simplify]: Simplified (2 1 1 1 1 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))
60.687 * [simplify]: Simplifying (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))
60.687 * * [simplify]: iters left: 6 (10 enodes)
60.689 * * [simplify]: iters left: 5 (36 enodes)
60.696 * * [simplify]: iters left: 4 (54 enodes)
60.705 * * [simplify]: iters left: 3 (71 enodes)
60.723 * * [simplify]: iters left: 2 (76 enodes)
60.741 * * [simplify]: Extracting #0: cost 1 inf + 0
60.741 * * [simplify]: Extracting #1: cost 3 inf + 0
60.741 * * [simplify]: Extracting #2: cost 14 inf + 0
60.742 * * [simplify]: Extracting #3: cost 23 inf + 3
60.742 * * [simplify]: Extracting #4: cost 24 inf + 295
60.742 * * [simplify]: Extracting #5: cost 9 inf + 2499
60.744 * * [simplify]: Extracting #6: cost 0 inf + 3722
60.745 * [simplify]: Simplified to (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))
60.745 * [simplify]: Simplified (2 1 1 1 1 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))))) 1)) -2) (* (cos (/ K 2)) J)))
60.745 * * * * [progress]: [ 123 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (cbrt (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
60.746 * [simplify]: Simplifying (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))
60.746 * * [simplify]: iters left: 6 (11 enodes)
60.754 * * [simplify]: iters left: 5 (46 enodes)
60.767 * * [simplify]: iters left: 4 (129 enodes)
60.860 * * [simplify]: Extracting #0: cost 1 inf + 0
60.860 * * [simplify]: Extracting #1: cost 102 inf + 0
60.861 * * [simplify]: Extracting #2: cost 268 inf + 301
60.862 * * [simplify]: Extracting #3: cost 246 inf + 2709
60.865 * * [simplify]: Extracting #4: cost 177 inf + 19822
60.879 * * [simplify]: Extracting #5: cost 14 inf + 67936
60.894 * * [simplify]: Extracting #6: cost 0 inf + 71991
60.925 * [simplify]: Simplified to (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))
60.925 * [simplify]: Simplified (2 1 1 1 1 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (cbrt (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J)))
60.925 * * * * [progress]: [ 124 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
60.926 * [simplify]: Simplifying (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))
60.926 * * [simplify]: iters left: 6 (10 enodes)
60.931 * * [simplify]: iters left: 5 (36 enodes)
60.942 * * [simplify]: iters left: 4 (54 enodes)
60.960 * * [simplify]: iters left: 3 (71 enodes)
60.978 * * [simplify]: iters left: 2 (76 enodes)
60.996 * * [simplify]: Extracting #0: cost 1 inf + 0
60.996 * * [simplify]: Extracting #1: cost 3 inf + 0
60.996 * * [simplify]: Extracting #2: cost 14 inf + 0
60.996 * * [simplify]: Extracting #3: cost 23 inf + 3
60.997 * * [simplify]: Extracting #4: cost 24 inf + 295
60.998 * * [simplify]: Extracting #5: cost 9 inf + 2419
60.999 * * [simplify]: Extracting #6: cost 0 inf + 3642
61.000 * [simplify]: Simplified to (sqrt (/ (/ U (* J 2)) (cos (/ K 2))))
61.000 * [simplify]: Simplified (2 1 1 1 1 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))
61.001 * [simplify]: Simplifying (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))
61.001 * * [simplify]: iters left: 6 (10 enodes)
61.006 * * [simplify]: iters left: 5 (36 enodes)
61.016 * * [simplify]: iters left: 4 (54 enodes)
61.025 * * [simplify]: iters left: 3 (71 enodes)
61.034 * * [simplify]: iters left: 2 (76 enodes)
61.043 * * [simplify]: Extracting #0: cost 1 inf + 0
61.043 * * [simplify]: Extracting #1: cost 3 inf + 0
61.043 * * [simplify]: Extracting #2: cost 14 inf + 0
61.043 * * [simplify]: Extracting #3: cost 23 inf + 3
61.043 * * [simplify]: Extracting #4: cost 24 inf + 295
61.044 * * [simplify]: Extracting #5: cost 9 inf + 2419
61.044 * * [simplify]: Extracting #6: cost 0 inf + 3642
61.045 * [simplify]: Simplified to (sqrt (/ (/ U (* J 2)) (cos (/ K 2))))
61.045 * [simplify]: Simplified (2 1 1 1 1 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))))) 1)) -2) (* (cos (/ K 2)) J)))
61.045 * * * * [progress]: [ 125 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ (- U) (- (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J)))>
61.045 * [simplify]: Simplifying (- U)
61.045 * * [simplify]: iters left: 2 (2 enodes)
61.046 * * [simplify]: iters left: 1 (6 enodes)
61.046 * * [simplify]: Extracting #0: cost 1 inf + 0
61.046 * * [simplify]: Extracting #1: cost 3 inf + 0
61.047 * * [simplify]: Extracting #2: cost 2 inf + 1
61.047 * * [simplify]: Extracting #3: cost 0 inf + 83
61.047 * [simplify]: Simplified to (- U)
61.047 * [simplify]: Simplified (2 1 1 1 1 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ (- U) (- (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J)))
61.047 * [simplify]: Simplifying (- (* 2 (* (cos (/ K 2)) J)))
61.047 * * [simplify]: iters left: 6 (8 enodes)
61.052 * * [simplify]: iters left: 5 (33 enodes)
61.063 * * [simplify]: iters left: 4 (56 enodes)
61.082 * * [simplify]: iters left: 3 (86 enodes)
61.105 * * [simplify]: iters left: 2 (88 enodes)
61.122 * * [simplify]: Extracting #0: cost 1 inf + 0
61.122 * * [simplify]: Extracting #1: cost 15 inf + 0
61.122 * * [simplify]: Extracting #2: cost 20 inf + 168
61.122 * * [simplify]: Extracting #3: cost 19 inf + 293
61.123 * * [simplify]: Extracting #4: cost 18 inf + 254
61.123 * * [simplify]: Extracting #5: cost 9 inf + 1378
61.123 * * [simplify]: Extracting #6: cost 0 inf + 2782
61.124 * [simplify]: Simplified to (* (* -2 J) (cos (/ K 2)))
61.124 * [simplify]: Simplified (2 1 1 1 1 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ (- U) (* (* -2 J) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J)))
61.124 * * * * [progress]: [ 126 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ (* (cbrt U) (cbrt U)) 2) (/ (cbrt U) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))>
61.124 * [simplify]: Simplifying (/ (* (cbrt U) (cbrt U)) 2)
61.124 * * [simplify]: iters left: 5 (5 enodes)
61.126 * * [simplify]: iters left: 4 (17 enodes)
61.128 * * [simplify]: iters left: 3 (21 enodes)
61.132 * * [simplify]: iters left: 2 (24 enodes)
61.135 * * [simplify]: Extracting #0: cost 1 inf + 0
61.135 * * [simplify]: Extracting #1: cost 7 inf + 0
61.135 * * [simplify]: Extracting #2: cost 11 inf + 1
61.135 * * [simplify]: Extracting #3: cost 10 inf + 2
61.135 * * [simplify]: Extracting #4: cost 0 inf + 1218
61.136 * [simplify]: Simplified to (/ (* (cbrt U) (cbrt U)) 2)
61.136 * [simplify]: Simplified (2 1 1 1 1 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ (* (cbrt U) (cbrt U)) 2) (/ (cbrt U) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))
61.136 * [simplify]: Simplifying (/ (cbrt U) (* (cos (/ K 2)) J))
61.136 * * [simplify]: iters left: 6 (9 enodes)
61.138 * * [simplify]: iters left: 5 (30 enodes)
61.143 * * [simplify]: iters left: 4 (34 enodes)
61.147 * * [simplify]: iters left: 3 (36 enodes)
61.154 * * [simplify]: Extracting #0: cost 1 inf + 0
61.154 * * [simplify]: Extracting #1: cost 8 inf + 0
61.154 * * [simplify]: Extracting #2: cost 14 inf + 1
61.154 * * [simplify]: Extracting #3: cost 16 inf + 2
61.154 * * [simplify]: Extracting #4: cost 11 inf + 288
61.155 * * [simplify]: Extracting #5: cost 5 inf + 962
61.155 * * [simplify]: Extracting #6: cost 0 inf + 1958
61.156 * [simplify]: Simplified to (/ (/ (cbrt U) (cos (/ K 2))) J)
61.156 * [simplify]: Simplified (2 1 1 1 1 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ (* (cbrt U) (cbrt U)) 2) (/ (/ (cbrt U) (cos (/ K 2))) J))) 1)) -2) (* (cos (/ K 2)) J)))
61.156 * * * * [progress]: [ 127 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ (sqrt U) 2) (/ (sqrt U) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))>
61.156 * [simplify]: Simplifying (/ (sqrt U) 2)
61.157 * * [simplify]: iters left: 3 (4 enodes)
61.159 * * [simplify]: iters left: 2 (12 enodes)
61.163 * * [simplify]: Extracting #0: cost 1 inf + 0
61.163 * * [simplify]: Extracting #1: cost 4 inf + 0
61.163 * * [simplify]: Extracting #2: cost 5 inf + 1
61.163 * * [simplify]: Extracting #3: cost 4 inf + 2
61.163 * * [simplify]: Extracting #4: cost 0 inf + 248
61.163 * [simplify]: Simplified to (/ (sqrt U) 2)
61.163 * [simplify]: Simplified (2 1 1 1 1 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ (sqrt U) 2) (/ (sqrt U) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))
61.164 * [simplify]: Simplifying (/ (sqrt U) (* (cos (/ K 2)) J))
61.164 * * [simplify]: iters left: 6 (9 enodes)
61.168 * * [simplify]: iters left: 5 (30 enodes)
61.178 * * [simplify]: iters left: 4 (34 enodes)
61.187 * * [simplify]: iters left: 3 (36 enodes)
61.196 * * [simplify]: Extracting #0: cost 1 inf + 0
61.197 * * [simplify]: Extracting #1: cost 8 inf + 0
61.197 * * [simplify]: Extracting #2: cost 14 inf + 1
61.197 * * [simplify]: Extracting #3: cost 16 inf + 2
61.197 * * [simplify]: Extracting #4: cost 11 inf + 168
61.197 * * [simplify]: Extracting #5: cost 5 inf + 762
61.198 * * [simplify]: Extracting #6: cost 0 inf + 1638
61.200 * [simplify]: Simplified to (/ (/ (sqrt U) (cos (/ K 2))) J)
61.200 * [simplify]: Simplified (2 1 1 1 1 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ (sqrt U) 2) (/ (/ (sqrt U) (cos (/ K 2))) J))) 1)) -2) (* (cos (/ K 2)) J)))
61.200 * * * * [progress]: [ 128 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ 1 2) (/ U (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))>
61.201 * [simplify]: Simplifying (/ 1 2)
61.201 * * [simplify]: iters left: 2 (3 enodes)
61.204 * * [simplify]: iters left: 1 (12 enodes)
61.208 * * [simplify]: Extracting #0: cost 1 inf + 0
61.208 * * [simplify]: Extracting #1: cost 0 inf + 1
61.208 * [simplify]: Simplified to 1/2
61.208 * [simplify]: Simplified (2 1 1 1 1 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (* 1/2 (/ U (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))
61.208 * [simplify]: Simplifying (/ U (* (cos (/ K 2)) J))
61.209 * * [simplify]: iters left: 6 (8 enodes)
61.212 * * [simplify]: iters left: 5 (27 enodes)
61.220 * * [simplify]: iters left: 4 (31 enodes)
61.226 * * [simplify]: iters left: 3 (33 enodes)
61.230 * * [simplify]: Extracting #0: cost 1 inf + 0
61.230 * * [simplify]: Extracting #1: cost 8 inf + 0
61.230 * * [simplify]: Extracting #2: cost 11 inf + 2
61.230 * * [simplify]: Extracting #3: cost 12 inf + 86
61.230 * * [simplify]: Extracting #4: cost 9 inf + 130
61.231 * * [simplify]: Extracting #5: cost 1 inf + 1132
61.231 * * [simplify]: Extracting #6: cost 0 inf + 1316
61.231 * [simplify]: Simplified to (/ (/ U J) (cos (/ K 2)))
61.231 * [simplify]: Simplified (2 1 1 1 1 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (* 1/2 (/ (/ U J) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J)))
61.231 * * * * [progress]: [ 129 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (* 1 (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J)))>
61.231 * * * * [progress]: [ 130 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (* U (/ 1 (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J)))>
61.231 * [simplify]: Simplifying (/ 1 (* 2 (* (cos (/ K 2)) J)))
61.232 * * [simplify]: iters left: 6 (9 enodes)
61.234 * * [simplify]: iters left: 5 (36 enodes)
61.240 * * [simplify]: iters left: 4 (56 enodes)
61.249 * * [simplify]: iters left: 3 (72 enodes)
61.260 * * [simplify]: iters left: 2 (76 enodes)
61.270 * * [simplify]: Extracting #0: cost 1 inf + 0
61.270 * * [simplify]: Extracting #1: cost 12 inf + 0
61.270 * * [simplify]: Extracting #2: cost 18 inf + 46
61.270 * * [simplify]: Extracting #3: cost 21 inf + 172
61.270 * * [simplify]: Extracting #4: cost 12 inf + 1055
61.271 * * [simplify]: Extracting #5: cost 2 inf + 2464
61.271 * * [simplify]: Extracting #6: cost 0 inf + 2789
61.272 * [simplify]: Simplified to (/ (/ 1/2 J) (cos (/ K 2)))
61.272 * [simplify]: Simplified (2 1 1 1 1 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (* U (/ (/ 1/2 J) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J)))
61.272 * * * * [progress]: [ 131 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ 1 (/ (* 2 (* (cos (/ K 2)) J)) U))) 1)) -2) (* (cos (/ K 2)) J)))>
61.272 * [simplify]: Simplifying (/ (* 2 (* (cos (/ K 2)) J)) U)
61.272 * * [simplify]: iters left: 6 (9 enodes)
61.274 * * [simplify]: iters left: 5 (33 enodes)
61.280 * * [simplify]: iters left: 4 (52 enodes)
61.287 * * [simplify]: iters left: 3 (80 enodes)
61.310 * * [simplify]: iters left: 2 (112 enodes)
61.340 * * [simplify]: iters left: 1 (125 enodes)
61.374 * * [simplify]: Extracting #0: cost 1 inf + 0
61.375 * * [simplify]: Extracting #1: cost 23 inf + 0
61.375 * * [simplify]: Extracting #2: cost 37 inf + 45
61.375 * * [simplify]: Extracting #3: cost 29 inf + 588
61.376 * * [simplify]: Extracting #4: cost 25 inf + 756
61.377 * * [simplify]: Extracting #5: cost 12 inf + 2573
61.379 * * [simplify]: Extracting #6: cost 0 inf + 4652
61.381 * [simplify]: Simplified to (* (cos (/ K 2)) (/ (* J 2) U))
61.382 * [simplify]: Simplified (2 1 1 1 1 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ 1 (* (cos (/ K 2)) (/ (* J 2) U)))) 1)) -2) (* (cos (/ K 2)) J)))
61.382 * * * * [progress]: [ 132 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) -2) (* (cos (/ K 2)) J)))>
61.382 * [simplify]: Simplifying (/ U 2)
61.382 * * [simplify]: iters left: 2 (3 enodes)
61.384 * * [simplify]: iters left: 1 (9 enodes)
61.387 * * [simplify]: Extracting #0: cost 1 inf + 0
61.387 * * [simplify]: Extracting #1: cost 4 inf + 0
61.387 * * [simplify]: Extracting #2: cost 2 inf + 2
61.387 * * [simplify]: Extracting #3: cost 0 inf + 86
61.387 * [simplify]: Simplified to (/ U 2)
61.387 * [simplify]: Simplified (2 1 1 1 1 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) -2) (* (cos (/ K 2)) J)))
61.388 * * * * [progress]: [ 133 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ (* (cbrt U) (cbrt U)) (/ (* 2 (* (cos (/ K 2)) J)) (cbrt U)))) 1)) -2) (* (cos (/ K 2)) J)))>
61.388 * [simplify]: Simplifying (/ (* 2 (* (cos (/ K 2)) J)) (cbrt U))
61.388 * * [simplify]: iters left: 6 (10 enodes)
61.393 * * [simplify]: iters left: 5 (36 enodes)
61.403 * * [simplify]: iters left: 4 (55 enodes)
61.411 * * [simplify]: iters left: 3 (82 enodes)
61.425 * * [simplify]: iters left: 2 (114 enodes)
61.444 * * [simplify]: iters left: 1 (128 enodes)
61.482 * * [simplify]: Extracting #0: cost 1 inf + 0
61.482 * * [simplify]: Extracting #1: cost 23 inf + 0
61.483 * * [simplify]: Extracting #2: cost 41 inf + 2
61.483 * * [simplify]: Extracting #3: cost 34 inf + 858
61.483 * * [simplify]: Extracting #4: cost 26 inf + 1756
61.484 * * [simplify]: Extracting #5: cost 14 inf + 3932
61.485 * * [simplify]: Extracting #6: cost 1 inf + 6751
61.486 * * [simplify]: Extracting #7: cost 0 inf + 6974
61.487 * [simplify]: Simplified to (* (/ (* J 2) (cbrt U)) (cos (/ K 2)))
61.487 * [simplify]: Simplified (2 1 1 1 1 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ (* (cbrt U) (cbrt U)) (* (/ (* J 2) (cbrt U)) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J)))
61.488 * * * * [progress]: [ 134 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ (sqrt U) (/ (* 2 (* (cos (/ K 2)) J)) (sqrt U)))) 1)) -2) (* (cos (/ K 2)) J)))>
61.488 * [simplify]: Simplifying (/ (* 2 (* (cos (/ K 2)) J)) (sqrt U))
61.488 * * [simplify]: iters left: 6 (10 enodes)
61.490 * * [simplify]: iters left: 5 (36 enodes)
61.496 * * [simplify]: iters left: 4 (55 enodes)
61.504 * * [simplify]: iters left: 3 (82 enodes)
61.524 * * [simplify]: iters left: 2 (114 enodes)
61.548 * * [simplify]: iters left: 1 (128 enodes)
61.568 * * [simplify]: Extracting #0: cost 1 inf + 0
61.569 * * [simplify]: Extracting #1: cost 23 inf + 0
61.569 * * [simplify]: Extracting #2: cost 41 inf + 2
61.569 * * [simplify]: Extracting #3: cost 34 inf + 578
61.570 * * [simplify]: Extracting #4: cost 26 inf + 1236
61.571 * * [simplify]: Extracting #5: cost 14 inf + 3132
61.574 * * [simplify]: Extracting #6: cost 1 inf + 5631
61.576 * * [simplify]: Extracting #7: cost 0 inf + 5814
61.579 * [simplify]: Simplified to (* (/ (* J 2) (sqrt U)) (cos (/ K 2)))
61.579 * [simplify]: Simplified (2 1 1 1 1 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ (sqrt U) (* (/ (* J 2) (sqrt U)) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J)))
61.579 * * * * [progress]: [ 135 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ 1 (/ (* 2 (* (cos (/ K 2)) J)) U))) 1)) -2) (* (cos (/ K 2)) J)))>
61.580 * [simplify]: Simplifying (/ (* 2 (* (cos (/ K 2)) J)) U)
61.580 * * [simplify]: iters left: 6 (9 enodes)
61.584 * * [simplify]: iters left: 5 (33 enodes)
61.595 * * [simplify]: iters left: 4 (52 enodes)
61.610 * * [simplify]: iters left: 3 (80 enodes)
61.636 * * [simplify]: iters left: 2 (112 enodes)
61.664 * * [simplify]: iters left: 1 (125 enodes)
61.681 * * [simplify]: Extracting #0: cost 1 inf + 0
61.682 * * [simplify]: Extracting #1: cost 23 inf + 0
61.682 * * [simplify]: Extracting #2: cost 37 inf + 45
61.682 * * [simplify]: Extracting #3: cost 29 inf + 588
61.682 * * [simplify]: Extracting #4: cost 25 inf + 756
61.683 * * [simplify]: Extracting #5: cost 12 inf + 2573
61.684 * * [simplify]: Extracting #6: cost 0 inf + 4652
61.685 * [simplify]: Simplified to (* (cos (/ K 2)) (/ (* J 2) U))
61.685 * [simplify]: Simplified (2 1 1 1 1 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ 1 (* (cos (/ K 2)) (/ (* J 2) U)))) 1)) -2) (* (cos (/ K 2)) J)))
61.685 * * * * [progress]: [ 136 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (posit16->real (real->posit16 (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))>
61.686 * [simplify]: Simplifying (real->posit16 (/ U (* 2 (* (cos (/ K 2)) J))))
61.686 * * [simplify]: iters left: 6 (10 enodes)
61.688 * * [simplify]: iters left: 5 (33 enodes)
61.693 * * [simplify]: iters left: 4 (51 enodes)
61.703 * * [simplify]: iters left: 3 (68 enodes)
61.713 * * [simplify]: iters left: 2 (73 enodes)
61.722 * * [simplify]: Extracting #0: cost 1 inf + 0
61.722 * * [simplify]: Extracting #1: cost 2 inf + 0
61.722 * * [simplify]: Extracting #2: cost 12 inf + 0
61.722 * * [simplify]: Extracting #3: cost 21 inf + 3
61.722 * * [simplify]: Extracting #4: cost 22 inf + 295
61.723 * * [simplify]: Extracting #5: cost 11 inf + 1483
61.723 * * [simplify]: Extracting #6: cost 0 inf + 3114
61.724 * [simplify]: Simplified to (real->posit16 (/ (/ U (* J 2)) (cos (/ K 2))))
61.724 * [simplify]: Simplified (2 1 1 1 1 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (posit16->real (real->posit16 (/ (/ U (* J 2)) (cos (/ K 2)))))) 1)) -2) (* (cos (/ K 2)) J)))
61.724 * * * * [progress]: [ 137 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* 1 -2) (* (cos (/ K 2)) J)))>
61.724 * [simplify]: Simplifying 1
61.724 * * [simplify]: iters left: 0 (1 enodes)
61.725 * * [simplify]: Extracting #0: cost 1 inf + 0
61.725 * * [simplify]: Extracting #1: cost 0 inf + 1
61.725 * [simplify]: Simplified to 1
61.725 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* 1 -2) (* (cos (/ K 2)) J)))
61.725 * * * * [progress]: [ 138 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) -2) (* (cos (/ K 2)) J)))>
61.725 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
61.725 * * [simplify]: iters left: 6 (9 enodes)
61.728 * * [simplify]: iters left: 5 (34 enodes)
61.733 * * [simplify]: iters left: 4 (56 enodes)
61.742 * * [simplify]: iters left: 3 (90 enodes)
61.764 * * [simplify]: iters left: 2 (114 enodes)
61.779 * * [simplify]: iters left: 1 (131 enodes)
61.809 * * [simplify]: Extracting #0: cost 1 inf + 0
61.809 * * [simplify]: Extracting #1: cost 22 inf + 0
61.810 * * [simplify]: Extracting #2: cost 37 inf + 3
61.810 * * [simplify]: Extracting #3: cost 31 inf + 380
61.811 * * [simplify]: Extracting #4: cost 17 inf + 1834
61.813 * * [simplify]: Extracting #5: cost 3 inf + 4117
61.815 * * [simplify]: Extracting #6: cost 0 inf + 4586
61.817 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K)))
61.817 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J)))
61.817 * * * * [progress]: [ 139 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) -2) (* (cos (/ K 2)) J)))>
61.817 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
61.818 * * [simplify]: iters left: 6 (9 enodes)
61.822 * * [simplify]: iters left: 5 (34 enodes)
61.833 * * [simplify]: iters left: 4 (56 enodes)
61.848 * * [simplify]: iters left: 3 (90 enodes)
61.871 * * [simplify]: iters left: 2 (114 enodes)
61.897 * * [simplify]: iters left: 1 (131 enodes)
61.916 * * [simplify]: Extracting #0: cost 1 inf + 0
61.916 * * [simplify]: Extracting #1: cost 22 inf + 0
61.916 * * [simplify]: Extracting #2: cost 37 inf + 3
61.917 * * [simplify]: Extracting #3: cost 31 inf + 380
61.917 * * [simplify]: Extracting #4: cost 17 inf + 1834
61.918 * * [simplify]: Extracting #5: cost 3 inf + 4117
61.920 * * [simplify]: Extracting #6: cost 0 inf + 4586
61.921 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K)))
61.921 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J)))
61.921 * * * * [progress]: [ 140 / 148 ] simplifiying candidate #<alt (λ (J K U) (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))))>
61.921 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J))))
61.921 * * [simplify]: iters left: 6 (10 enodes)
61.926 * * [simplify]: iters left: 5 (43 enodes)
61.942 * * [simplify]: iters left: 4 (79 enodes)
61.965 * * [simplify]: iters left: 3 (118 enodes)
61.983 * * [simplify]: iters left: 2 (171 enodes)
62.024 * * [simplify]: iters left: 1 (241 enodes)
62.091 * * [simplify]: Extracting #0: cost 1 inf + 0
62.091 * * [simplify]: Extracting #1: cost 6 inf + 0
62.092 * * [simplify]: Extracting #2: cost 41 inf + 0
62.092 * * [simplify]: Extracting #3: cost 56 inf + 213
62.094 * * [simplify]: Extracting #4: cost 20 inf + 2774
62.096 * * [simplify]: Extracting #5: cost 2 inf + 4494
62.099 * * [simplify]: Extracting #6: cost 0 inf + 4698
62.102 * [simplify]: Simplified to (- (* -2 J) (/ (* U U) (/ J 1/4)))
62.102 * [simplify]: Simplified (2) to (λ (J K U) (- (* -2 J) (/ (* U U) (/ J 1/4))))
62.102 * * * * [progress]: [ 141 / 148 ] simplifiying candidate #<alt (λ (J K U) (* -1 U))>
62.103 * [simplify]: Simplifying (* -1 U)
62.103 * * [simplify]: iters left: 2 (3 enodes)
62.105 * * [simplify]: iters left: 1 (11 enodes)
62.108 * * [simplify]: Extracting #0: cost 1 inf + 0
62.108 * * [simplify]: Extracting #1: cost 4 inf + 0
62.108 * * [simplify]: Extracting #2: cost 0 inf + 84
62.108 * [simplify]: Simplified to (- U)
62.108 * [simplify]: Simplified (2) to (λ (J K U) (- U))
62.108 * * * * [progress]: [ 142 / 148 ] simplifiying candidate #<alt (λ (J K U) (* -1 U))>
62.109 * [simplify]: Simplifying (* -1 U)
62.109 * * [simplify]: iters left: 2 (3 enodes)
62.111 * * [simplify]: iters left: 1 (11 enodes)
62.112 * * [simplify]: Extracting #0: cost 1 inf + 0
62.112 * * [simplify]: Extracting #1: cost 4 inf + 0
62.112 * * [simplify]: Extracting #2: cost 0 inf + 84
62.112 * [simplify]: Simplified to (- U)
62.113 * [simplify]: Simplified (2) to (λ (J K U) (- U))
62.113 * * * * [progress]: [ 143 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (* (pow K 4) (pow U 2)) (pow J 2))))) 1)) -2) (* (cos (/ K 2)) J)))>
62.113 * [simplify]: Simplifying (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (* (pow K 4) (pow U 2)) (pow J 2)))))
62.113 * * [simplify]: iters left: 6 (22 enodes)
62.122 * * [simplify]: iters left: 5 (98 enodes)
62.141 * * [simplify]: iters left: 4 (205 enodes)
62.235 * * [simplify]: Extracting #0: cost 1 inf + 0
62.235 * * [simplify]: Extracting #1: cost 8 inf + 0
62.236 * * [simplify]: Extracting #2: cost 99 inf + 0
62.237 * * [simplify]: Extracting #3: cost 192 inf + 415
62.240 * * [simplify]: Extracting #4: cost 120 inf + 9005
62.249 * * [simplify]: Extracting #5: cost 11 inf + 25203
62.255 * * [simplify]: Extracting #6: cost 0 inf + 25797
62.262 * * [simplify]: Extracting #7: cost 0 inf + 25477
62.268 * [simplify]: Simplified to (+ (* 1/96 (* (/ (* K K) (/ J U)) (/ (* K K) (/ J U)))) (+ (* 1/4 (* (/ U J) (/ U J))) (* (* (/ (* K U) J) (/ (* K U) J)) 1/16)))
62.268 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (+ (* 1/96 (* (/ (* K K) (/ J U)) (/ (* K K) (/ J U)))) (+ (* 1/4 (* (/ U J) (/ U J))) (* (* (/ (* K U) J) (/ (* K U) J)) 1/16))) 1)) -2) (* (cos (/ K 2)) J)))
62.268 * * * * [progress]: [ 144 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) -2) (* (cos (/ K 2)) J)))>
62.269 * [simplify]: Simplifying (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
62.269 * * [simplify]: iters left: 6 (14 enodes)
62.276 * * [simplify]: iters left: 5 (60 enodes)
62.298 * * [simplify]: iters left: 4 (121 enodes)
62.360 * * [simplify]: iters left: 3 (407 enodes)
62.573 * * [simplify]: Extracting #0: cost 1 inf + 0
62.573 * * [simplify]: Extracting #1: cost 138 inf + 0
62.574 * * [simplify]: Extracting #2: cost 291 inf + 126
62.576 * * [simplify]: Extracting #3: cost 264 inf + 2517
62.580 * * [simplify]: Extracting #4: cost 155 inf + 22273
62.599 * * [simplify]: Extracting #5: cost 11 inf + 55309
62.613 * * [simplify]: Extracting #6: cost 0 inf + 57877
62.630 * [simplify]: Simplified to (/ 1/4 (* (* (/ J U) (cos (* 1/2 K))) (* (/ J U) (cos (* 1/2 K)))))
62.630 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (/ 1/4 (* (* (/ J U) (cos (* 1/2 K))) (* (/ J U) (cos (* 1/2 K))))) 1)) -2) (* (cos (/ K 2)) J)))
62.630 * * * * [progress]: [ 145 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) -2) (* (cos (/ K 2)) J)))>
62.631 * [simplify]: Simplifying (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
62.631 * * [simplify]: iters left: 6 (14 enodes)
62.639 * * [simplify]: iters left: 5 (60 enodes)
62.660 * * [simplify]: iters left: 4 (121 enodes)
62.719 * * [simplify]: iters left: 3 (407 enodes)
62.950 * * [simplify]: Extracting #0: cost 1 inf + 0
62.950 * * [simplify]: Extracting #1: cost 138 inf + 0
62.952 * * [simplify]: Extracting #2: cost 291 inf + 126
62.955 * * [simplify]: Extracting #3: cost 264 inf + 2517
62.964 * * [simplify]: Extracting #4: cost 155 inf + 22273
62.982 * * [simplify]: Extracting #5: cost 11 inf + 55309
62.996 * * [simplify]: Extracting #6: cost 0 inf + 57877
63.015 * [simplify]: Simplified to (/ 1/4 (* (* (/ J U) (cos (* 1/2 K))) (* (/ J U) (cos (* 1/2 K)))))
63.016 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (/ 1/4 (* (* (/ J U) (cos (* 1/2 K))) (* (/ J U) (cos (* 1/2 K))))) 1)) -2) (* (cos (/ K 2)) J)))
63.016 * * * * [progress]: [ 146 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))) 1)) -2) (* (cos (/ K 2)) J)))>
63.016 * [simplify]: Simplifying (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))
63.017 * * [simplify]: iters left: 6 (13 enodes)
63.024 * * [simplify]: iters left: 5 (54 enodes)
63.039 * * [simplify]: iters left: 4 (88 enodes)
63.053 * * [simplify]: iters left: 3 (151 enodes)
63.093 * * [simplify]: iters left: 2 (233 enodes)
63.145 * * [simplify]: iters left: 1 (354 enodes)
63.286 * * [simplify]: Extracting #0: cost 1 inf + 0
63.286 * * [simplify]: Extracting #1: cost 19 inf + 0
63.286 * * [simplify]: Extracting #2: cost 59 inf + 1
63.286 * * [simplify]: Extracting #3: cost 83 inf + 131
63.288 * * [simplify]: Extracting #4: cost 30 inf + 4263
63.290 * * [simplify]: Extracting #5: cost 1 inf + 8204
63.293 * * [simplify]: Extracting #6: cost 0 inf + 8409
63.295 * [simplify]: Simplified to (* (/ U J) (+ 1/2 (* (* K K) 1/16)))
63.296 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U J) (+ 1/2 (* (* K K) 1/16)))) 1)) -2) (* (cos (/ K 2)) J)))
63.296 * * * * [progress]: [ 147 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) 1)) -2) (* (cos (/ K 2)) J)))>
63.296 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
63.296 * * [simplify]: iters left: 6 (9 enodes)
63.298 * * [simplify]: iters left: 5 (34 enodes)
63.305 * * [simplify]: iters left: 4 (56 enodes)
63.316 * * [simplify]: iters left: 3 (90 enodes)
63.343 * * [simplify]: iters left: 2 (114 enodes)
63.373 * * [simplify]: iters left: 1 (131 enodes)
63.410 * * [simplify]: Extracting #0: cost 1 inf + 0
63.410 * * [simplify]: Extracting #1: cost 22 inf + 0
63.410 * * [simplify]: Extracting #2: cost 37 inf + 3
63.411 * * [simplify]: Extracting #3: cost 31 inf + 380
63.412 * * [simplify]: Extracting #4: cost 17 inf + 1834
63.414 * * [simplify]: Extracting #5: cost 3 inf + 4117
63.415 * * [simplify]: Extracting #6: cost 0 inf + 4586
63.416 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K)))
63.416 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ (/ U (/ J 1/2)) (cos (* 1/2 K)))) 1)) -2) (* (cos (/ K 2)) J)))
63.416 * * * * [progress]: [ 148 / 148 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) 1)) -2) (* (cos (/ K 2)) J)))>
63.417 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
63.417 * * [simplify]: iters left: 6 (9 enodes)
63.419 * * [simplify]: iters left: 5 (34 enodes)
63.424 * * [simplify]: iters left: 4 (56 enodes)
63.434 * * [simplify]: iters left: 3 (90 enodes)
63.450 * * [simplify]: iters left: 2 (114 enodes)
63.470 * * [simplify]: iters left: 1 (131 enodes)
63.489 * * [simplify]: Extracting #0: cost 1 inf + 0
63.489 * * [simplify]: Extracting #1: cost 22 inf + 0
63.489 * * [simplify]: Extracting #2: cost 37 inf + 3
63.489 * * [simplify]: Extracting #3: cost 31 inf + 380
63.490 * * [simplify]: Extracting #4: cost 17 inf + 1834
63.492 * * [simplify]: Extracting #5: cost 3 inf + 4117
63.494 * * [simplify]: Extracting #6: cost 0 inf + 4586
63.496 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K)))
63.496 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ (/ U (/ J 1/2)) (cos (* 1/2 K)))) 1)) -2) (* (cos (/ K 2)) J)))
63.497 * * * [progress]: adding candidates to table
65.429 * * [progress]: iteration 2 / 4
65.429 * * * [progress]: picking best candidate
65.460 * * * * [pick]: Picked  #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
65.460 * * * [progress]: localizing error
65.549 * * * [progress]: generating rewritten candidates
65.549 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1)
65.743 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 1)
65.928 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1)
66.082 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
66.409 * * * [progress]: generating series expansions
66.409 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1)
66.409 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
66.409 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0
66.409 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
66.410 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
66.410 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
66.410 * [taylor]: Taking taylor expansion of 1/4 in J
66.410 * [backup-simplify]: Simplify 1/4 into 1/4
66.410 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
66.410 * [taylor]: Taking taylor expansion of (pow U 2) in J
66.410 * [taylor]: Taking taylor expansion of U in J
66.410 * [backup-simplify]: Simplify U into U
66.410 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
66.410 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
66.410 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
66.410 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
66.410 * [taylor]: Taking taylor expansion of 1/2 in J
66.410 * [backup-simplify]: Simplify 1/2 into 1/2
66.410 * [taylor]: Taking taylor expansion of K in J
66.410 * [backup-simplify]: Simplify K into K
66.410 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
66.410 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
66.410 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
66.410 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
66.410 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
66.411 * [backup-simplify]: Simplify (- 0) into 0
66.411 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
66.411 * [taylor]: Taking taylor expansion of (pow J 2) in J
66.411 * [taylor]: Taking taylor expansion of J in J
66.411 * [backup-simplify]: Simplify 0 into 0
66.411 * [backup-simplify]: Simplify 1 into 1
66.411 * [backup-simplify]: Simplify (* U U) into (pow U 2)
66.411 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
66.411 * [backup-simplify]: Simplify (* 1 1) into 1
66.411 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
66.411 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
66.411 * [taylor]: Taking taylor expansion of 1 in J
66.411 * [backup-simplify]: Simplify 1 into 1
66.412 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
66.412 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
66.412 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
66.412 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
66.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.413 * [backup-simplify]: Simplify (+ 0) into 0
66.413 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
66.413 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
66.414 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.414 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
66.414 * [backup-simplify]: Simplify (- 0) into 0
66.415 * [backup-simplify]: Simplify (+ 0 0) into 0
66.415 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
66.415 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
66.415 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
66.416 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
66.416 * [backup-simplify]: Simplify (+ 0 0) into 0
66.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
66.416 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
66.416 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
66.416 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
66.416 * [taylor]: Taking taylor expansion of 1/4 in K
66.416 * [backup-simplify]: Simplify 1/4 into 1/4
66.416 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
66.416 * [taylor]: Taking taylor expansion of (pow U 2) in K
66.416 * [taylor]: Taking taylor expansion of U in K
66.416 * [backup-simplify]: Simplify U into U
66.416 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
66.416 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
66.416 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
66.416 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
66.416 * [taylor]: Taking taylor expansion of 1/2 in K
66.416 * [backup-simplify]: Simplify 1/2 into 1/2
66.416 * [taylor]: Taking taylor expansion of K in K
66.416 * [backup-simplify]: Simplify 0 into 0
66.416 * [backup-simplify]: Simplify 1 into 1
66.417 * [backup-simplify]: Simplify (* 1/2 0) into 0
66.417 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
66.417 * [taylor]: Taking taylor expansion of (pow J 2) in K
66.417 * [taylor]: Taking taylor expansion of J in K
66.417 * [backup-simplify]: Simplify J into J
66.417 * [backup-simplify]: Simplify (* U U) into (pow U 2)
66.417 * [backup-simplify]: Simplify (* 1 1) into 1
66.417 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.418 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
66.418 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
66.418 * [taylor]: Taking taylor expansion of 1 in K
66.418 * [backup-simplify]: Simplify 1 into 1
66.418 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
66.418 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
66.418 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
66.418 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
66.418 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
66.418 * [backup-simplify]: Simplify (+ 0) into 0
66.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
66.420 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
66.420 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
66.421 * [backup-simplify]: Simplify (+ 0 0) into 0
66.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
66.421 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
66.421 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
66.421 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
66.421 * [taylor]: Taking taylor expansion of 1/4 in U
66.421 * [backup-simplify]: Simplify 1/4 into 1/4
66.421 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
66.421 * [taylor]: Taking taylor expansion of (pow U 2) in U
66.421 * [taylor]: Taking taylor expansion of U in U
66.421 * [backup-simplify]: Simplify 0 into 0
66.421 * [backup-simplify]: Simplify 1 into 1
66.421 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
66.421 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
66.421 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
66.421 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
66.421 * [taylor]: Taking taylor expansion of 1/2 in U
66.421 * [backup-simplify]: Simplify 1/2 into 1/2
66.421 * [taylor]: Taking taylor expansion of K in U
66.421 * [backup-simplify]: Simplify K into K
66.421 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
66.422 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
66.422 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
66.422 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
66.422 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
66.422 * [backup-simplify]: Simplify (- 0) into 0
66.422 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
66.422 * [taylor]: Taking taylor expansion of (pow J 2) in U
66.422 * [taylor]: Taking taylor expansion of J in U
66.422 * [backup-simplify]: Simplify J into J
66.423 * [backup-simplify]: Simplify (* 1 1) into 1
66.423 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
66.423 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.423 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
66.423 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
66.423 * [taylor]: Taking taylor expansion of 1 in U
66.423 * [backup-simplify]: Simplify 1 into 1
66.424 * [backup-simplify]: Simplify (+ 0 1) into 1
66.424 * [backup-simplify]: Simplify (sqrt 1) into 1
66.425 * [backup-simplify]: Simplify (+ 0 0) into 0
66.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
66.425 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
66.425 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
66.425 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
66.425 * [taylor]: Taking taylor expansion of 1/4 in U
66.425 * [backup-simplify]: Simplify 1/4 into 1/4
66.425 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
66.425 * [taylor]: Taking taylor expansion of (pow U 2) in U
66.425 * [taylor]: Taking taylor expansion of U in U
66.425 * [backup-simplify]: Simplify 0 into 0
66.426 * [backup-simplify]: Simplify 1 into 1
66.426 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
66.426 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
66.426 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
66.426 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
66.426 * [taylor]: Taking taylor expansion of 1/2 in U
66.426 * [backup-simplify]: Simplify 1/2 into 1/2
66.426 * [taylor]: Taking taylor expansion of K in U
66.426 * [backup-simplify]: Simplify K into K
66.426 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
66.426 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
66.426 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
66.426 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
66.426 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
66.426 * [backup-simplify]: Simplify (- 0) into 0
66.427 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
66.427 * [taylor]: Taking taylor expansion of (pow J 2) in U
66.427 * [taylor]: Taking taylor expansion of J in U
66.427 * [backup-simplify]: Simplify J into J
66.427 * [backup-simplify]: Simplify (* 1 1) into 1
66.427 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
66.427 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.427 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
66.427 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
66.428 * [taylor]: Taking taylor expansion of 1 in U
66.428 * [backup-simplify]: Simplify 1 into 1
66.428 * [backup-simplify]: Simplify (+ 0 1) into 1
66.428 * [backup-simplify]: Simplify (sqrt 1) into 1
66.429 * [backup-simplify]: Simplify (+ 0 0) into 0
66.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
66.430 * [taylor]: Taking taylor expansion of 1 in K
66.430 * [backup-simplify]: Simplify 1 into 1
66.430 * [taylor]: Taking taylor expansion of 1 in J
66.430 * [backup-simplify]: Simplify 1 into 1
66.430 * [taylor]: Taking taylor expansion of 0 in K
66.430 * [backup-simplify]: Simplify 0 into 0
66.430 * [taylor]: Taking taylor expansion of 0 in J
66.430 * [backup-simplify]: Simplify 0 into 0
66.430 * [taylor]: Taking taylor expansion of 0 in J
66.430 * [backup-simplify]: Simplify 0 into 0
66.430 * [backup-simplify]: Simplify 1 into 1
66.430 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
66.430 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
66.432 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
66.432 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
66.432 * [taylor]: Taking taylor expansion of 1/8 in K
66.432 * [backup-simplify]: Simplify 1/8 into 1/8
66.432 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
66.432 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
66.432 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
66.432 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
66.432 * [taylor]: Taking taylor expansion of 1/2 in K
66.432 * [backup-simplify]: Simplify 1/2 into 1/2
66.432 * [taylor]: Taking taylor expansion of K in K
66.432 * [backup-simplify]: Simplify 0 into 0
66.432 * [backup-simplify]: Simplify 1 into 1
66.433 * [backup-simplify]: Simplify (* 1/2 0) into 0
66.433 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
66.433 * [taylor]: Taking taylor expansion of (pow J 2) in K
66.433 * [taylor]: Taking taylor expansion of J in K
66.433 * [backup-simplify]: Simplify J into J
66.434 * [backup-simplify]: Simplify (* 1 1) into 1
66.434 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.434 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
66.434 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2))
66.434 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J
66.434 * [taylor]: Taking taylor expansion of 1/8 in J
66.434 * [backup-simplify]: Simplify 1/8 into 1/8
66.434 * [taylor]: Taking taylor expansion of (pow J 2) in J
66.434 * [taylor]: Taking taylor expansion of J in J
66.434 * [backup-simplify]: Simplify 0 into 0
66.434 * [backup-simplify]: Simplify 1 into 1
66.435 * [backup-simplify]: Simplify (* 1 1) into 1
66.435 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8
66.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0
66.437 * [backup-simplify]: Simplify 0 into 0
66.437 * [taylor]: Taking taylor expansion of 0 in J
66.437 * [backup-simplify]: Simplify 0 into 0
66.437 * [taylor]: Taking taylor expansion of 0 in J
66.437 * [backup-simplify]: Simplify 0 into 0
66.437 * [backup-simplify]: Simplify 0 into 0
66.437 * [backup-simplify]: Simplify 0 into 0
66.437 * [backup-simplify]: Simplify 0 into 0
66.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.438 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
66.438 * [backup-simplify]: Simplify (+ 0) into 0
66.439 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
66.439 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
66.440 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.441 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
66.441 * [backup-simplify]: Simplify (- 0) into 0
66.441 * [backup-simplify]: Simplify (+ 0 0) into 0
66.442 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
66.442 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
66.442 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
66.443 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
66.444 * [backup-simplify]: Simplify (+ 0 0) into 0
66.444 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
66.444 * [taylor]: Taking taylor expansion of 0 in K
66.444 * [backup-simplify]: Simplify 0 into 0
66.444 * [taylor]: Taking taylor expansion of 0 in J
66.444 * [backup-simplify]: Simplify 0 into 0
66.444 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
66.445 * [backup-simplify]: Simplify (+ 0) into 0
66.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
66.446 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0
66.446 * [taylor]: Taking taylor expansion of 0 in J
66.446 * [backup-simplify]: Simplify 0 into 0
66.446 * [taylor]: Taking taylor expansion of 0 in J
66.446 * [backup-simplify]: Simplify 0 into 0
66.446 * [taylor]: Taking taylor expansion of 0 in J
66.446 * [backup-simplify]: Simplify 0 into 0
66.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
66.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.448 * [backup-simplify]: Simplify 0 into 0
66.448 * [backup-simplify]: Simplify 0 into 0
66.448 * [backup-simplify]: Simplify 1 into 1
66.449 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
66.449 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0
66.449 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
66.449 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
66.449 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
66.449 * [taylor]: Taking taylor expansion of 1/4 in J
66.449 * [backup-simplify]: Simplify 1/4 into 1/4
66.449 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
66.449 * [taylor]: Taking taylor expansion of (pow J 2) in J
66.449 * [taylor]: Taking taylor expansion of J in J
66.449 * [backup-simplify]: Simplify 0 into 0
66.449 * [backup-simplify]: Simplify 1 into 1
66.449 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
66.449 * [taylor]: Taking taylor expansion of (pow U 2) in J
66.449 * [taylor]: Taking taylor expansion of U in J
66.449 * [backup-simplify]: Simplify U into U
66.449 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
66.449 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
66.449 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
66.450 * [taylor]: Taking taylor expansion of 1/2 in J
66.450 * [backup-simplify]: Simplify 1/2 into 1/2
66.450 * [taylor]: Taking taylor expansion of K in J
66.450 * [backup-simplify]: Simplify K into K
66.450 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
66.450 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
66.450 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
66.450 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
66.450 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
66.450 * [backup-simplify]: Simplify (- 0) into 0
66.450 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
66.451 * [backup-simplify]: Simplify (* 1 1) into 1
66.451 * [backup-simplify]: Simplify (* U U) into (pow U 2)
66.451 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
66.451 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
66.451 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
66.451 * [taylor]: Taking taylor expansion of 1 in J
66.451 * [backup-simplify]: Simplify 1 into 1
66.452 * [backup-simplify]: Simplify (+ 0 1) into 1
66.452 * [backup-simplify]: Simplify (sqrt 1) into 1
66.453 * [backup-simplify]: Simplify (+ 0 0) into 0
66.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
66.454 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
66.454 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
66.454 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
66.454 * [taylor]: Taking taylor expansion of 1/4 in K
66.454 * [backup-simplify]: Simplify 1/4 into 1/4
66.454 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
66.454 * [taylor]: Taking taylor expansion of (pow J 2) in K
66.454 * [taylor]: Taking taylor expansion of J in K
66.454 * [backup-simplify]: Simplify J into J
66.454 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
66.454 * [taylor]: Taking taylor expansion of (pow U 2) in K
66.454 * [taylor]: Taking taylor expansion of U in K
66.454 * [backup-simplify]: Simplify U into U
66.454 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
66.454 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
66.454 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
66.454 * [taylor]: Taking taylor expansion of 1/2 in K
66.454 * [backup-simplify]: Simplify 1/2 into 1/2
66.454 * [taylor]: Taking taylor expansion of K in K
66.454 * [backup-simplify]: Simplify 0 into 0
66.454 * [backup-simplify]: Simplify 1 into 1
66.455 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
66.455 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
66.455 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.455 * [backup-simplify]: Simplify (* U U) into (pow U 2)
66.455 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
66.455 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
66.456 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
66.456 * [taylor]: Taking taylor expansion of 1 in K
66.456 * [backup-simplify]: Simplify 1 into 1
66.456 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
66.456 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
66.457 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
66.457 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
66.457 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
66.457 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
66.457 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
66.458 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
66.458 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
66.459 * [backup-simplify]: Simplify (+ 0 0) into 0
66.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
66.459 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
66.460 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
66.460 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
66.460 * [taylor]: Taking taylor expansion of 1/4 in U
66.460 * [backup-simplify]: Simplify 1/4 into 1/4
66.460 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
66.460 * [taylor]: Taking taylor expansion of (pow J 2) in U
66.460 * [taylor]: Taking taylor expansion of J in U
66.460 * [backup-simplify]: Simplify J into J
66.460 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
66.460 * [taylor]: Taking taylor expansion of (pow U 2) in U
66.460 * [taylor]: Taking taylor expansion of U in U
66.460 * [backup-simplify]: Simplify 0 into 0
66.460 * [backup-simplify]: Simplify 1 into 1
66.460 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
66.460 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
66.460 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
66.460 * [taylor]: Taking taylor expansion of 1/2 in U
66.460 * [backup-simplify]: Simplify 1/2 into 1/2
66.460 * [taylor]: Taking taylor expansion of K in U
66.460 * [backup-simplify]: Simplify K into K
66.460 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
66.460 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
66.460 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
66.460 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
66.460 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
66.461 * [backup-simplify]: Simplify (- 0) into 0
66.461 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
66.461 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.461 * [backup-simplify]: Simplify (* 1 1) into 1
66.462 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
66.462 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
66.462 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
66.462 * [taylor]: Taking taylor expansion of 1 in U
66.462 * [backup-simplify]: Simplify 1 into 1
66.462 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
66.463 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
66.463 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
66.463 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
66.463 * [backup-simplify]: Simplify (+ 0) into 0
66.464 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
66.464 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
66.465 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.465 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
66.466 * [backup-simplify]: Simplify (- 0) into 0
66.466 * [backup-simplify]: Simplify (+ 0 0) into 0
66.466 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
66.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
66.468 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
66.468 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
66.469 * [backup-simplify]: Simplify (+ 0 0) into 0
66.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
66.469 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
66.469 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
66.469 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
66.469 * [taylor]: Taking taylor expansion of 1/4 in U
66.469 * [backup-simplify]: Simplify 1/4 into 1/4
66.469 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
66.469 * [taylor]: Taking taylor expansion of (pow J 2) in U
66.469 * [taylor]: Taking taylor expansion of J in U
66.469 * [backup-simplify]: Simplify J into J
66.470 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
66.470 * [taylor]: Taking taylor expansion of (pow U 2) in U
66.470 * [taylor]: Taking taylor expansion of U in U
66.470 * [backup-simplify]: Simplify 0 into 0
66.470 * [backup-simplify]: Simplify 1 into 1
66.470 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
66.470 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
66.470 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
66.470 * [taylor]: Taking taylor expansion of 1/2 in U
66.470 * [backup-simplify]: Simplify 1/2 into 1/2
66.470 * [taylor]: Taking taylor expansion of K in U
66.470 * [backup-simplify]: Simplify K into K
66.470 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
66.470 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
66.470 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
66.470 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
66.470 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
66.471 * [backup-simplify]: Simplify (- 0) into 0
66.471 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
66.471 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.471 * [backup-simplify]: Simplify (* 1 1) into 1
66.471 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
66.471 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
66.472 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
66.472 * [taylor]: Taking taylor expansion of 1 in U
66.472 * [backup-simplify]: Simplify 1 into 1
66.472 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
66.472 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
66.472 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
66.472 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
66.473 * [backup-simplify]: Simplify (+ 0) into 0
66.473 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
66.474 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
66.474 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.475 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
66.475 * [backup-simplify]: Simplify (- 0) into 0
66.476 * [backup-simplify]: Simplify (+ 0 0) into 0
66.476 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
66.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
66.477 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
66.478 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
66.478 * [backup-simplify]: Simplify (+ 0 0) into 0
66.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
66.479 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K
66.479 * [taylor]: Taking taylor expansion of 1/2 in K
66.479 * [backup-simplify]: Simplify 1/2 into 1/2
66.479 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K
66.479 * [taylor]: Taking taylor expansion of J in K
66.479 * [backup-simplify]: Simplify J into J
66.479 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
66.479 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
66.479 * [taylor]: Taking taylor expansion of 1/2 in K
66.479 * [backup-simplify]: Simplify 1/2 into 1/2
66.479 * [taylor]: Taking taylor expansion of K in K
66.479 * [backup-simplify]: Simplify 0 into 0
66.479 * [backup-simplify]: Simplify 1 into 1
66.480 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
66.480 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
66.480 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K)))
66.480 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
66.480 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
66.480 * [taylor]: Taking taylor expansion of 1/2 in J
66.480 * [backup-simplify]: Simplify 1/2 into 1/2
66.480 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
66.480 * [taylor]: Taking taylor expansion of J in J
66.480 * [backup-simplify]: Simplify 0 into 0
66.480 * [backup-simplify]: Simplify 1 into 1
66.480 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
66.480 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
66.480 * [taylor]: Taking taylor expansion of 1/2 in J
66.480 * [backup-simplify]: Simplify 1/2 into 1/2
66.480 * [taylor]: Taking taylor expansion of K in J
66.480 * [backup-simplify]: Simplify K into K
66.480 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
66.480 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
66.480 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
66.481 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
66.481 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
66.481 * [backup-simplify]: Simplify (- 0) into 0
66.481 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
66.481 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
66.481 * [taylor]: Taking taylor expansion of 0 in K
66.481 * [backup-simplify]: Simplify 0 into 0
66.481 * [taylor]: Taking taylor expansion of 0 in J
66.481 * [backup-simplify]: Simplify 0 into 0
66.481 * [backup-simplify]: Simplify 0 into 0
66.482 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
66.482 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0
66.482 * [taylor]: Taking taylor expansion of 0 in J
66.482 * [backup-simplify]: Simplify 0 into 0
66.482 * [backup-simplify]: Simplify 0 into 0
66.482 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
66.482 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
66.483 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
66.484 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
66.485 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
66.485 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
66.486 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
66.486 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
66.486 * [backup-simplify]: Simplify (- 0) into 0
66.487 * [backup-simplify]: Simplify (+ 0 0) into 0
66.487 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
66.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
66.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
66.490 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
66.491 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
66.491 * [backup-simplify]: Simplify (+ 0 1) into 1
66.492 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
66.492 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
66.492 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
66.492 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
66.492 * [taylor]: Taking taylor expansion of 1/2 in K
66.492 * [backup-simplify]: Simplify 1/2 into 1/2
66.492 * [taylor]: Taking taylor expansion of K in K
66.492 * [backup-simplify]: Simplify 0 into 0
66.492 * [backup-simplify]: Simplify 1 into 1
66.493 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
66.493 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
66.493 * [taylor]: Taking taylor expansion of J in K
66.493 * [backup-simplify]: Simplify J into J
66.493 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
66.493 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
66.493 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
66.493 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
66.493 * [taylor]: Taking taylor expansion of 1/2 in J
66.493 * [backup-simplify]: Simplify 1/2 into 1/2
66.493 * [taylor]: Taking taylor expansion of K in J
66.493 * [backup-simplify]: Simplify K into K
66.493 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
66.493 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
66.493 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
66.493 * [taylor]: Taking taylor expansion of J in J
66.493 * [backup-simplify]: Simplify 0 into 0
66.493 * [backup-simplify]: Simplify 1 into 1
66.493 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
66.493 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
66.494 * [backup-simplify]: Simplify (- 0) into 0
66.494 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
66.494 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
66.494 * [backup-simplify]: Simplify (+ 0) into 0
66.495 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
66.495 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
66.496 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.496 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
66.497 * [backup-simplify]: Simplify (- 0) into 0
66.497 * [backup-simplify]: Simplify (+ 0 0) into 0
66.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
66.498 * [backup-simplify]: Simplify 0 into 0
66.498 * [taylor]: Taking taylor expansion of 0 in J
66.498 * [backup-simplify]: Simplify 0 into 0
66.498 * [backup-simplify]: Simplify 0 into 0
66.498 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
66.499 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0
66.499 * [taylor]: Taking taylor expansion of 0 in J
66.499 * [backup-simplify]: Simplify 0 into 0
66.499 * [backup-simplify]: Simplify 0 into 0
66.499 * [backup-simplify]: Simplify 0 into 0
66.499 * [backup-simplify]: Simplify 0 into 0
66.500 * [backup-simplify]: Simplify (+ 0) into 0
66.500 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
66.501 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
66.502 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.502 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
66.502 * [backup-simplify]: Simplify (- 0) into 0
66.503 * [backup-simplify]: Simplify (+ 0 0) into 0
66.503 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
66.504 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
66.504 * [backup-simplify]: Simplify 0 into 0
66.504 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
66.504 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
66.504 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0
66.505 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
66.505 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
66.505 * [taylor]: Taking taylor expansion of 1 in J
66.505 * [backup-simplify]: Simplify 1 into 1
66.505 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
66.505 * [taylor]: Taking taylor expansion of 1/4 in J
66.505 * [backup-simplify]: Simplify 1/4 into 1/4
66.505 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
66.505 * [taylor]: Taking taylor expansion of (pow J 2) in J
66.505 * [taylor]: Taking taylor expansion of J in J
66.505 * [backup-simplify]: Simplify 0 into 0
66.505 * [backup-simplify]: Simplify 1 into 1
66.505 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
66.505 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
66.505 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
66.505 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
66.505 * [taylor]: Taking taylor expansion of -1/2 in J
66.505 * [backup-simplify]: Simplify -1/2 into -1/2
66.505 * [taylor]: Taking taylor expansion of K in J
66.505 * [backup-simplify]: Simplify K into K
66.505 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
66.505 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
66.505 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
66.505 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
66.505 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
66.506 * [backup-simplify]: Simplify (- 0) into 0
66.506 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
66.506 * [taylor]: Taking taylor expansion of (pow U 2) in J
66.506 * [taylor]: Taking taylor expansion of U in J
66.506 * [backup-simplify]: Simplify U into U
66.506 * [backup-simplify]: Simplify (* 1 1) into 1
66.507 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
66.507 * [backup-simplify]: Simplify (* U U) into (pow U 2)
66.507 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
66.507 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
66.507 * [backup-simplify]: Simplify (+ 1 0) into 1
66.508 * [backup-simplify]: Simplify (sqrt 1) into 1
66.508 * [backup-simplify]: Simplify (+ 0 0) into 0
66.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
66.509 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
66.509 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
66.509 * [taylor]: Taking taylor expansion of 1 in K
66.509 * [backup-simplify]: Simplify 1 into 1
66.509 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
66.509 * [taylor]: Taking taylor expansion of 1/4 in K
66.509 * [backup-simplify]: Simplify 1/4 into 1/4
66.509 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
66.509 * [taylor]: Taking taylor expansion of (pow J 2) in K
66.509 * [taylor]: Taking taylor expansion of J in K
66.509 * [backup-simplify]: Simplify J into J
66.509 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
66.509 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
66.509 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
66.509 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
66.509 * [taylor]: Taking taylor expansion of -1/2 in K
66.509 * [backup-simplify]: Simplify -1/2 into -1/2
66.509 * [taylor]: Taking taylor expansion of K in K
66.509 * [backup-simplify]: Simplify 0 into 0
66.509 * [backup-simplify]: Simplify 1 into 1
66.510 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
66.510 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
66.510 * [taylor]: Taking taylor expansion of (pow U 2) in K
66.510 * [taylor]: Taking taylor expansion of U in K
66.510 * [backup-simplify]: Simplify U into U
66.510 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.510 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
66.510 * [backup-simplify]: Simplify (* U U) into (pow U 2)
66.510 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
66.511 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
66.511 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
66.511 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
66.512 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
66.512 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
66.512 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
66.512 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
66.512 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
66.513 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
66.514 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
66.514 * [backup-simplify]: Simplify (+ 0 0) into 0
66.515 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
66.515 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
66.515 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
66.515 * [taylor]: Taking taylor expansion of 1 in U
66.515 * [backup-simplify]: Simplify 1 into 1
66.515 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
66.515 * [taylor]: Taking taylor expansion of 1/4 in U
66.515 * [backup-simplify]: Simplify 1/4 into 1/4
66.515 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
66.515 * [taylor]: Taking taylor expansion of (pow J 2) in U
66.515 * [taylor]: Taking taylor expansion of J in U
66.515 * [backup-simplify]: Simplify J into J
66.515 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
66.515 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
66.515 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
66.515 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
66.515 * [taylor]: Taking taylor expansion of -1/2 in U
66.515 * [backup-simplify]: Simplify -1/2 into -1/2
66.515 * [taylor]: Taking taylor expansion of K in U
66.515 * [backup-simplify]: Simplify K into K
66.515 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
66.515 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
66.515 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
66.515 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
66.515 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
66.516 * [backup-simplify]: Simplify (- 0) into 0
66.516 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
66.516 * [taylor]: Taking taylor expansion of (pow U 2) in U
66.516 * [taylor]: Taking taylor expansion of U in U
66.516 * [backup-simplify]: Simplify 0 into 0
66.516 * [backup-simplify]: Simplify 1 into 1
66.516 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.516 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
66.517 * [backup-simplify]: Simplify (* 1 1) into 1
66.517 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
66.517 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
66.517 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
66.517 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
66.518 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
66.518 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
66.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.519 * [backup-simplify]: Simplify (+ 0) into 0
66.519 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
66.519 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
66.520 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.521 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
66.521 * [backup-simplify]: Simplify (- 0) into 0
66.521 * [backup-simplify]: Simplify (+ 0 0) into 0
66.521 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
66.522 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
66.522 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
66.523 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
66.523 * [backup-simplify]: Simplify (+ 0 0) into 0
66.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
66.524 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
66.524 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
66.524 * [taylor]: Taking taylor expansion of 1 in U
66.524 * [backup-simplify]: Simplify 1 into 1
66.524 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
66.524 * [taylor]: Taking taylor expansion of 1/4 in U
66.524 * [backup-simplify]: Simplify 1/4 into 1/4
66.524 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
66.524 * [taylor]: Taking taylor expansion of (pow J 2) in U
66.524 * [taylor]: Taking taylor expansion of J in U
66.524 * [backup-simplify]: Simplify J into J
66.524 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
66.524 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
66.524 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
66.524 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
66.524 * [taylor]: Taking taylor expansion of -1/2 in U
66.524 * [backup-simplify]: Simplify -1/2 into -1/2
66.524 * [taylor]: Taking taylor expansion of K in U
66.524 * [backup-simplify]: Simplify K into K
66.524 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
66.524 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
66.524 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
66.524 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
66.524 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
66.529 * [backup-simplify]: Simplify (- 0) into 0
66.529 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
66.529 * [taylor]: Taking taylor expansion of (pow U 2) in U
66.529 * [taylor]: Taking taylor expansion of U in U
66.529 * [backup-simplify]: Simplify 0 into 0
66.529 * [backup-simplify]: Simplify 1 into 1
66.529 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.529 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
66.530 * [backup-simplify]: Simplify (* 1 1) into 1
66.530 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
66.530 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
66.531 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
66.531 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
66.531 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
66.531 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
66.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.532 * [backup-simplify]: Simplify (+ 0) into 0
66.533 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
66.533 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
66.534 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.534 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
66.534 * [backup-simplify]: Simplify (- 0) into 0
66.535 * [backup-simplify]: Simplify (+ 0 0) into 0
66.535 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
66.536 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
66.536 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
66.537 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
66.537 * [backup-simplify]: Simplify (+ 0 0) into 0
66.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
66.537 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K
66.538 * [taylor]: Taking taylor expansion of 1/2 in K
66.538 * [backup-simplify]: Simplify 1/2 into 1/2
66.538 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K
66.538 * [taylor]: Taking taylor expansion of J in K
66.538 * [backup-simplify]: Simplify J into J
66.538 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
66.538 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
66.538 * [taylor]: Taking taylor expansion of -1/2 in K
66.538 * [backup-simplify]: Simplify -1/2 into -1/2
66.538 * [taylor]: Taking taylor expansion of K in K
66.538 * [backup-simplify]: Simplify 0 into 0
66.538 * [backup-simplify]: Simplify 1 into 1
66.538 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
66.538 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
66.538 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K)))
66.539 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
66.539 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
66.539 * [taylor]: Taking taylor expansion of 1/2 in J
66.539 * [backup-simplify]: Simplify 1/2 into 1/2
66.539 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
66.539 * [taylor]: Taking taylor expansion of J in J
66.539 * [backup-simplify]: Simplify 0 into 0
66.539 * [backup-simplify]: Simplify 1 into 1
66.539 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
66.539 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
66.539 * [taylor]: Taking taylor expansion of -1/2 in J
66.539 * [backup-simplify]: Simplify -1/2 into -1/2
66.539 * [taylor]: Taking taylor expansion of K in J
66.539 * [backup-simplify]: Simplify K into K
66.539 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
66.539 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
66.539 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
66.539 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
66.539 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
66.540 * [backup-simplify]: Simplify (- 0) into 0
66.540 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
66.540 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
66.540 * [taylor]: Taking taylor expansion of 0 in K
66.540 * [backup-simplify]: Simplify 0 into 0
66.540 * [taylor]: Taking taylor expansion of 0 in J
66.540 * [backup-simplify]: Simplify 0 into 0
66.540 * [backup-simplify]: Simplify 0 into 0
66.540 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
66.541 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0
66.541 * [taylor]: Taking taylor expansion of 0 in J
66.541 * [backup-simplify]: Simplify 0 into 0
66.541 * [backup-simplify]: Simplify 0 into 0
66.541 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
66.541 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
66.542 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
66.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
66.543 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
66.544 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
66.544 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
66.545 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
66.546 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
66.546 * [backup-simplify]: Simplify (- 0) into 0
66.547 * [backup-simplify]: Simplify (+ 0 0) into 0
66.547 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
66.548 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
66.549 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
66.550 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
66.550 * [backup-simplify]: Simplify (+ 1 0) into 1
66.551 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
66.551 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
66.551 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
66.551 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
66.551 * [taylor]: Taking taylor expansion of -1/2 in K
66.551 * [backup-simplify]: Simplify -1/2 into -1/2
66.551 * [taylor]: Taking taylor expansion of K in K
66.551 * [backup-simplify]: Simplify 0 into 0
66.551 * [backup-simplify]: Simplify 1 into 1
66.552 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
66.552 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
66.552 * [taylor]: Taking taylor expansion of J in K
66.552 * [backup-simplify]: Simplify J into J
66.552 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
66.552 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
66.552 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
66.552 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
66.552 * [taylor]: Taking taylor expansion of -1/2 in J
66.552 * [backup-simplify]: Simplify -1/2 into -1/2
66.552 * [taylor]: Taking taylor expansion of K in J
66.552 * [backup-simplify]: Simplify K into K
66.552 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
66.552 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
66.552 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
66.552 * [taylor]: Taking taylor expansion of J in J
66.552 * [backup-simplify]: Simplify 0 into 0
66.552 * [backup-simplify]: Simplify 1 into 1
66.552 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
66.553 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
66.553 * [backup-simplify]: Simplify (- 0) into 0
66.553 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
66.553 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
66.554 * [backup-simplify]: Simplify (+ 0) into 0
66.554 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
66.554 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
66.555 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.555 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
66.556 * [backup-simplify]: Simplify (- 0) into 0
66.556 * [backup-simplify]: Simplify (+ 0 0) into 0
66.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
66.557 * [backup-simplify]: Simplify 0 into 0
66.557 * [taylor]: Taking taylor expansion of 0 in J
66.557 * [backup-simplify]: Simplify 0 into 0
66.557 * [backup-simplify]: Simplify 0 into 0
66.558 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
66.559 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0
66.559 * [taylor]: Taking taylor expansion of 0 in J
66.559 * [backup-simplify]: Simplify 0 into 0
66.559 * [backup-simplify]: Simplify 0 into 0
66.559 * [backup-simplify]: Simplify 0 into 0
66.559 * [backup-simplify]: Simplify 0 into 0
66.559 * [backup-simplify]: Simplify (+ 0) into 0
66.560 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
66.560 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
66.561 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.561 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
66.561 * [backup-simplify]: Simplify (- 0) into 0
66.562 * [backup-simplify]: Simplify (+ 0 0) into 0
66.562 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
66.563 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
66.563 * [backup-simplify]: Simplify 0 into 0
66.563 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
66.563 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 1)
66.563 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
66.563 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0
66.564 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
66.564 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
66.564 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
66.564 * [taylor]: Taking taylor expansion of 1/4 in J
66.564 * [backup-simplify]: Simplify 1/4 into 1/4
66.564 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
66.564 * [taylor]: Taking taylor expansion of (pow U 2) in J
66.564 * [taylor]: Taking taylor expansion of U in J
66.564 * [backup-simplify]: Simplify U into U
66.564 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
66.564 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
66.564 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
66.564 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
66.564 * [taylor]: Taking taylor expansion of 1/2 in J
66.564 * [backup-simplify]: Simplify 1/2 into 1/2
66.564 * [taylor]: Taking taylor expansion of K in J
66.564 * [backup-simplify]: Simplify K into K
66.564 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
66.564 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
66.564 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
66.565 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
66.565 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
66.565 * [backup-simplify]: Simplify (- 0) into 0
66.565 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
66.565 * [taylor]: Taking taylor expansion of (pow J 2) in J
66.565 * [taylor]: Taking taylor expansion of J in J
66.565 * [backup-simplify]: Simplify 0 into 0
66.565 * [backup-simplify]: Simplify 1 into 1
66.565 * [backup-simplify]: Simplify (* U U) into (pow U 2)
66.565 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
66.566 * [backup-simplify]: Simplify (* 1 1) into 1
66.566 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
66.566 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
66.566 * [taylor]: Taking taylor expansion of 1 in J
66.566 * [backup-simplify]: Simplify 1 into 1
66.566 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
66.567 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
66.567 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
66.567 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
66.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.568 * [backup-simplify]: Simplify (+ 0) into 0
66.569 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
66.569 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
66.570 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.571 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
66.571 * [backup-simplify]: Simplify (- 0) into 0
66.571 * [backup-simplify]: Simplify (+ 0 0) into 0
66.571 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
66.572 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
66.572 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
66.573 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
66.573 * [backup-simplify]: Simplify (+ 0 0) into 0
66.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
66.574 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
66.574 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
66.574 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
66.574 * [taylor]: Taking taylor expansion of 1/4 in K
66.574 * [backup-simplify]: Simplify 1/4 into 1/4
66.574 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
66.574 * [taylor]: Taking taylor expansion of (pow U 2) in K
66.574 * [taylor]: Taking taylor expansion of U in K
66.574 * [backup-simplify]: Simplify U into U
66.574 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
66.574 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
66.574 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
66.574 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
66.574 * [taylor]: Taking taylor expansion of 1/2 in K
66.574 * [backup-simplify]: Simplify 1/2 into 1/2
66.574 * [taylor]: Taking taylor expansion of K in K
66.574 * [backup-simplify]: Simplify 0 into 0
66.574 * [backup-simplify]: Simplify 1 into 1
66.574 * [backup-simplify]: Simplify (* 1/2 0) into 0
66.575 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
66.575 * [taylor]: Taking taylor expansion of (pow J 2) in K
66.575 * [taylor]: Taking taylor expansion of J in K
66.575 * [backup-simplify]: Simplify J into J
66.575 * [backup-simplify]: Simplify (* U U) into (pow U 2)
66.576 * [backup-simplify]: Simplify (* 1 1) into 1
66.576 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.576 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
66.576 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
66.576 * [taylor]: Taking taylor expansion of 1 in K
66.576 * [backup-simplify]: Simplify 1 into 1
66.576 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
66.576 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
66.577 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
66.577 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
66.577 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
66.577 * [backup-simplify]: Simplify (+ 0) into 0
66.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
66.579 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
66.579 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
66.580 * [backup-simplify]: Simplify (+ 0 0) into 0
66.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
66.580 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
66.580 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
66.580 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
66.580 * [taylor]: Taking taylor expansion of 1/4 in U
66.580 * [backup-simplify]: Simplify 1/4 into 1/4
66.580 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
66.580 * [taylor]: Taking taylor expansion of (pow U 2) in U
66.580 * [taylor]: Taking taylor expansion of U in U
66.580 * [backup-simplify]: Simplify 0 into 0
66.580 * [backup-simplify]: Simplify 1 into 1
66.580 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
66.580 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
66.580 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
66.580 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
66.580 * [taylor]: Taking taylor expansion of 1/2 in U
66.580 * [backup-simplify]: Simplify 1/2 into 1/2
66.580 * [taylor]: Taking taylor expansion of K in U
66.580 * [backup-simplify]: Simplify K into K
66.580 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
66.580 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
66.580 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
66.581 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
66.581 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
66.581 * [backup-simplify]: Simplify (- 0) into 0
66.581 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
66.581 * [taylor]: Taking taylor expansion of (pow J 2) in U
66.581 * [taylor]: Taking taylor expansion of J in U
66.581 * [backup-simplify]: Simplify J into J
66.582 * [backup-simplify]: Simplify (* 1 1) into 1
66.582 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
66.582 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.582 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
66.582 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
66.582 * [taylor]: Taking taylor expansion of 1 in U
66.582 * [backup-simplify]: Simplify 1 into 1
66.583 * [backup-simplify]: Simplify (+ 0 1) into 1
66.583 * [backup-simplify]: Simplify (sqrt 1) into 1
66.583 * [backup-simplify]: Simplify (+ 0 0) into 0
66.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
66.584 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
66.584 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
66.584 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
66.584 * [taylor]: Taking taylor expansion of 1/4 in U
66.584 * [backup-simplify]: Simplify 1/4 into 1/4
66.584 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
66.584 * [taylor]: Taking taylor expansion of (pow U 2) in U
66.584 * [taylor]: Taking taylor expansion of U in U
66.584 * [backup-simplify]: Simplify 0 into 0
66.584 * [backup-simplify]: Simplify 1 into 1
66.584 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
66.584 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
66.584 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
66.584 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
66.584 * [taylor]: Taking taylor expansion of 1/2 in U
66.584 * [backup-simplify]: Simplify 1/2 into 1/2
66.584 * [taylor]: Taking taylor expansion of K in U
66.584 * [backup-simplify]: Simplify K into K
66.584 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
66.585 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
66.585 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
66.585 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
66.585 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
66.585 * [backup-simplify]: Simplify (- 0) into 0
66.585 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
66.585 * [taylor]: Taking taylor expansion of (pow J 2) in U
66.585 * [taylor]: Taking taylor expansion of J in U
66.585 * [backup-simplify]: Simplify J into J
66.586 * [backup-simplify]: Simplify (* 1 1) into 1
66.586 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
66.586 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.586 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
66.586 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
66.586 * [taylor]: Taking taylor expansion of 1 in U
66.586 * [backup-simplify]: Simplify 1 into 1
66.587 * [backup-simplify]: Simplify (+ 0 1) into 1
66.587 * [backup-simplify]: Simplify (sqrt 1) into 1
66.587 * [backup-simplify]: Simplify (+ 0 0) into 0
66.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
66.588 * [taylor]: Taking taylor expansion of 1 in K
66.588 * [backup-simplify]: Simplify 1 into 1
66.588 * [taylor]: Taking taylor expansion of 1 in J
66.588 * [backup-simplify]: Simplify 1 into 1
66.588 * [taylor]: Taking taylor expansion of 0 in K
66.588 * [backup-simplify]: Simplify 0 into 0
66.588 * [taylor]: Taking taylor expansion of 0 in J
66.588 * [backup-simplify]: Simplify 0 into 0
66.588 * [taylor]: Taking taylor expansion of 0 in J
66.588 * [backup-simplify]: Simplify 0 into 0
66.588 * [backup-simplify]: Simplify 1 into 1
66.588 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
66.588 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
66.589 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
66.589 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
66.589 * [taylor]: Taking taylor expansion of 1/8 in K
66.589 * [backup-simplify]: Simplify 1/8 into 1/8
66.589 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
66.589 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
66.589 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
66.589 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
66.589 * [taylor]: Taking taylor expansion of 1/2 in K
66.589 * [backup-simplify]: Simplify 1/2 into 1/2
66.589 * [taylor]: Taking taylor expansion of K in K
66.589 * [backup-simplify]: Simplify 0 into 0
66.589 * [backup-simplify]: Simplify 1 into 1
66.589 * [backup-simplify]: Simplify (* 1/2 0) into 0
66.590 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
66.590 * [taylor]: Taking taylor expansion of (pow J 2) in K
66.590 * [taylor]: Taking taylor expansion of J in K
66.590 * [backup-simplify]: Simplify J into J
66.590 * [backup-simplify]: Simplify (* 1 1) into 1
66.590 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.590 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
66.590 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2))
66.590 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J
66.590 * [taylor]: Taking taylor expansion of 1/8 in J
66.590 * [backup-simplify]: Simplify 1/8 into 1/8
66.590 * [taylor]: Taking taylor expansion of (pow J 2) in J
66.590 * [taylor]: Taking taylor expansion of J in J
66.590 * [backup-simplify]: Simplify 0 into 0
66.590 * [backup-simplify]: Simplify 1 into 1
66.591 * [backup-simplify]: Simplify (* 1 1) into 1
66.591 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8
66.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0
66.592 * [backup-simplify]: Simplify 0 into 0
66.592 * [taylor]: Taking taylor expansion of 0 in J
66.592 * [backup-simplify]: Simplify 0 into 0
66.592 * [taylor]: Taking taylor expansion of 0 in J
66.592 * [backup-simplify]: Simplify 0 into 0
66.592 * [backup-simplify]: Simplify 0 into 0
66.592 * [backup-simplify]: Simplify 0 into 0
66.592 * [backup-simplify]: Simplify 0 into 0
66.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.593 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
66.593 * [backup-simplify]: Simplify (+ 0) into 0
66.593 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
66.594 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
66.594 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.594 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
66.595 * [backup-simplify]: Simplify (- 0) into 0
66.595 * [backup-simplify]: Simplify (+ 0 0) into 0
66.595 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
66.595 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
66.595 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
66.596 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
66.596 * [backup-simplify]: Simplify (+ 0 0) into 0
66.596 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
66.596 * [taylor]: Taking taylor expansion of 0 in K
66.596 * [backup-simplify]: Simplify 0 into 0
66.596 * [taylor]: Taking taylor expansion of 0 in J
66.596 * [backup-simplify]: Simplify 0 into 0
66.596 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
66.597 * [backup-simplify]: Simplify (+ 0) into 0
66.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
66.598 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0
66.598 * [taylor]: Taking taylor expansion of 0 in J
66.598 * [backup-simplify]: Simplify 0 into 0
66.598 * [taylor]: Taking taylor expansion of 0 in J
66.598 * [backup-simplify]: Simplify 0 into 0
66.598 * [taylor]: Taking taylor expansion of 0 in J
66.598 * [backup-simplify]: Simplify 0 into 0
66.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
66.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.599 * [backup-simplify]: Simplify 0 into 0
66.599 * [backup-simplify]: Simplify 0 into 0
66.599 * [backup-simplify]: Simplify 1 into 1
66.599 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
66.599 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0
66.599 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
66.599 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
66.599 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
66.599 * [taylor]: Taking taylor expansion of 1/4 in J
66.599 * [backup-simplify]: Simplify 1/4 into 1/4
66.599 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
66.599 * [taylor]: Taking taylor expansion of (pow J 2) in J
66.599 * [taylor]: Taking taylor expansion of J in J
66.599 * [backup-simplify]: Simplify 0 into 0
66.599 * [backup-simplify]: Simplify 1 into 1
66.599 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
66.600 * [taylor]: Taking taylor expansion of (pow U 2) in J
66.600 * [taylor]: Taking taylor expansion of U in J
66.600 * [backup-simplify]: Simplify U into U
66.600 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
66.600 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
66.600 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
66.600 * [taylor]: Taking taylor expansion of 1/2 in J
66.600 * [backup-simplify]: Simplify 1/2 into 1/2
66.600 * [taylor]: Taking taylor expansion of K in J
66.600 * [backup-simplify]: Simplify K into K
66.600 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
66.600 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
66.600 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
66.600 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
66.600 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
66.600 * [backup-simplify]: Simplify (- 0) into 0
66.600 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
66.600 * [backup-simplify]: Simplify (* 1 1) into 1
66.601 * [backup-simplify]: Simplify (* U U) into (pow U 2)
66.601 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
66.601 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
66.601 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
66.601 * [taylor]: Taking taylor expansion of 1 in J
66.601 * [backup-simplify]: Simplify 1 into 1
66.601 * [backup-simplify]: Simplify (+ 0 1) into 1
66.601 * [backup-simplify]: Simplify (sqrt 1) into 1
66.602 * [backup-simplify]: Simplify (+ 0 0) into 0
66.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
66.602 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
66.602 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
66.602 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
66.602 * [taylor]: Taking taylor expansion of 1/4 in K
66.602 * [backup-simplify]: Simplify 1/4 into 1/4
66.602 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
66.602 * [taylor]: Taking taylor expansion of (pow J 2) in K
66.602 * [taylor]: Taking taylor expansion of J in K
66.602 * [backup-simplify]: Simplify J into J
66.602 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
66.602 * [taylor]: Taking taylor expansion of (pow U 2) in K
66.602 * [taylor]: Taking taylor expansion of U in K
66.602 * [backup-simplify]: Simplify U into U
66.602 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
66.602 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
66.602 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
66.602 * [taylor]: Taking taylor expansion of 1/2 in K
66.602 * [backup-simplify]: Simplify 1/2 into 1/2
66.603 * [taylor]: Taking taylor expansion of K in K
66.603 * [backup-simplify]: Simplify 0 into 0
66.603 * [backup-simplify]: Simplify 1 into 1
66.603 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
66.603 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
66.603 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.603 * [backup-simplify]: Simplify (* U U) into (pow U 2)
66.603 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
66.603 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
66.603 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
66.603 * [taylor]: Taking taylor expansion of 1 in K
66.603 * [backup-simplify]: Simplify 1 into 1
66.604 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
66.604 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
66.604 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
66.604 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
66.604 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
66.604 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
66.604 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
66.605 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
66.605 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
66.605 * [backup-simplify]: Simplify (+ 0 0) into 0
66.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
66.606 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
66.606 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
66.606 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
66.606 * [taylor]: Taking taylor expansion of 1/4 in U
66.606 * [backup-simplify]: Simplify 1/4 into 1/4
66.606 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
66.606 * [taylor]: Taking taylor expansion of (pow J 2) in U
66.606 * [taylor]: Taking taylor expansion of J in U
66.606 * [backup-simplify]: Simplify J into J
66.606 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
66.606 * [taylor]: Taking taylor expansion of (pow U 2) in U
66.606 * [taylor]: Taking taylor expansion of U in U
66.606 * [backup-simplify]: Simplify 0 into 0
66.606 * [backup-simplify]: Simplify 1 into 1
66.606 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
66.606 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
66.606 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
66.606 * [taylor]: Taking taylor expansion of 1/2 in U
66.606 * [backup-simplify]: Simplify 1/2 into 1/2
66.606 * [taylor]: Taking taylor expansion of K in U
66.606 * [backup-simplify]: Simplify K into K
66.606 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
66.606 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
66.606 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
66.606 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
66.606 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
66.606 * [backup-simplify]: Simplify (- 0) into 0
66.606 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
66.606 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.607 * [backup-simplify]: Simplify (* 1 1) into 1
66.607 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
66.607 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
66.607 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
66.607 * [taylor]: Taking taylor expansion of 1 in U
66.607 * [backup-simplify]: Simplify 1 into 1
66.607 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
66.607 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
66.607 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
66.607 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
66.608 * [backup-simplify]: Simplify (+ 0) into 0
66.608 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
66.608 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
66.609 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.609 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
66.609 * [backup-simplify]: Simplify (- 0) into 0
66.609 * [backup-simplify]: Simplify (+ 0 0) into 0
66.610 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
66.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
66.610 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
66.611 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
66.611 * [backup-simplify]: Simplify (+ 0 0) into 0
66.611 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
66.611 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
66.611 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
66.611 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
66.611 * [taylor]: Taking taylor expansion of 1/4 in U
66.611 * [backup-simplify]: Simplify 1/4 into 1/4
66.611 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
66.611 * [taylor]: Taking taylor expansion of (pow J 2) in U
66.611 * [taylor]: Taking taylor expansion of J in U
66.611 * [backup-simplify]: Simplify J into J
66.611 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
66.611 * [taylor]: Taking taylor expansion of (pow U 2) in U
66.611 * [taylor]: Taking taylor expansion of U in U
66.611 * [backup-simplify]: Simplify 0 into 0
66.612 * [backup-simplify]: Simplify 1 into 1
66.612 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
66.612 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
66.612 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
66.612 * [taylor]: Taking taylor expansion of 1/2 in U
66.612 * [backup-simplify]: Simplify 1/2 into 1/2
66.612 * [taylor]: Taking taylor expansion of K in U
66.612 * [backup-simplify]: Simplify K into K
66.612 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
66.612 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
66.612 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
66.612 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
66.612 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
66.612 * [backup-simplify]: Simplify (- 0) into 0
66.612 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
66.612 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.612 * [backup-simplify]: Simplify (* 1 1) into 1
66.612 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
66.613 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
66.613 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
66.613 * [taylor]: Taking taylor expansion of 1 in U
66.613 * [backup-simplify]: Simplify 1 into 1
66.613 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
66.613 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
66.613 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
66.613 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
66.613 * [backup-simplify]: Simplify (+ 0) into 0
66.614 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
66.614 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
66.614 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.615 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
66.615 * [backup-simplify]: Simplify (- 0) into 0
66.615 * [backup-simplify]: Simplify (+ 0 0) into 0
66.615 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
66.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
66.616 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
66.616 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
66.617 * [backup-simplify]: Simplify (+ 0 0) into 0
66.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
66.617 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K
66.617 * [taylor]: Taking taylor expansion of 1/2 in K
66.617 * [backup-simplify]: Simplify 1/2 into 1/2
66.617 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K
66.617 * [taylor]: Taking taylor expansion of J in K
66.617 * [backup-simplify]: Simplify J into J
66.617 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
66.617 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
66.617 * [taylor]: Taking taylor expansion of 1/2 in K
66.617 * [backup-simplify]: Simplify 1/2 into 1/2
66.617 * [taylor]: Taking taylor expansion of K in K
66.617 * [backup-simplify]: Simplify 0 into 0
66.617 * [backup-simplify]: Simplify 1 into 1
66.617 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
66.617 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
66.618 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K)))
66.618 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
66.618 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
66.618 * [taylor]: Taking taylor expansion of 1/2 in J
66.618 * [backup-simplify]: Simplify 1/2 into 1/2
66.618 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
66.618 * [taylor]: Taking taylor expansion of J in J
66.618 * [backup-simplify]: Simplify 0 into 0
66.618 * [backup-simplify]: Simplify 1 into 1
66.618 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
66.618 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
66.618 * [taylor]: Taking taylor expansion of 1/2 in J
66.618 * [backup-simplify]: Simplify 1/2 into 1/2
66.618 * [taylor]: Taking taylor expansion of K in J
66.618 * [backup-simplify]: Simplify K into K
66.618 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
66.618 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
66.618 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
66.618 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
66.618 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
66.618 * [backup-simplify]: Simplify (- 0) into 0
66.618 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
66.618 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
66.618 * [taylor]: Taking taylor expansion of 0 in K
66.618 * [backup-simplify]: Simplify 0 into 0
66.618 * [taylor]: Taking taylor expansion of 0 in J
66.618 * [backup-simplify]: Simplify 0 into 0
66.618 * [backup-simplify]: Simplify 0 into 0
66.619 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
66.619 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0
66.619 * [taylor]: Taking taylor expansion of 0 in J
66.619 * [backup-simplify]: Simplify 0 into 0
66.619 * [backup-simplify]: Simplify 0 into 0
66.619 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
66.619 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
66.619 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
66.620 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
66.620 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
66.621 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
66.621 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
66.621 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
66.622 * [backup-simplify]: Simplify (- 0) into 0
66.622 * [backup-simplify]: Simplify (+ 0 0) into 0
66.622 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
66.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
66.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
66.624 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
66.624 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
66.625 * [backup-simplify]: Simplify (+ 0 1) into 1
66.625 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
66.625 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
66.625 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
66.625 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
66.625 * [taylor]: Taking taylor expansion of 1/2 in K
66.625 * [backup-simplify]: Simplify 1/2 into 1/2
66.625 * [taylor]: Taking taylor expansion of K in K
66.625 * [backup-simplify]: Simplify 0 into 0
66.625 * [backup-simplify]: Simplify 1 into 1
66.626 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
66.626 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
66.626 * [taylor]: Taking taylor expansion of J in K
66.626 * [backup-simplify]: Simplify J into J
66.626 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
66.626 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
66.626 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
66.626 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
66.626 * [taylor]: Taking taylor expansion of 1/2 in J
66.626 * [backup-simplify]: Simplify 1/2 into 1/2
66.626 * [taylor]: Taking taylor expansion of K in J
66.626 * [backup-simplify]: Simplify K into K
66.626 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
66.626 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
66.626 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
66.626 * [taylor]: Taking taylor expansion of J in J
66.626 * [backup-simplify]: Simplify 0 into 0
66.626 * [backup-simplify]: Simplify 1 into 1
66.626 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
66.626 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
66.626 * [backup-simplify]: Simplify (- 0) into 0
66.627 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
66.627 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
66.627 * [backup-simplify]: Simplify (+ 0) into 0
66.627 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
66.627 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
66.628 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.628 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
66.628 * [backup-simplify]: Simplify (- 0) into 0
66.629 * [backup-simplify]: Simplify (+ 0 0) into 0
66.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
66.630 * [backup-simplify]: Simplify 0 into 0
66.630 * [taylor]: Taking taylor expansion of 0 in J
66.630 * [backup-simplify]: Simplify 0 into 0
66.630 * [backup-simplify]: Simplify 0 into 0
66.630 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
66.630 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0
66.630 * [taylor]: Taking taylor expansion of 0 in J
66.630 * [backup-simplify]: Simplify 0 into 0
66.631 * [backup-simplify]: Simplify 0 into 0
66.631 * [backup-simplify]: Simplify 0 into 0
66.631 * [backup-simplify]: Simplify 0 into 0
66.631 * [backup-simplify]: Simplify (+ 0) into 0
66.631 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
66.632 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
66.632 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.633 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
66.633 * [backup-simplify]: Simplify (- 0) into 0
66.633 * [backup-simplify]: Simplify (+ 0 0) into 0
66.634 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
66.634 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
66.634 * [backup-simplify]: Simplify 0 into 0
66.634 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
66.635 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
66.635 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0
66.635 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
66.635 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
66.635 * [taylor]: Taking taylor expansion of 1 in J
66.635 * [backup-simplify]: Simplify 1 into 1
66.635 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
66.635 * [taylor]: Taking taylor expansion of 1/4 in J
66.635 * [backup-simplify]: Simplify 1/4 into 1/4
66.635 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
66.635 * [taylor]: Taking taylor expansion of (pow J 2) in J
66.635 * [taylor]: Taking taylor expansion of J in J
66.635 * [backup-simplify]: Simplify 0 into 0
66.635 * [backup-simplify]: Simplify 1 into 1
66.635 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
66.635 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
66.635 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
66.635 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
66.635 * [taylor]: Taking taylor expansion of -1/2 in J
66.635 * [backup-simplify]: Simplify -1/2 into -1/2
66.635 * [taylor]: Taking taylor expansion of K in J
66.635 * [backup-simplify]: Simplify K into K
66.636 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
66.636 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
66.636 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
66.636 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
66.636 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
66.636 * [backup-simplify]: Simplify (- 0) into 0
66.636 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
66.636 * [taylor]: Taking taylor expansion of (pow U 2) in J
66.636 * [taylor]: Taking taylor expansion of U in J
66.636 * [backup-simplify]: Simplify U into U
66.637 * [backup-simplify]: Simplify (* 1 1) into 1
66.637 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
66.637 * [backup-simplify]: Simplify (* U U) into (pow U 2)
66.637 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
66.637 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
66.638 * [backup-simplify]: Simplify (+ 1 0) into 1
66.638 * [backup-simplify]: Simplify (sqrt 1) into 1
66.638 * [backup-simplify]: Simplify (+ 0 0) into 0
66.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
66.639 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
66.639 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
66.639 * [taylor]: Taking taylor expansion of 1 in K
66.639 * [backup-simplify]: Simplify 1 into 1
66.639 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
66.639 * [taylor]: Taking taylor expansion of 1/4 in K
66.639 * [backup-simplify]: Simplify 1/4 into 1/4
66.639 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
66.639 * [taylor]: Taking taylor expansion of (pow J 2) in K
66.639 * [taylor]: Taking taylor expansion of J in K
66.639 * [backup-simplify]: Simplify J into J
66.639 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
66.639 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
66.639 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
66.639 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
66.639 * [taylor]: Taking taylor expansion of -1/2 in K
66.639 * [backup-simplify]: Simplify -1/2 into -1/2
66.639 * [taylor]: Taking taylor expansion of K in K
66.639 * [backup-simplify]: Simplify 0 into 0
66.639 * [backup-simplify]: Simplify 1 into 1
66.640 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
66.640 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
66.640 * [taylor]: Taking taylor expansion of (pow U 2) in K
66.640 * [taylor]: Taking taylor expansion of U in K
66.640 * [backup-simplify]: Simplify U into U
66.640 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.640 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
66.640 * [backup-simplify]: Simplify (* U U) into (pow U 2)
66.641 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
66.641 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
66.641 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
66.641 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
66.642 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
66.642 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
66.642 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
66.642 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
66.642 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
66.643 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
66.644 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
66.644 * [backup-simplify]: Simplify (+ 0 0) into 0
66.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
66.645 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
66.645 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
66.645 * [taylor]: Taking taylor expansion of 1 in U
66.645 * [backup-simplify]: Simplify 1 into 1
66.645 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
66.645 * [taylor]: Taking taylor expansion of 1/4 in U
66.645 * [backup-simplify]: Simplify 1/4 into 1/4
66.645 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
66.645 * [taylor]: Taking taylor expansion of (pow J 2) in U
66.645 * [taylor]: Taking taylor expansion of J in U
66.645 * [backup-simplify]: Simplify J into J
66.645 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
66.645 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
66.645 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
66.645 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
66.645 * [taylor]: Taking taylor expansion of -1/2 in U
66.645 * [backup-simplify]: Simplify -1/2 into -1/2
66.645 * [taylor]: Taking taylor expansion of K in U
66.645 * [backup-simplify]: Simplify K into K
66.645 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
66.645 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
66.645 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
66.646 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
66.646 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
66.646 * [backup-simplify]: Simplify (- 0) into 0
66.646 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
66.646 * [taylor]: Taking taylor expansion of (pow U 2) in U
66.646 * [taylor]: Taking taylor expansion of U in U
66.646 * [backup-simplify]: Simplify 0 into 0
66.646 * [backup-simplify]: Simplify 1 into 1
66.646 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.646 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
66.647 * [backup-simplify]: Simplify (* 1 1) into 1
66.647 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
66.648 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
66.648 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
66.649 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
66.649 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
66.649 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
66.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.650 * [backup-simplify]: Simplify (+ 0) into 0
66.650 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
66.651 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
66.651 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.652 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
66.652 * [backup-simplify]: Simplify (- 0) into 0
66.653 * [backup-simplify]: Simplify (+ 0 0) into 0
66.653 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
66.657 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
66.658 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
66.659 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
66.659 * [backup-simplify]: Simplify (+ 0 0) into 0
66.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
66.660 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
66.660 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
66.660 * [taylor]: Taking taylor expansion of 1 in U
66.660 * [backup-simplify]: Simplify 1 into 1
66.660 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
66.660 * [taylor]: Taking taylor expansion of 1/4 in U
66.660 * [backup-simplify]: Simplify 1/4 into 1/4
66.660 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
66.660 * [taylor]: Taking taylor expansion of (pow J 2) in U
66.660 * [taylor]: Taking taylor expansion of J in U
66.660 * [backup-simplify]: Simplify J into J
66.660 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
66.660 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
66.660 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
66.660 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
66.660 * [taylor]: Taking taylor expansion of -1/2 in U
66.660 * [backup-simplify]: Simplify -1/2 into -1/2
66.660 * [taylor]: Taking taylor expansion of K in U
66.660 * [backup-simplify]: Simplify K into K
66.660 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
66.660 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
66.660 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
66.660 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
66.660 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
66.661 * [backup-simplify]: Simplify (- 0) into 0
66.661 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
66.661 * [taylor]: Taking taylor expansion of (pow U 2) in U
66.661 * [taylor]: Taking taylor expansion of U in U
66.661 * [backup-simplify]: Simplify 0 into 0
66.661 * [backup-simplify]: Simplify 1 into 1
66.661 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.661 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
66.662 * [backup-simplify]: Simplify (* 1 1) into 1
66.662 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
66.662 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
66.662 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
66.662 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
66.663 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
66.663 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
66.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.664 * [backup-simplify]: Simplify (+ 0) into 0
66.664 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
66.664 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
66.665 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.666 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
66.666 * [backup-simplify]: Simplify (- 0) into 0
66.666 * [backup-simplify]: Simplify (+ 0 0) into 0
66.667 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
66.667 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
66.668 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
66.668 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
66.669 * [backup-simplify]: Simplify (+ 0 0) into 0
66.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
66.669 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K
66.669 * [taylor]: Taking taylor expansion of 1/2 in K
66.669 * [backup-simplify]: Simplify 1/2 into 1/2
66.669 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K
66.669 * [taylor]: Taking taylor expansion of J in K
66.669 * [backup-simplify]: Simplify J into J
66.669 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
66.669 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
66.669 * [taylor]: Taking taylor expansion of -1/2 in K
66.669 * [backup-simplify]: Simplify -1/2 into -1/2
66.669 * [taylor]: Taking taylor expansion of K in K
66.669 * [backup-simplify]: Simplify 0 into 0
66.669 * [backup-simplify]: Simplify 1 into 1
66.670 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
66.670 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
66.670 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K)))
66.670 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
66.670 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
66.670 * [taylor]: Taking taylor expansion of 1/2 in J
66.670 * [backup-simplify]: Simplify 1/2 into 1/2
66.670 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
66.670 * [taylor]: Taking taylor expansion of J in J
66.670 * [backup-simplify]: Simplify 0 into 0
66.670 * [backup-simplify]: Simplify 1 into 1
66.670 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
66.670 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
66.670 * [taylor]: Taking taylor expansion of -1/2 in J
66.670 * [backup-simplify]: Simplify -1/2 into -1/2
66.670 * [taylor]: Taking taylor expansion of K in J
66.670 * [backup-simplify]: Simplify K into K
66.670 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
66.670 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
66.671 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
66.671 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
66.671 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
66.671 * [backup-simplify]: Simplify (- 0) into 0
66.671 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
66.671 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
66.671 * [taylor]: Taking taylor expansion of 0 in K
66.671 * [backup-simplify]: Simplify 0 into 0
66.671 * [taylor]: Taking taylor expansion of 0 in J
66.671 * [backup-simplify]: Simplify 0 into 0
66.671 * [backup-simplify]: Simplify 0 into 0
66.672 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
66.672 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0
66.672 * [taylor]: Taking taylor expansion of 0 in J
66.672 * [backup-simplify]: Simplify 0 into 0
66.672 * [backup-simplify]: Simplify 0 into 0
66.672 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
66.673 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
66.673 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
66.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
66.675 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
66.676 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
66.676 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
66.677 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
66.678 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
66.678 * [backup-simplify]: Simplify (- 0) into 0
66.678 * [backup-simplify]: Simplify (+ 0 0) into 0
66.679 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
66.680 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
66.680 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
66.681 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
66.682 * [backup-simplify]: Simplify (+ 1 0) into 1
66.683 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
66.683 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
66.683 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
66.683 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
66.683 * [taylor]: Taking taylor expansion of -1/2 in K
66.683 * [backup-simplify]: Simplify -1/2 into -1/2
66.683 * [taylor]: Taking taylor expansion of K in K
66.683 * [backup-simplify]: Simplify 0 into 0
66.683 * [backup-simplify]: Simplify 1 into 1
66.683 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
66.683 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
66.683 * [taylor]: Taking taylor expansion of J in K
66.683 * [backup-simplify]: Simplify J into J
66.683 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
66.684 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
66.684 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
66.684 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
66.684 * [taylor]: Taking taylor expansion of -1/2 in J
66.684 * [backup-simplify]: Simplify -1/2 into -1/2
66.684 * [taylor]: Taking taylor expansion of K in J
66.684 * [backup-simplify]: Simplify K into K
66.684 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
66.684 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
66.684 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
66.684 * [taylor]: Taking taylor expansion of J in J
66.684 * [backup-simplify]: Simplify 0 into 0
66.684 * [backup-simplify]: Simplify 1 into 1
66.684 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
66.684 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
66.685 * [backup-simplify]: Simplify (- 0) into 0
66.685 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
66.685 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
66.685 * [backup-simplify]: Simplify (+ 0) into 0
66.686 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
66.686 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
66.686 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.687 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
66.687 * [backup-simplify]: Simplify (- 0) into 0
66.688 * [backup-simplify]: Simplify (+ 0 0) into 0
66.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
66.689 * [backup-simplify]: Simplify 0 into 0
66.689 * [taylor]: Taking taylor expansion of 0 in J
66.689 * [backup-simplify]: Simplify 0 into 0
66.689 * [backup-simplify]: Simplify 0 into 0
66.689 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
66.690 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0
66.690 * [taylor]: Taking taylor expansion of 0 in J
66.690 * [backup-simplify]: Simplify 0 into 0
66.690 * [backup-simplify]: Simplify 0 into 0
66.690 * [backup-simplify]: Simplify 0 into 0
66.690 * [backup-simplify]: Simplify 0 into 0
66.691 * [backup-simplify]: Simplify (+ 0) into 0
66.691 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
66.691 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
66.692 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.692 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
66.693 * [backup-simplify]: Simplify (- 0) into 0
66.693 * [backup-simplify]: Simplify (+ 0 0) into 0
66.693 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
66.694 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
66.694 * [backup-simplify]: Simplify 0 into 0
66.694 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
66.694 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1)
66.695 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
66.695 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0
66.695 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
66.695 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
66.695 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
66.695 * [taylor]: Taking taylor expansion of 1/4 in J
66.695 * [backup-simplify]: Simplify 1/4 into 1/4
66.695 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
66.695 * [taylor]: Taking taylor expansion of (pow U 2) in J
66.695 * [taylor]: Taking taylor expansion of U in J
66.695 * [backup-simplify]: Simplify U into U
66.695 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
66.695 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
66.695 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
66.695 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
66.695 * [taylor]: Taking taylor expansion of 1/2 in J
66.695 * [backup-simplify]: Simplify 1/2 into 1/2
66.695 * [taylor]: Taking taylor expansion of K in J
66.695 * [backup-simplify]: Simplify K into K
66.695 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
66.695 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
66.695 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
66.696 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
66.696 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
66.696 * [backup-simplify]: Simplify (- 0) into 0
66.696 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
66.696 * [taylor]: Taking taylor expansion of (pow J 2) in J
66.696 * [taylor]: Taking taylor expansion of J in J
66.696 * [backup-simplify]: Simplify 0 into 0
66.696 * [backup-simplify]: Simplify 1 into 1
66.696 * [backup-simplify]: Simplify (* U U) into (pow U 2)
66.696 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
66.697 * [backup-simplify]: Simplify (* 1 1) into 1
66.697 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
66.697 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
66.697 * [taylor]: Taking taylor expansion of 1 in J
66.697 * [backup-simplify]: Simplify 1 into 1
66.697 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
66.698 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
66.698 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
66.698 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
66.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.699 * [backup-simplify]: Simplify (+ 0) into 0
66.700 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
66.700 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
66.701 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.702 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
66.702 * [backup-simplify]: Simplify (- 0) into 0
66.703 * [backup-simplify]: Simplify (+ 0 0) into 0
66.703 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
66.703 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
66.704 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
66.704 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
66.705 * [backup-simplify]: Simplify (+ 0 0) into 0
66.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
66.705 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
66.705 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
66.705 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
66.705 * [taylor]: Taking taylor expansion of 1/4 in K
66.705 * [backup-simplify]: Simplify 1/4 into 1/4
66.705 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
66.705 * [taylor]: Taking taylor expansion of (pow U 2) in K
66.705 * [taylor]: Taking taylor expansion of U in K
66.705 * [backup-simplify]: Simplify U into U
66.705 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
66.705 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
66.705 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
66.705 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
66.705 * [taylor]: Taking taylor expansion of 1/2 in K
66.706 * [backup-simplify]: Simplify 1/2 into 1/2
66.706 * [taylor]: Taking taylor expansion of K in K
66.706 * [backup-simplify]: Simplify 0 into 0
66.706 * [backup-simplify]: Simplify 1 into 1
66.706 * [backup-simplify]: Simplify (* 1/2 0) into 0
66.707 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
66.707 * [taylor]: Taking taylor expansion of (pow J 2) in K
66.707 * [taylor]: Taking taylor expansion of J in K
66.707 * [backup-simplify]: Simplify J into J
66.707 * [backup-simplify]: Simplify (* U U) into (pow U 2)
66.707 * [backup-simplify]: Simplify (* 1 1) into 1
66.707 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.708 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
66.708 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
66.708 * [taylor]: Taking taylor expansion of 1 in K
66.708 * [backup-simplify]: Simplify 1 into 1
66.708 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
66.708 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
66.708 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
66.708 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
66.709 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
66.709 * [backup-simplify]: Simplify (+ 0) into 0
66.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
66.710 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
66.711 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
66.711 * [backup-simplify]: Simplify (+ 0 0) into 0
66.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
66.712 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
66.712 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
66.712 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
66.712 * [taylor]: Taking taylor expansion of 1/4 in U
66.712 * [backup-simplify]: Simplify 1/4 into 1/4
66.712 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
66.712 * [taylor]: Taking taylor expansion of (pow U 2) in U
66.712 * [taylor]: Taking taylor expansion of U in U
66.712 * [backup-simplify]: Simplify 0 into 0
66.712 * [backup-simplify]: Simplify 1 into 1
66.712 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
66.712 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
66.712 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
66.712 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
66.712 * [taylor]: Taking taylor expansion of 1/2 in U
66.712 * [backup-simplify]: Simplify 1/2 into 1/2
66.712 * [taylor]: Taking taylor expansion of K in U
66.712 * [backup-simplify]: Simplify K into K
66.712 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
66.712 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
66.712 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
66.713 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
66.713 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
66.713 * [backup-simplify]: Simplify (- 0) into 0
66.713 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
66.713 * [taylor]: Taking taylor expansion of (pow J 2) in U
66.713 * [taylor]: Taking taylor expansion of J in U
66.713 * [backup-simplify]: Simplify J into J
66.714 * [backup-simplify]: Simplify (* 1 1) into 1
66.714 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
66.714 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.714 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
66.714 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
66.714 * [taylor]: Taking taylor expansion of 1 in U
66.714 * [backup-simplify]: Simplify 1 into 1
66.715 * [backup-simplify]: Simplify (+ 0 1) into 1
66.715 * [backup-simplify]: Simplify (sqrt 1) into 1
66.716 * [backup-simplify]: Simplify (+ 0 0) into 0
66.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
66.717 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
66.717 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
66.717 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
66.717 * [taylor]: Taking taylor expansion of 1/4 in U
66.717 * [backup-simplify]: Simplify 1/4 into 1/4
66.717 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
66.717 * [taylor]: Taking taylor expansion of (pow U 2) in U
66.717 * [taylor]: Taking taylor expansion of U in U
66.717 * [backup-simplify]: Simplify 0 into 0
66.717 * [backup-simplify]: Simplify 1 into 1
66.717 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
66.717 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
66.717 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
66.717 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
66.717 * [taylor]: Taking taylor expansion of 1/2 in U
66.717 * [backup-simplify]: Simplify 1/2 into 1/2
66.717 * [taylor]: Taking taylor expansion of K in U
66.717 * [backup-simplify]: Simplify K into K
66.717 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
66.717 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
66.717 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
66.718 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
66.718 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
66.718 * [backup-simplify]: Simplify (- 0) into 0
66.718 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
66.718 * [taylor]: Taking taylor expansion of (pow J 2) in U
66.718 * [taylor]: Taking taylor expansion of J in U
66.718 * [backup-simplify]: Simplify J into J
66.719 * [backup-simplify]: Simplify (* 1 1) into 1
66.719 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
66.719 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.719 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
66.720 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
66.720 * [taylor]: Taking taylor expansion of 1 in U
66.720 * [backup-simplify]: Simplify 1 into 1
66.720 * [backup-simplify]: Simplify (+ 0 1) into 1
66.720 * [backup-simplify]: Simplify (sqrt 1) into 1
66.721 * [backup-simplify]: Simplify (+ 0 0) into 0
66.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
66.722 * [taylor]: Taking taylor expansion of 1 in K
66.722 * [backup-simplify]: Simplify 1 into 1
66.722 * [taylor]: Taking taylor expansion of 1 in J
66.722 * [backup-simplify]: Simplify 1 into 1
66.722 * [taylor]: Taking taylor expansion of 0 in K
66.722 * [backup-simplify]: Simplify 0 into 0
66.722 * [taylor]: Taking taylor expansion of 0 in J
66.722 * [backup-simplify]: Simplify 0 into 0
66.722 * [taylor]: Taking taylor expansion of 0 in J
66.722 * [backup-simplify]: Simplify 0 into 0
66.722 * [backup-simplify]: Simplify 1 into 1
66.722 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
66.723 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
66.724 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
66.724 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
66.724 * [taylor]: Taking taylor expansion of 1/8 in K
66.724 * [backup-simplify]: Simplify 1/8 into 1/8
66.724 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
66.724 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
66.724 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
66.724 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
66.724 * [taylor]: Taking taylor expansion of 1/2 in K
66.724 * [backup-simplify]: Simplify 1/2 into 1/2
66.724 * [taylor]: Taking taylor expansion of K in K
66.724 * [backup-simplify]: Simplify 0 into 0
66.724 * [backup-simplify]: Simplify 1 into 1
66.725 * [backup-simplify]: Simplify (* 1/2 0) into 0
66.726 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
66.726 * [taylor]: Taking taylor expansion of (pow J 2) in K
66.726 * [taylor]: Taking taylor expansion of J in K
66.726 * [backup-simplify]: Simplify J into J
66.726 * [backup-simplify]: Simplify (* 1 1) into 1
66.726 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.726 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
66.726 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2))
66.726 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J
66.726 * [taylor]: Taking taylor expansion of 1/8 in J
66.726 * [backup-simplify]: Simplify 1/8 into 1/8
66.726 * [taylor]: Taking taylor expansion of (pow J 2) in J
66.726 * [taylor]: Taking taylor expansion of J in J
66.726 * [backup-simplify]: Simplify 0 into 0
66.727 * [backup-simplify]: Simplify 1 into 1
66.727 * [backup-simplify]: Simplify (* 1 1) into 1
66.727 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8
66.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0
66.729 * [backup-simplify]: Simplify 0 into 0
66.729 * [taylor]: Taking taylor expansion of 0 in J
66.729 * [backup-simplify]: Simplify 0 into 0
66.729 * [taylor]: Taking taylor expansion of 0 in J
66.729 * [backup-simplify]: Simplify 0 into 0
66.729 * [backup-simplify]: Simplify 0 into 0
66.729 * [backup-simplify]: Simplify 0 into 0
66.729 * [backup-simplify]: Simplify 0 into 0
66.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.730 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
66.730 * [backup-simplify]: Simplify (+ 0) into 0
66.731 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
66.732 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
66.732 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.733 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
66.733 * [backup-simplify]: Simplify (- 0) into 0
66.734 * [backup-simplify]: Simplify (+ 0 0) into 0
66.734 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
66.734 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
66.734 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
66.735 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
66.736 * [backup-simplify]: Simplify (+ 0 0) into 0
66.737 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
66.737 * [taylor]: Taking taylor expansion of 0 in K
66.737 * [backup-simplify]: Simplify 0 into 0
66.737 * [taylor]: Taking taylor expansion of 0 in J
66.737 * [backup-simplify]: Simplify 0 into 0
66.737 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
66.737 * [backup-simplify]: Simplify (+ 0) into 0
66.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
66.739 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0
66.739 * [taylor]: Taking taylor expansion of 0 in J
66.739 * [backup-simplify]: Simplify 0 into 0
66.739 * [taylor]: Taking taylor expansion of 0 in J
66.739 * [backup-simplify]: Simplify 0 into 0
66.739 * [taylor]: Taking taylor expansion of 0 in J
66.739 * [backup-simplify]: Simplify 0 into 0
66.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
66.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.741 * [backup-simplify]: Simplify 0 into 0
66.741 * [backup-simplify]: Simplify 0 into 0
66.741 * [backup-simplify]: Simplify 1 into 1
66.742 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
66.742 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0
66.742 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
66.742 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
66.742 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
66.742 * [taylor]: Taking taylor expansion of 1/4 in J
66.742 * [backup-simplify]: Simplify 1/4 into 1/4
66.742 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
66.742 * [taylor]: Taking taylor expansion of (pow J 2) in J
66.742 * [taylor]: Taking taylor expansion of J in J
66.742 * [backup-simplify]: Simplify 0 into 0
66.742 * [backup-simplify]: Simplify 1 into 1
66.742 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
66.742 * [taylor]: Taking taylor expansion of (pow U 2) in J
66.742 * [taylor]: Taking taylor expansion of U in J
66.742 * [backup-simplify]: Simplify U into U
66.742 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
66.742 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
66.742 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
66.742 * [taylor]: Taking taylor expansion of 1/2 in J
66.742 * [backup-simplify]: Simplify 1/2 into 1/2
66.742 * [taylor]: Taking taylor expansion of K in J
66.742 * [backup-simplify]: Simplify K into K
66.742 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
66.742 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
66.743 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
66.743 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
66.743 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
66.743 * [backup-simplify]: Simplify (- 0) into 0
66.743 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
66.744 * [backup-simplify]: Simplify (* 1 1) into 1
66.744 * [backup-simplify]: Simplify (* U U) into (pow U 2)
66.744 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
66.744 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
66.744 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
66.744 * [taylor]: Taking taylor expansion of 1 in J
66.744 * [backup-simplify]: Simplify 1 into 1
66.745 * [backup-simplify]: Simplify (+ 0 1) into 1
66.745 * [backup-simplify]: Simplify (sqrt 1) into 1
66.745 * [backup-simplify]: Simplify (+ 0 0) into 0
66.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
66.746 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
66.746 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
66.746 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
66.746 * [taylor]: Taking taylor expansion of 1/4 in K
66.746 * [backup-simplify]: Simplify 1/4 into 1/4
66.746 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
66.746 * [taylor]: Taking taylor expansion of (pow J 2) in K
66.746 * [taylor]: Taking taylor expansion of J in K
66.746 * [backup-simplify]: Simplify J into J
66.747 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
66.747 * [taylor]: Taking taylor expansion of (pow U 2) in K
66.747 * [taylor]: Taking taylor expansion of U in K
66.747 * [backup-simplify]: Simplify U into U
66.747 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
66.747 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
66.747 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
66.747 * [taylor]: Taking taylor expansion of 1/2 in K
66.747 * [backup-simplify]: Simplify 1/2 into 1/2
66.747 * [taylor]: Taking taylor expansion of K in K
66.747 * [backup-simplify]: Simplify 0 into 0
66.747 * [backup-simplify]: Simplify 1 into 1
66.747 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
66.747 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
66.747 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.748 * [backup-simplify]: Simplify (* U U) into (pow U 2)
66.748 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
66.748 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
66.748 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
66.748 * [taylor]: Taking taylor expansion of 1 in K
66.748 * [backup-simplify]: Simplify 1 into 1
66.748 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
66.749 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
66.749 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
66.749 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
66.749 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
66.749 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
66.750 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
66.750 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
66.751 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
66.751 * [backup-simplify]: Simplify (+ 0 0) into 0
66.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
66.752 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
66.752 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
66.752 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
66.752 * [taylor]: Taking taylor expansion of 1/4 in U
66.752 * [backup-simplify]: Simplify 1/4 into 1/4
66.752 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
66.752 * [taylor]: Taking taylor expansion of (pow J 2) in U
66.752 * [taylor]: Taking taylor expansion of J in U
66.752 * [backup-simplify]: Simplify J into J
66.752 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
66.752 * [taylor]: Taking taylor expansion of (pow U 2) in U
66.752 * [taylor]: Taking taylor expansion of U in U
66.752 * [backup-simplify]: Simplify 0 into 0
66.752 * [backup-simplify]: Simplify 1 into 1
66.752 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
66.752 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
66.752 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
66.752 * [taylor]: Taking taylor expansion of 1/2 in U
66.752 * [backup-simplify]: Simplify 1/2 into 1/2
66.752 * [taylor]: Taking taylor expansion of K in U
66.753 * [backup-simplify]: Simplify K into K
66.753 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
66.753 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
66.753 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
66.753 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
66.753 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
66.753 * [backup-simplify]: Simplify (- 0) into 0
66.753 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
66.753 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.754 * [backup-simplify]: Simplify (* 1 1) into 1
66.754 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
66.754 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
66.754 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
66.754 * [taylor]: Taking taylor expansion of 1 in U
66.754 * [backup-simplify]: Simplify 1 into 1
66.755 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
66.755 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
66.755 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
66.755 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
66.756 * [backup-simplify]: Simplify (+ 0) into 0
66.756 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
66.756 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
66.757 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.758 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
66.758 * [backup-simplify]: Simplify (- 0) into 0
66.758 * [backup-simplify]: Simplify (+ 0 0) into 0
66.758 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
66.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
66.760 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
66.761 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
66.761 * [backup-simplify]: Simplify (+ 0 0) into 0
66.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
66.761 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
66.761 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
66.762 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
66.762 * [taylor]: Taking taylor expansion of 1/4 in U
66.762 * [backup-simplify]: Simplify 1/4 into 1/4
66.762 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
66.762 * [taylor]: Taking taylor expansion of (pow J 2) in U
66.762 * [taylor]: Taking taylor expansion of J in U
66.762 * [backup-simplify]: Simplify J into J
66.762 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
66.762 * [taylor]: Taking taylor expansion of (pow U 2) in U
66.762 * [taylor]: Taking taylor expansion of U in U
66.762 * [backup-simplify]: Simplify 0 into 0
66.762 * [backup-simplify]: Simplify 1 into 1
66.762 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
66.762 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
66.762 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
66.762 * [taylor]: Taking taylor expansion of 1/2 in U
66.762 * [backup-simplify]: Simplify 1/2 into 1/2
66.762 * [taylor]: Taking taylor expansion of K in U
66.762 * [backup-simplify]: Simplify K into K
66.762 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
66.762 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
66.762 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
66.762 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
66.762 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
66.763 * [backup-simplify]: Simplify (- 0) into 0
66.763 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
66.763 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.763 * [backup-simplify]: Simplify (* 1 1) into 1
66.764 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
66.764 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
66.764 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
66.764 * [taylor]: Taking taylor expansion of 1 in U
66.764 * [backup-simplify]: Simplify 1 into 1
66.764 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
66.764 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
66.765 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
66.765 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
66.765 * [backup-simplify]: Simplify (+ 0) into 0
66.766 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
66.766 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
66.767 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.768 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
66.768 * [backup-simplify]: Simplify (- 0) into 0
66.769 * [backup-simplify]: Simplify (+ 0 0) into 0
66.769 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
66.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
66.771 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
66.771 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
66.772 * [backup-simplify]: Simplify (+ 0 0) into 0
66.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
66.772 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K
66.772 * [taylor]: Taking taylor expansion of 1/2 in K
66.772 * [backup-simplify]: Simplify 1/2 into 1/2
66.772 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K
66.772 * [taylor]: Taking taylor expansion of J in K
66.772 * [backup-simplify]: Simplify J into J
66.773 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
66.773 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
66.773 * [taylor]: Taking taylor expansion of 1/2 in K
66.773 * [backup-simplify]: Simplify 1/2 into 1/2
66.773 * [taylor]: Taking taylor expansion of K in K
66.773 * [backup-simplify]: Simplify 0 into 0
66.773 * [backup-simplify]: Simplify 1 into 1
66.773 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
66.773 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
66.773 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K)))
66.773 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
66.773 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
66.773 * [taylor]: Taking taylor expansion of 1/2 in J
66.774 * [backup-simplify]: Simplify 1/2 into 1/2
66.774 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
66.774 * [taylor]: Taking taylor expansion of J in J
66.774 * [backup-simplify]: Simplify 0 into 0
66.774 * [backup-simplify]: Simplify 1 into 1
66.774 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
66.774 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
66.774 * [taylor]: Taking taylor expansion of 1/2 in J
66.774 * [backup-simplify]: Simplify 1/2 into 1/2
66.774 * [taylor]: Taking taylor expansion of K in J
66.774 * [backup-simplify]: Simplify K into K
66.774 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
66.774 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
66.774 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
66.774 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
66.774 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
66.774 * [backup-simplify]: Simplify (- 0) into 0
66.775 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
66.775 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
66.775 * [taylor]: Taking taylor expansion of 0 in K
66.775 * [backup-simplify]: Simplify 0 into 0
66.775 * [taylor]: Taking taylor expansion of 0 in J
66.775 * [backup-simplify]: Simplify 0 into 0
66.775 * [backup-simplify]: Simplify 0 into 0
66.775 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
66.776 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0
66.776 * [taylor]: Taking taylor expansion of 0 in J
66.776 * [backup-simplify]: Simplify 0 into 0
66.776 * [backup-simplify]: Simplify 0 into 0
66.776 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
66.776 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
66.777 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
66.778 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
66.778 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
66.779 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
66.779 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
66.780 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
66.780 * [backup-simplify]: Simplify (- 0) into 0
66.781 * [backup-simplify]: Simplify (+ 0 0) into 0
66.781 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
66.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
66.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
66.783 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
66.784 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
66.785 * [backup-simplify]: Simplify (+ 0 1) into 1
66.786 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
66.786 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
66.786 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
66.786 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
66.786 * [taylor]: Taking taylor expansion of 1/2 in K
66.786 * [backup-simplify]: Simplify 1/2 into 1/2
66.786 * [taylor]: Taking taylor expansion of K in K
66.786 * [backup-simplify]: Simplify 0 into 0
66.786 * [backup-simplify]: Simplify 1 into 1
66.787 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
66.787 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
66.787 * [taylor]: Taking taylor expansion of J in K
66.787 * [backup-simplify]: Simplify J into J
66.787 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
66.787 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
66.787 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
66.787 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
66.787 * [taylor]: Taking taylor expansion of 1/2 in J
66.787 * [backup-simplify]: Simplify 1/2 into 1/2
66.787 * [taylor]: Taking taylor expansion of K in J
66.787 * [backup-simplify]: Simplify K into K
66.787 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
66.787 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
66.787 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
66.787 * [taylor]: Taking taylor expansion of J in J
66.787 * [backup-simplify]: Simplify 0 into 0
66.787 * [backup-simplify]: Simplify 1 into 1
66.788 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
66.788 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
66.788 * [backup-simplify]: Simplify (- 0) into 0
66.788 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
66.788 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
66.789 * [backup-simplify]: Simplify (+ 0) into 0
66.789 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
66.789 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
66.790 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.791 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
66.791 * [backup-simplify]: Simplify (- 0) into 0
66.791 * [backup-simplify]: Simplify (+ 0 0) into 0
66.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
66.792 * [backup-simplify]: Simplify 0 into 0
66.792 * [taylor]: Taking taylor expansion of 0 in J
66.792 * [backup-simplify]: Simplify 0 into 0
66.792 * [backup-simplify]: Simplify 0 into 0
66.793 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
66.794 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0
66.794 * [taylor]: Taking taylor expansion of 0 in J
66.794 * [backup-simplify]: Simplify 0 into 0
66.794 * [backup-simplify]: Simplify 0 into 0
66.794 * [backup-simplify]: Simplify 0 into 0
66.794 * [backup-simplify]: Simplify 0 into 0
66.794 * [backup-simplify]: Simplify (+ 0) into 0
66.795 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
66.795 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
66.796 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.796 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
66.797 * [backup-simplify]: Simplify (- 0) into 0
66.797 * [backup-simplify]: Simplify (+ 0 0) into 0
66.797 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
66.798 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
66.798 * [backup-simplify]: Simplify 0 into 0
66.798 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
66.799 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
66.799 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0
66.799 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
66.799 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
66.799 * [taylor]: Taking taylor expansion of 1 in J
66.799 * [backup-simplify]: Simplify 1 into 1
66.799 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
66.799 * [taylor]: Taking taylor expansion of 1/4 in J
66.799 * [backup-simplify]: Simplify 1/4 into 1/4
66.799 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
66.799 * [taylor]: Taking taylor expansion of (pow J 2) in J
66.799 * [taylor]: Taking taylor expansion of J in J
66.799 * [backup-simplify]: Simplify 0 into 0
66.799 * [backup-simplify]: Simplify 1 into 1
66.799 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
66.799 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
66.799 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
66.799 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
66.799 * [taylor]: Taking taylor expansion of -1/2 in J
66.799 * [backup-simplify]: Simplify -1/2 into -1/2
66.799 * [taylor]: Taking taylor expansion of K in J
66.799 * [backup-simplify]: Simplify K into K
66.799 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
66.799 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
66.799 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
66.800 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
66.800 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
66.800 * [backup-simplify]: Simplify (- 0) into 0
66.800 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
66.800 * [taylor]: Taking taylor expansion of (pow U 2) in J
66.800 * [taylor]: Taking taylor expansion of U in J
66.800 * [backup-simplify]: Simplify U into U
66.801 * [backup-simplify]: Simplify (* 1 1) into 1
66.801 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
66.801 * [backup-simplify]: Simplify (* U U) into (pow U 2)
66.801 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
66.801 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
66.802 * [backup-simplify]: Simplify (+ 1 0) into 1
66.802 * [backup-simplify]: Simplify (sqrt 1) into 1
66.802 * [backup-simplify]: Simplify (+ 0 0) into 0
66.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
66.803 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
66.803 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
66.803 * [taylor]: Taking taylor expansion of 1 in K
66.803 * [backup-simplify]: Simplify 1 into 1
66.803 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
66.803 * [taylor]: Taking taylor expansion of 1/4 in K
66.803 * [backup-simplify]: Simplify 1/4 into 1/4
66.803 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
66.803 * [taylor]: Taking taylor expansion of (pow J 2) in K
66.803 * [taylor]: Taking taylor expansion of J in K
66.803 * [backup-simplify]: Simplify J into J
66.803 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
66.803 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
66.803 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
66.803 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
66.803 * [taylor]: Taking taylor expansion of -1/2 in K
66.803 * [backup-simplify]: Simplify -1/2 into -1/2
66.803 * [taylor]: Taking taylor expansion of K in K
66.803 * [backup-simplify]: Simplify 0 into 0
66.803 * [backup-simplify]: Simplify 1 into 1
66.803 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
66.804 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
66.804 * [taylor]: Taking taylor expansion of (pow U 2) in K
66.804 * [taylor]: Taking taylor expansion of U in K
66.804 * [backup-simplify]: Simplify U into U
66.804 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.804 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
66.804 * [backup-simplify]: Simplify (* U U) into (pow U 2)
66.804 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
66.804 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
66.804 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
66.804 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
66.805 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
66.805 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
66.805 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
66.805 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
66.805 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
66.805 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
66.806 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
66.806 * [backup-simplify]: Simplify (+ 0 0) into 0
66.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
66.806 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
66.806 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
66.806 * [taylor]: Taking taylor expansion of 1 in U
66.806 * [backup-simplify]: Simplify 1 into 1
66.806 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
66.806 * [taylor]: Taking taylor expansion of 1/4 in U
66.806 * [backup-simplify]: Simplify 1/4 into 1/4
66.806 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
66.806 * [taylor]: Taking taylor expansion of (pow J 2) in U
66.806 * [taylor]: Taking taylor expansion of J in U
66.806 * [backup-simplify]: Simplify J into J
66.806 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
66.806 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
66.806 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
66.806 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
66.806 * [taylor]: Taking taylor expansion of -1/2 in U
66.806 * [backup-simplify]: Simplify -1/2 into -1/2
66.806 * [taylor]: Taking taylor expansion of K in U
66.806 * [backup-simplify]: Simplify K into K
66.806 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
66.806 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
66.807 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
66.807 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
66.807 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
66.807 * [backup-simplify]: Simplify (- 0) into 0
66.807 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
66.807 * [taylor]: Taking taylor expansion of (pow U 2) in U
66.807 * [taylor]: Taking taylor expansion of U in U
66.807 * [backup-simplify]: Simplify 0 into 0
66.807 * [backup-simplify]: Simplify 1 into 1
66.807 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.807 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
66.807 * [backup-simplify]: Simplify (* 1 1) into 1
66.807 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
66.808 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
66.808 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
66.808 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
66.808 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
66.808 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
66.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.809 * [backup-simplify]: Simplify (+ 0) into 0
66.812 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
66.812 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
66.813 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.813 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
66.813 * [backup-simplify]: Simplify (- 0) into 0
66.814 * [backup-simplify]: Simplify (+ 0 0) into 0
66.814 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
66.814 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
66.814 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
66.815 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
66.815 * [backup-simplify]: Simplify (+ 0 0) into 0
66.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
66.815 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
66.815 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
66.815 * [taylor]: Taking taylor expansion of 1 in U
66.815 * [backup-simplify]: Simplify 1 into 1
66.815 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
66.815 * [taylor]: Taking taylor expansion of 1/4 in U
66.815 * [backup-simplify]: Simplify 1/4 into 1/4
66.815 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
66.815 * [taylor]: Taking taylor expansion of (pow J 2) in U
66.815 * [taylor]: Taking taylor expansion of J in U
66.815 * [backup-simplify]: Simplify J into J
66.815 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
66.815 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
66.815 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
66.815 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
66.815 * [taylor]: Taking taylor expansion of -1/2 in U
66.815 * [backup-simplify]: Simplify -1/2 into -1/2
66.815 * [taylor]: Taking taylor expansion of K in U
66.815 * [backup-simplify]: Simplify K into K
66.816 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
66.816 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
66.816 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
66.816 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
66.816 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
66.816 * [backup-simplify]: Simplify (- 0) into 0
66.816 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
66.816 * [taylor]: Taking taylor expansion of (pow U 2) in U
66.816 * [taylor]: Taking taylor expansion of U in U
66.816 * [backup-simplify]: Simplify 0 into 0
66.816 * [backup-simplify]: Simplify 1 into 1
66.816 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.816 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
66.816 * [backup-simplify]: Simplify (* 1 1) into 1
66.817 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
66.817 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
66.817 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
66.817 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
66.817 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
66.817 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
66.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.818 * [backup-simplify]: Simplify (+ 0) into 0
66.818 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
66.818 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
66.819 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.819 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
66.819 * [backup-simplify]: Simplify (- 0) into 0
66.819 * [backup-simplify]: Simplify (+ 0 0) into 0
66.819 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
66.820 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
66.820 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
66.820 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
66.821 * [backup-simplify]: Simplify (+ 0 0) into 0
66.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
66.821 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K
66.821 * [taylor]: Taking taylor expansion of 1/2 in K
66.821 * [backup-simplify]: Simplify 1/2 into 1/2
66.821 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K
66.821 * [taylor]: Taking taylor expansion of J in K
66.821 * [backup-simplify]: Simplify J into J
66.821 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
66.821 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
66.821 * [taylor]: Taking taylor expansion of -1/2 in K
66.821 * [backup-simplify]: Simplify -1/2 into -1/2
66.821 * [taylor]: Taking taylor expansion of K in K
66.821 * [backup-simplify]: Simplify 0 into 0
66.821 * [backup-simplify]: Simplify 1 into 1
66.821 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
66.821 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
66.822 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K)))
66.822 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
66.822 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
66.822 * [taylor]: Taking taylor expansion of 1/2 in J
66.822 * [backup-simplify]: Simplify 1/2 into 1/2
66.822 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
66.822 * [taylor]: Taking taylor expansion of J in J
66.822 * [backup-simplify]: Simplify 0 into 0
66.822 * [backup-simplify]: Simplify 1 into 1
66.822 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
66.822 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
66.822 * [taylor]: Taking taylor expansion of -1/2 in J
66.822 * [backup-simplify]: Simplify -1/2 into -1/2
66.822 * [taylor]: Taking taylor expansion of K in J
66.822 * [backup-simplify]: Simplify K into K
66.822 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
66.822 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
66.822 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
66.822 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
66.822 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
66.822 * [backup-simplify]: Simplify (- 0) into 0
66.822 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
66.822 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
66.822 * [taylor]: Taking taylor expansion of 0 in K
66.822 * [backup-simplify]: Simplify 0 into 0
66.822 * [taylor]: Taking taylor expansion of 0 in J
66.822 * [backup-simplify]: Simplify 0 into 0
66.822 * [backup-simplify]: Simplify 0 into 0
66.823 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
66.823 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0
66.823 * [taylor]: Taking taylor expansion of 0 in J
66.823 * [backup-simplify]: Simplify 0 into 0
66.823 * [backup-simplify]: Simplify 0 into 0
66.823 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
66.823 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
66.823 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
66.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
66.825 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
66.825 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
66.825 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
66.826 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
66.826 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
66.826 * [backup-simplify]: Simplify (- 0) into 0
66.826 * [backup-simplify]: Simplify (+ 0 0) into 0
66.827 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
66.827 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
66.827 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
66.828 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
66.828 * [backup-simplify]: Simplify (+ 1 0) into 1
66.829 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
66.829 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
66.829 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
66.829 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
66.829 * [taylor]: Taking taylor expansion of -1/2 in K
66.829 * [backup-simplify]: Simplify -1/2 into -1/2
66.829 * [taylor]: Taking taylor expansion of K in K
66.829 * [backup-simplify]: Simplify 0 into 0
66.829 * [backup-simplify]: Simplify 1 into 1
66.829 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
66.829 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
66.829 * [taylor]: Taking taylor expansion of J in K
66.829 * [backup-simplify]: Simplify J into J
66.829 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
66.829 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
66.830 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
66.830 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
66.830 * [taylor]: Taking taylor expansion of -1/2 in J
66.830 * [backup-simplify]: Simplify -1/2 into -1/2
66.830 * [taylor]: Taking taylor expansion of K in J
66.830 * [backup-simplify]: Simplify K into K
66.830 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
66.830 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
66.830 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
66.830 * [taylor]: Taking taylor expansion of J in J
66.830 * [backup-simplify]: Simplify 0 into 0
66.830 * [backup-simplify]: Simplify 1 into 1
66.830 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
66.830 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
66.830 * [backup-simplify]: Simplify (- 0) into 0
66.830 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
66.830 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
66.830 * [backup-simplify]: Simplify (+ 0) into 0
66.831 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
66.831 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
66.832 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.832 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
66.833 * [backup-simplify]: Simplify (- 0) into 0
66.833 * [backup-simplify]: Simplify (+ 0 0) into 0
66.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
66.834 * [backup-simplify]: Simplify 0 into 0
66.834 * [taylor]: Taking taylor expansion of 0 in J
66.834 * [backup-simplify]: Simplify 0 into 0
66.834 * [backup-simplify]: Simplify 0 into 0
66.835 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
66.836 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0
66.836 * [taylor]: Taking taylor expansion of 0 in J
66.836 * [backup-simplify]: Simplify 0 into 0
66.836 * [backup-simplify]: Simplify 0 into 0
66.836 * [backup-simplify]: Simplify 0 into 0
66.836 * [backup-simplify]: Simplify 0 into 0
66.837 * [backup-simplify]: Simplify (+ 0) into 0
66.837 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
66.838 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
66.838 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.839 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
66.839 * [backup-simplify]: Simplify (- 0) into 0
66.840 * [backup-simplify]: Simplify (+ 0 0) into 0
66.840 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
66.840 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
66.840 * [backup-simplify]: Simplify 0 into 0
66.841 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
66.841 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
66.842 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))))
66.842 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (U K J) around 0
66.842 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J
66.842 * [taylor]: Taking taylor expansion of -2 in J
66.842 * [backup-simplify]: Simplify -2 into -2
66.842 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J
66.842 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
66.842 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
66.842 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
66.842 * [taylor]: Taking taylor expansion of 1/2 in J
66.842 * [backup-simplify]: Simplify 1/2 into 1/2
66.842 * [taylor]: Taking taylor expansion of K in J
66.842 * [backup-simplify]: Simplify K into K
66.842 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
66.842 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
66.842 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
66.843 * [taylor]: Taking taylor expansion of J in J
66.843 * [backup-simplify]: Simplify 0 into 0
66.843 * [backup-simplify]: Simplify 1 into 1
66.843 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
66.843 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
66.843 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
66.843 * [taylor]: Taking taylor expansion of 1/4 in J
66.843 * [backup-simplify]: Simplify 1/4 into 1/4
66.843 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
66.843 * [taylor]: Taking taylor expansion of (pow U 2) in J
66.843 * [taylor]: Taking taylor expansion of U in J
66.843 * [backup-simplify]: Simplify U into U
66.843 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
66.843 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
66.843 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
66.843 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
66.843 * [taylor]: Taking taylor expansion of 1/2 in J
66.843 * [backup-simplify]: Simplify 1/2 into 1/2
66.843 * [taylor]: Taking taylor expansion of K in J
66.843 * [backup-simplify]: Simplify K into K
66.843 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
66.843 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
66.843 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
66.843 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
66.844 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
66.844 * [backup-simplify]: Simplify (- 0) into 0
66.844 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
66.844 * [taylor]: Taking taylor expansion of (pow J 2) in J
66.844 * [taylor]: Taking taylor expansion of J in J
66.844 * [backup-simplify]: Simplify 0 into 0
66.844 * [backup-simplify]: Simplify 1 into 1
66.844 * [backup-simplify]: Simplify (* U U) into (pow U 2)
66.844 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
66.845 * [backup-simplify]: Simplify (* 1 1) into 1
66.845 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
66.845 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
66.845 * [taylor]: Taking taylor expansion of 1 in J
66.845 * [backup-simplify]: Simplify 1 into 1
66.845 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
66.846 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
66.846 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
66.846 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
66.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.847 * [backup-simplify]: Simplify (+ 0) into 0
66.848 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
66.848 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
66.849 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.850 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
66.850 * [backup-simplify]: Simplify (- 0) into 0
66.850 * [backup-simplify]: Simplify (+ 0 0) into 0
66.851 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
66.851 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
66.852 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
66.852 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
66.853 * [backup-simplify]: Simplify (+ 0 0) into 0
66.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
66.853 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K
66.853 * [taylor]: Taking taylor expansion of -2 in K
66.853 * [backup-simplify]: Simplify -2 into -2
66.853 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K
66.853 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
66.853 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
66.853 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
66.853 * [taylor]: Taking taylor expansion of 1/2 in K
66.853 * [backup-simplify]: Simplify 1/2 into 1/2
66.853 * [taylor]: Taking taylor expansion of K in K
66.853 * [backup-simplify]: Simplify 0 into 0
66.853 * [backup-simplify]: Simplify 1 into 1
66.854 * [backup-simplify]: Simplify (* 1/2 0) into 0
66.854 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
66.854 * [taylor]: Taking taylor expansion of J in K
66.855 * [backup-simplify]: Simplify J into J
66.855 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
66.855 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
66.855 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
66.855 * [taylor]: Taking taylor expansion of 1/4 in K
66.855 * [backup-simplify]: Simplify 1/4 into 1/4
66.855 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
66.855 * [taylor]: Taking taylor expansion of (pow U 2) in K
66.855 * [taylor]: Taking taylor expansion of U in K
66.855 * [backup-simplify]: Simplify U into U
66.855 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
66.855 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
66.855 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
66.855 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
66.855 * [taylor]: Taking taylor expansion of 1/2 in K
66.855 * [backup-simplify]: Simplify 1/2 into 1/2
66.855 * [taylor]: Taking taylor expansion of K in K
66.855 * [backup-simplify]: Simplify 0 into 0
66.855 * [backup-simplify]: Simplify 1 into 1
66.856 * [backup-simplify]: Simplify (* 1/2 0) into 0
66.856 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
66.856 * [taylor]: Taking taylor expansion of (pow J 2) in K
66.856 * [taylor]: Taking taylor expansion of J in K
66.856 * [backup-simplify]: Simplify J into J
66.856 * [backup-simplify]: Simplify (* U U) into (pow U 2)
66.857 * [backup-simplify]: Simplify (* 1 1) into 1
66.857 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.857 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
66.857 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
66.857 * [taylor]: Taking taylor expansion of 1 in K
66.857 * [backup-simplify]: Simplify 1 into 1
66.857 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
66.858 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
66.858 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
66.858 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
66.858 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
66.858 * [backup-simplify]: Simplify (+ 0) into 0
66.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
66.860 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
66.861 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
66.861 * [backup-simplify]: Simplify (+ 0 0) into 0
66.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
66.861 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U
66.861 * [taylor]: Taking taylor expansion of -2 in U
66.861 * [backup-simplify]: Simplify -2 into -2
66.862 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U
66.862 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
66.862 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
66.862 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
66.862 * [taylor]: Taking taylor expansion of 1/2 in U
66.862 * [backup-simplify]: Simplify 1/2 into 1/2
66.862 * [taylor]: Taking taylor expansion of K in U
66.862 * [backup-simplify]: Simplify K into K
66.862 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
66.862 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
66.862 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
66.862 * [taylor]: Taking taylor expansion of J in U
66.862 * [backup-simplify]: Simplify J into J
66.862 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
66.862 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
66.862 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
66.862 * [taylor]: Taking taylor expansion of 1/4 in U
66.862 * [backup-simplify]: Simplify 1/4 into 1/4
66.862 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
66.862 * [taylor]: Taking taylor expansion of (pow U 2) in U
66.862 * [taylor]: Taking taylor expansion of U in U
66.862 * [backup-simplify]: Simplify 0 into 0
66.862 * [backup-simplify]: Simplify 1 into 1
66.862 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
66.863 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
66.863 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
66.863 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
66.863 * [taylor]: Taking taylor expansion of 1/2 in U
66.863 * [backup-simplify]: Simplify 1/2 into 1/2
66.863 * [taylor]: Taking taylor expansion of K in U
66.863 * [backup-simplify]: Simplify K into K
66.863 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
66.863 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
66.863 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
66.863 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
66.863 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
66.864 * [backup-simplify]: Simplify (- 0) into 0
66.864 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
66.864 * [taylor]: Taking taylor expansion of (pow J 2) in U
66.864 * [taylor]: Taking taylor expansion of J in U
66.864 * [backup-simplify]: Simplify J into J
66.864 * [backup-simplify]: Simplify (* 1 1) into 1
66.864 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
66.864 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.865 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
66.865 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
66.865 * [taylor]: Taking taylor expansion of 1 in U
66.865 * [backup-simplify]: Simplify 1 into 1
66.865 * [backup-simplify]: Simplify (+ 0 1) into 1
66.866 * [backup-simplify]: Simplify (sqrt 1) into 1
66.866 * [backup-simplify]: Simplify (+ 0 0) into 0
66.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
66.867 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U
66.867 * [taylor]: Taking taylor expansion of -2 in U
66.867 * [backup-simplify]: Simplify -2 into -2
66.867 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U
66.867 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
66.867 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
66.867 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
66.867 * [taylor]: Taking taylor expansion of 1/2 in U
66.867 * [backup-simplify]: Simplify 1/2 into 1/2
66.867 * [taylor]: Taking taylor expansion of K in U
66.867 * [backup-simplify]: Simplify K into K
66.867 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
66.867 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
66.867 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
66.867 * [taylor]: Taking taylor expansion of J in U
66.867 * [backup-simplify]: Simplify J into J
66.867 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
66.867 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
66.867 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
66.867 * [taylor]: Taking taylor expansion of 1/4 in U
66.867 * [backup-simplify]: Simplify 1/4 into 1/4
66.867 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
66.867 * [taylor]: Taking taylor expansion of (pow U 2) in U
66.867 * [taylor]: Taking taylor expansion of U in U
66.867 * [backup-simplify]: Simplify 0 into 0
66.867 * [backup-simplify]: Simplify 1 into 1
66.867 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
66.867 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
66.867 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
66.867 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
66.867 * [taylor]: Taking taylor expansion of 1/2 in U
66.867 * [backup-simplify]: Simplify 1/2 into 1/2
66.867 * [taylor]: Taking taylor expansion of K in U
66.867 * [backup-simplify]: Simplify K into K
66.867 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
66.867 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
66.867 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
66.868 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
66.868 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
66.868 * [backup-simplify]: Simplify (- 0) into 0
66.868 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
66.868 * [taylor]: Taking taylor expansion of (pow J 2) in U
66.868 * [taylor]: Taking taylor expansion of J in U
66.868 * [backup-simplify]: Simplify J into J
66.868 * [backup-simplify]: Simplify (* 1 1) into 1
66.868 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
66.868 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.868 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
66.868 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
66.869 * [taylor]: Taking taylor expansion of 1 in U
66.869 * [backup-simplify]: Simplify 1 into 1
66.869 * [backup-simplify]: Simplify (+ 0 1) into 1
66.869 * [backup-simplify]: Simplify (sqrt 1) into 1
66.869 * [backup-simplify]: Simplify (+ 0 0) into 0
66.870 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
66.870 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
66.870 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
66.870 * [backup-simplify]: Simplify (- 0) into 0
66.870 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
66.870 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J)
66.870 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J)
66.870 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J))
66.870 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K
66.870 * [taylor]: Taking taylor expansion of -2 in K
66.870 * [backup-simplify]: Simplify -2 into -2
66.870 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
66.870 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
66.870 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
66.870 * [taylor]: Taking taylor expansion of 1/2 in K
66.871 * [backup-simplify]: Simplify 1/2 into 1/2
66.871 * [taylor]: Taking taylor expansion of K in K
66.871 * [backup-simplify]: Simplify 0 into 0
66.871 * [backup-simplify]: Simplify 1 into 1
66.871 * [backup-simplify]: Simplify (* 1/2 0) into 0
66.871 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
66.871 * [taylor]: Taking taylor expansion of J in K
66.871 * [backup-simplify]: Simplify J into J
66.871 * [backup-simplify]: Simplify (* 1 J) into J
66.871 * [backup-simplify]: Simplify (* -2 J) into (* -2 J)
66.871 * [taylor]: Taking taylor expansion of (* -2 J) in J
66.871 * [taylor]: Taking taylor expansion of -2 in J
66.871 * [backup-simplify]: Simplify -2 into -2
66.871 * [taylor]: Taking taylor expansion of J in J
66.871 * [backup-simplify]: Simplify 0 into 0
66.871 * [backup-simplify]: Simplify 1 into 1
66.872 * [backup-simplify]: Simplify (+ 0) into 0
66.872 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
66.872 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
66.873 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.873 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
66.873 * [backup-simplify]: Simplify (- 0) into 0
66.874 * [backup-simplify]: Simplify (+ 0 0) into 0
66.874 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0
66.874 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0
66.874 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0
66.874 * [taylor]: Taking taylor expansion of 0 in K
66.874 * [backup-simplify]: Simplify 0 into 0
66.874 * [taylor]: Taking taylor expansion of 0 in J
66.874 * [backup-simplify]: Simplify 0 into 0
66.875 * [backup-simplify]: Simplify (+ 0) into 0
66.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0
66.875 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0
66.875 * [taylor]: Taking taylor expansion of 0 in J
66.875 * [backup-simplify]: Simplify 0 into 0
66.876 * [backup-simplify]: Simplify (* -2 0) into 0
66.876 * [backup-simplify]: Simplify 0 into 0
66.876 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
66.876 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
66.877 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
66.877 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
66.878 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
66.878 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
66.879 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
66.879 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
66.879 * [backup-simplify]: Simplify (- 0) into 0
66.880 * [backup-simplify]: Simplify (+ 0 0) into 0
66.880 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0
66.880 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))
66.881 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))))
66.881 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K
66.881 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K
66.881 * [taylor]: Taking taylor expansion of 1/4 in K
66.881 * [backup-simplify]: Simplify 1/4 into 1/4
66.881 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K
66.881 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
66.881 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
66.881 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
66.881 * [taylor]: Taking taylor expansion of 1/2 in K
66.881 * [backup-simplify]: Simplify 1/2 into 1/2
66.881 * [taylor]: Taking taylor expansion of K in K
66.881 * [backup-simplify]: Simplify 0 into 0
66.881 * [backup-simplify]: Simplify 1 into 1
66.881 * [backup-simplify]: Simplify (* 1/2 0) into 0
66.882 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
66.882 * [taylor]: Taking taylor expansion of J in K
66.882 * [backup-simplify]: Simplify J into J
66.882 * [backup-simplify]: Simplify (* 1 J) into J
66.882 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J)
66.882 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J)
66.882 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J)))
66.882 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J
66.882 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J
66.882 * [taylor]: Taking taylor expansion of 1/4 in J
66.882 * [backup-simplify]: Simplify 1/4 into 1/4
66.882 * [taylor]: Taking taylor expansion of (/ 1 J) in J
66.882 * [taylor]: Taking taylor expansion of J in J
66.882 * [backup-simplify]: Simplify 0 into 0
66.882 * [backup-simplify]: Simplify 1 into 1
66.882 * [backup-simplify]: Simplify (/ 1 1) into 1
66.883 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
66.883 * [backup-simplify]: Simplify (- 1/4) into -1/4
66.883 * [backup-simplify]: Simplify -1/4 into -1/4
66.883 * [taylor]: Taking taylor expansion of 0 in J
66.883 * [backup-simplify]: Simplify 0 into 0
66.883 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
66.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J))
66.884 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J)
66.884 * [taylor]: Taking taylor expansion of (* 1/4 J) in J
66.884 * [taylor]: Taking taylor expansion of 1/4 in J
66.884 * [backup-simplify]: Simplify 1/4 into 1/4
66.884 * [taylor]: Taking taylor expansion of J in J
66.884 * [backup-simplify]: Simplify 0 into 0
66.884 * [backup-simplify]: Simplify 1 into 1
66.884 * [backup-simplify]: Simplify 0 into 0
66.884 * [backup-simplify]: Simplify 0 into 0
66.885 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2
66.885 * [backup-simplify]: Simplify -2 into -2
66.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.885 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
66.886 * [backup-simplify]: Simplify (+ 0) into 0
66.886 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
66.886 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
66.887 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.887 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
66.887 * [backup-simplify]: Simplify (- 0) into 0
66.888 * [backup-simplify]: Simplify (+ 0 0) into 0
66.888 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
66.888 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
66.888 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
66.888 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
66.889 * [backup-simplify]: Simplify (+ 0 0) into 0
66.889 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
66.890 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
66.890 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
66.891 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
66.892 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
66.892 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
66.892 * [backup-simplify]: Simplify (- 0) into 0
66.893 * [backup-simplify]: Simplify (+ 0 0) into 0
66.893 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
66.894 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0
66.894 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0
66.894 * [taylor]: Taking taylor expansion of 0 in K
66.894 * [backup-simplify]: Simplify 0 into 0
66.894 * [taylor]: Taking taylor expansion of 0 in J
66.894 * [backup-simplify]: Simplify 0 into 0
66.895 * [backup-simplify]: Simplify (+ 0) into 0
66.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0
66.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
66.895 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0
66.896 * [backup-simplify]: Simplify (- 0) into 0
66.896 * [taylor]: Taking taylor expansion of 0 in J
66.896 * [backup-simplify]: Simplify 0 into 0
66.896 * [taylor]: Taking taylor expansion of 0 in J
66.896 * [backup-simplify]: Simplify 0 into 0
66.896 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
66.897 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
66.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0
66.898 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0
66.899 * [taylor]: Taking taylor expansion of 0 in J
66.899 * [backup-simplify]: Simplify 0 into 0
66.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
66.899 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
66.900 * [backup-simplify]: Simplify (- 0) into 0
66.900 * [backup-simplify]: Simplify 0 into 0
66.900 * [backup-simplify]: Simplify 0 into 0
66.900 * [backup-simplify]: Simplify (* 1/4 0) into 0
66.900 * [backup-simplify]: Simplify 0 into 0
66.900 * [backup-simplify]: Simplify 0 into 0
66.900 * [backup-simplify]: Simplify 0 into 0
66.901 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0
66.901 * [backup-simplify]: Simplify 0 into 0
66.901 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J))))
66.902 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) -2) (* (cos (/ (/ 1 K) 2)) (/ 1 J))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))
66.902 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (U K J) around 0
66.902 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J
66.902 * [taylor]: Taking taylor expansion of -2 in J
66.902 * [backup-simplify]: Simplify -2 into -2
66.902 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J
66.902 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
66.902 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
66.902 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
66.902 * [taylor]: Taking taylor expansion of 1/4 in J
66.902 * [backup-simplify]: Simplify 1/4 into 1/4
66.902 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
66.902 * [taylor]: Taking taylor expansion of (pow J 2) in J
66.902 * [taylor]: Taking taylor expansion of J in J
66.902 * [backup-simplify]: Simplify 0 into 0
66.902 * [backup-simplify]: Simplify 1 into 1
66.902 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
66.902 * [taylor]: Taking taylor expansion of (pow U 2) in J
66.902 * [taylor]: Taking taylor expansion of U in J
66.902 * [backup-simplify]: Simplify U into U
66.902 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
66.902 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
66.902 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
66.902 * [taylor]: Taking taylor expansion of 1/2 in J
66.902 * [backup-simplify]: Simplify 1/2 into 1/2
66.902 * [taylor]: Taking taylor expansion of K in J
66.902 * [backup-simplify]: Simplify K into K
66.902 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
66.902 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
66.902 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
66.902 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
66.902 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
66.902 * [backup-simplify]: Simplify (- 0) into 0
66.903 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
66.903 * [backup-simplify]: Simplify (* 1 1) into 1
66.903 * [backup-simplify]: Simplify (* U U) into (pow U 2)
66.903 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
66.903 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
66.903 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
66.904 * [taylor]: Taking taylor expansion of 1 in J
66.904 * [backup-simplify]: Simplify 1 into 1
66.904 * [backup-simplify]: Simplify (+ 0 1) into 1
66.904 * [backup-simplify]: Simplify (sqrt 1) into 1
66.905 * [backup-simplify]: Simplify (+ 0 0) into 0
66.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
66.906 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
66.906 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
66.906 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
66.906 * [taylor]: Taking taylor expansion of 1/2 in J
66.906 * [backup-simplify]: Simplify 1/2 into 1/2
66.906 * [taylor]: Taking taylor expansion of K in J
66.906 * [backup-simplify]: Simplify K into K
66.906 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
66.906 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
66.906 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
66.906 * [taylor]: Taking taylor expansion of J in J
66.906 * [backup-simplify]: Simplify 0 into 0
66.906 * [backup-simplify]: Simplify 1 into 1
66.906 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
66.906 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
66.907 * [backup-simplify]: Simplify (- 0) into 0
66.907 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
66.907 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
66.907 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K
66.907 * [taylor]: Taking taylor expansion of -2 in K
66.907 * [backup-simplify]: Simplify -2 into -2
66.907 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K
66.907 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
66.907 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
66.907 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
66.907 * [taylor]: Taking taylor expansion of 1/4 in K
66.907 * [backup-simplify]: Simplify 1/4 into 1/4
66.907 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
66.907 * [taylor]: Taking taylor expansion of (pow J 2) in K
66.907 * [taylor]: Taking taylor expansion of J in K
66.907 * [backup-simplify]: Simplify J into J
66.907 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
66.907 * [taylor]: Taking taylor expansion of (pow U 2) in K
66.908 * [taylor]: Taking taylor expansion of U in K
66.908 * [backup-simplify]: Simplify U into U
66.908 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
66.908 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
66.908 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
66.908 * [taylor]: Taking taylor expansion of 1/2 in K
66.908 * [backup-simplify]: Simplify 1/2 into 1/2
66.908 * [taylor]: Taking taylor expansion of K in K
66.908 * [backup-simplify]: Simplify 0 into 0
66.908 * [backup-simplify]: Simplify 1 into 1
66.908 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
66.908 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
66.908 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.908 * [backup-simplify]: Simplify (* U U) into (pow U 2)
66.908 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
66.909 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
66.909 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
66.909 * [taylor]: Taking taylor expansion of 1 in K
66.909 * [backup-simplify]: Simplify 1 into 1
66.909 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
66.910 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
66.910 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
66.910 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
66.910 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
66.910 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
66.910 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
66.911 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
66.912 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
66.912 * [backup-simplify]: Simplify (+ 0 0) into 0
66.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
66.913 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
66.913 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
66.913 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
66.913 * [taylor]: Taking taylor expansion of 1/2 in K
66.913 * [backup-simplify]: Simplify 1/2 into 1/2
66.913 * [taylor]: Taking taylor expansion of K in K
66.913 * [backup-simplify]: Simplify 0 into 0
66.913 * [backup-simplify]: Simplify 1 into 1
66.913 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
66.913 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
66.913 * [taylor]: Taking taylor expansion of J in K
66.913 * [backup-simplify]: Simplify J into J
66.913 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
66.913 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U
66.914 * [taylor]: Taking taylor expansion of -2 in U
66.914 * [backup-simplify]: Simplify -2 into -2
66.914 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U
66.914 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
66.914 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
66.914 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
66.914 * [taylor]: Taking taylor expansion of 1/4 in U
66.914 * [backup-simplify]: Simplify 1/4 into 1/4
66.914 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
66.914 * [taylor]: Taking taylor expansion of (pow J 2) in U
66.914 * [taylor]: Taking taylor expansion of J in U
66.914 * [backup-simplify]: Simplify J into J
66.914 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
66.914 * [taylor]: Taking taylor expansion of (pow U 2) in U
66.914 * [taylor]: Taking taylor expansion of U in U
66.914 * [backup-simplify]: Simplify 0 into 0
66.914 * [backup-simplify]: Simplify 1 into 1
66.914 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
66.914 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
66.914 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
66.914 * [taylor]: Taking taylor expansion of 1/2 in U
66.914 * [backup-simplify]: Simplify 1/2 into 1/2
66.914 * [taylor]: Taking taylor expansion of K in U
66.914 * [backup-simplify]: Simplify K into K
66.914 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
66.914 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
66.914 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
66.914 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
66.915 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
66.915 * [backup-simplify]: Simplify (- 0) into 0
66.915 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
66.915 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.916 * [backup-simplify]: Simplify (* 1 1) into 1
66.916 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
66.916 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
66.916 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
66.916 * [taylor]: Taking taylor expansion of 1 in U
66.916 * [backup-simplify]: Simplify 1 into 1
66.916 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
66.916 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
66.917 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
66.917 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
66.917 * [backup-simplify]: Simplify (+ 0) into 0
66.918 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
66.918 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
66.919 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.919 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
66.920 * [backup-simplify]: Simplify (- 0) into 0
66.920 * [backup-simplify]: Simplify (+ 0 0) into 0
66.920 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
66.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
66.922 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
66.922 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
66.923 * [backup-simplify]: Simplify (+ 0 0) into 0
66.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
66.923 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
66.923 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
66.923 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
66.923 * [taylor]: Taking taylor expansion of 1/2 in U
66.923 * [backup-simplify]: Simplify 1/2 into 1/2
66.923 * [taylor]: Taking taylor expansion of K in U
66.923 * [backup-simplify]: Simplify K into K
66.923 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
66.923 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
66.923 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
66.923 * [taylor]: Taking taylor expansion of J in U
66.923 * [backup-simplify]: Simplify J into J
66.924 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
66.924 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
66.924 * [backup-simplify]: Simplify (- 0) into 0
66.924 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
66.924 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
66.924 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U
66.924 * [taylor]: Taking taylor expansion of -2 in U
66.924 * [backup-simplify]: Simplify -2 into -2
66.924 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U
66.924 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
66.924 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
66.924 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
66.924 * [taylor]: Taking taylor expansion of 1/4 in U
66.924 * [backup-simplify]: Simplify 1/4 into 1/4
66.924 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
66.925 * [taylor]: Taking taylor expansion of (pow J 2) in U
66.925 * [taylor]: Taking taylor expansion of J in U
66.925 * [backup-simplify]: Simplify J into J
66.925 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
66.925 * [taylor]: Taking taylor expansion of (pow U 2) in U
66.925 * [taylor]: Taking taylor expansion of U in U
66.925 * [backup-simplify]: Simplify 0 into 0
66.925 * [backup-simplify]: Simplify 1 into 1
66.925 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
66.925 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
66.925 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
66.925 * [taylor]: Taking taylor expansion of 1/2 in U
66.925 * [backup-simplify]: Simplify 1/2 into 1/2
66.925 * [taylor]: Taking taylor expansion of K in U
66.925 * [backup-simplify]: Simplify K into K
66.925 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
66.925 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
66.925 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
66.925 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
66.925 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
66.926 * [backup-simplify]: Simplify (- 0) into 0
66.926 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
66.926 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.926 * [backup-simplify]: Simplify (* 1 1) into 1
66.926 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
66.926 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
66.927 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
66.927 * [taylor]: Taking taylor expansion of 1 in U
66.927 * [backup-simplify]: Simplify 1 into 1
66.927 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
66.927 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
66.927 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
66.927 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
66.928 * [backup-simplify]: Simplify (+ 0) into 0
66.928 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
66.928 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
66.929 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.934 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
66.935 * [backup-simplify]: Simplify (- 0) into 0
66.935 * [backup-simplify]: Simplify (+ 0 0) into 0
66.935 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
66.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
66.937 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
66.938 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
66.938 * [backup-simplify]: Simplify (+ 0 0) into 0
66.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
66.938 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
66.938 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
66.938 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
66.938 * [taylor]: Taking taylor expansion of 1/2 in U
66.938 * [backup-simplify]: Simplify 1/2 into 1/2
66.938 * [taylor]: Taking taylor expansion of K in U
66.938 * [backup-simplify]: Simplify K into K
66.939 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
66.939 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
66.939 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
66.939 * [taylor]: Taking taylor expansion of J in U
66.939 * [backup-simplify]: Simplify J into J
66.939 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
66.939 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
66.939 * [backup-simplify]: Simplify (- 0) into 0
66.939 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
66.939 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
66.940 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2
66.940 * [backup-simplify]: Simplify (* -2 1/2) into -1
66.940 * [taylor]: Taking taylor expansion of -1 in K
66.940 * [backup-simplify]: Simplify -1 into -1
66.940 * [taylor]: Taking taylor expansion of -1 in J
66.940 * [backup-simplify]: Simplify -1 into -1
66.941 * [backup-simplify]: Simplify (+ 0) into 0
66.941 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
66.941 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
66.942 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.943 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
66.943 * [backup-simplify]: Simplify (- 0) into 0
66.943 * [backup-simplify]: Simplify (+ 0 0) into 0
66.944 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0
66.944 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0
66.944 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0
66.945 * [taylor]: Taking taylor expansion of 0 in K
66.945 * [backup-simplify]: Simplify 0 into 0
66.945 * [taylor]: Taking taylor expansion of 0 in J
66.945 * [backup-simplify]: Simplify 0 into 0
66.945 * [taylor]: Taking taylor expansion of 0 in J
66.945 * [backup-simplify]: Simplify 0 into 0
66.945 * [backup-simplify]: Simplify -1 into -1
66.946 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
66.947 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
66.947 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
66.948 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
66.948 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
66.949 * [backup-simplify]: Simplify (- 0) into 0
66.949 * [backup-simplify]: Simplify (+ 0 0) into 0
66.949 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
66.950 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
66.951 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
66.952 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
66.952 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
66.953 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
66.953 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
66.954 * [backup-simplify]: Simplify (- 0) into 0
66.954 * [backup-simplify]: Simplify (+ 0 0) into 0
66.954 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
66.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
66.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
66.957 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
66.958 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
66.958 * [backup-simplify]: Simplify (+ 0 1) into 1
66.959 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
66.960 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (/ (cos (/ 1/2 K)) J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))
66.961 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))))
66.961 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K
66.961 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K
66.961 * [taylor]: Taking taylor expansion of 2 in K
66.961 * [backup-simplify]: Simplify 2 into 2
66.961 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K
66.961 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
66.961 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
66.961 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
66.961 * [taylor]: Taking taylor expansion of 1/2 in K
66.961 * [backup-simplify]: Simplify 1/2 into 1/2
66.961 * [taylor]: Taking taylor expansion of K in K
66.961 * [backup-simplify]: Simplify 0 into 0
66.961 * [backup-simplify]: Simplify 1 into 1
66.962 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
66.962 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
66.962 * [taylor]: Taking taylor expansion of (pow J 2) in K
66.962 * [taylor]: Taking taylor expansion of J in K
66.962 * [backup-simplify]: Simplify J into J
66.962 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
66.962 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.962 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))
66.962 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))
66.963 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))))
66.963 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J
66.963 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J
66.963 * [taylor]: Taking taylor expansion of 2 in J
66.963 * [backup-simplify]: Simplify 2 into 2
66.963 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J
66.963 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
66.963 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
66.963 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
66.963 * [taylor]: Taking taylor expansion of 1/2 in J
66.963 * [backup-simplify]: Simplify 1/2 into 1/2
66.963 * [taylor]: Taking taylor expansion of K in J
66.963 * [backup-simplify]: Simplify K into K
66.963 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
66.963 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
66.963 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
66.963 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
66.963 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
66.964 * [backup-simplify]: Simplify (- 0) into 0
66.964 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
66.964 * [taylor]: Taking taylor expansion of (pow J 2) in J
66.964 * [taylor]: Taking taylor expansion of J in J
66.964 * [backup-simplify]: Simplify 0 into 0
66.964 * [backup-simplify]: Simplify 1 into 1
66.964 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
66.965 * [backup-simplify]: Simplify (* 1 1) into 1
66.965 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2)
66.965 * [backup-simplify]: Simplify (+ 0) into 0
66.966 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
66.966 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
66.967 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
66.967 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
66.967 * [backup-simplify]: Simplify (- 0) into 0
66.968 * [backup-simplify]: Simplify (+ 0 0) into 0
66.968 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
66.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0
66.970 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
66.970 * [backup-simplify]: Simplify (- 0) into 0
66.971 * [backup-simplify]: Simplify 0 into 0
66.971 * [taylor]: Taking taylor expansion of 0 in J
66.971 * [backup-simplify]: Simplify 0 into 0
66.971 * [taylor]: Taking taylor expansion of 0 in J
66.971 * [backup-simplify]: Simplify 0 into 0
66.971 * [backup-simplify]: Simplify 0 into 0
66.971 * [backup-simplify]: Simplify 0 into 0
66.971 * [backup-simplify]: Simplify 0 into 0
66.972 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
66.973 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
66.973 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
66.974 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
66.975 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
66.975 * [backup-simplify]: Simplify (- 0) into 0
66.975 * [backup-simplify]: Simplify (+ 0 0) into 0
66.976 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
66.976 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
66.977 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
66.977 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
66.978 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
66.978 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
66.979 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
66.979 * [backup-simplify]: Simplify (- 0) into 0
66.979 * [backup-simplify]: Simplify (+ 0 0) into 0
66.980 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
66.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
66.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
66.982 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
66.983 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
66.983 * [backup-simplify]: Simplify (+ 0 0) into 0
66.983 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
66.983 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0
66.984 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0
66.984 * [taylor]: Taking taylor expansion of 0 in K
66.984 * [backup-simplify]: Simplify 0 into 0
66.984 * [taylor]: Taking taylor expansion of 0 in J
66.984 * [backup-simplify]: Simplify 0 into 0
66.984 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
66.984 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
66.985 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
66.985 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0
66.985 * [backup-simplify]: Simplify (- 0) into 0
66.985 * [taylor]: Taking taylor expansion of 0 in J
66.985 * [backup-simplify]: Simplify 0 into 0
66.985 * [taylor]: Taking taylor expansion of 0 in J
66.985 * [backup-simplify]: Simplify 0 into 0
66.985 * [taylor]: Taking taylor expansion of 0 in J
66.985 * [backup-simplify]: Simplify 0 into 0
66.986 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
66.986 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
66.986 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
66.987 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
66.987 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
66.988 * [backup-simplify]: Simplify (- 0) into 0
66.988 * [backup-simplify]: Simplify (+ 0 0) into 0
66.988 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
66.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
66.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.990 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
66.990 * [backup-simplify]: Simplify (- 0) into 0
66.990 * [backup-simplify]: Simplify 0 into 0
66.990 * [backup-simplify]: Simplify 0 into 0
66.990 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U)
66.991 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) -2) (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))
66.991 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (U K J) around 0
66.991 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J
66.991 * [taylor]: Taking taylor expansion of 2 in J
66.991 * [backup-simplify]: Simplify 2 into 2
66.991 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J
66.991 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
66.991 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
66.991 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
66.991 * [taylor]: Taking taylor expansion of -1/2 in J
66.991 * [backup-simplify]: Simplify -1/2 into -1/2
66.991 * [taylor]: Taking taylor expansion of K in J
66.991 * [backup-simplify]: Simplify K into K
66.991 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
66.991 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
66.991 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
66.991 * [taylor]: Taking taylor expansion of J in J
66.991 * [backup-simplify]: Simplify 0 into 0
66.991 * [backup-simplify]: Simplify 1 into 1
66.991 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
66.991 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
66.992 * [backup-simplify]: Simplify (- 0) into 0
66.992 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
66.992 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
66.992 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
66.992 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
66.992 * [taylor]: Taking taylor expansion of 1 in J
66.992 * [backup-simplify]: Simplify 1 into 1
66.992 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
66.992 * [taylor]: Taking taylor expansion of 1/4 in J
66.992 * [backup-simplify]: Simplify 1/4 into 1/4
66.992 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
66.992 * [taylor]: Taking taylor expansion of (pow J 2) in J
66.992 * [taylor]: Taking taylor expansion of J in J
66.992 * [backup-simplify]: Simplify 0 into 0
66.992 * [backup-simplify]: Simplify 1 into 1
66.992 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
66.992 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
66.992 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
66.992 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
66.992 * [taylor]: Taking taylor expansion of -1/2 in J
66.992 * [backup-simplify]: Simplify -1/2 into -1/2
66.992 * [taylor]: Taking taylor expansion of K in J
66.992 * [backup-simplify]: Simplify K into K
66.992 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
66.992 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
66.992 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
66.992 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
66.992 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
66.993 * [backup-simplify]: Simplify (- 0) into 0
66.993 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
66.993 * [taylor]: Taking taylor expansion of (pow U 2) in J
66.993 * [taylor]: Taking taylor expansion of U in J
66.993 * [backup-simplify]: Simplify U into U
66.993 * [backup-simplify]: Simplify (* 1 1) into 1
66.993 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
66.993 * [backup-simplify]: Simplify (* U U) into (pow U 2)
66.993 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
66.993 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
66.994 * [backup-simplify]: Simplify (+ 1 0) into 1
66.994 * [backup-simplify]: Simplify (sqrt 1) into 1
66.994 * [backup-simplify]: Simplify (+ 0 0) into 0
66.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
66.994 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K
66.994 * [taylor]: Taking taylor expansion of 2 in K
66.994 * [backup-simplify]: Simplify 2 into 2
66.995 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K
66.995 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
66.995 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
66.995 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
66.995 * [taylor]: Taking taylor expansion of -1/2 in K
66.995 * [backup-simplify]: Simplify -1/2 into -1/2
66.995 * [taylor]: Taking taylor expansion of K in K
66.995 * [backup-simplify]: Simplify 0 into 0
66.995 * [backup-simplify]: Simplify 1 into 1
66.995 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
66.995 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
66.995 * [taylor]: Taking taylor expansion of J in K
66.995 * [backup-simplify]: Simplify J into J
66.995 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
66.995 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
66.995 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
66.995 * [taylor]: Taking taylor expansion of 1 in K
66.995 * [backup-simplify]: Simplify 1 into 1
66.995 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
66.995 * [taylor]: Taking taylor expansion of 1/4 in K
66.995 * [backup-simplify]: Simplify 1/4 into 1/4
66.995 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
66.995 * [taylor]: Taking taylor expansion of (pow J 2) in K
66.995 * [taylor]: Taking taylor expansion of J in K
66.995 * [backup-simplify]: Simplify J into J
66.995 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
66.995 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
66.995 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
66.995 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
66.995 * [taylor]: Taking taylor expansion of -1/2 in K
66.995 * [backup-simplify]: Simplify -1/2 into -1/2
66.995 * [taylor]: Taking taylor expansion of K in K
66.995 * [backup-simplify]: Simplify 0 into 0
66.995 * [backup-simplify]: Simplify 1 into 1
66.996 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
66.996 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
66.996 * [taylor]: Taking taylor expansion of (pow U 2) in K
66.996 * [taylor]: Taking taylor expansion of U in K
66.996 * [backup-simplify]: Simplify U into U
66.996 * [backup-simplify]: Simplify (* J J) into (pow J 2)
66.996 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
66.996 * [backup-simplify]: Simplify (* U U) into (pow U 2)
66.996 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
66.996 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
66.996 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
66.996 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
66.997 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
66.997 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
66.997 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
66.997 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
66.997 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
66.997 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
66.998 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
66.998 * [backup-simplify]: Simplify (+ 0 0) into 0
66.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
66.998 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
66.998 * [taylor]: Taking taylor expansion of 2 in U
66.998 * [backup-simplify]: Simplify 2 into 2
66.998 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
66.998 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
66.998 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
66.998 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
66.998 * [taylor]: Taking taylor expansion of -1/2 in U
66.999 * [backup-simplify]: Simplify -1/2 into -1/2
66.999 * [taylor]: Taking taylor expansion of K in U
66.999 * [backup-simplify]: Simplify K into K
66.999 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
66.999 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
66.999 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
66.999 * [taylor]: Taking taylor expansion of J in U
66.999 * [backup-simplify]: Simplify J into J
66.999 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
66.999 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
66.999 * [backup-simplify]: Simplify (- 0) into 0
66.999 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
66.999 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
66.999 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
66.999 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
66.999 * [taylor]: Taking taylor expansion of 1 in U
66.999 * [backup-simplify]: Simplify 1 into 1
66.999 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
66.999 * [taylor]: Taking taylor expansion of 1/4 in U
66.999 * [backup-simplify]: Simplify 1/4 into 1/4
66.999 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
66.999 * [taylor]: Taking taylor expansion of (pow J 2) in U
66.999 * [taylor]: Taking taylor expansion of J in U
66.999 * [backup-simplify]: Simplify J into J
66.999 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
66.999 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
66.999 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
66.999 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
66.999 * [taylor]: Taking taylor expansion of -1/2 in U
66.999 * [backup-simplify]: Simplify -1/2 into -1/2
66.999 * [taylor]: Taking taylor expansion of K in U
66.999 * [backup-simplify]: Simplify K into K
66.999 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
67.000 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
67.000 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
67.000 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
67.000 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
67.000 * [backup-simplify]: Simplify (- 0) into 0
67.000 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
67.000 * [taylor]: Taking taylor expansion of (pow U 2) in U
67.000 * [taylor]: Taking taylor expansion of U in U
67.000 * [backup-simplify]: Simplify 0 into 0
67.000 * [backup-simplify]: Simplify 1 into 1
67.000 * [backup-simplify]: Simplify (* J J) into (pow J 2)
67.000 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
67.000 * [backup-simplify]: Simplify (* 1 1) into 1
67.000 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
67.001 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
67.001 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
67.001 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
67.001 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
67.001 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
67.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
67.002 * [backup-simplify]: Simplify (+ 0) into 0
67.002 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
67.002 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
67.003 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
67.003 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
67.003 * [backup-simplify]: Simplify (- 0) into 0
67.003 * [backup-simplify]: Simplify (+ 0 0) into 0
67.003 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
67.004 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
67.004 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
67.004 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
67.005 * [backup-simplify]: Simplify (+ 0 0) into 0
67.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
67.005 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
67.005 * [taylor]: Taking taylor expansion of 2 in U
67.005 * [backup-simplify]: Simplify 2 into 2
67.005 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
67.005 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
67.005 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
67.005 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
67.005 * [taylor]: Taking taylor expansion of -1/2 in U
67.005 * [backup-simplify]: Simplify -1/2 into -1/2
67.005 * [taylor]: Taking taylor expansion of K in U
67.005 * [backup-simplify]: Simplify K into K
67.005 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
67.005 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
67.005 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
67.005 * [taylor]: Taking taylor expansion of J in U
67.005 * [backup-simplify]: Simplify J into J
67.005 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
67.005 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
67.005 * [backup-simplify]: Simplify (- 0) into 0
67.005 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
67.006 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
67.006 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
67.006 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
67.006 * [taylor]: Taking taylor expansion of 1 in U
67.006 * [backup-simplify]: Simplify 1 into 1
67.006 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
67.006 * [taylor]: Taking taylor expansion of 1/4 in U
67.006 * [backup-simplify]: Simplify 1/4 into 1/4
67.006 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
67.006 * [taylor]: Taking taylor expansion of (pow J 2) in U
67.006 * [taylor]: Taking taylor expansion of J in U
67.006 * [backup-simplify]: Simplify J into J
67.006 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
67.006 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
67.006 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
67.006 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
67.006 * [taylor]: Taking taylor expansion of -1/2 in U
67.006 * [backup-simplify]: Simplify -1/2 into -1/2
67.006 * [taylor]: Taking taylor expansion of K in U
67.006 * [backup-simplify]: Simplify K into K
67.006 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
67.006 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
67.006 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
67.006 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
67.006 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
67.006 * [backup-simplify]: Simplify (- 0) into 0
67.007 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
67.007 * [taylor]: Taking taylor expansion of (pow U 2) in U
67.007 * [taylor]: Taking taylor expansion of U in U
67.007 * [backup-simplify]: Simplify 0 into 0
67.007 * [backup-simplify]: Simplify 1 into 1
67.007 * [backup-simplify]: Simplify (* J J) into (pow J 2)
67.007 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
67.007 * [backup-simplify]: Simplify (* 1 1) into 1
67.007 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
67.007 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
67.007 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
67.007 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
67.008 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
67.008 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
67.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
67.008 * [backup-simplify]: Simplify (+ 0) into 0
67.009 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
67.009 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
67.009 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
67.009 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
67.010 * [backup-simplify]: Simplify (- 0) into 0
67.010 * [backup-simplify]: Simplify (+ 0 0) into 0
67.010 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
67.010 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
67.010 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
67.011 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
67.011 * [backup-simplify]: Simplify (+ 0 0) into 0
67.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
67.011 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2
67.012 * [backup-simplify]: Simplify (* 2 1/2) into 1
67.012 * [taylor]: Taking taylor expansion of 1 in K
67.012 * [backup-simplify]: Simplify 1 into 1
67.012 * [taylor]: Taking taylor expansion of 1 in J
67.012 * [backup-simplify]: Simplify 1 into 1
67.012 * [backup-simplify]: Simplify (+ 0) into 0
67.012 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
67.013 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
67.013 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
67.013 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
67.014 * [backup-simplify]: Simplify (- 0) into 0
67.014 * [backup-simplify]: Simplify (+ 0 0) into 0
67.014 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0
67.014 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
67.014 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0
67.014 * [taylor]: Taking taylor expansion of 0 in K
67.014 * [backup-simplify]: Simplify 0 into 0
67.014 * [taylor]: Taking taylor expansion of 0 in J
67.015 * [backup-simplify]: Simplify 0 into 0
67.015 * [taylor]: Taking taylor expansion of 0 in J
67.015 * [backup-simplify]: Simplify 0 into 0
67.015 * [backup-simplify]: Simplify 1 into 1
67.015 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
67.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
67.016 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
67.016 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
67.016 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
67.017 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
67.017 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
67.018 * [backup-simplify]: Simplify (- 0) into 0
67.018 * [backup-simplify]: Simplify (+ 0 0) into 0
67.018 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
67.019 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
67.019 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
67.019 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
67.020 * [backup-simplify]: Simplify (+ 1 0) into 1
67.020 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
67.021 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
67.021 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
67.021 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
67.022 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
67.022 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
67.022 * [backup-simplify]: Simplify (- 0) into 0
67.023 * [backup-simplify]: Simplify (+ 0 0) into 0
67.023 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
67.023 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))
67.024 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))
67.024 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K
67.024 * [taylor]: Taking taylor expansion of 2 in K
67.024 * [backup-simplify]: Simplify 2 into 2
67.024 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K
67.024 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
67.024 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
67.024 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
67.024 * [taylor]: Taking taylor expansion of -1/2 in K
67.024 * [backup-simplify]: Simplify -1/2 into -1/2
67.024 * [taylor]: Taking taylor expansion of K in K
67.024 * [backup-simplify]: Simplify 0 into 0
67.024 * [backup-simplify]: Simplify 1 into 1
67.024 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
67.024 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
67.024 * [taylor]: Taking taylor expansion of (pow J 2) in K
67.024 * [taylor]: Taking taylor expansion of J in K
67.024 * [backup-simplify]: Simplify J into J
67.024 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
67.024 * [backup-simplify]: Simplify (* J J) into (pow J 2)
67.025 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))
67.025 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))
67.025 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J
67.025 * [taylor]: Taking taylor expansion of 2 in J
67.025 * [backup-simplify]: Simplify 2 into 2
67.025 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J
67.025 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
67.025 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
67.025 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
67.025 * [taylor]: Taking taylor expansion of -1/2 in J
67.025 * [backup-simplify]: Simplify -1/2 into -1/2
67.025 * [taylor]: Taking taylor expansion of K in J
67.025 * [backup-simplify]: Simplify K into K
67.025 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
67.025 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
67.025 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
67.025 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
67.025 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
67.025 * [backup-simplify]: Simplify (- 0) into 0
67.025 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
67.025 * [taylor]: Taking taylor expansion of (pow J 2) in J
67.025 * [taylor]: Taking taylor expansion of J in J
67.025 * [backup-simplify]: Simplify 0 into 0
67.025 * [backup-simplify]: Simplify 1 into 1
67.026 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
67.026 * [backup-simplify]: Simplify (* 1 1) into 1
67.026 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
67.026 * [backup-simplify]: Simplify (+ 0) into 0
67.026 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
67.026 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
67.027 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
67.028 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
67.028 * [backup-simplify]: Simplify (- 0) into 0
67.028 * [backup-simplify]: Simplify (+ 0 0) into 0
67.029 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
67.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
67.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0
67.031 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
67.031 * [backup-simplify]: Simplify 0 into 0
67.031 * [taylor]: Taking taylor expansion of 0 in J
67.031 * [backup-simplify]: Simplify 0 into 0
67.031 * [taylor]: Taking taylor expansion of 0 in J
67.031 * [backup-simplify]: Simplify 0 into 0
67.031 * [backup-simplify]: Simplify 0 into 0
67.031 * [backup-simplify]: Simplify 0 into 0
67.031 * [backup-simplify]: Simplify 0 into 0
67.032 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
67.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
67.034 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
67.035 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
67.035 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
67.036 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
67.037 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
67.037 * [backup-simplify]: Simplify (- 0) into 0
67.038 * [backup-simplify]: Simplify (+ 0 0) into 0
67.039 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
67.040 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
67.040 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
67.041 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
67.042 * [backup-simplify]: Simplify (+ 0 0) into 0
67.042 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
67.043 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
67.044 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
67.044 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
67.046 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
67.051 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
67.052 * [backup-simplify]: Simplify (- 0) into 0
67.053 * [backup-simplify]: Simplify (+ 0 0) into 0
67.053 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
67.054 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0
67.055 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0
67.055 * [taylor]: Taking taylor expansion of 0 in K
67.055 * [backup-simplify]: Simplify 0 into 0
67.055 * [taylor]: Taking taylor expansion of 0 in J
67.055 * [backup-simplify]: Simplify 0 into 0
67.055 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
67.055 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
67.056 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
67.056 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0
67.056 * [taylor]: Taking taylor expansion of 0 in J
67.056 * [backup-simplify]: Simplify 0 into 0
67.056 * [taylor]: Taking taylor expansion of 0 in J
67.056 * [backup-simplify]: Simplify 0 into 0
67.056 * [taylor]: Taking taylor expansion of 0 in J
67.056 * [backup-simplify]: Simplify 0 into 0
67.058 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
67.058 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
67.059 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
67.059 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
67.060 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
67.061 * [backup-simplify]: Simplify (- 0) into 0
67.061 * [backup-simplify]: Simplify (+ 0 0) into 0
67.061 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
67.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
67.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
67.065 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
67.065 * [backup-simplify]: Simplify 0 into 0
67.065 * [backup-simplify]: Simplify 0 into 0
67.065 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U)
67.065 * * * [progress]: simplifying candidates
67.065 * * * * [progress]: [ 1 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (pow (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 1/2) -2) (* (cos (/ K 2)) J)))))>
67.065 * * * * [progress]: [ 2 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (pow (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 1) -2) (* (cos (/ K 2)) J)))))>
67.065 * * * * [progress]: [ 3 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (exp (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))))>
67.066 * [simplify]: Simplifying (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
67.066 * * [simplify]: iters left: 6 (14 enodes)
67.073 * * [simplify]: iters left: 5 (55 enodes)
67.091 * * [simplify]: iters left: 4 (108 enodes)
67.131 * * [simplify]: iters left: 3 (363 enodes)
67.341 * * [simplify]: Extracting #0: cost 1 inf + 0
67.341 * * [simplify]: Extracting #1: cost 3 inf + 0
67.341 * * [simplify]: Extracting #2: cost 5 inf + 0
67.341 * * [simplify]: Extracting #3: cost 8 inf + 0
67.341 * * [simplify]: Extracting #4: cost 123 inf + 1
67.342 * * [simplify]: Extracting #5: cost 234 inf + 254
67.344 * * [simplify]: Extracting #6: cost 198 inf + 3421
67.348 * * [simplify]: Extracting #7: cost 124 inf + 19029
67.362 * * [simplify]: Extracting #8: cost 4 inf + 47590
67.380 * * [simplify]: Extracting #9: cost 0 inf + 48044
67.409 * [simplify]: Simplified to (log (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
67.409 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (exp (log (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) -2) (* (cos (/ K 2)) J)))))
67.409 * * * * [progress]: [ 4 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (log (exp (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))))>
67.410 * [simplify]: Simplifying (exp (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
67.410 * * [simplify]: iters left: 6 (14 enodes)
67.418 * * [simplify]: iters left: 5 (55 enodes)
67.436 * * [simplify]: iters left: 4 (108 enodes)
67.469 * * [simplify]: iters left: 3 (363 enodes)
67.697 * * [simplify]: Extracting #0: cost 1 inf + 0
67.697 * * [simplify]: Extracting #1: cost 3 inf + 0
67.697 * * [simplify]: Extracting #2: cost 5 inf + 0
67.697 * * [simplify]: Extracting #3: cost 8 inf + 0
67.697 * * [simplify]: Extracting #4: cost 123 inf + 1
67.699 * * [simplify]: Extracting #5: cost 234 inf + 254
67.703 * * [simplify]: Extracting #6: cost 198 inf + 3421
67.711 * * [simplify]: Extracting #7: cost 124 inf + 19029
67.727 * * [simplify]: Extracting #8: cost 4 inf + 47590
67.745 * * [simplify]: Extracting #9: cost 0 inf + 48044
67.774 * [simplify]: Simplified to (exp (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
67.774 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (log (exp (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) -2) (* (cos (/ K 2)) J)))))
67.775 * * * * [progress]: [ 5 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))))>
67.775 * [simplify]: Simplifying (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
67.775 * * [simplify]: iters left: 6 (15 enodes)
67.783 * * [simplify]: iters left: 5 (58 enodes)
67.803 * * [simplify]: iters left: 4 (111 enodes)
67.834 * * [simplify]: iters left: 3 (365 enodes)
68.031 * * [simplify]: Extracting #0: cost 1 inf + 0
68.031 * * [simplify]: Extracting #1: cost 3 inf + 0
68.031 * * [simplify]: Extracting #2: cost 5 inf + 0
68.031 * * [simplify]: Extracting #3: cost 7 inf + 0
68.031 * * [simplify]: Extracting #4: cost 10 inf + 0
68.031 * * [simplify]: Extracting #5: cost 125 inf + 1
68.032 * * [simplify]: Extracting #6: cost 240 inf + 170
68.034 * * [simplify]: Extracting #7: cost 204 inf + 3339
68.041 * * [simplify]: Extracting #8: cost 123 inf + 20649
68.053 * * [simplify]: Extracting #9: cost 13 inf + 46700
68.068 * * [simplify]: Extracting #10: cost 0 inf + 49568
68.098 * * [simplify]: Extracting #11: cost 0 inf + 49565
68.126 * [simplify]: Simplified to (* (cbrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))
68.126 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (* (* (cbrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))))
68.127 * [simplify]: Simplifying (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
68.127 * * [simplify]: iters left: 6 (14 enodes)
68.135 * * [simplify]: iters left: 5 (55 enodes)
68.155 * * [simplify]: iters left: 4 (108 enodes)
68.185 * * [simplify]: iters left: 3 (363 enodes)
68.385 * * [simplify]: Extracting #0: cost 1 inf + 0
68.385 * * [simplify]: Extracting #1: cost 3 inf + 0
68.385 * * [simplify]: Extracting #2: cost 5 inf + 0
68.385 * * [simplify]: Extracting #3: cost 8 inf + 0
68.385 * * [simplify]: Extracting #4: cost 123 inf + 1
68.386 * * [simplify]: Extracting #5: cost 234 inf + 254
68.388 * * [simplify]: Extracting #6: cost 198 inf + 3421
68.392 * * [simplify]: Extracting #7: cost 124 inf + 19049
68.406 * * [simplify]: Extracting #8: cost 4 inf + 47610
68.421 * * [simplify]: Extracting #9: cost 0 inf + 48064
68.436 * [simplify]: Simplified to (cbrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
68.436 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) -2) (* (cos (/ K 2)) J)))))
68.436 * * * * [progress]: [ 6 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))))>
68.437 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
68.437 * * [simplify]: iters left: 6 (15 enodes)
68.444 * * [simplify]: iters left: 5 (57 enodes)
68.454 * * [simplify]: iters left: 4 (121 enodes)
68.506 * * [simplify]: iters left: 3 (434 enodes)
68.866 * * [simplify]: Extracting #0: cost 1 inf + 0
68.866 * * [simplify]: Extracting #1: cost 8 inf + 0
68.866 * * [simplify]: Extracting #2: cost 175 inf + 2
68.870 * * [simplify]: Extracting #3: cost 394 inf + 132
68.874 * * [simplify]: Extracting #4: cost 376 inf + 2811
68.883 * * [simplify]: Extracting #5: cost 261 inf + 26437
68.900 * * [simplify]: Extracting #6: cost 94 inf + 79350
68.962 * * [simplify]: Extracting #7: cost 3 inf + 120233
69.031 * * [simplify]: Extracting #8: cost 0 inf + 121307
69.068 * [simplify]: Simplified to (* (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
69.068 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) -2) (* (cos (/ K 2)) J)))))
69.068 * * * * [progress]: [ 7 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (* (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))))>
69.068 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
69.069 * * [simplify]: iters left: 6 (15 enodes)
69.073 * * [simplify]: iters left: 5 (59 enodes)
69.085 * * [simplify]: iters left: 4 (112 enodes)
69.110 * * [simplify]: iters left: 3 (365 enodes)
69.328 * * [simplify]: Extracting #0: cost 1 inf + 0
69.328 * * [simplify]: Extracting #1: cost 4 inf + 0
69.328 * * [simplify]: Extracting #2: cost 7 inf + 0
69.328 * * [simplify]: Extracting #3: cost 10 inf + 0
69.329 * * [simplify]: Extracting #4: cost 121 inf + 1
69.331 * * [simplify]: Extracting #5: cost 240 inf + 89
69.334 * * [simplify]: Extracting #6: cost 208 inf + 2970
69.341 * * [simplify]: Extracting #7: cost 135 inf + 16700
69.364 * * [simplify]: Extracting #8: cost 10 inf + 46860
69.394 * * [simplify]: Extracting #9: cost 0 inf + 48655
69.427 * * [simplify]: Extracting #10: cost 0 inf + 48654
69.458 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
69.458 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (* (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))))
69.459 * [simplify]: Simplifying (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
69.459 * * [simplify]: iters left: 6 (14 enodes)
69.466 * * [simplify]: iters left: 5 (55 enodes)
69.485 * * [simplify]: iters left: 4 (108 enodes)
69.535 * * [simplify]: iters left: 3 (363 enodes)
69.748 * * [simplify]: Extracting #0: cost 1 inf + 0
69.748 * * [simplify]: Extracting #1: cost 3 inf + 0
69.748 * * [simplify]: Extracting #2: cost 5 inf + 0
69.748 * * [simplify]: Extracting #3: cost 8 inf + 0
69.748 * * [simplify]: Extracting #4: cost 123 inf + 1
69.751 * * [simplify]: Extracting #5: cost 234 inf + 254
69.754 * * [simplify]: Extracting #6: cost 198 inf + 3421
69.763 * * [simplify]: Extracting #7: cost 124 inf + 19089
69.779 * * [simplify]: Extracting #8: cost 4 inf + 47690
69.795 * * [simplify]: Extracting #9: cost 0 inf + 48144
69.816 * [simplify]: Simplified to (sqrt (cbrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
69.816 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (* (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (sqrt (cbrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) -2) (* (cos (/ K 2)) J)))))
69.817 * * * * [progress]: [ 8 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))))>
69.817 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
69.817 * * [simplify]: iters left: 6 (14 enodes)
69.825 * * [simplify]: iters left: 5 (55 enodes)
69.844 * * [simplify]: iters left: 4 (108 enodes)
69.887 * * [simplify]: iters left: 3 (363 enodes)
70.089 * * [simplify]: Extracting #0: cost 1 inf + 0
70.089 * * [simplify]: Extracting #1: cost 3 inf + 0
70.089 * * [simplify]: Extracting #2: cost 5 inf + 0
70.089 * * [simplify]: Extracting #3: cost 8 inf + 0
70.089 * * [simplify]: Extracting #4: cost 123 inf + 1
70.090 * * [simplify]: Extracting #5: cost 234 inf + 254
70.092 * * [simplify]: Extracting #6: cost 198 inf + 3421
70.099 * * [simplify]: Extracting #7: cost 124 inf + 18969
70.119 * * [simplify]: Extracting #8: cost 4 inf + 47530
70.133 * * [simplify]: Extracting #9: cost 0 inf + 47984
70.158 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
70.159 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))))
70.159 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
70.160 * * [simplify]: iters left: 6 (14 enodes)
70.167 * * [simplify]: iters left: 5 (55 enodes)
70.185 * * [simplify]: iters left: 4 (108 enodes)
70.234 * * [simplify]: iters left: 3 (363 enodes)
70.499 * * [simplify]: Extracting #0: cost 1 inf + 0
70.499 * * [simplify]: Extracting #1: cost 3 inf + 0
70.499 * * [simplify]: Extracting #2: cost 5 inf + 0
70.499 * * [simplify]: Extracting #3: cost 8 inf + 0
70.500 * * [simplify]: Extracting #4: cost 123 inf + 1
70.502 * * [simplify]: Extracting #5: cost 234 inf + 254
70.505 * * [simplify]: Extracting #6: cost 198 inf + 3421
70.514 * * [simplify]: Extracting #7: cost 124 inf + 18969
70.542 * * [simplify]: Extracting #8: cost 4 inf + 47530
70.564 * * [simplify]: Extracting #9: cost 0 inf + 47984
70.579 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
70.579 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) -2) (* (cos (/ K 2)) J)))))
70.579 * * * * [progress]: [ 9 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (* (sqrt 1) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J)))))>
70.579 * [simplify]: Simplifying (sqrt 1)
70.579 * * [simplify]: iters left: 1 (2 enodes)
70.582 * * [simplify]: Extracting #0: cost 1 inf + 0
70.582 * * [simplify]: Extracting #1: cost 0 inf + 1
70.582 * [simplify]: Simplified to 1
70.582 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J)))))
70.582 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))
70.582 * * [simplify]: iters left: 6 (13 enodes)
70.585 * * [simplify]: iters left: 5 (52 enodes)
70.594 * * [simplify]: iters left: 4 (105 enodes)
70.641 * * [simplify]: iters left: 3 (359 enodes)
70.939 * * [simplify]: Extracting #0: cost 1 inf + 0
70.939 * * [simplify]: Extracting #1: cost 3 inf + 0
70.939 * * [simplify]: Extracting #2: cost 6 inf + 0
70.939 * * [simplify]: Extracting #3: cost 117 inf + 1
70.941 * * [simplify]: Extracting #4: cost 232 inf + 499
70.945 * * [simplify]: Extracting #5: cost 193 inf + 4157
70.952 * * [simplify]: Extracting #6: cost 119 inf + 19509
70.978 * * [simplify]: Extracting #7: cost 5 inf + 46044
71.008 * * [simplify]: Extracting #8: cost 0 inf + 47122
71.037 * * [simplify]: Extracting #9: cost 0 inf + 47082
71.070 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))
71.071 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (* 1 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2) (* (cos (/ K 2)) J)))))
71.071 * * * * [progress]: [ 10 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (/ (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (* (cos (/ K 2)) J)))))>
71.071 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3)))
71.072 * * [simplify]: iters left: 6 (16 enodes)
71.082 * * [simplify]: iters left: 5 (70 enodes)
71.107 * * [simplify]: iters left: 4 (176 enodes)
71.195 * * [simplify]: Extracting #0: cost 1 inf + 0
71.195 * * [simplify]: Extracting #1: cost 3 inf + 0
71.195 * * [simplify]: Extracting #2: cost 6 inf + 0
71.196 * * [simplify]: Extracting #3: cost 102 inf + 1
71.197 * * [simplify]: Extracting #4: cost 303 inf + 6
71.200 * * [simplify]: Extracting #5: cost 337 inf + 1173
71.208 * * [simplify]: Extracting #6: cost 236 inf + 28191
71.244 * * [simplify]: Extracting #7: cost 35 inf + 97999
71.295 * * [simplify]: Extracting #8: cost 0 inf + 110285
71.330 * [simplify]: Simplified to (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
71.330 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (* (cos (/ K 2)) J)))))
71.331 * [simplify]: Simplifying (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
71.331 * * [simplify]: iters left: 6 (17 enodes)
71.336 * * [simplify]: iters left: 5 (66 enodes)
71.351 * * [simplify]: iters left: 4 (168 enodes)
71.483 * * [simplify]: Extracting #0: cost 1 inf + 0
71.483 * * [simplify]: Extracting #1: cost 3 inf + 0
71.483 * * [simplify]: Extracting #2: cost 12 inf + 0
71.484 * * [simplify]: Extracting #3: cost 186 inf + 1
71.486 * * [simplify]: Extracting #4: cost 310 inf + 544
71.494 * * [simplify]: Extracting #5: cost 287 inf + 2359
71.501 * * [simplify]: Extracting #6: cost 218 inf + 18238
71.522 * * [simplify]: Extracting #7: cost 31 inf + 76688
71.541 * * [simplify]: Extracting #8: cost 0 inf + 87566
71.578 * * [simplify]: Extracting #9: cost 0 inf + 87410
71.600 * [simplify]: Simplified to (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
71.600 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) -2) (* (cos (/ K 2)) J)))))
71.600 * * * * [progress]: [ 11 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (/ (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J)))))>
71.600 * [simplify]: Simplifying (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1)))
71.601 * * [simplify]: iters left: 6 (15 enodes)
71.607 * * [simplify]: iters left: 5 (62 enodes)
71.627 * * [simplify]: iters left: 4 (150 enodes)
71.728 * * [simplify]: Extracting #0: cost 1 inf + 0
71.728 * * [simplify]: Extracting #1: cost 3 inf + 0
71.728 * * [simplify]: Extracting #2: cost 9 inf + 0
71.729 * * [simplify]: Extracting #3: cost 105 inf + 2
71.730 * * [simplify]: Extracting #4: cost 284 inf + 48
71.733 * * [simplify]: Extracting #5: cost 276 inf + 2210
71.740 * * [simplify]: Extracting #6: cost 201 inf + 21365
71.759 * * [simplify]: Extracting #7: cost 34 inf + 73136
71.777 * * [simplify]: Extracting #8: cost 0 inf + 84845
71.808 * [simplify]: Simplified to (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))
71.808 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (/ (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J)))))
71.809 * [simplify]: Simplifying (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))
71.809 * * [simplify]: iters left: 6 (13 enodes)
71.820 * * [simplify]: iters left: 5 (57 enodes)
71.830 * * [simplify]: iters left: 4 (119 enodes)
71.863 * * [simplify]: iters left: 3 (390 enodes)
72.071 * * [simplify]: Extracting #0: cost 1 inf + 0
72.072 * * [simplify]: Extracting #1: cost 3 inf + 0
72.072 * * [simplify]: Extracting #2: cost 12 inf + 0
72.072 * * [simplify]: Extracting #3: cost 154 inf + 2
72.073 * * [simplify]: Extracting #4: cost 269 inf + 131
72.075 * * [simplify]: Extracting #5: cost 242 inf + 2315
72.079 * * [simplify]: Extracting #6: cost 156 inf + 19810
72.107 * * [simplify]: Extracting #7: cost 13 inf + 55104
72.146 * * [simplify]: Extracting #8: cost 0 inf + 58131
72.163 * * [simplify]: Extracting #9: cost 0 inf + 58091
72.180 * [simplify]: Simplified to (sqrt (+ -1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))
72.180 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (/ (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) (sqrt (+ -1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) -2) (* (cos (/ K 2)) J)))))
72.181 * * * * [progress]: [ 12 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (pow (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (/ 1 2)) -2) (* (cos (/ K 2)) J)))))>
72.181 * [simplify]: Simplifying (/ 1 2)
72.181 * * [simplify]: iters left: 2 (3 enodes)
72.183 * * [simplify]: iters left: 1 (12 enodes)
72.186 * * [simplify]: Extracting #0: cost 1 inf + 0
72.186 * * [simplify]: Extracting #1: cost 0 inf + 1
72.186 * [simplify]: Simplified to 1/2
72.186 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (pow (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 1/2) -2) (* (cos (/ K 2)) J)))))
72.186 * * * * [progress]: [ 13 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))))>
72.186 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
72.186 * * [simplify]: iters left: 6 (14 enodes)
72.190 * * [simplify]: iters left: 5 (55 enodes)
72.199 * * [simplify]: iters left: 4 (108 enodes)
72.226 * * [simplify]: iters left: 3 (363 enodes)
72.390 * * [simplify]: Extracting #0: cost 1 inf + 0
72.390 * * [simplify]: Extracting #1: cost 3 inf + 0
72.390 * * [simplify]: Extracting #2: cost 5 inf + 0
72.390 * * [simplify]: Extracting #3: cost 8 inf + 0
72.390 * * [simplify]: Extracting #4: cost 123 inf + 1
72.391 * * [simplify]: Extracting #5: cost 234 inf + 254
72.393 * * [simplify]: Extracting #6: cost 198 inf + 3421
72.397 * * [simplify]: Extracting #7: cost 124 inf + 18969
72.415 * * [simplify]: Extracting #8: cost 4 inf + 47530
72.430 * * [simplify]: Extracting #9: cost 0 inf + 47984
72.455 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
72.455 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))))
72.456 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
72.456 * * [simplify]: iters left: 6 (14 enodes)
72.463 * * [simplify]: iters left: 5 (55 enodes)
72.482 * * [simplify]: iters left: 4 (108 enodes)
72.535 * * [simplify]: iters left: 3 (363 enodes)
73.164 * * [simplify]: Extracting #0: cost 1 inf + 0
73.164 * * [simplify]: Extracting #1: cost 3 inf + 0
73.164 * * [simplify]: Extracting #2: cost 5 inf + 0
73.164 * * [simplify]: Extracting #3: cost 8 inf + 0
73.165 * * [simplify]: Extracting #4: cost 123 inf + 1
73.167 * * [simplify]: Extracting #5: cost 234 inf + 254
73.170 * * [simplify]: Extracting #6: cost 198 inf + 3421
73.179 * * [simplify]: Extracting #7: cost 124 inf + 18969
73.194 * * [simplify]: Extracting #8: cost 4 inf + 47530
73.209 * * [simplify]: Extracting #9: cost 0 inf + 47984
73.238 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
73.238 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) -2) (* (cos (/ K 2)) J)))))
73.238 * * * * [progress]: [ 14 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (fabs (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J)))))>
73.238 * * * * [progress]: [ 15 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J)))))>
73.238 * * * * [progress]: [ 16 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (posit16->real (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))))>
73.239 * [simplify]: Simplifying (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
73.239 * * [simplify]: iters left: 6 (14 enodes)
73.246 * * [simplify]: iters left: 5 (52 enodes)
73.268 * * [simplify]: iters left: 4 (105 enodes)
73.317 * * [simplify]: iters left: 3 (360 enodes)
73.523 * * [simplify]: Extracting #0: cost 1 inf + 0
73.523 * * [simplify]: Extracting #1: cost 2 inf + 0
73.523 * * [simplify]: Extracting #2: cost 3 inf + 0
73.523 * * [simplify]: Extracting #3: cost 6 inf + 0
73.524 * * [simplify]: Extracting #4: cost 117 inf + 1
73.525 * * [simplify]: Extracting #5: cost 234 inf + 213
73.526 * * [simplify]: Extracting #6: cost 193 inf + 3749
73.530 * * [simplify]: Extracting #7: cost 120 inf + 18804
73.549 * * [simplify]: Extracting #8: cost 7 inf + 45515
73.574 * * [simplify]: Extracting #9: cost 0 inf + 47116
73.591 * [simplify]: Simplified to (real->posit16 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))
73.591 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (posit16->real (real->posit16 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) -2) (* (cos (/ K 2)) J)))))
73.591 * * * * [progress]: [ 17 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (pow (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 1/2) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
73.591 * * * * [progress]: [ 18 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (pow (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 1) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
73.591 * * * * [progress]: [ 19 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (exp (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
73.591 * [simplify]: Simplifying (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
73.591 * * [simplify]: iters left: 6 (14 enodes)
73.595 * * [simplify]: iters left: 5 (55 enodes)
73.611 * * [simplify]: iters left: 4 (108 enodes)
73.639 * * [simplify]: iters left: 3 (363 enodes)
73.895 * * [simplify]: Extracting #0: cost 1 inf + 0
73.895 * * [simplify]: Extracting #1: cost 3 inf + 0
73.895 * * [simplify]: Extracting #2: cost 5 inf + 0
73.895 * * [simplify]: Extracting #3: cost 8 inf + 0
73.895 * * [simplify]: Extracting #4: cost 123 inf + 1
73.898 * * [simplify]: Extracting #5: cost 234 inf + 254
73.901 * * [simplify]: Extracting #6: cost 198 inf + 3421
73.910 * * [simplify]: Extracting #7: cost 124 inf + 19029
73.937 * * [simplify]: Extracting #8: cost 4 inf + 47590
73.971 * * [simplify]: Extracting #9: cost 0 inf + 48044
74.001 * [simplify]: Simplified to (log (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
74.001 * [simplify]: Simplified (2 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (exp (log (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
74.002 * * * * [progress]: [ 20 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (log (exp (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
74.002 * [simplify]: Simplifying (exp (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
74.002 * * [simplify]: iters left: 6 (14 enodes)
74.011 * * [simplify]: iters left: 5 (55 enodes)
74.029 * * [simplify]: iters left: 4 (108 enodes)
74.064 * * [simplify]: iters left: 3 (363 enodes)
74.282 * * [simplify]: Extracting #0: cost 1 inf + 0
74.282 * * [simplify]: Extracting #1: cost 3 inf + 0
74.282 * * [simplify]: Extracting #2: cost 5 inf + 0
74.282 * * [simplify]: Extracting #3: cost 8 inf + 0
74.283 * * [simplify]: Extracting #4: cost 123 inf + 1
74.284 * * [simplify]: Extracting #5: cost 234 inf + 254
74.285 * * [simplify]: Extracting #6: cost 198 inf + 3421
74.290 * * [simplify]: Extracting #7: cost 124 inf + 19029
74.309 * * [simplify]: Extracting #8: cost 4 inf + 47590
74.339 * * [simplify]: Extracting #9: cost 0 inf + 48044
74.369 * [simplify]: Simplified to (exp (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
74.369 * [simplify]: Simplified (2 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (log (exp (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
74.370 * * * * [progress]: [ 21 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
74.370 * [simplify]: Simplifying (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
74.370 * * [simplify]: iters left: 6 (15 enodes)
74.378 * * [simplify]: iters left: 5 (58 enodes)
74.397 * * [simplify]: iters left: 4 (111 enodes)
74.450 * * [simplify]: iters left: 3 (365 enodes)
74.689 * * [simplify]: Extracting #0: cost 1 inf + 0
74.689 * * [simplify]: Extracting #1: cost 3 inf + 0
74.689 * * [simplify]: Extracting #2: cost 5 inf + 0
74.690 * * [simplify]: Extracting #3: cost 7 inf + 0
74.690 * * [simplify]: Extracting #4: cost 10 inf + 0
74.690 * * [simplify]: Extracting #5: cost 125 inf + 1
74.692 * * [simplify]: Extracting #6: cost 240 inf + 170
74.695 * * [simplify]: Extracting #7: cost 204 inf + 3339
74.703 * * [simplify]: Extracting #8: cost 123 inf + 20649
74.728 * * [simplify]: Extracting #9: cost 13 inf + 46700
74.758 * * [simplify]: Extracting #10: cost 0 inf + 49568
74.787 * * [simplify]: Extracting #11: cost 0 inf + 49565
74.818 * [simplify]: Simplified to (* (cbrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))
74.818 * [simplify]: Simplified (2 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (* (* (cbrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
74.818 * [simplify]: Simplifying (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
74.819 * * [simplify]: iters left: 6 (14 enodes)
74.826 * * [simplify]: iters left: 5 (55 enodes)
74.843 * * [simplify]: iters left: 4 (108 enodes)
74.870 * * [simplify]: iters left: 3 (363 enodes)
75.087 * * [simplify]: Extracting #0: cost 1 inf + 0
75.087 * * [simplify]: Extracting #1: cost 3 inf + 0
75.088 * * [simplify]: Extracting #2: cost 5 inf + 0
75.088 * * [simplify]: Extracting #3: cost 8 inf + 0
75.088 * * [simplify]: Extracting #4: cost 123 inf + 1
75.090 * * [simplify]: Extracting #5: cost 234 inf + 254
75.094 * * [simplify]: Extracting #6: cost 198 inf + 3421
75.098 * * [simplify]: Extracting #7: cost 124 inf + 19049
75.112 * * [simplify]: Extracting #8: cost 4 inf + 47610
75.132 * * [simplify]: Extracting #9: cost 0 inf + 48064
75.152 * [simplify]: Simplified to (cbrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
75.152 * [simplify]: Simplified (2 1 2 1 1 1 2) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
75.153 * * * * [progress]: [ 22 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
75.153 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
75.153 * * [simplify]: iters left: 6 (15 enodes)
75.157 * * [simplify]: iters left: 5 (57 enodes)
75.167 * * [simplify]: iters left: 4 (121 enodes)
75.205 * * [simplify]: iters left: 3 (434 enodes)
75.541 * * [simplify]: Extracting #0: cost 1 inf + 0
75.542 * * [simplify]: Extracting #1: cost 8 inf + 0
75.542 * * [simplify]: Extracting #2: cost 175 inf + 2
75.545 * * [simplify]: Extracting #3: cost 394 inf + 132
75.550 * * [simplify]: Extracting #4: cost 376 inf + 2811
75.562 * * [simplify]: Extracting #5: cost 261 inf + 26437
75.599 * * [simplify]: Extracting #6: cost 94 inf + 79350
75.643 * * [simplify]: Extracting #7: cost 3 inf + 120233
75.688 * * [simplify]: Extracting #8: cost 0 inf + 121307
75.726 * [simplify]: Simplified to (* (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
75.726 * [simplify]: Simplified (2 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (cbrt (* (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
75.726 * * * * [progress]: [ 23 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (* (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
75.727 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
75.728 * * [simplify]: iters left: 6 (15 enodes)
75.732 * * [simplify]: iters left: 5 (59 enodes)
75.742 * * [simplify]: iters left: 4 (112 enodes)
75.768 * * [simplify]: iters left: 3 (365 enodes)
75.954 * * [simplify]: Extracting #0: cost 1 inf + 0
75.954 * * [simplify]: Extracting #1: cost 4 inf + 0
75.954 * * [simplify]: Extracting #2: cost 7 inf + 0
75.954 * * [simplify]: Extracting #3: cost 10 inf + 0
75.954 * * [simplify]: Extracting #4: cost 121 inf + 1
75.955 * * [simplify]: Extracting #5: cost 240 inf + 89
75.957 * * [simplify]: Extracting #6: cost 208 inf + 2970
75.961 * * [simplify]: Extracting #7: cost 135 inf + 16700
75.977 * * [simplify]: Extracting #8: cost 10 inf + 46860
76.008 * * [simplify]: Extracting #9: cost 0 inf + 48655
76.032 * * [simplify]: Extracting #10: cost 0 inf + 48654
76.047 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
76.047 * [simplify]: Simplified (2 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (* (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
76.047 * [simplify]: Simplifying (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
76.048 * * [simplify]: iters left: 6 (14 enodes)
76.052 * * [simplify]: iters left: 5 (55 enodes)
76.070 * * [simplify]: iters left: 4 (108 enodes)
76.103 * * [simplify]: iters left: 3 (363 enodes)
76.319 * * [simplify]: Extracting #0: cost 1 inf + 0
76.319 * * [simplify]: Extracting #1: cost 3 inf + 0
76.319 * * [simplify]: Extracting #2: cost 5 inf + 0
76.319 * * [simplify]: Extracting #3: cost 8 inf + 0
76.319 * * [simplify]: Extracting #4: cost 123 inf + 1
76.321 * * [simplify]: Extracting #5: cost 234 inf + 254
76.322 * * [simplify]: Extracting #6: cost 198 inf + 3421
76.326 * * [simplify]: Extracting #7: cost 124 inf + 19089
76.343 * * [simplify]: Extracting #8: cost 4 inf + 47690
76.358 * * [simplify]: Extracting #9: cost 0 inf + 48144
76.379 * [simplify]: Simplified to (sqrt (cbrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
76.379 * [simplify]: Simplified (2 1 2 1 1 1 2) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (* (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (sqrt (cbrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
76.380 * * * * [progress]: [ 24 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
76.380 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
76.380 * * [simplify]: iters left: 6 (14 enodes)
76.388 * * [simplify]: iters left: 5 (55 enodes)
76.406 * * [simplify]: iters left: 4 (108 enodes)
76.458 * * [simplify]: iters left: 3 (363 enodes)
76.686 * * [simplify]: Extracting #0: cost 1 inf + 0
76.686 * * [simplify]: Extracting #1: cost 3 inf + 0
76.686 * * [simplify]: Extracting #2: cost 5 inf + 0
76.686 * * [simplify]: Extracting #3: cost 8 inf + 0
76.686 * * [simplify]: Extracting #4: cost 123 inf + 1
76.690 * * [simplify]: Extracting #5: cost 234 inf + 254
76.692 * * [simplify]: Extracting #6: cost 198 inf + 3421
76.698 * * [simplify]: Extracting #7: cost 124 inf + 18969
76.725 * * [simplify]: Extracting #8: cost 4 inf + 47530
76.751 * * [simplify]: Extracting #9: cost 0 inf + 47984
76.765 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
76.765 * [simplify]: Simplified (2 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
76.766 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
76.766 * * [simplify]: iters left: 6 (14 enodes)
76.770 * * [simplify]: iters left: 5 (55 enodes)
76.780 * * [simplify]: iters left: 4 (108 enodes)
76.818 * * [simplify]: iters left: 3 (363 enodes)
77.053 * * [simplify]: Extracting #0: cost 1 inf + 0
77.053 * * [simplify]: Extracting #1: cost 3 inf + 0
77.053 * * [simplify]: Extracting #2: cost 5 inf + 0
77.053 * * [simplify]: Extracting #3: cost 8 inf + 0
77.054 * * [simplify]: Extracting #4: cost 123 inf + 1
77.055 * * [simplify]: Extracting #5: cost 234 inf + 254
77.057 * * [simplify]: Extracting #6: cost 198 inf + 3421
77.061 * * [simplify]: Extracting #7: cost 124 inf + 18969
77.074 * * [simplify]: Extracting #8: cost 4 inf + 47530
77.095 * * [simplify]: Extracting #9: cost 0 inf + 47984
77.126 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
77.126 * [simplify]: Simplified (2 1 2 1 1 1 2) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
77.126 * * * * [progress]: [ 25 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (* (sqrt 1) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
77.127 * [simplify]: Simplifying (sqrt 1)
77.127 * * [simplify]: iters left: 1 (2 enodes)
77.130 * * [simplify]: Extracting #0: cost 1 inf + 0
77.130 * * [simplify]: Extracting #1: cost 0 inf + 1
77.130 * [simplify]: Simplified to 1
77.130 * [simplify]: Simplified (2 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
77.131 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))
77.131 * * [simplify]: iters left: 6 (13 enodes)
77.138 * * [simplify]: iters left: 5 (52 enodes)
77.159 * * [simplify]: iters left: 4 (105 enodes)
77.208 * * [simplify]: iters left: 3 (359 enodes)
77.444 * * [simplify]: Extracting #0: cost 1 inf + 0
77.444 * * [simplify]: Extracting #1: cost 3 inf + 0
77.444 * * [simplify]: Extracting #2: cost 6 inf + 0
77.444 * * [simplify]: Extracting #3: cost 117 inf + 1
77.446 * * [simplify]: Extracting #4: cost 232 inf + 499
77.447 * * [simplify]: Extracting #5: cost 193 inf + 4157
77.451 * * [simplify]: Extracting #6: cost 119 inf + 19509
77.464 * * [simplify]: Extracting #7: cost 5 inf + 46044
77.479 * * [simplify]: Extracting #8: cost 0 inf + 47122
77.507 * * [simplify]: Extracting #9: cost 0 inf + 47082
77.539 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))
77.539 * [simplify]: Simplified (2 1 2 1 1 1 2) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (* 1 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
77.539 * * * * [progress]: [ 26 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (/ (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
77.540 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3)))
77.540 * * [simplify]: iters left: 6 (16 enodes)
77.550 * * [simplify]: iters left: 5 (70 enodes)
77.578 * * [simplify]: iters left: 4 (176 enodes)
77.683 * * [simplify]: Extracting #0: cost 1 inf + 0
77.683 * * [simplify]: Extracting #1: cost 3 inf + 0
77.683 * * [simplify]: Extracting #2: cost 6 inf + 0
77.683 * * [simplify]: Extracting #3: cost 102 inf + 1
77.684 * * [simplify]: Extracting #4: cost 303 inf + 6
77.687 * * [simplify]: Extracting #5: cost 337 inf + 1173
77.696 * * [simplify]: Extracting #6: cost 236 inf + 28191
77.729 * * [simplify]: Extracting #7: cost 35 inf + 97999
77.757 * * [simplify]: Extracting #8: cost 0 inf + 110285
77.804 * [simplify]: Simplified to (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
77.804 * [simplify]: Simplified (2 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
77.805 * [simplify]: Simplifying (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
77.805 * * [simplify]: iters left: 6 (17 enodes)
77.815 * * [simplify]: iters left: 5 (66 enodes)
77.840 * * [simplify]: iters left: 4 (168 enodes)
77.981 * * [simplify]: Extracting #0: cost 1 inf + 0
77.981 * * [simplify]: Extracting #1: cost 3 inf + 0
77.981 * * [simplify]: Extracting #2: cost 12 inf + 0
77.982 * * [simplify]: Extracting #3: cost 186 inf + 1
77.983 * * [simplify]: Extracting #4: cost 310 inf + 544
77.986 * * [simplify]: Extracting #5: cost 287 inf + 2359
77.992 * * [simplify]: Extracting #6: cost 218 inf + 18238
78.019 * * [simplify]: Extracting #7: cost 31 inf + 76688
78.039 * * [simplify]: Extracting #8: cost 0 inf + 87566
78.079 * * [simplify]: Extracting #9: cost 0 inf + 87410
78.105 * [simplify]: Simplified to (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
78.105 * [simplify]: Simplified (2 1 2 1 1 1 2) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
78.106 * * * * [progress]: [ 27 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (/ (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
78.106 * [simplify]: Simplifying (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1)))
78.106 * * [simplify]: iters left: 6 (15 enodes)
78.111 * * [simplify]: iters left: 5 (62 enodes)
78.126 * * [simplify]: iters left: 4 (150 enodes)
78.251 * * [simplify]: Extracting #0: cost 1 inf + 0
78.251 * * [simplify]: Extracting #1: cost 3 inf + 0
78.251 * * [simplify]: Extracting #2: cost 9 inf + 0
78.252 * * [simplify]: Extracting #3: cost 105 inf + 2
78.253 * * [simplify]: Extracting #4: cost 284 inf + 48
78.256 * * [simplify]: Extracting #5: cost 276 inf + 2210
78.264 * * [simplify]: Extracting #6: cost 201 inf + 21365
78.292 * * [simplify]: Extracting #7: cost 34 inf + 73136
78.329 * * [simplify]: Extracting #8: cost 0 inf + 84845
78.350 * [simplify]: Simplified to (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))
78.350 * [simplify]: Simplified (2 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (/ (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
78.351 * [simplify]: Simplifying (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))
78.351 * * [simplify]: iters left: 6 (13 enodes)
78.355 * * [simplify]: iters left: 5 (57 enodes)
78.372 * * [simplify]: iters left: 4 (119 enodes)
78.425 * * [simplify]: iters left: 3 (390 enodes)
78.684 * * [simplify]: Extracting #0: cost 1 inf + 0
78.684 * * [simplify]: Extracting #1: cost 3 inf + 0
78.684 * * [simplify]: Extracting #2: cost 12 inf + 0
78.685 * * [simplify]: Extracting #3: cost 154 inf + 2
78.686 * * [simplify]: Extracting #4: cost 269 inf + 131
78.687 * * [simplify]: Extracting #5: cost 242 inf + 2315
78.692 * * [simplify]: Extracting #6: cost 156 inf + 19810
78.715 * * [simplify]: Extracting #7: cost 13 inf + 55104
78.735 * * [simplify]: Extracting #8: cost 0 inf + 58131
78.753 * * [simplify]: Extracting #9: cost 0 inf + 58091
78.777 * [simplify]: Simplified to (sqrt (+ -1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))
78.777 * [simplify]: Simplified (2 1 2 1 1 1 2) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (/ (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) (sqrt (+ -1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
78.778 * * * * [progress]: [ 28 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (pow (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (/ 1 2)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
78.778 * [simplify]: Simplifying (/ 1 2)
78.778 * * [simplify]: iters left: 2 (3 enodes)
78.780 * * [simplify]: iters left: 1 (12 enodes)
78.782 * * [simplify]: Extracting #0: cost 1 inf + 0
78.782 * * [simplify]: Extracting #1: cost 0 inf + 1
78.783 * [simplify]: Simplified to 1/2
78.783 * [simplify]: Simplified (2 1 2 1 1 1 2) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (pow (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 1/2) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
78.783 * * * * [progress]: [ 29 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
78.783 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
78.783 * * [simplify]: iters left: 6 (14 enodes)
78.791 * * [simplify]: iters left: 5 (55 enodes)
78.809 * * [simplify]: iters left: 4 (108 enodes)
78.841 * * [simplify]: iters left: 3 (363 enodes)
79.020 * * [simplify]: Extracting #0: cost 1 inf + 0
79.020 * * [simplify]: Extracting #1: cost 3 inf + 0
79.020 * * [simplify]: Extracting #2: cost 5 inf + 0
79.020 * * [simplify]: Extracting #3: cost 8 inf + 0
79.020 * * [simplify]: Extracting #4: cost 123 inf + 1
79.021 * * [simplify]: Extracting #5: cost 234 inf + 254
79.023 * * [simplify]: Extracting #6: cost 198 inf + 3421
79.027 * * [simplify]: Extracting #7: cost 124 inf + 18969
79.041 * * [simplify]: Extracting #8: cost 4 inf + 47530
79.056 * * [simplify]: Extracting #9: cost 0 inf + 47984
79.074 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
79.074 * [simplify]: Simplified (2 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
79.075 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
79.075 * * [simplify]: iters left: 6 (14 enodes)
79.082 * * [simplify]: iters left: 5 (55 enodes)
79.104 * * [simplify]: iters left: 4 (108 enodes)
79.153 * * [simplify]: iters left: 3 (363 enodes)
79.438 * * [simplify]: Extracting #0: cost 1 inf + 0
79.438 * * [simplify]: Extracting #1: cost 3 inf + 0
79.438 * * [simplify]: Extracting #2: cost 5 inf + 0
79.438 * * [simplify]: Extracting #3: cost 8 inf + 0
79.438 * * [simplify]: Extracting #4: cost 123 inf + 1
79.439 * * [simplify]: Extracting #5: cost 234 inf + 254
79.441 * * [simplify]: Extracting #6: cost 198 inf + 3421
79.445 * * [simplify]: Extracting #7: cost 124 inf + 18969
79.472 * * [simplify]: Extracting #8: cost 4 inf + 47530
79.502 * * [simplify]: Extracting #9: cost 0 inf + 47984
79.536 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
79.536 * [simplify]: Simplified (2 1 2 1 1 1 2) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
79.536 * * * * [progress]: [ 30 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (fabs (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
79.537 * * * * [progress]: [ 31 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
79.537 * * * * [progress]: [ 32 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (posit16->real (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
79.537 * [simplify]: Simplifying (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
79.537 * * [simplify]: iters left: 6 (14 enodes)
79.544 * * [simplify]: iters left: 5 (52 enodes)
79.554 * * [simplify]: iters left: 4 (105 enodes)
79.587 * * [simplify]: iters left: 3 (360 enodes)
79.831 * * [simplify]: Extracting #0: cost 1 inf + 0
79.831 * * [simplify]: Extracting #1: cost 2 inf + 0
79.831 * * [simplify]: Extracting #2: cost 3 inf + 0
79.831 * * [simplify]: Extracting #3: cost 6 inf + 0
79.831 * * [simplify]: Extracting #4: cost 117 inf + 1
79.834 * * [simplify]: Extracting #5: cost 234 inf + 213
79.837 * * [simplify]: Extracting #6: cost 193 inf + 3749
79.845 * * [simplify]: Extracting #7: cost 120 inf + 18804
79.870 * * [simplify]: Extracting #8: cost 7 inf + 45515
79.903 * * [simplify]: Extracting #9: cost 0 inf + 47116
79.932 * [simplify]: Simplified to (real->posit16 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))
79.932 * [simplify]: Simplified (2 1 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (posit16->real (real->posit16 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
79.932 * * * * [progress]: [ 33 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (pow (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 1/2) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
79.932 * * * * [progress]: [ 34 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (pow (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 1) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
79.932 * * * * [progress]: [ 35 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (exp (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
79.933 * [simplify]: Simplifying (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
79.933 * * [simplify]: iters left: 6 (14 enodes)
79.940 * * [simplify]: iters left: 5 (55 enodes)
79.959 * * [simplify]: iters left: 4 (108 enodes)
79.986 * * [simplify]: iters left: 3 (363 enodes)
80.187 * * [simplify]: Extracting #0: cost 1 inf + 0
80.188 * * [simplify]: Extracting #1: cost 3 inf + 0
80.188 * * [simplify]: Extracting #2: cost 5 inf + 0
80.188 * * [simplify]: Extracting #3: cost 8 inf + 0
80.188 * * [simplify]: Extracting #4: cost 123 inf + 1
80.189 * * [simplify]: Extracting #5: cost 234 inf + 254
80.191 * * [simplify]: Extracting #6: cost 198 inf + 3421
80.195 * * [simplify]: Extracting #7: cost 124 inf + 19029
80.217 * * [simplify]: Extracting #8: cost 4 inf + 47590
80.233 * * [simplify]: Extracting #9: cost 0 inf + 48044
80.248 * [simplify]: Simplified to (log (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
80.248 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (exp (log (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
80.248 * * * * [progress]: [ 36 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (log (exp (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
80.249 * [simplify]: Simplifying (exp (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
80.249 * * [simplify]: iters left: 6 (14 enodes)
80.256 * * [simplify]: iters left: 5 (55 enodes)
80.275 * * [simplify]: iters left: 4 (108 enodes)
80.304 * * [simplify]: iters left: 3 (363 enodes)
80.536 * * [simplify]: Extracting #0: cost 1 inf + 0
80.536 * * [simplify]: Extracting #1: cost 3 inf + 0
80.536 * * [simplify]: Extracting #2: cost 5 inf + 0
80.536 * * [simplify]: Extracting #3: cost 8 inf + 0
80.536 * * [simplify]: Extracting #4: cost 123 inf + 1
80.539 * * [simplify]: Extracting #5: cost 234 inf + 254
80.542 * * [simplify]: Extracting #6: cost 198 inf + 3421
80.550 * * [simplify]: Extracting #7: cost 124 inf + 19029
80.582 * * [simplify]: Extracting #8: cost 4 inf + 47590
80.603 * * [simplify]: Extracting #9: cost 0 inf + 48044
80.618 * [simplify]: Simplified to (exp (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
80.618 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (log (exp (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
80.618 * * * * [progress]: [ 37 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
80.619 * [simplify]: Simplifying (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
80.619 * * [simplify]: iters left: 6 (15 enodes)
80.623 * * [simplify]: iters left: 5 (58 enodes)
80.642 * * [simplify]: iters left: 4 (111 enodes)
80.686 * * [simplify]: iters left: 3 (365 enodes)
80.913 * * [simplify]: Extracting #0: cost 1 inf + 0
80.913 * * [simplify]: Extracting #1: cost 3 inf + 0
80.913 * * [simplify]: Extracting #2: cost 5 inf + 0
80.913 * * [simplify]: Extracting #3: cost 7 inf + 0
80.913 * * [simplify]: Extracting #4: cost 10 inf + 0
80.913 * * [simplify]: Extracting #5: cost 125 inf + 1
80.915 * * [simplify]: Extracting #6: cost 240 inf + 170
80.918 * * [simplify]: Extracting #7: cost 204 inf + 3339
80.927 * * [simplify]: Extracting #8: cost 123 inf + 20649
80.953 * * [simplify]: Extracting #9: cost 13 inf + 46700
80.982 * * [simplify]: Extracting #10: cost 0 inf + 49568
81.012 * * [simplify]: Extracting #11: cost 0 inf + 49565
81.044 * [simplify]: Simplified to (* (cbrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))
81.044 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (* (cbrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cbrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
81.045 * [simplify]: Simplifying (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
81.045 * * [simplify]: iters left: 6 (14 enodes)
81.053 * * [simplify]: iters left: 5 (55 enodes)
81.071 * * [simplify]: iters left: 4 (108 enodes)
81.104 * * [simplify]: iters left: 3 (363 enodes)
81.352 * * [simplify]: Extracting #0: cost 1 inf + 0
81.352 * * [simplify]: Extracting #1: cost 3 inf + 0
81.352 * * [simplify]: Extracting #2: cost 5 inf + 0
81.352 * * [simplify]: Extracting #3: cost 8 inf + 0
81.353 * * [simplify]: Extracting #4: cost 123 inf + 1
81.355 * * [simplify]: Extracting #5: cost 234 inf + 254
81.359 * * [simplify]: Extracting #6: cost 198 inf + 3421
81.367 * * [simplify]: Extracting #7: cost 124 inf + 19049
81.394 * * [simplify]: Extracting #8: cost 4 inf + 47610
81.424 * * [simplify]: Extracting #9: cost 0 inf + 48064
81.448 * [simplify]: Simplified to (cbrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
81.448 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (cbrt (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
81.448 * * * * [progress]: [ 38 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
81.449 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
81.449 * * [simplify]: iters left: 6 (15 enodes)
81.453 * * [simplify]: iters left: 5 (57 enodes)
81.463 * * [simplify]: iters left: 4 (121 enodes)
81.497 * * [simplify]: iters left: 3 (434 enodes)
81.864 * * [simplify]: Extracting #0: cost 1 inf + 0
81.864 * * [simplify]: Extracting #1: cost 8 inf + 0
81.865 * * [simplify]: Extracting #2: cost 175 inf + 2
81.868 * * [simplify]: Extracting #3: cost 394 inf + 132
81.873 * * [simplify]: Extracting #4: cost 376 inf + 2811
81.882 * * [simplify]: Extracting #5: cost 261 inf + 26437
81.899 * * [simplify]: Extracting #6: cost 94 inf + 79350
81.965 * * [simplify]: Extracting #7: cost 3 inf + 120233
82.012 * * [simplify]: Extracting #8: cost 0 inf + 121307
82.071 * [simplify]: Simplified to (* (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
82.071 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (cbrt (* (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
82.072 * * * * [progress]: [ 39 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
82.072 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
82.072 * * [simplify]: iters left: 6 (15 enodes)
82.076 * * [simplify]: iters left: 5 (59 enodes)
82.086 * * [simplify]: iters left: 4 (112 enodes)
82.136 * * [simplify]: iters left: 3 (365 enodes)
82.370 * * [simplify]: Extracting #0: cost 1 inf + 0
82.370 * * [simplify]: Extracting #1: cost 4 inf + 0
82.370 * * [simplify]: Extracting #2: cost 7 inf + 0
82.370 * * [simplify]: Extracting #3: cost 10 inf + 0
82.370 * * [simplify]: Extracting #4: cost 121 inf + 1
82.371 * * [simplify]: Extracting #5: cost 240 inf + 89
82.373 * * [simplify]: Extracting #6: cost 208 inf + 2970
82.376 * * [simplify]: Extracting #7: cost 135 inf + 16700
82.396 * * [simplify]: Extracting #8: cost 10 inf + 46860
82.416 * * [simplify]: Extracting #9: cost 0 inf + 48655
82.431 * * [simplify]: Extracting #10: cost 0 inf + 48654
82.446 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
82.446 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
82.446 * [simplify]: Simplifying (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
82.446 * * [simplify]: iters left: 6 (14 enodes)
82.450 * * [simplify]: iters left: 5 (55 enodes)
82.464 * * [simplify]: iters left: 4 (108 enodes)
82.517 * * [simplify]: iters left: 3 (363 enodes)
82.723 * * [simplify]: Extracting #0: cost 1 inf + 0
82.723 * * [simplify]: Extracting #1: cost 3 inf + 0
82.723 * * [simplify]: Extracting #2: cost 5 inf + 0
82.723 * * [simplify]: Extracting #3: cost 8 inf + 0
82.723 * * [simplify]: Extracting #4: cost 123 inf + 1
82.725 * * [simplify]: Extracting #5: cost 234 inf + 254
82.728 * * [simplify]: Extracting #6: cost 198 inf + 3421
82.740 * * [simplify]: Extracting #7: cost 124 inf + 19089
82.753 * * [simplify]: Extracting #8: cost 4 inf + 47690
82.770 * * [simplify]: Extracting #9: cost 0 inf + 48144
82.800 * [simplify]: Simplified to (sqrt (cbrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
82.800 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (sqrt (cbrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
82.801 * * * * [progress]: [ 40 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
82.801 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
82.801 * * [simplify]: iters left: 6 (14 enodes)
82.809 * * [simplify]: iters left: 5 (55 enodes)
82.828 * * [simplify]: iters left: 4 (108 enodes)
82.881 * * [simplify]: iters left: 3 (363 enodes)
83.108 * * [simplify]: Extracting #0: cost 1 inf + 0
83.108 * * [simplify]: Extracting #1: cost 3 inf + 0
83.108 * * [simplify]: Extracting #2: cost 5 inf + 0
83.108 * * [simplify]: Extracting #3: cost 8 inf + 0
83.109 * * [simplify]: Extracting #4: cost 123 inf + 1
83.111 * * [simplify]: Extracting #5: cost 234 inf + 254
83.115 * * [simplify]: Extracting #6: cost 198 inf + 3421
83.121 * * [simplify]: Extracting #7: cost 124 inf + 18969
83.134 * * [simplify]: Extracting #8: cost 4 inf + 47530
83.149 * * [simplify]: Extracting #9: cost 0 inf + 47984
83.179 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
83.179 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
83.180 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
83.180 * * [simplify]: iters left: 6 (14 enodes)
83.187 * * [simplify]: iters left: 5 (55 enodes)
83.204 * * [simplify]: iters left: 4 (108 enodes)
83.231 * * [simplify]: iters left: 3 (363 enodes)
83.465 * * [simplify]: Extracting #0: cost 1 inf + 0
83.465 * * [simplify]: Extracting #1: cost 3 inf + 0
83.465 * * [simplify]: Extracting #2: cost 5 inf + 0
83.465 * * [simplify]: Extracting #3: cost 8 inf + 0
83.465 * * [simplify]: Extracting #4: cost 123 inf + 1
83.467 * * [simplify]: Extracting #5: cost 234 inf + 254
83.468 * * [simplify]: Extracting #6: cost 198 inf + 3421
83.473 * * [simplify]: Extracting #7: cost 124 inf + 18969
83.490 * * [simplify]: Extracting #8: cost 4 inf + 47530
83.520 * * [simplify]: Extracting #9: cost 0 inf + 47984
83.550 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
83.550 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
83.551 * * * * [progress]: [ 41 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (sqrt 1) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
83.551 * [simplify]: Simplifying (sqrt 1)
83.551 * * [simplify]: iters left: 1 (2 enodes)
83.555 * * [simplify]: Extracting #0: cost 1 inf + 0
83.555 * * [simplify]: Extracting #1: cost 0 inf + 1
83.555 * [simplify]: Simplified to 1
83.555 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
83.556 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))
83.556 * * [simplify]: iters left: 6 (13 enodes)
83.566 * * [simplify]: iters left: 5 (52 enodes)
83.584 * * [simplify]: iters left: 4 (105 enodes)
83.632 * * [simplify]: iters left: 3 (359 enodes)
83.894 * * [simplify]: Extracting #0: cost 1 inf + 0
83.894 * * [simplify]: Extracting #1: cost 3 inf + 0
83.894 * * [simplify]: Extracting #2: cost 6 inf + 0
83.895 * * [simplify]: Extracting #3: cost 117 inf + 1
83.897 * * [simplify]: Extracting #4: cost 232 inf + 499
83.900 * * [simplify]: Extracting #5: cost 193 inf + 4157
83.908 * * [simplify]: Extracting #6: cost 119 inf + 19509
83.933 * * [simplify]: Extracting #7: cost 5 inf + 46044
83.963 * * [simplify]: Extracting #8: cost 0 inf + 47122
83.996 * * [simplify]: Extracting #9: cost 0 inf + 47082
84.025 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))
84.025 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (cbrt (* (* (* 1 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
84.026 * * * * [progress]: [ 42 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (/ (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
84.026 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3)))
84.026 * * [simplify]: iters left: 6 (16 enodes)
84.036 * * [simplify]: iters left: 5 (70 enodes)
84.065 * * [simplify]: iters left: 4 (176 enodes)
84.192 * * [simplify]: Extracting #0: cost 1 inf + 0
84.193 * * [simplify]: Extracting #1: cost 3 inf + 0
84.193 * * [simplify]: Extracting #2: cost 6 inf + 0
84.193 * * [simplify]: Extracting #3: cost 102 inf + 1
84.194 * * [simplify]: Extracting #4: cost 303 inf + 6
84.195 * * [simplify]: Extracting #5: cost 337 inf + 1173
84.199 * * [simplify]: Extracting #6: cost 236 inf + 28191
84.225 * * [simplify]: Extracting #7: cost 35 inf + 97999
84.257 * * [simplify]: Extracting #8: cost 0 inf + 110285
84.281 * [simplify]: Simplified to (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
84.281 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
84.281 * [simplify]: Simplifying (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
84.281 * * [simplify]: iters left: 6 (17 enodes)
84.286 * * [simplify]: iters left: 5 (66 enodes)
84.300 * * [simplify]: iters left: 4 (168 enodes)
84.411 * * [simplify]: Extracting #0: cost 1 inf + 0
84.412 * * [simplify]: Extracting #1: cost 3 inf + 0
84.412 * * [simplify]: Extracting #2: cost 12 inf + 0
84.412 * * [simplify]: Extracting #3: cost 186 inf + 1
84.413 * * [simplify]: Extracting #4: cost 310 inf + 544
84.415 * * [simplify]: Extracting #5: cost 287 inf + 2359
84.422 * * [simplify]: Extracting #6: cost 218 inf + 18238
84.449 * * [simplify]: Extracting #7: cost 31 inf + 76688
84.488 * * [simplify]: Extracting #8: cost 0 inf + 87566
84.527 * * [simplify]: Extracting #9: cost 0 inf + 87410
84.569 * [simplify]: Simplified to (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
84.570 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (cbrt (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
84.570 * * * * [progress]: [ 43 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (/ (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
84.571 * [simplify]: Simplifying (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1)))
84.571 * * [simplify]: iters left: 6 (15 enodes)
84.580 * * [simplify]: iters left: 5 (62 enodes)
84.603 * * [simplify]: iters left: 4 (150 enodes)
84.730 * * [simplify]: Extracting #0: cost 1 inf + 0
84.730 * * [simplify]: Extracting #1: cost 3 inf + 0
84.730 * * [simplify]: Extracting #2: cost 9 inf + 0
84.731 * * [simplify]: Extracting #3: cost 105 inf + 2
84.732 * * [simplify]: Extracting #4: cost 284 inf + 48
84.735 * * [simplify]: Extracting #5: cost 276 inf + 2210
84.742 * * [simplify]: Extracting #6: cost 201 inf + 21365
84.771 * * [simplify]: Extracting #7: cost 34 inf + 73136
84.789 * * [simplify]: Extracting #8: cost 0 inf + 84845
84.810 * [simplify]: Simplified to (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))
84.810 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (/ (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
84.810 * [simplify]: Simplifying (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))
84.810 * * [simplify]: iters left: 6 (13 enodes)
84.817 * * [simplify]: iters left: 5 (57 enodes)
84.838 * * [simplify]: iters left: 4 (119 enodes)
84.892 * * [simplify]: iters left: 3 (390 enodes)
85.116 * * [simplify]: Extracting #0: cost 1 inf + 0
85.116 * * [simplify]: Extracting #1: cost 3 inf + 0
85.116 * * [simplify]: Extracting #2: cost 12 inf + 0
85.117 * * [simplify]: Extracting #3: cost 154 inf + 2
85.119 * * [simplify]: Extracting #4: cost 269 inf + 131
85.123 * * [simplify]: Extracting #5: cost 242 inf + 2315
85.131 * * [simplify]: Extracting #6: cost 156 inf + 19810
85.165 * * [simplify]: Extracting #7: cost 13 inf + 55104
85.200 * * [simplify]: Extracting #8: cost 0 inf + 58131
85.227 * * [simplify]: Extracting #9: cost 0 inf + 58091
85.244 * [simplify]: Simplified to (sqrt (+ -1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))
85.244 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (cbrt (* (* (/ (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) (sqrt (+ -1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
85.244 * * * * [progress]: [ 44 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (pow (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (/ 1 2)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
85.244 * [simplify]: Simplifying (/ 1 2)
85.244 * * [simplify]: iters left: 2 (3 enodes)
85.247 * * [simplify]: iters left: 1 (12 enodes)
85.249 * * [simplify]: Extracting #0: cost 1 inf + 0
85.249 * * [simplify]: Extracting #1: cost 0 inf + 1
85.249 * [simplify]: Simplified to 1/2
85.249 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (cbrt (* (* (pow (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 1/2) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
85.249 * * * * [progress]: [ 45 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
85.250 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
85.250 * * [simplify]: iters left: 6 (14 enodes)
85.253 * * [simplify]: iters left: 5 (55 enodes)
85.263 * * [simplify]: iters left: 4 (108 enodes)
85.304 * * [simplify]: iters left: 3 (363 enodes)
85.556 * * [simplify]: Extracting #0: cost 1 inf + 0
85.556 * * [simplify]: Extracting #1: cost 3 inf + 0
85.556 * * [simplify]: Extracting #2: cost 5 inf + 0
85.556 * * [simplify]: Extracting #3: cost 8 inf + 0
85.556 * * [simplify]: Extracting #4: cost 123 inf + 1
85.558 * * [simplify]: Extracting #5: cost 234 inf + 254
85.560 * * [simplify]: Extracting #6: cost 198 inf + 3421
85.565 * * [simplify]: Extracting #7: cost 124 inf + 18969
85.578 * * [simplify]: Extracting #8: cost 4 inf + 47530
85.604 * * [simplify]: Extracting #9: cost 0 inf + 47984
85.633 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
85.633 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
85.634 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
85.634 * * [simplify]: iters left: 6 (14 enodes)
85.642 * * [simplify]: iters left: 5 (55 enodes)
85.664 * * [simplify]: iters left: 4 (108 enodes)
85.694 * * [simplify]: iters left: 3 (363 enodes)
85.895 * * [simplify]: Extracting #0: cost 1 inf + 0
85.895 * * [simplify]: Extracting #1: cost 3 inf + 0
85.895 * * [simplify]: Extracting #2: cost 5 inf + 0
85.895 * * [simplify]: Extracting #3: cost 8 inf + 0
85.896 * * [simplify]: Extracting #4: cost 123 inf + 1
85.897 * * [simplify]: Extracting #5: cost 234 inf + 254
85.898 * * [simplify]: Extracting #6: cost 198 inf + 3421
85.903 * * [simplify]: Extracting #7: cost 124 inf + 18969
85.917 * * [simplify]: Extracting #8: cost 4 inf + 47530
85.936 * * [simplify]: Extracting #9: cost 0 inf + 47984
85.953 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
85.954 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
85.954 * * * * [progress]: [ 46 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (fabs (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
85.954 * * * * [progress]: [ 47 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
85.954 * * * * [progress]: [ 48 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (posit16->real (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
85.954 * [simplify]: Simplifying (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
85.954 * * [simplify]: iters left: 6 (14 enodes)
85.958 * * [simplify]: iters left: 5 (52 enodes)
85.976 * * [simplify]: iters left: 4 (105 enodes)
86.008 * * [simplify]: iters left: 3 (360 enodes)
86.224 * * [simplify]: Extracting #0: cost 1 inf + 0
86.224 * * [simplify]: Extracting #1: cost 2 inf + 0
86.224 * * [simplify]: Extracting #2: cost 3 inf + 0
86.224 * * [simplify]: Extracting #3: cost 6 inf + 0
86.224 * * [simplify]: Extracting #4: cost 117 inf + 1
86.226 * * [simplify]: Extracting #5: cost 234 inf + 213
86.230 * * [simplify]: Extracting #6: cost 193 inf + 3749
86.236 * * [simplify]: Extracting #7: cost 120 inf + 18804
86.249 * * [simplify]: Extracting #8: cost 7 inf + 45515
86.268 * * [simplify]: Extracting #9: cost 0 inf + 47116
86.297 * [simplify]: Simplified to (real->posit16 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))
86.297 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (posit16->real (real->posit16 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
86.298 * * * * [progress]: [ 49 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (pow (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 1))))>
86.298 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))
86.298 * * [simplify]: iters left: 6 (16 enodes)
86.307 * * [simplify]: iters left: 5 (67 enodes)
86.331 * * [simplify]: iters left: 4 (143 enodes)
86.398 * * [simplify]: iters left: 3 (434 enodes)
86.649 * * [simplify]: Extracting #0: cost 1 inf + 0
86.649 * * [simplify]: Extracting #1: cost 17 inf + 0
86.650 * * [simplify]: Extracting #2: cost 29 inf + 2
86.650 * * [simplify]: Extracting #3: cost 34 inf + 44
86.651 * * [simplify]: Extracting #4: cost 139 inf + 89
86.654 * * [simplify]: Extracting #5: cost 230 inf + 4355
86.674 * * [simplify]: Extracting #6: cost 41 inf + 43073
86.695 * * [simplify]: Extracting #7: cost 3 inf + 52964
86.712 * * [simplify]: Extracting #8: cost 0 inf + 53957
86.747 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J))
86.748 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 1))))
86.748 * * * * [progress]: [ 50 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (pow (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 1))))>
86.748 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))
86.748 * * [simplify]: iters left: 6 (16 enodes)
86.753 * * [simplify]: iters left: 5 (67 enodes)
86.764 * * [simplify]: iters left: 4 (143 enodes)
86.796 * * [simplify]: iters left: 3 (434 enodes)
87.055 * * [simplify]: Extracting #0: cost 1 inf + 0
87.055 * * [simplify]: Extracting #1: cost 17 inf + 0
87.055 * * [simplify]: Extracting #2: cost 29 inf + 2
87.055 * * [simplify]: Extracting #3: cost 34 inf + 44
87.055 * * [simplify]: Extracting #4: cost 139 inf + 89
87.057 * * [simplify]: Extracting #5: cost 230 inf + 4355
87.070 * * [simplify]: Extracting #6: cost 41 inf + 43073
87.087 * * [simplify]: Extracting #7: cost 3 inf + 52964
87.118 * * [simplify]: Extracting #8: cost 0 inf + 53957
87.152 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J))
87.152 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 1))))
87.152 * * * * [progress]: [ 51 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (pow (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 1))))>
87.152 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))
87.153 * * [simplify]: iters left: 6 (16 enodes)
87.162 * * [simplify]: iters left: 5 (67 enodes)
87.185 * * [simplify]: iters left: 4 (143 enodes)
87.251 * * [simplify]: iters left: 3 (434 enodes)
87.498 * * [simplify]: Extracting #0: cost 1 inf + 0
87.498 * * [simplify]: Extracting #1: cost 17 inf + 0
87.499 * * [simplify]: Extracting #2: cost 29 inf + 2
87.499 * * [simplify]: Extracting #3: cost 34 inf + 44
87.499 * * [simplify]: Extracting #4: cost 139 inf + 89
87.503 * * [simplify]: Extracting #5: cost 230 inf + 4355
87.524 * * [simplify]: Extracting #6: cost 41 inf + 43073
87.558 * * [simplify]: Extracting #7: cost 3 inf + 52964
87.597 * * [simplify]: Extracting #8: cost 0 inf + 53957
87.630 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J))
87.630 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 1))))
87.630 * * * * [progress]: [ 52 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (pow (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 1))))>
87.631 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))
87.631 * * [simplify]: iters left: 6 (16 enodes)
87.640 * * [simplify]: iters left: 5 (67 enodes)
87.664 * * [simplify]: iters left: 4 (143 enodes)
87.731 * * [simplify]: iters left: 3 (434 enodes)
87.970 * * [simplify]: Extracting #0: cost 1 inf + 0
87.971 * * [simplify]: Extracting #1: cost 17 inf + 0
87.971 * * [simplify]: Extracting #2: cost 29 inf + 2
87.971 * * [simplify]: Extracting #3: cost 34 inf + 44
87.972 * * [simplify]: Extracting #4: cost 139 inf + 89
87.975 * * [simplify]: Extracting #5: cost 230 inf + 4355
87.995 * * [simplify]: Extracting #6: cost 41 inf + 43073
88.029 * * [simplify]: Extracting #7: cost 3 inf + 52964
88.063 * * [simplify]: Extracting #8: cost 0 inf + 53957
88.102 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J))
88.102 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 1))))
88.103 * * * * [progress]: [ 53 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (pow (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 1))))>
88.103 * * * * [progress]: [ 54 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (exp (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (log (cos (/ K 2))) (log J)))))))>
88.103 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (log (cos (/ K 2))) (log J)))
88.103 * * [simplify]: iters left: 6 (21 enodes)
88.115 * * [simplify]: iters left: 5 (83 enodes)
88.135 * * [simplify]: iters left: 4 (159 enodes)
88.177 * * [simplify]: iters left: 3 (450 enodes)
88.402 * * [simplify]: Extracting #0: cost 1 inf + 0
88.402 * * [simplify]: Extracting #1: cost 16 inf + 0
88.402 * * [simplify]: Extracting #2: cost 34 inf + 0
88.403 * * [simplify]: Extracting #3: cost 34 inf + 144
88.403 * * [simplify]: Extracting #4: cost 38 inf + 397
88.404 * * [simplify]: Extracting #5: cost 148 inf + 653
88.408 * * [simplify]: Extracting #6: cost 236 inf + 4691
88.427 * * [simplify]: Extracting #7: cost 67 inf + 40778
88.460 * * [simplify]: Extracting #8: cost 2 inf + 58960
88.496 * * [simplify]: Extracting #9: cost 0 inf + 59799
88.525 * [simplify]: Simplified to (+ (+ (log -2) (log (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (+ (log (cos (/ K 2))) (log J)))
88.525 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (exp (+ (+ (log -2) (log (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (+ (log (cos (/ K 2))) (log J)))))))
88.525 * * * * [progress]: [ 55 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (exp (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (log (* (cos (/ K 2)) J)))))))>
88.526 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (log (* (cos (/ K 2)) J)))
88.526 * * [simplify]: iters left: 6 (19 enodes)
88.531 * * [simplify]: iters left: 5 (77 enodes)
88.546 * * [simplify]: iters left: 4 (149 enodes)
88.579 * * [simplify]: iters left: 3 (437 enodes)
88.818 * * [simplify]: Extracting #0: cost 1 inf + 0
88.818 * * [simplify]: Extracting #1: cost 16 inf + 0
88.819 * * [simplify]: Extracting #2: cost 35 inf + 0
88.819 * * [simplify]: Extracting #3: cost 36 inf + 144
88.819 * * [simplify]: Extracting #4: cost 40 inf + 397
88.820 * * [simplify]: Extracting #5: cost 146 inf + 653
88.823 * * [simplify]: Extracting #6: cost 234 inf + 5259
88.848 * * [simplify]: Extracting #7: cost 50 inf + 43882
88.882 * * [simplify]: Extracting #8: cost 2 inf + 58004
88.916 * * [simplify]: Extracting #9: cost 0 inf + 58882
88.949 * [simplify]: Simplified to (+ (log (* (cos (/ K 2)) J)) (+ (log -2) (log (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))
88.949 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (exp (+ (log (* (cos (/ K 2)) J)) (+ (log -2) (log (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))))
88.950 * * * * [progress]: [ 56 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (exp (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (log (cos (/ K 2))) (log J)))))))>
88.950 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (log (cos (/ K 2))) (log J)))
88.950 * * [simplify]: iters left: 6 (20 enodes)
88.956 * * [simplify]: iters left: 5 (81 enodes)
88.970 * * [simplify]: iters left: 4 (153 enodes)
89.010 * * [simplify]: iters left: 3 (441 enodes)
89.250 * * [simplify]: Extracting #0: cost 1 inf + 0
89.250 * * [simplify]: Extracting #1: cost 16 inf + 0
89.250 * * [simplify]: Extracting #2: cost 35 inf + 0
89.251 * * [simplify]: Extracting #3: cost 38 inf + 2
89.251 * * [simplify]: Extracting #4: cost 42 inf + 144
89.251 * * [simplify]: Extracting #5: cost 144 inf + 653
89.255 * * [simplify]: Extracting #6: cost 240 inf + 4284
89.271 * * [simplify]: Extracting #7: cost 76 inf + 37996
89.291 * * [simplify]: Extracting #8: cost 2 inf + 58891
89.309 * * [simplify]: Extracting #9: cost 0 inf + 59449
89.338 * [simplify]: Simplified to (+ (+ (log J) (log (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))))
89.338 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (exp (+ (+ (log J) (log (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))))))))
89.339 * * * * [progress]: [ 57 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (exp (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (log (* (cos (/ K 2)) J)))))))>
89.339 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (log (* (cos (/ K 2)) J)))
89.339 * * [simplify]: iters left: 6 (18 enodes)
89.349 * * [simplify]: iters left: 5 (75 enodes)
89.374 * * [simplify]: iters left: 4 (146 enodes)
89.429 * * [simplify]: iters left: 3 (432 enodes)
89.673 * * [simplify]: Extracting #0: cost 1 inf + 0
89.673 * * [simplify]: Extracting #1: cost 16 inf + 0
89.673 * * [simplify]: Extracting #2: cost 36 inf + 0
89.674 * * [simplify]: Extracting #3: cost 38 inf + 144
89.674 * * [simplify]: Extracting #4: cost 40 inf + 650
89.675 * * [simplify]: Extracting #5: cost 149 inf + 653
89.680 * * [simplify]: Extracting #6: cost 225 inf + 7275
89.696 * * [simplify]: Extracting #7: cost 49 inf + 44427
89.713 * * [simplify]: Extracting #8: cost 6 inf + 56342
89.741 * * [simplify]: Extracting #9: cost 0 inf + 59090
89.758 * [simplify]: Simplified to (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (log (* (cos (/ K 2)) J)))
89.758 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (exp (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (log (* (cos (/ K 2)) J)))))))
89.759 * * * * [progress]: [ 58 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (exp (log (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))))>
89.759 * [simplify]: Simplifying (log (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))
89.759 * * [simplify]: iters left: 6 (17 enodes)
89.764 * * [simplify]: iters left: 5 (73 enodes)
89.787 * * [simplify]: iters left: 4 (166 enodes)
89.833 * * [simplify]: iters left: 3 (488 enodes)
90.100 * * [simplify]: Extracting #0: cost 1 inf + 0
90.100 * * [simplify]: Extracting #1: cost 21 inf + 0
90.101 * * [simplify]: Extracting #2: cost 54 inf + 0
90.101 * * [simplify]: Extracting #3: cost 65 inf + 73
90.102 * * [simplify]: Extracting #4: cost 64 inf + 734
90.103 * * [simplify]: Extracting #5: cost 168 inf + 821
90.105 * * [simplify]: Extracting #6: cost 263 inf + 4308
90.114 * * [simplify]: Extracting #7: cost 91 inf + 40732
90.133 * * [simplify]: Extracting #8: cost 5 inf + 63617
90.157 * * [simplify]: Extracting #9: cost 0 inf + 65842
90.195 * [simplify]: Simplified to (log (* (* -2 (* (cos (/ K 2)) J)) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))
90.195 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (exp (log (* (* -2 (* (cos (/ K 2)) J)) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))
90.195 * * * * [progress]: [ 59 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (log (exp (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))))>
90.196 * [simplify]: Simplifying (exp (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))
90.196 * * [simplify]: iters left: 6 (17 enodes)
90.205 * * [simplify]: iters left: 5 (72 enodes)
90.218 * * [simplify]: iters left: 4 (162 enodes)
90.269 * * [simplify]: iters left: 3 (497 enodes)
90.555 * * [simplify]: Extracting #0: cost 1 inf + 0
90.556 * * [simplify]: Extracting #1: cost 42 inf + 0
90.556 * * [simplify]: Extracting #2: cost 99 inf + 73
90.556 * * [simplify]: Extracting #3: cost 117 inf + 343
90.557 * * [simplify]: Extracting #4: cost 204 inf + 2824
90.563 * * [simplify]: Extracting #5: cost 232 inf + 25138
90.590 * * [simplify]: Extracting #6: cost 21 inf + 81179
90.641 * * [simplify]: Extracting #7: cost 1 inf + 89168
90.681 * * [simplify]: Extracting #8: cost 0 inf + 89870
90.705 * [simplify]: Simplified to (exp (* (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)))
90.705 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (log (exp (* (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)))))))
90.705 * * * * [progress]: [ 60 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (cbrt (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))))))>
90.705 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))
90.706 * * [simplify]: iters left: 6 (25 enodes)
90.713 * * [simplify]: iters left: 5 (106 enodes)
90.746 * * [simplify]: iters left: 4 (290 enodes)
90.937 * * [simplify]: Extracting #0: cost 1 inf + 0
90.938 * * [simplify]: Extracting #1: cost 58 inf + 0
90.939 * * [simplify]: Extracting #2: cost 281 inf + 4
90.946 * * [simplify]: Extracting #3: cost 379 inf + 334
90.957 * * [simplify]: Extracting #4: cost 331 inf + 25020
90.998 * * [simplify]: Extracting #5: cost 103 inf + 101560
91.071 * * [simplify]: Extracting #6: cost 3 inf + 146764
91.129 * * [simplify]: Extracting #7: cost 0 inf + 148362
91.172 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) (* (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* -8 (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))
91.172 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (cbrt (* (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) (* (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* -8 (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))))))
91.173 * * * * [progress]: [ 61 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (cbrt (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))))))>
91.173 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))
91.174 * * [simplify]: iters left: 6 (22 enodes)
91.187 * * [simplify]: iters left: 5 (100 enodes)
91.209 * * [simplify]: iters left: 4 (294 enodes)
91.367 * * [simplify]: Extracting #0: cost 1 inf + 0
91.367 * * [simplify]: Extracting #1: cost 60 inf + 0
91.369 * * [simplify]: Extracting #2: cost 292 inf + 45
91.372 * * [simplify]: Extracting #3: cost 383 inf + 838
91.382 * * [simplify]: Extracting #4: cost 328 inf + 25335
91.413 * * [simplify]: Extracting #5: cost 115 inf + 96572
91.458 * * [simplify]: Extracting #6: cost 5 inf + 146577
91.504 * * [simplify]: Extracting #7: cost 0 inf + 149027
91.554 * [simplify]: Simplified to (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* -8 (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))
91.554 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (cbrt (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* -8 (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))))))
91.555 * * * * [progress]: [ 62 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (cbrt (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))))))>
91.555 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))
91.555 * * [simplify]: iters left: 6 (23 enodes)
91.563 * * [simplify]: iters left: 5 (106 enodes)
91.583 * * [simplify]: iters left: 4 (272 enodes)
91.723 * * [simplify]: Extracting #0: cost 1 inf + 0
91.724 * * [simplify]: Extracting #1: cost 72 inf + 0
91.724 * * [simplify]: Extracting #2: cost 254 inf + 3
91.725 * * [simplify]: Extracting #3: cost 306 inf + 170
91.731 * * [simplify]: Extracting #4: cost 274 inf + 25629
91.773 * * [simplify]: Extracting #5: cost 74 inf + 101767
91.848 * * [simplify]: Extracting #6: cost 0 inf + 131947
91.914 * * [simplify]: Extracting #7: cost 0 inf + 131374
91.968 * * [simplify]: Extracting #8: cost 0 inf + 131334
92.042 * [simplify]: Simplified to (* (* (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* -8 (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))
92.042 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (cbrt (* (* (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* -8 (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))))))
92.043 * * * * [progress]: [ 63 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (cbrt (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))))))>
92.043 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))
92.044 * * [simplify]: iters left: 6 (20 enodes)
92.057 * * [simplify]: iters left: 5 (100 enodes)
92.094 * * [simplify]: iters left: 4 (276 enodes)
92.241 * * [simplify]: Extracting #0: cost 1 inf + 0
92.242 * * [simplify]: Extracting #1: cost 77 inf + 0
92.242 * * [simplify]: Extracting #2: cost 260 inf + 44
92.244 * * [simplify]: Extracting #3: cost 306 inf + 416
92.246 * * [simplify]: Extracting #4: cost 307 inf + 11333
92.264 * * [simplify]: Extracting #5: cost 175 inf + 46659
92.296 * * [simplify]: Extracting #6: cost 78 inf + 90396
92.350 * * [simplify]: Extracting #7: cost 2 inf + 128139
92.424 * * [simplify]: Extracting #8: cost 0 inf + 129231
92.492 * [simplify]: Simplified to (* (* (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
92.492 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (cbrt (* (* (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))
92.492 * * * * [progress]: [ 64 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))))>
92.492 * [simplify]: Simplifying (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))
92.493 * * [simplify]: iters left: 6 (18 enodes)
92.497 * * [simplify]: iters left: 5 (73 enodes)
92.510 * * [simplify]: iters left: 4 (149 enodes)
92.546 * * [simplify]: iters left: 3 (438 enodes)
92.824 * * [simplify]: Extracting #0: cost 1 inf + 0
92.824 * * [simplify]: Extracting #1: cost 3 inf + 0
92.824 * * [simplify]: Extracting #2: cost 5 inf + 0
92.824 * * [simplify]: Extracting #3: cost 20 inf + 0
92.824 * * [simplify]: Extracting #4: cost 31 inf + 44
92.824 * * [simplify]: Extracting #5: cost 36 inf + 86
92.825 * * [simplify]: Extracting #6: cost 146 inf + 89
92.827 * * [simplify]: Extracting #7: cost 230 inf + 4253
92.841 * * [simplify]: Extracting #8: cost 62 inf + 39791
92.875 * * [simplify]: Extracting #9: cost 2 inf + 55330
92.909 * * [simplify]: Extracting #10: cost 0 inf + 56019
92.935 * * [simplify]: Extracting #11: cost 0 inf + 55979
92.952 * [simplify]: Simplified to (* (cbrt (* (* (* J -2) (sqrt (+ 1 (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))))) (cos (/ K 2)))) (cbrt (* (* (* J -2) (sqrt (+ 1 (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))))) (cos (/ K 2)))))
92.952 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (* J -2) (sqrt (+ 1 (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))))) (cos (/ K 2)))) (cbrt (* (* (* J -2) (sqrt (+ 1 (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))))) (cos (/ K 2))))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))))
92.953 * [simplify]: Simplifying (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))
92.953 * * [simplify]: iters left: 6 (17 enodes)
92.958 * * [simplify]: iters left: 5 (70 enodes)
92.981 * * [simplify]: iters left: 4 (146 enodes)
93.028 * * [simplify]: iters left: 3 (437 enodes)
93.283 * * [simplify]: Extracting #0: cost 1 inf + 0
93.283 * * [simplify]: Extracting #1: cost 3 inf + 0
93.283 * * [simplify]: Extracting #2: cost 18 inf + 0
93.284 * * [simplify]: Extracting #3: cost 30 inf + 2
93.284 * * [simplify]: Extracting #4: cost 34 inf + 86
93.284 * * [simplify]: Extracting #5: cost 142 inf + 89
93.288 * * [simplify]: Extracting #6: cost 236 inf + 3944
93.298 * * [simplify]: Extracting #7: cost 65 inf + 39597
93.314 * * [simplify]: Extracting #8: cost 1 inf + 54890
93.345 * * [simplify]: Extracting #9: cost 0 inf + 55110
93.383 * * [simplify]: Extracting #10: cost 0 inf + 55109
93.417 * [simplify]: Simplified to (cbrt (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) (* J -2))))
93.417 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) (* J -2))))))))
93.417 * * * * [progress]: [ 65 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (cbrt (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))))>
93.418 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))
93.418 * * [simplify]: iters left: 6 (18 enodes)
93.428 * * [simplify]: iters left: 5 (83 enodes)
93.463 * * [simplify]: iters left: 4 (271 enodes)
93.622 * * [simplify]: Extracting #0: cost 1 inf + 0
93.622 * * [simplify]: Extracting #1: cost 63 inf + 0
93.623 * * [simplify]: Extracting #2: cost 238 inf + 216
93.624 * * [simplify]: Extracting #3: cost 260 inf + 342
93.626 * * [simplify]: Extracting #4: cost 295 inf + 2167
93.632 * * [simplify]: Extracting #5: cost 269 inf + 27120
93.672 * * [simplify]: Extracting #6: cost 50 inf + 117838
93.756 * * [simplify]: Extracting #7: cost 0 inf + 138546
93.841 * * [simplify]: Extracting #8: cost 0 inf + 138304
93.927 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (cos (/ K 2)) (* J -2)) (* (* (cos (/ K 2)) (* J -2)) (sqrt (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))
93.927 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (cbrt (* (sqrt (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* (cos (/ K 2)) (* J -2)) (sqrt (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (cos (/ K 2)) (* J -2)) (* (* (cos (/ K 2)) (* J -2)) (sqrt (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))))))
93.928 * * * * [progress]: [ 66 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (sqrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (sqrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))))>
93.928 * [simplify]: Simplifying (sqrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))
93.929 * * [simplify]: iters left: 6 (17 enodes)
93.939 * * [simplify]: iters left: 5 (70 enodes)
93.963 * * [simplify]: iters left: 4 (146 enodes)
93.997 * * [simplify]: iters left: 3 (437 enodes)
94.222 * * [simplify]: Extracting #0: cost 1 inf + 0
94.222 * * [simplify]: Extracting #1: cost 3 inf + 0
94.222 * * [simplify]: Extracting #2: cost 18 inf + 0
94.222 * * [simplify]: Extracting #3: cost 30 inf + 2
94.223 * * [simplify]: Extracting #4: cost 34 inf + 86
94.223 * * [simplify]: Extracting #5: cost 142 inf + 89
94.227 * * [simplify]: Extracting #6: cost 236 inf + 3944
94.244 * * [simplify]: Extracting #7: cost 65 inf + 39517
94.277 * * [simplify]: Extracting #8: cost 1 inf + 54810
94.299 * * [simplify]: Extracting #9: cost 0 inf + 55030
94.317 * * [simplify]: Extracting #10: cost 0 inf + 55029
94.337 * [simplify]: Simplified to (sqrt (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) (* J -2))))
94.337 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (sqrt (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) (* J -2)))) (sqrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))))
94.337 * [simplify]: Simplifying (sqrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))
94.337 * * [simplify]: iters left: 6 (17 enodes)
94.345 * * [simplify]: iters left: 5 (70 enodes)
94.369 * * [simplify]: iters left: 4 (146 enodes)
94.401 * * [simplify]: iters left: 3 (437 enodes)
94.683 * * [simplify]: Extracting #0: cost 1 inf + 0
94.683 * * [simplify]: Extracting #1: cost 3 inf + 0
94.683 * * [simplify]: Extracting #2: cost 18 inf + 0
94.683 * * [simplify]: Extracting #3: cost 30 inf + 2
94.684 * * [simplify]: Extracting #4: cost 34 inf + 86
94.684 * * [simplify]: Extracting #5: cost 142 inf + 89
94.688 * * [simplify]: Extracting #6: cost 236 inf + 3944
94.704 * * [simplify]: Extracting #7: cost 65 inf + 39517
94.738 * * [simplify]: Extracting #8: cost 1 inf + 54810
94.773 * * [simplify]: Extracting #9: cost 0 inf + 55030
94.806 * * [simplify]: Extracting #10: cost 0 inf + 55029
94.845 * [simplify]: Simplified to (sqrt (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) (* J -2))))
94.845 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (sqrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (sqrt (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) (* J -2))))))))
94.845 * * * * [progress]: [ 67 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* 1 (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))))))>
94.845 * * * * [progress]: [ 68 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))))>
94.846 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))
94.846 * * [simplify]: iters left: 6 (16 enodes)
94.855 * * [simplify]: iters left: 5 (65 enodes)
94.876 * * [simplify]: iters left: 4 (126 enodes)
94.931 * * [simplify]: iters left: 3 (384 enodes)
95.156 * * [simplify]: Extracting #0: cost 1 inf + 0
95.156 * * [simplify]: Extracting #1: cost 8 inf + 0
95.156 * * [simplify]: Extracting #2: cost 14 inf + 1
95.156 * * [simplify]: Extracting #3: cost 20 inf + 1
95.156 * * [simplify]: Extracting #4: cost 126 inf + 88
95.157 * * [simplify]: Extracting #5: cost 229 inf + 3104
95.165 * * [simplify]: Extracting #6: cost 84 inf + 31445
95.197 * * [simplify]: Extracting #7: cost 0 inf + 49731
95.227 * * [simplify]: Extracting #8: cost 0 inf + 49683
95.258 * [simplify]: Simplified to (* (* (cos (/ K 2)) -2) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))
95.258 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (* (cos (/ K 2)) -2) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) J))))
95.258 * * * * [progress]: [ 69 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* -2 (* (cos (/ K 2)) J))))))>
95.258 * [simplify]: Simplifying (* -2 (* (cos (/ K 2)) J))
95.259 * * [simplify]: iters left: 6 (8 enodes)
95.263 * * [simplify]: iters left: 5 (28 enodes)
95.270 * * [simplify]: iters left: 4 (36 enodes)
95.275 * * [simplify]: iters left: 3 (42 enodes)
95.281 * * [simplify]: Extracting #0: cost 1 inf + 0
95.281 * * [simplify]: Extracting #1: cost 8 inf + 0
95.281 * * [simplify]: Extracting #2: cost 11 inf + 2
95.281 * * [simplify]: Extracting #3: cost 13 inf + 44
95.281 * * [simplify]: Extracting #4: cost 9 inf + 130
95.282 * * [simplify]: Extracting #5: cost 2 inf + 989
95.282 * * [simplify]: Extracting #6: cost 0 inf + 1316
95.282 * [simplify]: Simplified to (* (* J -2) (cos (/ K 2)))
95.282 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* J -2) (cos (/ K 2)))))))
95.282 * * * * [progress]: [ 70 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (/ (* (* (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) -2) (* (cos (/ K 2)) J)) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
95.283 * [simplify]: Simplifying (* (* (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) -2) (* (cos (/ K 2)) J))
95.283 * * [simplify]: iters left: 6 (19 enodes)
95.289 * * [simplify]: iters left: 5 (85 enodes)
95.318 * * [simplify]: iters left: 4 (216 enodes)
95.455 * * [simplify]: Extracting #0: cost 1 inf + 0
95.455 * * [simplify]: Extracting #1: cost 16 inf + 0
95.455 * * [simplify]: Extracting #2: cost 27 inf + 44
95.455 * * [simplify]: Extracting #3: cost 32 inf + 86
95.455 * * [simplify]: Extracting #4: cost 123 inf + 89
95.456 * * [simplify]: Extracting #5: cost 325 inf + 858
95.464 * * [simplify]: Extracting #6: cost 263 inf + 30578
95.495 * * [simplify]: Extracting #7: cost 82 inf + 91983
95.546 * * [simplify]: Extracting #8: cost 0 inf + 122424
95.575 * * [simplify]: Extracting #9: cost 0 inf + 122082
95.610 * [simplify]: Simplified to (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2)
95.611 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
95.611 * * * * [progress]: [ 71 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (/ (* (* (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) -2) (* (cos (/ K 2)) J)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
95.612 * [simplify]: Simplifying (* (* (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) -2) (* (cos (/ K 2)) J))
95.612 * * [simplify]: iters left: 6 (18 enodes)
95.619 * * [simplify]: iters left: 5 (77 enodes)
95.633 * * [simplify]: iters left: 4 (190 enodes)
95.721 * * [simplify]: Extracting #0: cost 1 inf + 0
95.721 * * [simplify]: Extracting #1: cost 16 inf + 0
95.722 * * [simplify]: Extracting #2: cost 28 inf + 2
95.722 * * [simplify]: Extracting #3: cost 35 inf + 86
95.722 * * [simplify]: Extracting #4: cost 122 inf + 90
95.723 * * [simplify]: Extracting #5: cost 294 inf + 1888
95.731 * * [simplify]: Extracting #6: cost 138 inf + 50267
95.750 * * [simplify]: Extracting #7: cost 3 inf + 92862
95.771 * * [simplify]: Extracting #8: cost 0 inf + 94187
95.792 * [simplify]: Simplified to (* (* -2 (* (cos (/ K 2)) J)) (sqrt (+ -1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))
95.792 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (/ (* (* -2 (* (cos (/ K 2)) J)) (sqrt (+ -1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
95.793 * * * * [progress]: [ 72 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (posit16->real (real->posit16 (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))))>
95.793 * [simplify]: Simplifying (real->posit16 (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))
95.793 * * [simplify]: iters left: 6 (17 enodes)
95.798 * * [simplify]: iters left: 5 (67 enodes)
95.811 * * [simplify]: iters left: 4 (143 enodes)
95.845 * * [simplify]: iters left: 3 (435 enodes)
96.067 * * [simplify]: Extracting #0: cost 1 inf + 0
96.068 * * [simplify]: Extracting #1: cost 2 inf + 0
96.068 * * [simplify]: Extracting #2: cost 17 inf + 0
96.068 * * [simplify]: Extracting #3: cost 29 inf + 2
96.068 * * [simplify]: Extracting #4: cost 34 inf + 44
96.069 * * [simplify]: Extracting #5: cost 139 inf + 89
96.072 * * [simplify]: Extracting #6: cost 242 inf + 2359
96.091 * * [simplify]: Extracting #7: cost 80 inf + 35518
96.115 * * [simplify]: Extracting #8: cost 1 inf + 53859
96.131 * * [simplify]: Extracting #9: cost 0 inf + 53879
96.157 * [simplify]: Simplified to (real->posit16 (* (* -2 (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (cos (/ K 2)) J)))
96.157 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (posit16->real (real->posit16 (* (* -2 (sqrt (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (cos (/ K 2)) J)))))))
96.158 * * * * [progress]: [ 73 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (cos (/ K 2)) J) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)))))>
96.158 * * * * [progress]: [ 74 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* 1 -2) (* (cos (/ K 2)) J)))))>
96.158 * [simplify]: Simplifying 1
96.158 * * [simplify]: iters left: 0 (1 enodes)
96.160 * * [simplify]: Extracting #0: cost 1 inf + 0
96.160 * * [simplify]: Extracting #1: cost 0 inf + 1
96.160 * [simplify]: Simplified to 1
96.160 * [simplify]: Simplified (2 2 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* 1 -2) (* (cos (/ K 2)) J)))))
96.160 * * * * [progress]: [ 75 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) -2) (* (cos (/ K 2)) J)))))>
96.160 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
96.160 * * [simplify]: iters left: 6 (9 enodes)
96.165 * * [simplify]: iters left: 5 (34 enodes)
96.171 * * [simplify]: iters left: 4 (56 enodes)
96.180 * * [simplify]: iters left: 3 (90 enodes)
96.195 * * [simplify]: iters left: 2 (114 enodes)
96.209 * * [simplify]: iters left: 1 (131 enodes)
96.227 * * [simplify]: Extracting #0: cost 1 inf + 0
96.227 * * [simplify]: Extracting #1: cost 22 inf + 0
96.227 * * [simplify]: Extracting #2: cost 37 inf + 3
96.227 * * [simplify]: Extracting #3: cost 31 inf + 380
96.227 * * [simplify]: Extracting #4: cost 17 inf + 1834
96.228 * * [simplify]: Extracting #5: cost 3 inf + 4117
96.229 * * [simplify]: Extracting #6: cost 0 inf + 4586
96.230 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K)))
96.230 * [simplify]: Simplified (2 2 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J)))))
96.231 * * * * [progress]: [ 76 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) -2) (* (cos (/ K 2)) J)))))>
96.231 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
96.231 * * [simplify]: iters left: 6 (9 enodes)
96.233 * * [simplify]: iters left: 5 (34 enodes)
96.238 * * [simplify]: iters left: 4 (56 enodes)
96.247 * * [simplify]: iters left: 3 (90 enodes)
96.262 * * [simplify]: iters left: 2 (114 enodes)
96.277 * * [simplify]: iters left: 1 (131 enodes)
96.294 * * [simplify]: Extracting #0: cost 1 inf + 0
96.294 * * [simplify]: Extracting #1: cost 22 inf + 0
96.294 * * [simplify]: Extracting #2: cost 37 inf + 3
96.294 * * [simplify]: Extracting #3: cost 31 inf + 380
96.295 * * [simplify]: Extracting #4: cost 17 inf + 1834
96.296 * * [simplify]: Extracting #5: cost 3 inf + 4117
96.297 * * [simplify]: Extracting #6: cost 0 inf + 4586
96.298 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K)))
96.298 * [simplify]: Simplified (2 2 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J)))))
96.298 * * * * [progress]: [ 77 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* 1 -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
96.298 * [simplify]: Simplifying 1
96.298 * * [simplify]: iters left: 0 (1 enodes)
96.299 * * [simplify]: Extracting #0: cost 1 inf + 0
96.299 * * [simplify]: Extracting #1: cost 0 inf + 1
96.299 * [simplify]: Simplified to 1
96.299 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* 1 -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
96.299 * * * * [progress]: [ 78 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
96.299 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
96.299 * * [simplify]: iters left: 6 (9 enodes)
96.302 * * [simplify]: iters left: 5 (34 enodes)
96.307 * * [simplify]: iters left: 4 (56 enodes)
96.324 * * [simplify]: iters left: 3 (90 enodes)
96.352 * * [simplify]: iters left: 2 (114 enodes)
96.383 * * [simplify]: iters left: 1 (131 enodes)
96.418 * * [simplify]: Extracting #0: cost 1 inf + 0
96.418 * * [simplify]: Extracting #1: cost 22 inf + 0
96.419 * * [simplify]: Extracting #2: cost 37 inf + 3
96.419 * * [simplify]: Extracting #3: cost 31 inf + 380
96.420 * * [simplify]: Extracting #4: cost 17 inf + 1834
96.422 * * [simplify]: Extracting #5: cost 3 inf + 4117
96.424 * * [simplify]: Extracting #6: cost 0 inf + 4586
96.426 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K)))
96.426 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
96.427 * * * * [progress]: [ 79 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
96.427 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
96.427 * * [simplify]: iters left: 6 (9 enodes)
96.432 * * [simplify]: iters left: 5 (34 enodes)
96.442 * * [simplify]: iters left: 4 (56 enodes)
96.459 * * [simplify]: iters left: 3 (90 enodes)
96.489 * * [simplify]: iters left: 2 (114 enodes)
96.515 * * [simplify]: iters left: 1 (131 enodes)
96.533 * * [simplify]: Extracting #0: cost 1 inf + 0
96.533 * * [simplify]: Extracting #1: cost 22 inf + 0
96.533 * * [simplify]: Extracting #2: cost 37 inf + 3
96.533 * * [simplify]: Extracting #3: cost 31 inf + 380
96.534 * * [simplify]: Extracting #4: cost 17 inf + 1834
96.535 * * [simplify]: Extracting #5: cost 3 inf + 4117
96.536 * * [simplify]: Extracting #6: cost 0 inf + 4586
96.537 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K)))
96.537 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
96.537 * * * * [progress]: [ 80 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* 1 -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
96.537 * [simplify]: Simplifying 1
96.537 * * [simplify]: iters left: 0 (1 enodes)
96.538 * * [simplify]: Extracting #0: cost 1 inf + 0
96.538 * * [simplify]: Extracting #1: cost 0 inf + 1
96.538 * [simplify]: Simplified to 1
96.538 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* 1 -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
96.538 * * * * [progress]: [ 81 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
96.538 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
96.538 * * [simplify]: iters left: 6 (9 enodes)
96.541 * * [simplify]: iters left: 5 (34 enodes)
96.546 * * [simplify]: iters left: 4 (56 enodes)
96.555 * * [simplify]: iters left: 3 (90 enodes)
96.573 * * [simplify]: iters left: 2 (114 enodes)
96.598 * * [simplify]: iters left: 1 (131 enodes)
96.617 * * [simplify]: Extracting #0: cost 1 inf + 0
96.617 * * [simplify]: Extracting #1: cost 22 inf + 0
96.617 * * [simplify]: Extracting #2: cost 37 inf + 3
96.617 * * [simplify]: Extracting #3: cost 31 inf + 380
96.618 * * [simplify]: Extracting #4: cost 17 inf + 1834
96.618 * * [simplify]: Extracting #5: cost 3 inf + 4117
96.620 * * [simplify]: Extracting #6: cost 0 inf + 4586
96.621 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K)))
96.621 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
96.621 * * * * [progress]: [ 82 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))>
96.621 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
96.621 * * [simplify]: iters left: 6 (9 enodes)
96.624 * * [simplify]: iters left: 5 (34 enodes)
96.635 * * [simplify]: iters left: 4 (56 enodes)
96.652 * * [simplify]: iters left: 3 (90 enodes)
96.666 * * [simplify]: iters left: 2 (114 enodes)
96.684 * * [simplify]: iters left: 1 (131 enodes)
96.716 * * [simplify]: Extracting #0: cost 1 inf + 0
96.716 * * [simplify]: Extracting #1: cost 22 inf + 0
96.716 * * [simplify]: Extracting #2: cost 37 inf + 3
96.716 * * [simplify]: Extracting #3: cost 31 inf + 380
96.717 * * [simplify]: Extracting #4: cost 17 inf + 1834
96.718 * * [simplify]: Extracting #5: cost 3 inf + 4117
96.719 * * [simplify]: Extracting #6: cost 0 inf + 4586
96.720 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K)))
96.720 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))
96.720 * * * * [progress]: [ 83 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))))))>
96.720 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J))))
96.720 * * [simplify]: iters left: 6 (10 enodes)
96.723 * * [simplify]: iters left: 5 (43 enodes)
96.731 * * [simplify]: iters left: 4 (79 enodes)
96.744 * * [simplify]: iters left: 3 (118 enodes)
96.778 * * [simplify]: iters left: 2 (171 enodes)
96.808 * * [simplify]: iters left: 1 (241 enodes)
96.883 * * [simplify]: Extracting #0: cost 1 inf + 0
96.883 * * [simplify]: Extracting #1: cost 6 inf + 0
96.883 * * [simplify]: Extracting #2: cost 41 inf + 0
96.883 * * [simplify]: Extracting #3: cost 56 inf + 213
96.884 * * [simplify]: Extracting #4: cost 20 inf + 2774
96.886 * * [simplify]: Extracting #5: cost 2 inf + 4494
96.887 * * [simplify]: Extracting #6: cost 0 inf + 4698
96.888 * [simplify]: Simplified to (- (* -2 J) (/ (* U U) (/ J 1/4)))
96.889 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (- (* -2 J) (/ (* U U) (/ J 1/4))))))
96.889 * * * * [progress]: [ 84 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* -1 U))))>
96.889 * [simplify]: Simplifying (* -1 U)
96.889 * * [simplify]: iters left: 2 (3 enodes)
96.890 * * [simplify]: iters left: 1 (11 enodes)
96.892 * * [simplify]: Extracting #0: cost 1 inf + 0
96.892 * * [simplify]: Extracting #1: cost 4 inf + 0
96.892 * * [simplify]: Extracting #2: cost 0 inf + 84
96.892 * [simplify]: Simplified to (- U)
96.892 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (- U))))
96.892 * * * * [progress]: [ 85 / 85 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (* -1 U))))>
96.892 * [simplify]: Simplifying (* -1 U)
96.892 * * [simplify]: iters left: 2 (3 enodes)
96.893 * * [simplify]: iters left: 1 (11 enodes)
96.895 * * [simplify]: Extracting #0: cost 1 inf + 0
96.895 * * [simplify]: Extracting #1: cost 4 inf + 0
96.895 * * [simplify]: Extracting #2: cost 0 inf + 84
96.895 * [simplify]: Simplified to (- U)
96.895 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) (cbrt (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))) (cbrt (- U))))
96.895 * * * [progress]: adding candidates to table
98.801 * * [progress]: iteration 3 / 4
98.801 * * * [progress]: picking best candidate
98.836 * * * * [pick]: Picked  #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
98.836 * * * [progress]: localizing error
98.934 * * * [progress]: generating rewritten candidates
98.934 * * * * [progress]: [ 1 / 4 ] rewriting at (2)
102.026 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1)
103.497 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
106.435 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1)
106.493 * * * [progress]: generating series expansions
106.493 * * * * [progress]: [ 1 / 4 ] generating series at (2)
106.496 * [backup-simplify]: Simplify (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))))
106.497 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))))) in (U K J) around 0
106.497 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))))) in J
106.497 * [taylor]: Taking taylor expansion of -2 in J
106.497 * [backup-simplify]: Simplify -2 into -2
106.497 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))) in J
106.497 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
106.497 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
106.497 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
106.497 * [taylor]: Taking taylor expansion of 1/2 in J
106.497 * [backup-simplify]: Simplify 1/2 into 1/2
106.497 * [taylor]: Taking taylor expansion of K in J
106.497 * [backup-simplify]: Simplify K into K
106.497 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
106.497 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
106.497 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
106.497 * [taylor]: Taking taylor expansion of J in J
106.497 * [backup-simplify]: Simplify 0 into 0
106.497 * [backup-simplify]: Simplify 1 into 1
106.497 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) in J
106.497 * [taylor]: Taking taylor expansion of (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) in J
106.497 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) in J
106.497 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) in J
106.497 * [taylor]: Taking taylor expansion of 1/64 in J
106.497 * [backup-simplify]: Simplify 1/64 into 1/64
106.498 * [taylor]: Taking taylor expansion of (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6))) in J
106.498 * [taylor]: Taking taylor expansion of (pow U 6) in J
106.498 * [taylor]: Taking taylor expansion of U in J
106.498 * [backup-simplify]: Simplify U into U
106.498 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 6) (pow J 6)) in J
106.498 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 6) in J
106.498 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
106.498 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
106.498 * [taylor]: Taking taylor expansion of 1/2 in J
106.498 * [backup-simplify]: Simplify 1/2 into 1/2
106.498 * [taylor]: Taking taylor expansion of K in J
106.498 * [backup-simplify]: Simplify K into K
106.498 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
106.498 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
106.498 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
106.498 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
106.498 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
106.499 * [backup-simplify]: Simplify (- 0) into 0
106.499 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
106.499 * [taylor]: Taking taylor expansion of (pow J 6) in J
106.499 * [taylor]: Taking taylor expansion of J in J
106.499 * [backup-simplify]: Simplify 0 into 0
106.499 * [backup-simplify]: Simplify 1 into 1
106.499 * [backup-simplify]: Simplify (* U U) into (pow U 2)
106.499 * [backup-simplify]: Simplify (* U (pow U 2)) into (pow U 3)
106.499 * [backup-simplify]: Simplify (* (pow U 3) (pow U 3)) into (pow U 6)
106.499 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
106.499 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 3)
106.500 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 3) (pow (cos (* 1/2 K)) 3)) into (pow (cos (* 1/2 K)) 6)
106.500 * [backup-simplify]: Simplify (* 1 1) into 1
106.500 * [backup-simplify]: Simplify (* 1 1) into 1
106.501 * [backup-simplify]: Simplify (* 1 1) into 1
106.501 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 6) 1) into (pow (cos (* 1/2 K)) 6)
106.501 * [backup-simplify]: Simplify (/ (pow U 6) (pow (cos (* 1/2 K)) 6)) into (/ (pow U 6) (pow (cos (* 1/2 K)) 6))
106.501 * [taylor]: Taking taylor expansion of 1 in J
106.501 * [backup-simplify]: Simplify 1 into 1
106.501 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in J
106.501 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in J
106.501 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in J
106.501 * [taylor]: Taking taylor expansion of 1/16 in J
106.501 * [backup-simplify]: Simplify 1/16 into 1/16
106.501 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in J
106.501 * [taylor]: Taking taylor expansion of (pow U 4) in J
106.501 * [taylor]: Taking taylor expansion of U in J
106.501 * [backup-simplify]: Simplify U into U
106.501 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in J
106.502 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in J
106.502 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
106.502 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
106.502 * [taylor]: Taking taylor expansion of 1/2 in J
106.502 * [backup-simplify]: Simplify 1/2 into 1/2
106.502 * [taylor]: Taking taylor expansion of K in J
106.502 * [backup-simplify]: Simplify K into K
106.502 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
106.502 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
106.502 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
106.502 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
106.502 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
106.502 * [backup-simplify]: Simplify (- 0) into 0
106.503 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
106.503 * [taylor]: Taking taylor expansion of (pow J 4) in J
106.503 * [taylor]: Taking taylor expansion of J in J
106.503 * [backup-simplify]: Simplify 0 into 0
106.503 * [backup-simplify]: Simplify 1 into 1
106.503 * [backup-simplify]: Simplify (* U U) into (pow U 2)
106.503 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
106.503 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
106.503 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 4)
106.504 * [backup-simplify]: Simplify (* 1 1) into 1
106.504 * [backup-simplify]: Simplify (* 1 1) into 1
106.504 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 4) 1) into (pow (cos (* 1/2 K)) 4)
106.504 * [backup-simplify]: Simplify (/ (pow U 4) (pow (cos (* 1/2 K)) 4)) into (/ (pow U 4) (pow (cos (* 1/2 K)) 4))
106.504 * [taylor]: Taking taylor expansion of 1 in J
106.504 * [backup-simplify]: Simplify 1 into 1
106.504 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
106.504 * [taylor]: Taking taylor expansion of 1/4 in J
106.504 * [backup-simplify]: Simplify 1/4 into 1/4
106.504 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
106.504 * [taylor]: Taking taylor expansion of (pow U 2) in J
106.504 * [taylor]: Taking taylor expansion of U in J
106.504 * [backup-simplify]: Simplify U into U
106.505 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
106.505 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
106.505 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
106.505 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
106.505 * [taylor]: Taking taylor expansion of 1/2 in J
106.505 * [backup-simplify]: Simplify 1/2 into 1/2
106.505 * [taylor]: Taking taylor expansion of K in J
106.505 * [backup-simplify]: Simplify K into K
106.505 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
106.505 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
106.505 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
106.505 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
106.505 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
106.505 * [backup-simplify]: Simplify (- 0) into 0
106.506 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
106.506 * [taylor]: Taking taylor expansion of (pow J 2) in J
106.506 * [taylor]: Taking taylor expansion of J in J
106.506 * [backup-simplify]: Simplify 0 into 0
106.506 * [backup-simplify]: Simplify 1 into 1
106.506 * [backup-simplify]: Simplify (* U U) into (pow U 2)
106.506 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
106.506 * [backup-simplify]: Simplify (* 1 1) into 1
106.506 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
106.507 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
106.507 * [backup-simplify]: Simplify (* 1/64 (/ (pow U 6) (pow (cos (* 1/2 K)) 6))) into (* 1/64 (/ (pow U 6) (pow (cos (* 1/2 K)) 6)))
106.507 * [backup-simplify]: Simplify (+ (* 1/64 (/ (pow U 6) (pow (cos (* 1/2 K)) 6))) 0) into (* 1/64 (/ (pow U 6) (pow (cos (* 1/2 K)) 6)))
106.507 * [backup-simplify]: Simplify (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4))) into (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))
106.507 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4))) 0) into (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))
106.507 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4))) 0) into (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))
106.507 * [backup-simplify]: Simplify (/ (* 1/64 (/ (pow U 6) (pow (cos (* 1/2 K)) 6))) (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
106.508 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
106.508 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
106.508 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (pow U 2))) into 0
106.508 * [backup-simplify]: Simplify (+ (* (pow U 3) 0) (* 0 (pow U 3))) into 0
106.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.509 * [backup-simplify]: Simplify (+ 0) into 0
106.510 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
106.510 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
106.511 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
106.511 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
106.511 * [backup-simplify]: Simplify (- 0) into 0
106.511 * [backup-simplify]: Simplify (+ 0 0) into 0
106.512 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
106.512 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (pow (cos (* 1/2 K)) 2))) into 0
106.512 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 3) 0) (* 0 (pow (cos (* 1/2 K)) 3))) into 0
106.512 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 6) 0) (* 0 1)) into 0
106.513 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 6)) (+ (* (/ (pow U 6) (pow (cos (* 1/2 K)) 6)) (/ 0 (pow (cos (* 1/2 K)) 6))))) into 0
106.513 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow U 6) (pow (cos (* 1/2 K)) 6)))) into 0
106.513 * [backup-simplify]: Simplify (+ 0 0) into 0
106.513 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
106.513 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow U 2))) into 0
106.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.514 * [backup-simplify]: Simplify (+ 0) into 0
106.515 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
106.515 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
106.516 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
106.516 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
106.516 * [backup-simplify]: Simplify (- 0) into 0
106.516 * [backup-simplify]: Simplify (+ 0 0) into 0
106.516 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
106.517 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow (cos (* 1/2 K)) 2))) into 0
106.517 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 4) 0) (* 0 1)) into 0
106.517 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 4)) (+ (* (/ (pow U 4) (pow (cos (* 1/2 K)) 4)) (/ 0 (pow (cos (* 1/2 K)) 4))))) into 0
106.518 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))) into 0
106.518 * [backup-simplify]: Simplify (+ 0 0) into 0
106.518 * [backup-simplify]: Simplify (+ 0 0) into 0
106.519 * [backup-simplify]: Simplify (- (/ 0 (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))) (+ (* (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (/ 0 (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4))))))) into 0
106.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
106.519 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))))) in K
106.519 * [taylor]: Taking taylor expansion of -2 in K
106.519 * [backup-simplify]: Simplify -2 into -2
106.519 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))) in K
106.519 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
106.519 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
106.519 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
106.519 * [taylor]: Taking taylor expansion of 1/2 in K
106.519 * [backup-simplify]: Simplify 1/2 into 1/2
106.519 * [taylor]: Taking taylor expansion of K in K
106.519 * [backup-simplify]: Simplify 0 into 0
106.519 * [backup-simplify]: Simplify 1 into 1
106.519 * [backup-simplify]: Simplify (* 1/2 0) into 0
106.520 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
106.520 * [taylor]: Taking taylor expansion of J in K
106.520 * [backup-simplify]: Simplify J into J
106.520 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) in K
106.520 * [taylor]: Taking taylor expansion of (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) in K
106.520 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) in K
106.520 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) in K
106.520 * [taylor]: Taking taylor expansion of 1/64 in K
106.520 * [backup-simplify]: Simplify 1/64 into 1/64
106.520 * [taylor]: Taking taylor expansion of (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6))) in K
106.520 * [taylor]: Taking taylor expansion of (pow U 6) in K
106.520 * [taylor]: Taking taylor expansion of U in K
106.520 * [backup-simplify]: Simplify U into U
106.520 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 6) (pow J 6)) in K
106.520 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 6) in K
106.520 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
106.520 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
106.520 * [taylor]: Taking taylor expansion of 1/2 in K
106.520 * [backup-simplify]: Simplify 1/2 into 1/2
106.520 * [taylor]: Taking taylor expansion of K in K
106.520 * [backup-simplify]: Simplify 0 into 0
106.520 * [backup-simplify]: Simplify 1 into 1
106.521 * [backup-simplify]: Simplify (* 1/2 0) into 0
106.521 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
106.521 * [taylor]: Taking taylor expansion of (pow J 6) in K
106.521 * [taylor]: Taking taylor expansion of J in K
106.521 * [backup-simplify]: Simplify J into J
106.521 * [backup-simplify]: Simplify (* U U) into (pow U 2)
106.521 * [backup-simplify]: Simplify (* U (pow U 2)) into (pow U 3)
106.521 * [backup-simplify]: Simplify (* (pow U 3) (pow U 3)) into (pow U 6)
106.521 * [backup-simplify]: Simplify (* 1 1) into 1
106.522 * [backup-simplify]: Simplify (* 1 1) into 1
106.522 * [backup-simplify]: Simplify (* 1 1) into 1
106.522 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.522 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
106.522 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
106.522 * [backup-simplify]: Simplify (* 1 (pow J 6)) into (pow J 6)
106.522 * [backup-simplify]: Simplify (/ (pow U 6) (pow J 6)) into (/ (pow U 6) (pow J 6))
106.522 * [taylor]: Taking taylor expansion of 1 in K
106.522 * [backup-simplify]: Simplify 1 into 1
106.522 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in K
106.522 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in K
106.522 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in K
106.522 * [taylor]: Taking taylor expansion of 1/16 in K
106.522 * [backup-simplify]: Simplify 1/16 into 1/16
106.522 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in K
106.522 * [taylor]: Taking taylor expansion of (pow U 4) in K
106.522 * [taylor]: Taking taylor expansion of U in K
106.522 * [backup-simplify]: Simplify U into U
106.522 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in K
106.522 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in K
106.522 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
106.522 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
106.522 * [taylor]: Taking taylor expansion of 1/2 in K
106.522 * [backup-simplify]: Simplify 1/2 into 1/2
106.522 * [taylor]: Taking taylor expansion of K in K
106.522 * [backup-simplify]: Simplify 0 into 0
106.522 * [backup-simplify]: Simplify 1 into 1
106.523 * [backup-simplify]: Simplify (* 1/2 0) into 0
106.523 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
106.523 * [taylor]: Taking taylor expansion of (pow J 4) in K
106.523 * [taylor]: Taking taylor expansion of J in K
106.523 * [backup-simplify]: Simplify J into J
106.523 * [backup-simplify]: Simplify (* U U) into (pow U 2)
106.523 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
106.524 * [backup-simplify]: Simplify (* 1 1) into 1
106.524 * [backup-simplify]: Simplify (* 1 1) into 1
106.524 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.524 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
106.524 * [backup-simplify]: Simplify (* 1 (pow J 4)) into (pow J 4)
106.524 * [backup-simplify]: Simplify (/ (pow U 4) (pow J 4)) into (/ (pow U 4) (pow J 4))
106.524 * [taylor]: Taking taylor expansion of 1 in K
106.524 * [backup-simplify]: Simplify 1 into 1
106.524 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
106.524 * [taylor]: Taking taylor expansion of 1/4 in K
106.524 * [backup-simplify]: Simplify 1/4 into 1/4
106.524 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
106.524 * [taylor]: Taking taylor expansion of (pow U 2) in K
106.524 * [taylor]: Taking taylor expansion of U in K
106.524 * [backup-simplify]: Simplify U into U
106.524 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
106.524 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
106.524 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
106.524 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
106.524 * [taylor]: Taking taylor expansion of 1/2 in K
106.524 * [backup-simplify]: Simplify 1/2 into 1/2
106.524 * [taylor]: Taking taylor expansion of K in K
106.524 * [backup-simplify]: Simplify 0 into 0
106.524 * [backup-simplify]: Simplify 1 into 1
106.525 * [backup-simplify]: Simplify (* 1/2 0) into 0
106.525 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
106.525 * [taylor]: Taking taylor expansion of (pow J 2) in K
106.525 * [taylor]: Taking taylor expansion of J in K
106.525 * [backup-simplify]: Simplify J into J
106.525 * [backup-simplify]: Simplify (* U U) into (pow U 2)
106.525 * [backup-simplify]: Simplify (* 1 1) into 1
106.526 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.526 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
106.526 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
106.526 * [backup-simplify]: Simplify (* 1/64 (/ (pow U 6) (pow J 6))) into (* 1/64 (/ (pow U 6) (pow J 6)))
106.526 * [backup-simplify]: Simplify (+ (* 1/64 (/ (pow U 6) (pow J 6))) 1) into (+ (* 1/64 (/ (pow U 6) (pow J 6))) 1)
106.526 * [backup-simplify]: Simplify (* 1/16 (/ (pow U 4) (pow J 4))) into (* 1/16 (/ (pow U 4) (pow J 4)))
106.526 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) into (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1)
106.526 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
106.526 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow U 2) (pow J 2)))) into (- (* 1/4 (/ (pow U 2) (pow J 2))))
106.527 * [backup-simplify]: Simplify (+ (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (- (* 1/4 (/ (pow U 2) (pow J 2))))) into (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2))))
106.527 * [backup-simplify]: Simplify (/ (+ (* 1/64 (/ (pow U 6) (pow J 6))) 1) (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2))))) into (/ (+ (* 1/64 (/ (pow U 6) (pow J 6))) 1) (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2)))))
106.527 * [backup-simplify]: Simplify (sqrt (/ (+ (* 1/64 (/ (pow U 6) (pow J 6))) 1) (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2)))))) into (sqrt (/ (+ (* 1/64 (/ (pow U 6) (pow J 6))) 1) (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2))))))
106.527 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
106.527 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (pow U 2))) into 0
106.527 * [backup-simplify]: Simplify (+ (* (pow U 3) 0) (* 0 (pow U 3))) into 0
106.528 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
106.528 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (pow J 2))) into 0
106.528 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (* 0 (pow J 3))) into 0
106.528 * [backup-simplify]: Simplify (+ 0) into 0
106.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 6))) into 0
106.530 * [backup-simplify]: Simplify (- (/ 0 (pow J 6)) (+ (* (/ (pow U 6) (pow J 6)) (/ 0 (pow J 6))))) into 0
106.530 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow U 6) (pow J 6)))) into 0
106.530 * [backup-simplify]: Simplify (+ 0 0) into 0
106.530 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
106.530 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow U 2))) into 0
106.530 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
106.531 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
106.531 * [backup-simplify]: Simplify (+ 0) into 0
106.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 4))) into 0
106.532 * [backup-simplify]: Simplify (- (/ 0 (pow J 4)) (+ (* (/ (pow U 4) (pow J 4)) (/ 0 (pow J 4))))) into 0
106.533 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow U 4) (pow J 4)))) into 0
106.533 * [backup-simplify]: Simplify (+ 0 0) into 0
106.533 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
106.533 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
106.533 * [backup-simplify]: Simplify (+ 0) into 0
106.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
106.534 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
106.535 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
106.535 * [backup-simplify]: Simplify (- 0) into 0
106.535 * [backup-simplify]: Simplify (+ 0 0) into 0
106.536 * [backup-simplify]: Simplify (- (/ 0 (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2))))) (+ (* (/ (+ (* 1/64 (/ (pow U 6) (pow J 6))) 1) (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2))))) (/ 0 (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2)))))))) into 0
106.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ (+ (* 1/64 (/ (pow U 6) (pow J 6))) 1) (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2)))))))) into 0
106.537 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))))) in U
106.537 * [taylor]: Taking taylor expansion of -2 in U
106.537 * [backup-simplify]: Simplify -2 into -2
106.537 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))) in U
106.537 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
106.537 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
106.537 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
106.537 * [taylor]: Taking taylor expansion of 1/2 in U
106.537 * [backup-simplify]: Simplify 1/2 into 1/2
106.537 * [taylor]: Taking taylor expansion of K in U
106.537 * [backup-simplify]: Simplify K into K
106.537 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
106.537 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
106.537 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
106.537 * [taylor]: Taking taylor expansion of J in U
106.537 * [backup-simplify]: Simplify J into J
106.537 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) in U
106.537 * [taylor]: Taking taylor expansion of (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) in U
106.537 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) in U
106.537 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) in U
106.537 * [taylor]: Taking taylor expansion of 1/64 in U
106.537 * [backup-simplify]: Simplify 1/64 into 1/64
106.537 * [taylor]: Taking taylor expansion of (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6))) in U
106.537 * [taylor]: Taking taylor expansion of (pow U 6) in U
106.537 * [taylor]: Taking taylor expansion of U in U
106.537 * [backup-simplify]: Simplify 0 into 0
106.537 * [backup-simplify]: Simplify 1 into 1
106.537 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 6) (pow J 6)) in U
106.537 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 6) in U
106.537 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
106.537 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
106.537 * [taylor]: Taking taylor expansion of 1/2 in U
106.537 * [backup-simplify]: Simplify 1/2 into 1/2
106.537 * [taylor]: Taking taylor expansion of K in U
106.537 * [backup-simplify]: Simplify K into K
106.537 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
106.537 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
106.537 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
106.537 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
106.538 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
106.538 * [backup-simplify]: Simplify (- 0) into 0
106.538 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
106.538 * [taylor]: Taking taylor expansion of (pow J 6) in U
106.538 * [taylor]: Taking taylor expansion of J in U
106.538 * [backup-simplify]: Simplify J into J
106.538 * [backup-simplify]: Simplify (* 1 1) into 1
106.538 * [backup-simplify]: Simplify (* 1 1) into 1
106.539 * [backup-simplify]: Simplify (* 1 1) into 1
106.539 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
106.539 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 3)
106.539 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 3) (pow (cos (* 1/2 K)) 3)) into (pow (cos (* 1/2 K)) 6)
106.539 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.539 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
106.539 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
106.539 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 6) (pow J 6)) into (* (pow (cos (* 1/2 K)) 6) (pow J 6))
106.539 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 6) (pow J 6))) into (/ 1 (* (pow (cos (* 1/2 K)) 6) (pow J 6)))
106.539 * [taylor]: Taking taylor expansion of 1 in U
106.539 * [backup-simplify]: Simplify 1 into 1
106.539 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in U
106.539 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in U
106.539 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in U
106.539 * [taylor]: Taking taylor expansion of 1/16 in U
106.539 * [backup-simplify]: Simplify 1/16 into 1/16
106.539 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in U
106.539 * [taylor]: Taking taylor expansion of (pow U 4) in U
106.539 * [taylor]: Taking taylor expansion of U in U
106.539 * [backup-simplify]: Simplify 0 into 0
106.539 * [backup-simplify]: Simplify 1 into 1
106.539 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in U
106.539 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in U
106.539 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
106.539 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
106.540 * [taylor]: Taking taylor expansion of 1/2 in U
106.540 * [backup-simplify]: Simplify 1/2 into 1/2
106.540 * [taylor]: Taking taylor expansion of K in U
106.540 * [backup-simplify]: Simplify K into K
106.540 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
106.540 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
106.540 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
106.540 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
106.540 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
106.540 * [backup-simplify]: Simplify (- 0) into 0
106.540 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
106.540 * [taylor]: Taking taylor expansion of (pow J 4) in U
106.540 * [taylor]: Taking taylor expansion of J in U
106.540 * [backup-simplify]: Simplify J into J
106.540 * [backup-simplify]: Simplify (* 1 1) into 1
106.541 * [backup-simplify]: Simplify (* 1 1) into 1
106.541 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
106.541 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 4)
106.541 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.541 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
106.541 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 4) (pow J 4)) into (* (pow (cos (* 1/2 K)) 4) (pow J 4))
106.541 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) into (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))
106.541 * [taylor]: Taking taylor expansion of 1 in U
106.541 * [backup-simplify]: Simplify 1 into 1
106.541 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
106.541 * [taylor]: Taking taylor expansion of 1/4 in U
106.541 * [backup-simplify]: Simplify 1/4 into 1/4
106.541 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
106.541 * [taylor]: Taking taylor expansion of (pow U 2) in U
106.541 * [taylor]: Taking taylor expansion of U in U
106.541 * [backup-simplify]: Simplify 0 into 0
106.541 * [backup-simplify]: Simplify 1 into 1
106.541 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
106.541 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
106.541 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
106.541 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
106.541 * [taylor]: Taking taylor expansion of 1/2 in U
106.541 * [backup-simplify]: Simplify 1/2 into 1/2
106.541 * [taylor]: Taking taylor expansion of K in U
106.541 * [backup-simplify]: Simplify K into K
106.541 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
106.541 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
106.541 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
106.541 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
106.542 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
106.542 * [backup-simplify]: Simplify (- 0) into 0
106.542 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
106.542 * [taylor]: Taking taylor expansion of (pow J 2) in U
106.542 * [taylor]: Taking taylor expansion of J in U
106.542 * [backup-simplify]: Simplify J into J
106.542 * [backup-simplify]: Simplify (* 1 1) into 1
106.542 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
106.542 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.542 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
106.542 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
106.543 * [backup-simplify]: Simplify (+ 0 1) into 1
106.543 * [backup-simplify]: Simplify (+ 0 1) into 1
106.543 * [backup-simplify]: Simplify (+ 1 0) into 1
106.544 * [backup-simplify]: Simplify (/ 1 1) into 1
106.544 * [backup-simplify]: Simplify (sqrt 1) into 1
106.544 * [backup-simplify]: Simplify (+ 0 0) into 0
106.544 * [backup-simplify]: Simplify (+ 0 0) into 0
106.544 * [backup-simplify]: Simplify (+ 0 0) into 0
106.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
106.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
106.545 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))))) in U
106.545 * [taylor]: Taking taylor expansion of -2 in U
106.545 * [backup-simplify]: Simplify -2 into -2
106.545 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))) in U
106.545 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
106.545 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
106.546 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
106.546 * [taylor]: Taking taylor expansion of 1/2 in U
106.546 * [backup-simplify]: Simplify 1/2 into 1/2
106.546 * [taylor]: Taking taylor expansion of K in U
106.546 * [backup-simplify]: Simplify K into K
106.546 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
106.546 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
106.546 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
106.546 * [taylor]: Taking taylor expansion of J in U
106.546 * [backup-simplify]: Simplify J into J
106.546 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) in U
106.546 * [taylor]: Taking taylor expansion of (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) in U
106.546 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) in U
106.546 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) in U
106.546 * [taylor]: Taking taylor expansion of 1/64 in U
106.546 * [backup-simplify]: Simplify 1/64 into 1/64
106.546 * [taylor]: Taking taylor expansion of (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6))) in U
106.546 * [taylor]: Taking taylor expansion of (pow U 6) in U
106.546 * [taylor]: Taking taylor expansion of U in U
106.546 * [backup-simplify]: Simplify 0 into 0
106.546 * [backup-simplify]: Simplify 1 into 1
106.546 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 6) (pow J 6)) in U
106.546 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 6) in U
106.546 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
106.546 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
106.546 * [taylor]: Taking taylor expansion of 1/2 in U
106.546 * [backup-simplify]: Simplify 1/2 into 1/2
106.546 * [taylor]: Taking taylor expansion of K in U
106.546 * [backup-simplify]: Simplify K into K
106.546 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
106.546 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
106.546 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
106.546 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
106.546 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
106.546 * [backup-simplify]: Simplify (- 0) into 0
106.547 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
106.547 * [taylor]: Taking taylor expansion of (pow J 6) in U
106.547 * [taylor]: Taking taylor expansion of J in U
106.547 * [backup-simplify]: Simplify J into J
106.547 * [backup-simplify]: Simplify (* 1 1) into 1
106.547 * [backup-simplify]: Simplify (* 1 1) into 1
106.547 * [backup-simplify]: Simplify (* 1 1) into 1
106.547 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
106.547 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 3)
106.548 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 3) (pow (cos (* 1/2 K)) 3)) into (pow (cos (* 1/2 K)) 6)
106.548 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.548 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
106.548 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
106.548 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 6) (pow J 6)) into (* (pow (cos (* 1/2 K)) 6) (pow J 6))
106.548 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 6) (pow J 6))) into (/ 1 (* (pow (cos (* 1/2 K)) 6) (pow J 6)))
106.548 * [taylor]: Taking taylor expansion of 1 in U
106.548 * [backup-simplify]: Simplify 1 into 1
106.548 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in U
106.548 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in U
106.548 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in U
106.548 * [taylor]: Taking taylor expansion of 1/16 in U
106.548 * [backup-simplify]: Simplify 1/16 into 1/16
106.548 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in U
106.548 * [taylor]: Taking taylor expansion of (pow U 4) in U
106.548 * [taylor]: Taking taylor expansion of U in U
106.548 * [backup-simplify]: Simplify 0 into 0
106.548 * [backup-simplify]: Simplify 1 into 1
106.548 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in U
106.548 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in U
106.548 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
106.548 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
106.548 * [taylor]: Taking taylor expansion of 1/2 in U
106.548 * [backup-simplify]: Simplify 1/2 into 1/2
106.548 * [taylor]: Taking taylor expansion of K in U
106.548 * [backup-simplify]: Simplify K into K
106.548 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
106.548 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
106.548 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
106.548 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
106.548 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
106.549 * [backup-simplify]: Simplify (- 0) into 0
106.549 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
106.549 * [taylor]: Taking taylor expansion of (pow J 4) in U
106.549 * [taylor]: Taking taylor expansion of J in U
106.549 * [backup-simplify]: Simplify J into J
106.549 * [backup-simplify]: Simplify (* 1 1) into 1
106.549 * [backup-simplify]: Simplify (* 1 1) into 1
106.549 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
106.549 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 4)
106.550 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.550 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
106.550 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 4) (pow J 4)) into (* (pow (cos (* 1/2 K)) 4) (pow J 4))
106.550 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) into (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))
106.550 * [taylor]: Taking taylor expansion of 1 in U
106.550 * [backup-simplify]: Simplify 1 into 1
106.550 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
106.550 * [taylor]: Taking taylor expansion of 1/4 in U
106.550 * [backup-simplify]: Simplify 1/4 into 1/4
106.550 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
106.550 * [taylor]: Taking taylor expansion of (pow U 2) in U
106.550 * [taylor]: Taking taylor expansion of U in U
106.550 * [backup-simplify]: Simplify 0 into 0
106.550 * [backup-simplify]: Simplify 1 into 1
106.550 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
106.550 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
106.550 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
106.550 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
106.550 * [taylor]: Taking taylor expansion of 1/2 in U
106.550 * [backup-simplify]: Simplify 1/2 into 1/2
106.550 * [taylor]: Taking taylor expansion of K in U
106.550 * [backup-simplify]: Simplify K into K
106.550 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
106.550 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
106.550 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
106.550 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
106.550 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
106.550 * [backup-simplify]: Simplify (- 0) into 0
106.551 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
106.551 * [taylor]: Taking taylor expansion of (pow J 2) in U
106.551 * [taylor]: Taking taylor expansion of J in U
106.551 * [backup-simplify]: Simplify J into J
106.551 * [backup-simplify]: Simplify (* 1 1) into 1
106.551 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
106.551 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.551 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
106.551 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
106.551 * [backup-simplify]: Simplify (+ 0 1) into 1
106.552 * [backup-simplify]: Simplify (+ 0 1) into 1
106.552 * [backup-simplify]: Simplify (+ 1 0) into 1
106.552 * [backup-simplify]: Simplify (/ 1 1) into 1
106.553 * [backup-simplify]: Simplify (sqrt 1) into 1
106.553 * [backup-simplify]: Simplify (+ 0 0) into 0
106.553 * [backup-simplify]: Simplify (+ 0 0) into 0
106.553 * [backup-simplify]: Simplify (+ 0 0) into 0
106.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
106.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
106.554 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
106.554 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
106.555 * [backup-simplify]: Simplify (- 0) into 0
106.555 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
106.555 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J)
106.555 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J)
106.555 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J))
106.555 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K
106.555 * [taylor]: Taking taylor expansion of -2 in K
106.555 * [backup-simplify]: Simplify -2 into -2
106.555 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
106.555 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
106.555 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
106.555 * [taylor]: Taking taylor expansion of 1/2 in K
106.555 * [backup-simplify]: Simplify 1/2 into 1/2
106.555 * [taylor]: Taking taylor expansion of K in K
106.555 * [backup-simplify]: Simplify 0 into 0
106.555 * [backup-simplify]: Simplify 1 into 1
106.555 * [backup-simplify]: Simplify (* 1/2 0) into 0
106.556 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
106.556 * [taylor]: Taking taylor expansion of J in K
106.556 * [backup-simplify]: Simplify J into J
106.556 * [backup-simplify]: Simplify (* 1 J) into J
106.556 * [backup-simplify]: Simplify (* -2 J) into (* -2 J)
106.556 * [taylor]: Taking taylor expansion of (* -2 J) in J
106.556 * [taylor]: Taking taylor expansion of -2 in J
106.556 * [backup-simplify]: Simplify -2 into -2
106.556 * [taylor]: Taking taylor expansion of J in J
106.556 * [backup-simplify]: Simplify 0 into 0
106.556 * [backup-simplify]: Simplify 1 into 1
106.556 * [backup-simplify]: Simplify (+ 0) into 0
106.557 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
106.557 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
106.557 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
106.558 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
106.558 * [backup-simplify]: Simplify (- 0) into 0
106.558 * [backup-simplify]: Simplify (+ 0 0) into 0
106.558 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0
106.558 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0
106.559 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0
106.559 * [taylor]: Taking taylor expansion of 0 in K
106.559 * [backup-simplify]: Simplify 0 into 0
106.559 * [taylor]: Taking taylor expansion of 0 in J
106.559 * [backup-simplify]: Simplify 0 into 0
106.559 * [backup-simplify]: Simplify (+ 0) into 0
106.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0
106.560 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0
106.560 * [taylor]: Taking taylor expansion of 0 in J
106.560 * [backup-simplify]: Simplify 0 into 0
106.560 * [backup-simplify]: Simplify (* -2 0) into 0
106.560 * [backup-simplify]: Simplify 0 into 0
106.560 * [backup-simplify]: Simplify (+ 0 0) into 0
106.561 * [backup-simplify]: Simplify (+ 0 0) into 0
106.561 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
106.561 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))
106.561 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))
106.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (* 0 (/ 0 1)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
106.564 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
106.564 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
106.565 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
106.565 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
106.566 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
106.566 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
106.566 * [backup-simplify]: Simplify (- 0) into 0
106.566 * [backup-simplify]: Simplify (+ 0 0) into 0
106.567 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0
106.567 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))
106.568 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))))
106.568 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K
106.568 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K
106.568 * [taylor]: Taking taylor expansion of 1/4 in K
106.568 * [backup-simplify]: Simplify 1/4 into 1/4
106.568 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K
106.568 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
106.568 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
106.568 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
106.568 * [taylor]: Taking taylor expansion of 1/2 in K
106.568 * [backup-simplify]: Simplify 1/2 into 1/2
106.568 * [taylor]: Taking taylor expansion of K in K
106.568 * [backup-simplify]: Simplify 0 into 0
106.568 * [backup-simplify]: Simplify 1 into 1
106.568 * [backup-simplify]: Simplify (* 1/2 0) into 0
106.569 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
106.569 * [taylor]: Taking taylor expansion of J in K
106.569 * [backup-simplify]: Simplify J into J
106.569 * [backup-simplify]: Simplify (* 1 J) into J
106.569 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J)
106.569 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J)
106.569 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J)))
106.569 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J
106.569 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J
106.569 * [taylor]: Taking taylor expansion of 1/4 in J
106.569 * [backup-simplify]: Simplify 1/4 into 1/4
106.569 * [taylor]: Taking taylor expansion of (/ 1 J) in J
106.569 * [taylor]: Taking taylor expansion of J in J
106.569 * [backup-simplify]: Simplify 0 into 0
106.569 * [backup-simplify]: Simplify 1 into 1
106.569 * [backup-simplify]: Simplify (/ 1 1) into 1
106.570 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
106.570 * [backup-simplify]: Simplify (- 1/4) into -1/4
106.570 * [backup-simplify]: Simplify -1/4 into -1/4
106.570 * [taylor]: Taking taylor expansion of 0 in J
106.570 * [backup-simplify]: Simplify 0 into 0
106.570 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
106.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J))
106.571 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J)
106.571 * [taylor]: Taking taylor expansion of (* 1/4 J) in J
106.571 * [taylor]: Taking taylor expansion of 1/4 in J
106.571 * [backup-simplify]: Simplify 1/4 into 1/4
106.571 * [taylor]: Taking taylor expansion of J in J
106.571 * [backup-simplify]: Simplify 0 into 0
106.571 * [backup-simplify]: Simplify 1 into 1
106.571 * [backup-simplify]: Simplify 0 into 0
106.572 * [backup-simplify]: Simplify 0 into 0
106.572 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2
106.572 * [backup-simplify]: Simplify -2 into -2
106.572 * [backup-simplify]: Simplify (+ 0 0) into 0
106.572 * [backup-simplify]: Simplify (+ 0 0) into 0
106.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.573 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
106.573 * [backup-simplify]: Simplify (+ 0) into 0
106.574 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
106.574 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
106.574 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
106.575 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
106.575 * [backup-simplify]: Simplify (- 0) into 0
106.575 * [backup-simplify]: Simplify (+ 0 0) into 0
106.575 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
106.575 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
106.576 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
106.576 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
106.576 * [backup-simplify]: Simplify (- 0) into 0
106.577 * [backup-simplify]: Simplify (+ 0 0) into 0
106.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (* (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (/ 0 1)))) into 0
106.578 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
106.579 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
106.579 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
106.580 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
106.581 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
106.582 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
106.582 * [backup-simplify]: Simplify (- 0) into 0
106.582 * [backup-simplify]: Simplify (+ 0 0) into 0
106.583 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
106.583 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0
106.584 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0
106.584 * [taylor]: Taking taylor expansion of 0 in K
106.584 * [backup-simplify]: Simplify 0 into 0
106.584 * [taylor]: Taking taylor expansion of 0 in J
106.584 * [backup-simplify]: Simplify 0 into 0
106.584 * [backup-simplify]: Simplify (+ 0) into 0
106.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0
106.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
106.590 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0
106.590 * [backup-simplify]: Simplify (- 0) into 0
106.590 * [taylor]: Taking taylor expansion of 0 in J
106.590 * [backup-simplify]: Simplify 0 into 0
106.590 * [taylor]: Taking taylor expansion of 0 in J
106.590 * [backup-simplify]: Simplify 0 into 0
106.591 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
106.591 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
106.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0
106.593 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0
106.593 * [taylor]: Taking taylor expansion of 0 in J
106.593 * [backup-simplify]: Simplify 0 into 0
106.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
106.594 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
106.594 * [backup-simplify]: Simplify (- 0) into 0
106.594 * [backup-simplify]: Simplify 0 into 0
106.594 * [backup-simplify]: Simplify 0 into 0
106.594 * [backup-simplify]: Simplify (* 1/4 0) into 0
106.594 * [backup-simplify]: Simplify 0 into 0
106.594 * [backup-simplify]: Simplify 0 into 0
106.595 * [backup-simplify]: Simplify 0 into 0
106.595 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0
106.595 * [backup-simplify]: Simplify 0 into 0
106.595 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J))))
106.598 * [backup-simplify]: Simplify (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ 1 U) (* (* (cos (/ (/ 1 K) 2)) (/ 1 J)) 2)) (/ (/ 1 U) (* (* (cos (/ (/ 1 K) 2)) (/ 1 J)) 2))) (* (/ (/ 1 U) (* (* (cos (/ (/ 1 K) 2)) (/ 1 J)) 2)) (/ (/ 1 U) (* (* (cos (/ (/ 1 K) 2)) (/ 1 J)) 2)))) (* (/ (/ 1 U) (* (* (cos (/ (/ 1 K) 2)) (/ 1 J)) 2)) (/ (/ 1 U) (* (* (cos (/ (/ 1 K) 2)) (/ 1 J)) 2)))))) (* (cos (/ (/ 1 K) 2)) (/ 1 J))) -2) (sqrt (+ (* (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))))) (- (* 1 1) (* (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1))))) into (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))))))
106.598 * [approximate]: Taking taylor expansion of (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))))) in (U K J) around 0
106.598 * [taylor]: Taking taylor expansion of (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))))) in J
106.598 * [taylor]: Taking taylor expansion of -2 in J
106.598 * [backup-simplify]: Simplify -2 into -2
106.598 * [taylor]: Taking taylor expansion of (* (/ (cos (/ 1/2 K)) J) (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))))) in J
106.598 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
106.598 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
106.598 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
106.598 * [taylor]: Taking taylor expansion of 1/2 in J
106.598 * [backup-simplify]: Simplify 1/2 into 1/2
106.598 * [taylor]: Taking taylor expansion of K in J
106.598 * [backup-simplify]: Simplify K into K
106.598 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
106.598 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
106.598 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
106.598 * [taylor]: Taking taylor expansion of J in J
106.598 * [backup-simplify]: Simplify 0 into 0
106.598 * [backup-simplify]: Simplify 1 into 1
106.598 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
106.598 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
106.598 * [backup-simplify]: Simplify (- 0) into 0
106.598 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
106.598 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
106.599 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) in J
106.599 * [taylor]: Taking taylor expansion of (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) in J
106.599 * [taylor]: Taking taylor expansion of (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) in J
106.599 * [taylor]: Taking taylor expansion of 1 in J
106.599 * [backup-simplify]: Simplify 1 into 1
106.599 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))) in J
106.599 * [taylor]: Taking taylor expansion of 1/64 in J
106.599 * [backup-simplify]: Simplify 1/64 into 1/64
106.599 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) in J
106.599 * [taylor]: Taking taylor expansion of (pow J 6) in J
106.599 * [taylor]: Taking taylor expansion of J in J
106.599 * [backup-simplify]: Simplify 0 into 0
106.599 * [backup-simplify]: Simplify 1 into 1
106.599 * [taylor]: Taking taylor expansion of (* (pow U 6) (pow (cos (/ 1/2 K)) 6)) in J
106.599 * [taylor]: Taking taylor expansion of (pow U 6) in J
106.599 * [taylor]: Taking taylor expansion of U in J
106.599 * [backup-simplify]: Simplify U into U
106.599 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 6) in J
106.599 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
106.599 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
106.599 * [taylor]: Taking taylor expansion of 1/2 in J
106.599 * [backup-simplify]: Simplify 1/2 into 1/2
106.599 * [taylor]: Taking taylor expansion of K in J
106.599 * [backup-simplify]: Simplify K into K
106.599 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
106.599 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
106.599 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
106.599 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
106.599 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
106.599 * [backup-simplify]: Simplify (- 0) into 0
106.599 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
106.600 * [backup-simplify]: Simplify (* 1 1) into 1
106.600 * [backup-simplify]: Simplify (* 1 1) into 1
106.600 * [backup-simplify]: Simplify (* 1 1) into 1
106.600 * [backup-simplify]: Simplify (* U U) into (pow U 2)
106.600 * [backup-simplify]: Simplify (* U (pow U 2)) into (pow U 3)
106.600 * [backup-simplify]: Simplify (* (pow U 3) (pow U 3)) into (pow U 6)
106.601 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
106.601 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 3)
106.601 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 3) (pow (cos (/ 1/2 K)) 3)) into (pow (cos (/ 1/2 K)) 6)
106.601 * [backup-simplify]: Simplify (* (pow U 6) (pow (cos (/ 1/2 K)) 6)) into (* (pow U 6) (pow (cos (/ 1/2 K)) 6))
106.601 * [backup-simplify]: Simplify (/ 1 (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) into (/ 1 (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))
106.601 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in J
106.601 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in J
106.601 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in J
106.601 * [taylor]: Taking taylor expansion of 1/16 in J
106.601 * [backup-simplify]: Simplify 1/16 into 1/16
106.601 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in J
106.601 * [taylor]: Taking taylor expansion of (pow J 4) in J
106.601 * [taylor]: Taking taylor expansion of J in J
106.601 * [backup-simplify]: Simplify 0 into 0
106.601 * [backup-simplify]: Simplify 1 into 1
106.601 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in J
106.601 * [taylor]: Taking taylor expansion of (pow U 4) in J
106.601 * [taylor]: Taking taylor expansion of U in J
106.601 * [backup-simplify]: Simplify U into U
106.601 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in J
106.601 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
106.601 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
106.601 * [taylor]: Taking taylor expansion of 1/2 in J
106.601 * [backup-simplify]: Simplify 1/2 into 1/2
106.601 * [taylor]: Taking taylor expansion of K in J
106.601 * [backup-simplify]: Simplify K into K
106.601 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
106.601 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
106.601 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
106.601 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
106.601 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
106.602 * [backup-simplify]: Simplify (- 0) into 0
106.602 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
106.602 * [backup-simplify]: Simplify (* 1 1) into 1
106.602 * [backup-simplify]: Simplify (* 1 1) into 1
106.602 * [backup-simplify]: Simplify (* U U) into (pow U 2)
106.602 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
106.602 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
106.603 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
106.603 * [backup-simplify]: Simplify (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) into (* (pow U 4) (pow (cos (/ 1/2 K)) 4))
106.603 * [backup-simplify]: Simplify (/ 1 (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) into (/ 1 (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))
106.603 * [taylor]: Taking taylor expansion of 1 in J
106.603 * [backup-simplify]: Simplify 1 into 1
106.603 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
106.603 * [taylor]: Taking taylor expansion of 1/4 in J
106.603 * [backup-simplify]: Simplify 1/4 into 1/4
106.603 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
106.603 * [taylor]: Taking taylor expansion of (pow J 2) in J
106.603 * [taylor]: Taking taylor expansion of J in J
106.603 * [backup-simplify]: Simplify 0 into 0
106.603 * [backup-simplify]: Simplify 1 into 1
106.603 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
106.603 * [taylor]: Taking taylor expansion of (pow U 2) in J
106.603 * [taylor]: Taking taylor expansion of U in J
106.603 * [backup-simplify]: Simplify U into U
106.603 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
106.603 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
106.603 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
106.603 * [taylor]: Taking taylor expansion of 1/2 in J
106.603 * [backup-simplify]: Simplify 1/2 into 1/2
106.603 * [taylor]: Taking taylor expansion of K in J
106.603 * [backup-simplify]: Simplify K into K
106.603 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
106.603 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
106.603 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
106.603 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
106.603 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
106.604 * [backup-simplify]: Simplify (- 0) into 0
106.604 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
106.604 * [backup-simplify]: Simplify (* 1 1) into 1
106.604 * [backup-simplify]: Simplify (* U U) into (pow U 2)
106.604 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
106.604 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
106.604 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
106.605 * [backup-simplify]: Simplify (+ 1 0) into 1
106.605 * [backup-simplify]: Simplify (+ 0 1) into 1
106.605 * [backup-simplify]: Simplify (+ 1 0) into 1
106.606 * [backup-simplify]: Simplify (/ 1 1) into 1
106.606 * [backup-simplify]: Simplify (sqrt 1) into 1
106.606 * [backup-simplify]: Simplify (+ 0 0) into 0
106.606 * [backup-simplify]: Simplify (+ 0 0) into 0
106.607 * [backup-simplify]: Simplify (+ 0 0) into 0
106.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
106.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
106.607 * [taylor]: Taking taylor expansion of (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))))) in K
106.607 * [taylor]: Taking taylor expansion of -2 in K
106.607 * [backup-simplify]: Simplify -2 into -2
106.608 * [taylor]: Taking taylor expansion of (* (/ (cos (/ 1/2 K)) J) (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))))) in K
106.608 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
106.608 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
106.608 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
106.608 * [taylor]: Taking taylor expansion of 1/2 in K
106.608 * [backup-simplify]: Simplify 1/2 into 1/2
106.608 * [taylor]: Taking taylor expansion of K in K
106.608 * [backup-simplify]: Simplify 0 into 0
106.608 * [backup-simplify]: Simplify 1 into 1
106.608 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
106.608 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
106.608 * [taylor]: Taking taylor expansion of J in K
106.608 * [backup-simplify]: Simplify J into J
106.608 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
106.608 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) in K
106.608 * [taylor]: Taking taylor expansion of (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) in K
106.608 * [taylor]: Taking taylor expansion of (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) in K
106.608 * [taylor]: Taking taylor expansion of 1 in K
106.608 * [backup-simplify]: Simplify 1 into 1
106.608 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))) in K
106.608 * [taylor]: Taking taylor expansion of 1/64 in K
106.608 * [backup-simplify]: Simplify 1/64 into 1/64
106.608 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) in K
106.608 * [taylor]: Taking taylor expansion of (pow J 6) in K
106.608 * [taylor]: Taking taylor expansion of J in K
106.608 * [backup-simplify]: Simplify J into J
106.608 * [taylor]: Taking taylor expansion of (* (pow U 6) (pow (cos (/ 1/2 K)) 6)) in K
106.608 * [taylor]: Taking taylor expansion of (pow U 6) in K
106.608 * [taylor]: Taking taylor expansion of U in K
106.608 * [backup-simplify]: Simplify U into U
106.608 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 6) in K
106.608 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
106.608 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
106.608 * [taylor]: Taking taylor expansion of 1/2 in K
106.608 * [backup-simplify]: Simplify 1/2 into 1/2
106.608 * [taylor]: Taking taylor expansion of K in K
106.608 * [backup-simplify]: Simplify 0 into 0
106.608 * [backup-simplify]: Simplify 1 into 1
106.609 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
106.609 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
106.609 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.609 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
106.609 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
106.609 * [backup-simplify]: Simplify (* U U) into (pow U 2)
106.609 * [backup-simplify]: Simplify (* U (pow U 2)) into (pow U 3)
106.609 * [backup-simplify]: Simplify (* (pow U 3) (pow U 3)) into (pow U 6)
106.609 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
106.609 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 3)
106.609 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 3) (pow (cos (/ 1/2 K)) 3)) into (pow (cos (/ 1/2 K)) 6)
106.609 * [backup-simplify]: Simplify (* (pow U 6) (pow (cos (/ 1/2 K)) 6)) into (* (pow U 6) (pow (cos (/ 1/2 K)) 6))
106.610 * [backup-simplify]: Simplify (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) into (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))
106.610 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in K
106.610 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in K
106.610 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in K
106.610 * [taylor]: Taking taylor expansion of 1/16 in K
106.610 * [backup-simplify]: Simplify 1/16 into 1/16
106.610 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in K
106.610 * [taylor]: Taking taylor expansion of (pow J 4) in K
106.610 * [taylor]: Taking taylor expansion of J in K
106.610 * [backup-simplify]: Simplify J into J
106.610 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in K
106.610 * [taylor]: Taking taylor expansion of (pow U 4) in K
106.610 * [taylor]: Taking taylor expansion of U in K
106.610 * [backup-simplify]: Simplify U into U
106.610 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in K
106.610 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
106.610 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
106.610 * [taylor]: Taking taylor expansion of 1/2 in K
106.610 * [backup-simplify]: Simplify 1/2 into 1/2
106.610 * [taylor]: Taking taylor expansion of K in K
106.610 * [backup-simplify]: Simplify 0 into 0
106.610 * [backup-simplify]: Simplify 1 into 1
106.610 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
106.610 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
106.610 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.610 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
106.610 * [backup-simplify]: Simplify (* U U) into (pow U 2)
106.610 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
106.611 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
106.611 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
106.611 * [backup-simplify]: Simplify (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) into (* (pow U 4) (pow (cos (/ 1/2 K)) 4))
106.611 * [backup-simplify]: Simplify (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) into (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))
106.611 * [taylor]: Taking taylor expansion of 1 in K
106.611 * [backup-simplify]: Simplify 1 into 1
106.611 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
106.611 * [taylor]: Taking taylor expansion of 1/4 in K
106.611 * [backup-simplify]: Simplify 1/4 into 1/4
106.611 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
106.611 * [taylor]: Taking taylor expansion of (pow J 2) in K
106.611 * [taylor]: Taking taylor expansion of J in K
106.611 * [backup-simplify]: Simplify J into J
106.611 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
106.611 * [taylor]: Taking taylor expansion of (pow U 2) in K
106.611 * [taylor]: Taking taylor expansion of U in K
106.611 * [backup-simplify]: Simplify U into U
106.611 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
106.611 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
106.611 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
106.611 * [taylor]: Taking taylor expansion of 1/2 in K
106.611 * [backup-simplify]: Simplify 1/2 into 1/2
106.611 * [taylor]: Taking taylor expansion of K in K
106.611 * [backup-simplify]: Simplify 0 into 0
106.611 * [backup-simplify]: Simplify 1 into 1
106.612 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
106.612 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
106.612 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.612 * [backup-simplify]: Simplify (* U U) into (pow U 2)
106.612 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
106.612 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
106.612 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
106.612 * [backup-simplify]: Simplify (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))) into (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))
106.612 * [backup-simplify]: Simplify (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) into (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))))
106.612 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) into (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))))
106.613 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) into (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1)
106.613 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
106.613 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (- (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))
106.614 * [backup-simplify]: Simplify (+ (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (- (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))
106.614 * [backup-simplify]: Simplify (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))
106.615 * [backup-simplify]: Simplify (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) into (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))))
106.615 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
106.615 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (pow J 2))) into 0
106.615 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (* 0 (pow J 3))) into 0
106.615 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
106.615 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
106.616 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 3) 0) (* 0 (pow (cos (/ 1/2 K)) 3))) into 0
106.616 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
106.616 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (pow U 2))) into 0
106.616 * [backup-simplify]: Simplify (+ (* (pow U 3) 0) (* 0 (pow U 3))) into 0
106.616 * [backup-simplify]: Simplify (+ (* (pow U 6) 0) (* 0 (pow (cos (/ 1/2 K)) 6))) into 0
106.616 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) (+ (* (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) (/ 0 (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))))) into 0
106.617 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) into 0
106.617 * [backup-simplify]: Simplify (+ 0 0) into 0
106.617 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
106.617 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
106.617 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
106.617 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
106.617 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
106.617 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow U 2))) into 0
106.618 * [backup-simplify]: Simplify (+ (* (pow U 4) 0) (* 0 (pow (cos (/ 1/2 K)) 4))) into 0
106.618 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) (+ (* (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) (/ 0 (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))))) into 0
106.618 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))))) into 0
106.619 * [backup-simplify]: Simplify (+ 0 0) into 0
106.619 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
106.619 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
106.619 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
106.619 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
106.620 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
106.620 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
106.621 * [backup-simplify]: Simplify (- 0) into 0
106.621 * [backup-simplify]: Simplify (+ 0 0) into 0
106.624 * [backup-simplify]: Simplify (- (/ 0 (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) (+ (* (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) (/ 0 (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))))) into 0
106.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))))) into 0
106.625 * [taylor]: Taking taylor expansion of (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))))) in U
106.625 * [taylor]: Taking taylor expansion of -2 in U
106.625 * [backup-simplify]: Simplify -2 into -2
106.625 * [taylor]: Taking taylor expansion of (* (/ (cos (/ 1/2 K)) J) (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))))) in U
106.625 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
106.625 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
106.625 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
106.626 * [taylor]: Taking taylor expansion of 1/2 in U
106.626 * [backup-simplify]: Simplify 1/2 into 1/2
106.626 * [taylor]: Taking taylor expansion of K in U
106.626 * [backup-simplify]: Simplify K into K
106.626 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
106.626 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
106.626 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
106.626 * [taylor]: Taking taylor expansion of J in U
106.626 * [backup-simplify]: Simplify J into J
106.626 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
106.626 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
106.627 * [backup-simplify]: Simplify (- 0) into 0
106.627 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
106.627 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
106.627 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) in U
106.627 * [taylor]: Taking taylor expansion of (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) in U
106.627 * [taylor]: Taking taylor expansion of (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) in U
106.627 * [taylor]: Taking taylor expansion of 1 in U
106.627 * [backup-simplify]: Simplify 1 into 1
106.627 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))) in U
106.627 * [taylor]: Taking taylor expansion of 1/64 in U
106.627 * [backup-simplify]: Simplify 1/64 into 1/64
106.627 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) in U
106.627 * [taylor]: Taking taylor expansion of (pow J 6) in U
106.627 * [taylor]: Taking taylor expansion of J in U
106.627 * [backup-simplify]: Simplify J into J
106.627 * [taylor]: Taking taylor expansion of (* (pow U 6) (pow (cos (/ 1/2 K)) 6)) in U
106.627 * [taylor]: Taking taylor expansion of (pow U 6) in U
106.627 * [taylor]: Taking taylor expansion of U in U
106.627 * [backup-simplify]: Simplify 0 into 0
106.627 * [backup-simplify]: Simplify 1 into 1
106.627 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 6) in U
106.627 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
106.627 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
106.627 * [taylor]: Taking taylor expansion of 1/2 in U
106.627 * [backup-simplify]: Simplify 1/2 into 1/2
106.627 * [taylor]: Taking taylor expansion of K in U
106.627 * [backup-simplify]: Simplify K into K
106.627 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
106.628 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
106.628 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
106.628 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
106.628 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
106.628 * [backup-simplify]: Simplify (- 0) into 0
106.628 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
106.628 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.628 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
106.629 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
106.629 * [backup-simplify]: Simplify (* 1 1) into 1
106.629 * [backup-simplify]: Simplify (* 1 1) into 1
106.630 * [backup-simplify]: Simplify (* 1 1) into 1
106.630 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
106.630 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 3)
106.630 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 3) (pow (cos (/ 1/2 K)) 3)) into (pow (cos (/ 1/2 K)) 6)
106.630 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 6)) into (pow (cos (/ 1/2 K)) 6)
106.630 * [backup-simplify]: Simplify (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)) into (/ (pow J 6) (pow (cos (/ 1/2 K)) 6))
106.631 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in U
106.631 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in U
106.631 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in U
106.631 * [taylor]: Taking taylor expansion of 1/16 in U
106.631 * [backup-simplify]: Simplify 1/16 into 1/16
106.631 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in U
106.631 * [taylor]: Taking taylor expansion of (pow J 4) in U
106.631 * [taylor]: Taking taylor expansion of J in U
106.631 * [backup-simplify]: Simplify J into J
106.631 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in U
106.631 * [taylor]: Taking taylor expansion of (pow U 4) in U
106.631 * [taylor]: Taking taylor expansion of U in U
106.631 * [backup-simplify]: Simplify 0 into 0
106.631 * [backup-simplify]: Simplify 1 into 1
106.631 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in U
106.631 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
106.631 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
106.631 * [taylor]: Taking taylor expansion of 1/2 in U
106.631 * [backup-simplify]: Simplify 1/2 into 1/2
106.631 * [taylor]: Taking taylor expansion of K in U
106.631 * [backup-simplify]: Simplify K into K
106.631 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
106.632 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
106.632 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
106.632 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
106.632 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
106.632 * [backup-simplify]: Simplify (- 0) into 0
106.632 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
106.632 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.632 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
106.633 * [backup-simplify]: Simplify (* 1 1) into 1
106.633 * [backup-simplify]: Simplify (* 1 1) into 1
106.633 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
106.634 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
106.634 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 4)) into (pow (cos (/ 1/2 K)) 4)
106.634 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))
106.634 * [taylor]: Taking taylor expansion of 1 in U
106.634 * [backup-simplify]: Simplify 1 into 1
106.634 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
106.634 * [taylor]: Taking taylor expansion of 1/4 in U
106.634 * [backup-simplify]: Simplify 1/4 into 1/4
106.634 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
106.634 * [taylor]: Taking taylor expansion of (pow J 2) in U
106.634 * [taylor]: Taking taylor expansion of J in U
106.634 * [backup-simplify]: Simplify J into J
106.634 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
106.634 * [taylor]: Taking taylor expansion of (pow U 2) in U
106.634 * [taylor]: Taking taylor expansion of U in U
106.634 * [backup-simplify]: Simplify 0 into 0
106.634 * [backup-simplify]: Simplify 1 into 1
106.634 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
106.634 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
106.634 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
106.634 * [taylor]: Taking taylor expansion of 1/2 in U
106.634 * [backup-simplify]: Simplify 1/2 into 1/2
106.634 * [taylor]: Taking taylor expansion of K in U
106.634 * [backup-simplify]: Simplify K into K
106.634 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
106.635 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
106.635 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
106.635 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
106.635 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
106.635 * [backup-simplify]: Simplify (- 0) into 0
106.635 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
106.635 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.636 * [backup-simplify]: Simplify (* 1 1) into 1
106.636 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
106.636 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
106.636 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
106.636 * [backup-simplify]: Simplify (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6))) into (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))
106.637 * [backup-simplify]: Simplify (+ 0 (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))) into (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))
106.637 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
106.637 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
106.637 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
106.638 * [backup-simplify]: Simplify (/ (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6))) (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
106.638 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
106.638 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
106.638 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (pow J 2))) into 0
106.638 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (* 0 (pow J 3))) into 0
106.639 * [backup-simplify]: Simplify (+ 0) into 0
106.639 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
106.639 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
106.640 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
106.641 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
106.641 * [backup-simplify]: Simplify (- 0) into 0
106.641 * [backup-simplify]: Simplify (+ 0 0) into 0
106.641 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
106.642 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
106.642 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 3) 0) (* 0 (pow (cos (/ 1/2 K)) 3))) into 0
106.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 6))) into 0
106.645 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)) (/ 0 (pow (cos (/ 1/2 K)) 6))))) into 0
106.645 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))) into 0
106.646 * [backup-simplify]: Simplify (+ 0 0) into 0
106.646 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
106.646 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
106.646 * [backup-simplify]: Simplify (+ 0) into 0
106.647 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
106.647 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
106.648 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
106.649 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
106.649 * [backup-simplify]: Simplify (- 0) into 0
106.649 * [backup-simplify]: Simplify (+ 0 0) into 0
106.649 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
106.650 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
106.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 4))) into 0
106.652 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
106.653 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) into 0
106.653 * [backup-simplify]: Simplify (+ 0 0) into 0
106.653 * [backup-simplify]: Simplify (+ 0 0) into 0
106.654 * [backup-simplify]: Simplify (- (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (+ (* (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))))) into 0
106.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
106.654 * [taylor]: Taking taylor expansion of (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))))) in U
106.654 * [taylor]: Taking taylor expansion of -2 in U
106.654 * [backup-simplify]: Simplify -2 into -2
106.654 * [taylor]: Taking taylor expansion of (* (/ (cos (/ 1/2 K)) J) (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))))) in U
106.654 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
106.654 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
106.654 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
106.654 * [taylor]: Taking taylor expansion of 1/2 in U
106.654 * [backup-simplify]: Simplify 1/2 into 1/2
106.655 * [taylor]: Taking taylor expansion of K in U
106.655 * [backup-simplify]: Simplify K into K
106.655 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
106.655 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
106.655 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
106.655 * [taylor]: Taking taylor expansion of J in U
106.655 * [backup-simplify]: Simplify J into J
106.655 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
106.655 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
106.655 * [backup-simplify]: Simplify (- 0) into 0
106.655 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
106.656 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
106.656 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) in U
106.656 * [taylor]: Taking taylor expansion of (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) in U
106.656 * [taylor]: Taking taylor expansion of (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) in U
106.656 * [taylor]: Taking taylor expansion of 1 in U
106.656 * [backup-simplify]: Simplify 1 into 1
106.656 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))) in U
106.656 * [taylor]: Taking taylor expansion of 1/64 in U
106.656 * [backup-simplify]: Simplify 1/64 into 1/64
106.656 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) in U
106.656 * [taylor]: Taking taylor expansion of (pow J 6) in U
106.656 * [taylor]: Taking taylor expansion of J in U
106.656 * [backup-simplify]: Simplify J into J
106.656 * [taylor]: Taking taylor expansion of (* (pow U 6) (pow (cos (/ 1/2 K)) 6)) in U
106.656 * [taylor]: Taking taylor expansion of (pow U 6) in U
106.656 * [taylor]: Taking taylor expansion of U in U
106.656 * [backup-simplify]: Simplify 0 into 0
106.656 * [backup-simplify]: Simplify 1 into 1
106.656 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 6) in U
106.656 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
106.656 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
106.656 * [taylor]: Taking taylor expansion of 1/2 in U
106.656 * [backup-simplify]: Simplify 1/2 into 1/2
106.656 * [taylor]: Taking taylor expansion of K in U
106.656 * [backup-simplify]: Simplify K into K
106.656 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
106.656 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
106.656 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
106.657 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
106.657 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
106.657 * [backup-simplify]: Simplify (- 0) into 0
106.657 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
106.657 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.657 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
106.657 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
106.658 * [backup-simplify]: Simplify (* 1 1) into 1
106.658 * [backup-simplify]: Simplify (* 1 1) into 1
106.658 * [backup-simplify]: Simplify (* 1 1) into 1
106.659 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
106.659 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 3)
106.659 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 3) (pow (cos (/ 1/2 K)) 3)) into (pow (cos (/ 1/2 K)) 6)
106.659 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 6)) into (pow (cos (/ 1/2 K)) 6)
106.659 * [backup-simplify]: Simplify (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)) into (/ (pow J 6) (pow (cos (/ 1/2 K)) 6))
106.659 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in U
106.659 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in U
106.659 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in U
106.659 * [taylor]: Taking taylor expansion of 1/16 in U
106.659 * [backup-simplify]: Simplify 1/16 into 1/16
106.659 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in U
106.659 * [taylor]: Taking taylor expansion of (pow J 4) in U
106.659 * [taylor]: Taking taylor expansion of J in U
106.659 * [backup-simplify]: Simplify J into J
106.659 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in U
106.659 * [taylor]: Taking taylor expansion of (pow U 4) in U
106.659 * [taylor]: Taking taylor expansion of U in U
106.659 * [backup-simplify]: Simplify 0 into 0
106.659 * [backup-simplify]: Simplify 1 into 1
106.659 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in U
106.659 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
106.659 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
106.659 * [taylor]: Taking taylor expansion of 1/2 in U
106.659 * [backup-simplify]: Simplify 1/2 into 1/2
106.659 * [taylor]: Taking taylor expansion of K in U
106.659 * [backup-simplify]: Simplify K into K
106.659 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
106.659 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
106.659 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
106.659 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
106.660 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
106.660 * [backup-simplify]: Simplify (- 0) into 0
106.660 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
106.660 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.660 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
106.660 * [backup-simplify]: Simplify (* 1 1) into 1
106.660 * [backup-simplify]: Simplify (* 1 1) into 1
106.661 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
106.661 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
106.661 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 4)) into (pow (cos (/ 1/2 K)) 4)
106.661 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))
106.661 * [taylor]: Taking taylor expansion of 1 in U
106.661 * [backup-simplify]: Simplify 1 into 1
106.661 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
106.661 * [taylor]: Taking taylor expansion of 1/4 in U
106.661 * [backup-simplify]: Simplify 1/4 into 1/4
106.661 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
106.661 * [taylor]: Taking taylor expansion of (pow J 2) in U
106.661 * [taylor]: Taking taylor expansion of J in U
106.661 * [backup-simplify]: Simplify J into J
106.661 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
106.661 * [taylor]: Taking taylor expansion of (pow U 2) in U
106.661 * [taylor]: Taking taylor expansion of U in U
106.661 * [backup-simplify]: Simplify 0 into 0
106.661 * [backup-simplify]: Simplify 1 into 1
106.661 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
106.661 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
106.661 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
106.661 * [taylor]: Taking taylor expansion of 1/2 in U
106.661 * [backup-simplify]: Simplify 1/2 into 1/2
106.661 * [taylor]: Taking taylor expansion of K in U
106.661 * [backup-simplify]: Simplify K into K
106.661 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
106.661 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
106.661 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
106.661 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
106.661 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
106.662 * [backup-simplify]: Simplify (- 0) into 0
106.662 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
106.662 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.662 * [backup-simplify]: Simplify (* 1 1) into 1
106.662 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
106.662 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
106.662 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
106.662 * [backup-simplify]: Simplify (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6))) into (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))
106.662 * [backup-simplify]: Simplify (+ 0 (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))) into (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))
106.663 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
106.663 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
106.663 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
106.663 * [backup-simplify]: Simplify (/ (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6))) (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
106.663 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
106.663 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
106.663 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (pow J 2))) into 0
106.663 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (* 0 (pow J 3))) into 0
106.664 * [backup-simplify]: Simplify (+ 0) into 0
106.664 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
106.664 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
106.665 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
106.665 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
106.665 * [backup-simplify]: Simplify (- 0) into 0
106.665 * [backup-simplify]: Simplify (+ 0 0) into 0
106.665 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
106.666 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
106.666 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 3) 0) (* 0 (pow (cos (/ 1/2 K)) 3))) into 0
106.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 6))) into 0
106.668 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)) (/ 0 (pow (cos (/ 1/2 K)) 6))))) into 0
106.668 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))) into 0
106.668 * [backup-simplify]: Simplify (+ 0 0) into 0
106.669 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
106.669 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
106.669 * [backup-simplify]: Simplify (+ 0) into 0
106.669 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
106.669 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
106.670 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
106.670 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
106.670 * [backup-simplify]: Simplify (- 0) into 0
106.670 * [backup-simplify]: Simplify (+ 0 0) into 0
106.671 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
106.671 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
106.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 4))) into 0
106.672 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
106.672 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) into 0
106.673 * [backup-simplify]: Simplify (+ 0 0) into 0
106.673 * [backup-simplify]: Simplify (+ 0 0) into 0
106.673 * [backup-simplify]: Simplify (- (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (+ (* (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))))) into 0
106.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
106.674 * [backup-simplify]: Simplify (* (/ (cos (/ 1/2 K)) J) (* 1/2 (/ J (cos (/ 1/2 K))))) into 1/2
106.674 * [backup-simplify]: Simplify (* -2 1/2) into -1
106.674 * [taylor]: Taking taylor expansion of -1 in K
106.674 * [backup-simplify]: Simplify -1 into -1
106.674 * [taylor]: Taking taylor expansion of -1 in J
106.674 * [backup-simplify]: Simplify -1 into -1
106.674 * [backup-simplify]: Simplify (+ 0) into 0
106.674 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
106.675 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
106.675 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
106.675 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
106.676 * [backup-simplify]: Simplify (- 0) into 0
106.676 * [backup-simplify]: Simplify (+ 0 0) into 0
106.676 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0
106.676 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
106.676 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0
106.677 * [taylor]: Taking taylor expansion of 0 in K
106.677 * [backup-simplify]: Simplify 0 into 0
106.677 * [taylor]: Taking taylor expansion of 0 in J
106.677 * [backup-simplify]: Simplify 0 into 0
106.677 * [taylor]: Taking taylor expansion of 0 in J
106.677 * [backup-simplify]: Simplify 0 into 0
106.677 * [backup-simplify]: Simplify -1 into -1
106.677 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
106.677 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
106.678 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (+ (* 0 0) (* 0 (pow J 3)))) into 0
106.678 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
106.679 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
106.679 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
106.679 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
106.679 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
106.680 * [backup-simplify]: Simplify (- 0) into 0
106.680 * [backup-simplify]: Simplify (+ 0 0) into 0
106.680 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
106.681 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
106.681 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 3) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 3)))) into 0
106.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
106.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
106.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
106.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 6)))) into 0
106.683 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)) (/ 0 (pow (cos (/ 1/2 K)) 6))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 6))))) into 0
106.684 * [backup-simplify]: Simplify (+ (* 1/64 0) (+ (* 0 0) (* 0 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6))))) into 0
106.684 * [backup-simplify]: Simplify (+ 0 0) into 0
106.685 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
106.685 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
106.685 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
106.686 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
106.686 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
106.686 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
106.687 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
106.687 * [backup-simplify]: Simplify (- 0) into 0
106.688 * [backup-simplify]: Simplify (+ 0 0) into 0
106.688 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
106.689 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
106.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
106.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
106.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 4)))) into 0
106.692 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
106.693 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))) into 0
106.694 * [backup-simplify]: Simplify (+ 0 0) into 0
106.694 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
106.694 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))
106.695 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))
106.696 * [backup-simplify]: Simplify (- (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (+ (* (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) (/ (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))) (* 0 (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))))) into 1
106.697 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
106.698 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
106.698 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
106.698 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
106.699 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
106.700 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
106.700 * [backup-simplify]: Simplify (- 0) into 0
106.700 * [backup-simplify]: Simplify (+ 0 0) into 0
106.701 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
106.701 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1/2 K)) J) (/ (cos (/ 1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))
106.702 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))))
106.702 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K
106.702 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K
106.702 * [taylor]: Taking taylor expansion of 2 in K
106.702 * [backup-simplify]: Simplify 2 into 2
106.702 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K
106.702 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
106.703 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
106.703 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
106.703 * [taylor]: Taking taylor expansion of 1/2 in K
106.703 * [backup-simplify]: Simplify 1/2 into 1/2
106.703 * [taylor]: Taking taylor expansion of K in K
106.703 * [backup-simplify]: Simplify 0 into 0
106.703 * [backup-simplify]: Simplify 1 into 1
106.703 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
106.703 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
106.703 * [taylor]: Taking taylor expansion of (pow J 2) in K
106.703 * [taylor]: Taking taylor expansion of J in K
106.703 * [backup-simplify]: Simplify J into J
106.703 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
106.703 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.704 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))
106.704 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))
106.704 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))))
106.704 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J
106.704 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J
106.704 * [taylor]: Taking taylor expansion of 2 in J
106.704 * [backup-simplify]: Simplify 2 into 2
106.704 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J
106.704 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
106.704 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
106.704 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
106.704 * [taylor]: Taking taylor expansion of 1/2 in J
106.704 * [backup-simplify]: Simplify 1/2 into 1/2
106.704 * [taylor]: Taking taylor expansion of K in J
106.704 * [backup-simplify]: Simplify K into K
106.704 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
106.705 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
106.705 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
106.705 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
106.705 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
106.709 * [backup-simplify]: Simplify (- 0) into 0
106.709 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
106.709 * [taylor]: Taking taylor expansion of (pow J 2) in J
106.709 * [taylor]: Taking taylor expansion of J in J
106.709 * [backup-simplify]: Simplify 0 into 0
106.709 * [backup-simplify]: Simplify 1 into 1
106.709 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
106.710 * [backup-simplify]: Simplify (* 1 1) into 1
106.710 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2)
106.711 * [backup-simplify]: Simplify (+ 0) into 0
106.711 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
106.712 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
106.712 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
106.713 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
106.713 * [backup-simplify]: Simplify (- 0) into 0
106.714 * [backup-simplify]: Simplify (+ 0 0) into 0
106.714 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
106.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0
106.716 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
106.716 * [backup-simplify]: Simplify (- 0) into 0
106.716 * [backup-simplify]: Simplify 0 into 0
106.717 * [taylor]: Taking taylor expansion of 0 in J
106.717 * [backup-simplify]: Simplify 0 into 0
106.717 * [taylor]: Taking taylor expansion of 0 in J
106.717 * [backup-simplify]: Simplify 0 into 0
106.717 * [backup-simplify]: Simplify 0 into 0
106.717 * [backup-simplify]: Simplify 0 into 0
106.717 * [backup-simplify]: Simplify 0 into 0
106.718 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
106.718 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0
106.719 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 3))))) into 0
106.721 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
106.721 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
106.722 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
106.723 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
106.724 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
106.724 * [backup-simplify]: Simplify (- 0) into 0
106.725 * [backup-simplify]: Simplify (+ 0 0) into 0
106.725 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
106.726 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
106.727 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 3))))) into 0
106.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
106.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
106.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
106.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 6))))) into 0
106.732 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)) (/ 0 (pow (cos (/ 1/2 K)) 6))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 6))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 6))))) into 0
106.734 * [backup-simplify]: Simplify (+ (* 1/64 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))))) into 0
106.734 * [backup-simplify]: Simplify (+ 0 0) into 0
106.735 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
106.736 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0
106.737 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
106.738 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
106.738 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
106.739 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
106.740 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
106.740 * [backup-simplify]: Simplify (- 0) into 0
106.740 * [backup-simplify]: Simplify (+ 0 0) into 0
106.741 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
106.741 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
106.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
106.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
106.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 4))))) into 0
106.743 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
106.744 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))))) into 0
106.744 * [backup-simplify]: Simplify (+ 0 0) into 0
106.745 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
106.745 * [backup-simplify]: Simplify (+ 0) into 0
106.745 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
106.745 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
106.746 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
106.746 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
106.746 * [backup-simplify]: Simplify (- 0) into 0
106.746 * [backup-simplify]: Simplify (+ 0 0) into 0
106.747 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
106.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
106.747 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
106.748 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
106.748 * [backup-simplify]: Simplify (- 0) into 0
106.748 * [backup-simplify]: Simplify (+ 0 0) into 0
106.749 * [backup-simplify]: Simplify (- (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (+ (* (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))) (* 0 (/ (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))) (* 1 (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))))) into 0
106.749 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
106.750 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
106.750 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
106.750 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
106.751 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
106.752 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
106.752 * [backup-simplify]: Simplify (- 0) into 0
106.752 * [backup-simplify]: Simplify (+ 0 0) into 0
106.753 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
106.753 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1/2 K)) J) 0) (+ (* 0 (/ (cos (/ 1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0
106.754 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0
106.754 * [taylor]: Taking taylor expansion of 0 in K
106.754 * [backup-simplify]: Simplify 0 into 0
106.754 * [taylor]: Taking taylor expansion of 0 in J
106.754 * [backup-simplify]: Simplify 0 into 0
106.754 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
106.754 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
106.754 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
106.755 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0
106.755 * [backup-simplify]: Simplify (- 0) into 0
106.755 * [taylor]: Taking taylor expansion of 0 in J
106.755 * [backup-simplify]: Simplify 0 into 0
106.755 * [taylor]: Taking taylor expansion of 0 in J
106.755 * [backup-simplify]: Simplify 0 into 0
106.755 * [taylor]: Taking taylor expansion of 0 in J
106.755 * [backup-simplify]: Simplify 0 into 0
106.756 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
106.756 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
106.756 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
106.757 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
106.757 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
106.757 * [backup-simplify]: Simplify (- 0) into 0
106.758 * [backup-simplify]: Simplify (+ 0 0) into 0
106.758 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
106.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
106.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
106.760 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
106.760 * [backup-simplify]: Simplify (- 0) into 0
106.760 * [backup-simplify]: Simplify 0 into 0
106.760 * [backup-simplify]: Simplify 0 into 0
106.760 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U)
106.763 * [backup-simplify]: Simplify (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ 1 (- U)) (* (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))) 2)) (/ (/ 1 (- U)) (* (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))) 2))) (* (/ (/ 1 (- U)) (* (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))) 2)) (/ (/ 1 (- U)) (* (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))) 2)))) (* (/ (/ 1 (- U)) (* (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))) 2)) (/ (/ 1 (- U)) (* (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))) 2)))))) (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))) -2) (sqrt (+ (* (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))))) (- (* 1 1) (* (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1))))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))))
106.763 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) in (U K J) around 0
106.763 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) in J
106.763 * [taylor]: Taking taylor expansion of 2 in J
106.763 * [backup-simplify]: Simplify 2 into 2
106.763 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J
106.763 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
106.763 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
106.763 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
106.763 * [taylor]: Taking taylor expansion of -1/2 in J
106.763 * [backup-simplify]: Simplify -1/2 into -1/2
106.763 * [taylor]: Taking taylor expansion of K in J
106.763 * [backup-simplify]: Simplify K into K
106.763 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
106.763 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
106.763 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
106.763 * [taylor]: Taking taylor expansion of J in J
106.763 * [backup-simplify]: Simplify 0 into 0
106.763 * [backup-simplify]: Simplify 1 into 1
106.763 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
106.763 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
106.763 * [backup-simplify]: Simplify (- 0) into 0
106.763 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
106.763 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
106.763 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J
106.764 * [taylor]: Taking taylor expansion of (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
106.764 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) in J
106.764 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) in J
106.764 * [taylor]: Taking taylor expansion of 1/64 in J
106.764 * [backup-simplify]: Simplify 1/64 into 1/64
106.764 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) in J
106.764 * [taylor]: Taking taylor expansion of (pow J 6) in J
106.764 * [taylor]: Taking taylor expansion of J in J
106.764 * [backup-simplify]: Simplify 0 into 0
106.764 * [backup-simplify]: Simplify 1 into 1
106.764 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 6) (pow U 6)) in J
106.764 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 6) in J
106.764 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
106.764 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
106.764 * [taylor]: Taking taylor expansion of -1/2 in J
106.764 * [backup-simplify]: Simplify -1/2 into -1/2
106.764 * [taylor]: Taking taylor expansion of K in J
106.764 * [backup-simplify]: Simplify K into K
106.764 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
106.764 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
106.764 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
106.764 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
106.764 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
106.764 * [backup-simplify]: Simplify (- 0) into 0
106.764 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
106.764 * [taylor]: Taking taylor expansion of (pow U 6) in J
106.764 * [taylor]: Taking taylor expansion of U in J
106.764 * [backup-simplify]: Simplify U into U
106.765 * [backup-simplify]: Simplify (* 1 1) into 1
106.765 * [backup-simplify]: Simplify (* 1 1) into 1
106.765 * [backup-simplify]: Simplify (* 1 1) into 1
106.765 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
106.765 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 3)
106.765 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 3) (pow (cos (/ -1/2 K)) 3)) into (pow (cos (/ -1/2 K)) 6)
106.765 * [backup-simplify]: Simplify (* U U) into (pow U 2)
106.765 * [backup-simplify]: Simplify (* U (pow U 2)) into (pow U 3)
106.766 * [backup-simplify]: Simplify (* (pow U 3) (pow U 3)) into (pow U 6)
106.766 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 6) (pow U 6)) into (* (pow (cos (/ -1/2 K)) 6) (pow U 6))
106.766 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) into (/ 1 (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))
106.766 * [taylor]: Taking taylor expansion of 1 in J
106.766 * [backup-simplify]: Simplify 1 into 1
106.766 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
106.766 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in J
106.766 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in J
106.766 * [taylor]: Taking taylor expansion of 1/16 in J
106.766 * [backup-simplify]: Simplify 1/16 into 1/16
106.766 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in J
106.766 * [taylor]: Taking taylor expansion of (pow J 4) in J
106.766 * [taylor]: Taking taylor expansion of J in J
106.766 * [backup-simplify]: Simplify 0 into 0
106.766 * [backup-simplify]: Simplify 1 into 1
106.766 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in J
106.766 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in J
106.766 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
106.766 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
106.766 * [taylor]: Taking taylor expansion of -1/2 in J
106.766 * [backup-simplify]: Simplify -1/2 into -1/2
106.766 * [taylor]: Taking taylor expansion of K in J
106.766 * [backup-simplify]: Simplify K into K
106.766 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
106.766 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
106.766 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
106.766 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
106.766 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
106.767 * [backup-simplify]: Simplify (- 0) into 0
106.767 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
106.767 * [taylor]: Taking taylor expansion of (pow U 4) in J
106.767 * [taylor]: Taking taylor expansion of U in J
106.767 * [backup-simplify]: Simplify U into U
106.767 * [backup-simplify]: Simplify (* 1 1) into 1
106.767 * [backup-simplify]: Simplify (* 1 1) into 1
106.767 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
106.767 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
106.767 * [backup-simplify]: Simplify (* U U) into (pow U 2)
106.767 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
106.768 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) into (* (pow (cos (/ -1/2 K)) 4) (pow U 4))
106.768 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) into (/ 1 (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))
106.768 * [taylor]: Taking taylor expansion of 1 in J
106.768 * [backup-simplify]: Simplify 1 into 1
106.768 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
106.768 * [taylor]: Taking taylor expansion of 1/4 in J
106.768 * [backup-simplify]: Simplify 1/4 into 1/4
106.768 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
106.768 * [taylor]: Taking taylor expansion of (pow J 2) in J
106.768 * [taylor]: Taking taylor expansion of J in J
106.768 * [backup-simplify]: Simplify 0 into 0
106.768 * [backup-simplify]: Simplify 1 into 1
106.768 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
106.768 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
106.768 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
106.768 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
106.768 * [taylor]: Taking taylor expansion of -1/2 in J
106.768 * [backup-simplify]: Simplify -1/2 into -1/2
106.768 * [taylor]: Taking taylor expansion of K in J
106.768 * [backup-simplify]: Simplify K into K
106.768 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
106.768 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
106.768 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
106.768 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
106.768 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
106.768 * [backup-simplify]: Simplify (- 0) into 0
106.768 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
106.768 * [taylor]: Taking taylor expansion of (pow U 2) in J
106.768 * [taylor]: Taking taylor expansion of U in J
106.769 * [backup-simplify]: Simplify U into U
106.769 * [backup-simplify]: Simplify (* 1 1) into 1
106.769 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
106.769 * [backup-simplify]: Simplify (* U U) into (pow U 2)
106.769 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
106.769 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
106.769 * [backup-simplify]: Simplify (+ 0 1) into 1
106.770 * [backup-simplify]: Simplify (+ 0 1) into 1
106.770 * [backup-simplify]: Simplify (+ 1 0) into 1
106.770 * [backup-simplify]: Simplify (/ 1 1) into 1
106.770 * [backup-simplify]: Simplify (sqrt 1) into 1
106.771 * [backup-simplify]: Simplify (+ 0 0) into 0
106.771 * [backup-simplify]: Simplify (+ 0 0) into 0
106.771 * [backup-simplify]: Simplify (+ 0 0) into 0
106.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
106.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
106.772 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) in K
106.772 * [taylor]: Taking taylor expansion of 2 in K
106.772 * [backup-simplify]: Simplify 2 into 2
106.772 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K
106.772 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
106.772 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
106.772 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
106.772 * [taylor]: Taking taylor expansion of -1/2 in K
106.772 * [backup-simplify]: Simplify -1/2 into -1/2
106.772 * [taylor]: Taking taylor expansion of K in K
106.772 * [backup-simplify]: Simplify 0 into 0
106.772 * [backup-simplify]: Simplify 1 into 1
106.772 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
106.773 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
106.773 * [taylor]: Taking taylor expansion of J in K
106.773 * [backup-simplify]: Simplify J into J
106.773 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
106.773 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K
106.773 * [taylor]: Taking taylor expansion of (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
106.773 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) in K
106.773 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) in K
106.773 * [taylor]: Taking taylor expansion of 1/64 in K
106.773 * [backup-simplify]: Simplify 1/64 into 1/64
106.773 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) in K
106.773 * [taylor]: Taking taylor expansion of (pow J 6) in K
106.773 * [taylor]: Taking taylor expansion of J in K
106.773 * [backup-simplify]: Simplify J into J
106.773 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 6) (pow U 6)) in K
106.773 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 6) in K
106.773 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
106.773 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
106.773 * [taylor]: Taking taylor expansion of -1/2 in K
106.773 * [backup-simplify]: Simplify -1/2 into -1/2
106.773 * [taylor]: Taking taylor expansion of K in K
106.773 * [backup-simplify]: Simplify 0 into 0
106.773 * [backup-simplify]: Simplify 1 into 1
106.773 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
106.773 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
106.773 * [taylor]: Taking taylor expansion of (pow U 6) in K
106.773 * [taylor]: Taking taylor expansion of U in K
106.773 * [backup-simplify]: Simplify U into U
106.773 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.773 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
106.773 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
106.774 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
106.774 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 3)
106.774 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 3) (pow (cos (/ -1/2 K)) 3)) into (pow (cos (/ -1/2 K)) 6)
106.774 * [backup-simplify]: Simplify (* U U) into (pow U 2)
106.774 * [backup-simplify]: Simplify (* U (pow U 2)) into (pow U 3)
106.774 * [backup-simplify]: Simplify (* (pow U 3) (pow U 3)) into (pow U 6)
106.774 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 6) (pow U 6)) into (* (pow (cos (/ -1/2 K)) 6) (pow U 6))
106.774 * [backup-simplify]: Simplify (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) into (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))
106.774 * [taylor]: Taking taylor expansion of 1 in K
106.774 * [backup-simplify]: Simplify 1 into 1
106.774 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
106.774 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in K
106.774 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in K
106.774 * [taylor]: Taking taylor expansion of 1/16 in K
106.774 * [backup-simplify]: Simplify 1/16 into 1/16
106.774 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in K
106.774 * [taylor]: Taking taylor expansion of (pow J 4) in K
106.774 * [taylor]: Taking taylor expansion of J in K
106.774 * [backup-simplify]: Simplify J into J
106.774 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in K
106.774 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in K
106.774 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
106.774 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
106.774 * [taylor]: Taking taylor expansion of -1/2 in K
106.774 * [backup-simplify]: Simplify -1/2 into -1/2
106.774 * [taylor]: Taking taylor expansion of K in K
106.774 * [backup-simplify]: Simplify 0 into 0
106.774 * [backup-simplify]: Simplify 1 into 1
106.775 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
106.775 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
106.775 * [taylor]: Taking taylor expansion of (pow U 4) in K
106.775 * [taylor]: Taking taylor expansion of U in K
106.775 * [backup-simplify]: Simplify U into U
106.775 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.775 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
106.775 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
106.775 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
106.775 * [backup-simplify]: Simplify (* U U) into (pow U 2)
106.775 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
106.775 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) into (* (pow (cos (/ -1/2 K)) 4) (pow U 4))
106.775 * [backup-simplify]: Simplify (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) into (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))
106.775 * [taylor]: Taking taylor expansion of 1 in K
106.775 * [backup-simplify]: Simplify 1 into 1
106.775 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
106.775 * [taylor]: Taking taylor expansion of 1/4 in K
106.775 * [backup-simplify]: Simplify 1/4 into 1/4
106.776 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
106.776 * [taylor]: Taking taylor expansion of (pow J 2) in K
106.776 * [taylor]: Taking taylor expansion of J in K
106.776 * [backup-simplify]: Simplify J into J
106.776 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
106.776 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
106.776 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
106.776 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
106.776 * [taylor]: Taking taylor expansion of -1/2 in K
106.776 * [backup-simplify]: Simplify -1/2 into -1/2
106.776 * [taylor]: Taking taylor expansion of K in K
106.776 * [backup-simplify]: Simplify 0 into 0
106.776 * [backup-simplify]: Simplify 1 into 1
106.776 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
106.776 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
106.776 * [taylor]: Taking taylor expansion of (pow U 2) in K
106.776 * [taylor]: Taking taylor expansion of U in K
106.776 * [backup-simplify]: Simplify U into U
106.776 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.776 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
106.776 * [backup-simplify]: Simplify (* U U) into (pow U 2)
106.776 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
106.776 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
106.777 * [backup-simplify]: Simplify (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) into (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))))
106.777 * [backup-simplify]: Simplify (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) into (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1)
106.777 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) into (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))))
106.777 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) into (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1)
106.777 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
106.777 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (- (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
106.778 * [backup-simplify]: Simplify (+ (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (- (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
106.779 * [backup-simplify]: Simplify (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
106.779 * [backup-simplify]: Simplify (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))
106.779 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
106.779 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (pow J 2))) into 0
106.779 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (* 0 (pow J 3))) into 0
106.779 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
106.780 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (pow U 2))) into 0
106.780 * [backup-simplify]: Simplify (+ (* (pow U 3) 0) (* 0 (pow U 3))) into 0
106.780 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
106.780 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
106.780 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 3) 0) (* 0 (pow (cos (/ -1/2 K)) 3))) into 0
106.780 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 6) 0) (* 0 (pow U 6))) into 0
106.780 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) (+ (* (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) (/ 0 (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))))) into 0
106.781 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))))) into 0
106.781 * [backup-simplify]: Simplify (+ 0 0) into 0
106.781 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
106.781 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
106.781 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
106.781 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow U 2))) into 0
106.782 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
106.782 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
106.782 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (* 0 (pow U 4))) into 0
106.782 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) (+ (* (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) (/ 0 (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))))) into 0
106.782 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))))) into 0
106.783 * [backup-simplify]: Simplify (+ 0 0) into 0
106.783 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
106.783 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
106.783 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
106.783 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
106.783 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
106.784 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
106.784 * [backup-simplify]: Simplify (- 0) into 0
106.784 * [backup-simplify]: Simplify (+ 0 0) into 0
106.786 * [backup-simplify]: Simplify (- (/ 0 (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) (+ (* (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) (/ 0 (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) into 0
106.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) into 0
106.787 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) in U
106.787 * [taylor]: Taking taylor expansion of 2 in U
106.787 * [backup-simplify]: Simplify 2 into 2
106.787 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
106.787 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
106.787 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
106.787 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
106.787 * [taylor]: Taking taylor expansion of -1/2 in U
106.787 * [backup-simplify]: Simplify -1/2 into -1/2
106.787 * [taylor]: Taking taylor expansion of K in U
106.787 * [backup-simplify]: Simplify K into K
106.787 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
106.787 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
106.787 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
106.787 * [taylor]: Taking taylor expansion of J in U
106.787 * [backup-simplify]: Simplify J into J
106.787 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
106.787 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
106.788 * [backup-simplify]: Simplify (- 0) into 0
106.788 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
106.788 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
106.788 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
106.788 * [taylor]: Taking taylor expansion of (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
106.788 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) in U
106.788 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) in U
106.788 * [taylor]: Taking taylor expansion of 1/64 in U
106.788 * [backup-simplify]: Simplify 1/64 into 1/64
106.788 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) in U
106.788 * [taylor]: Taking taylor expansion of (pow J 6) in U
106.788 * [taylor]: Taking taylor expansion of J in U
106.788 * [backup-simplify]: Simplify J into J
106.788 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 6) (pow U 6)) in U
106.788 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 6) in U
106.788 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
106.788 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
106.788 * [taylor]: Taking taylor expansion of -1/2 in U
106.788 * [backup-simplify]: Simplify -1/2 into -1/2
106.788 * [taylor]: Taking taylor expansion of K in U
106.788 * [backup-simplify]: Simplify K into K
106.788 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
106.788 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
106.789 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
106.789 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
106.789 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
106.789 * [backup-simplify]: Simplify (- 0) into 0
106.789 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
106.789 * [taylor]: Taking taylor expansion of (pow U 6) in U
106.789 * [taylor]: Taking taylor expansion of U in U
106.789 * [backup-simplify]: Simplify 0 into 0
106.789 * [backup-simplify]: Simplify 1 into 1
106.789 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.789 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
106.790 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
106.790 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
106.790 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 3)
106.790 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 3) (pow (cos (/ -1/2 K)) 3)) into (pow (cos (/ -1/2 K)) 6)
106.790 * [backup-simplify]: Simplify (* 1 1) into 1
106.791 * [backup-simplify]: Simplify (* 1 1) into 1
106.791 * [backup-simplify]: Simplify (* 1 1) into 1
106.791 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 6) 1) into (pow (cos (/ -1/2 K)) 6)
106.791 * [backup-simplify]: Simplify (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)) into (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))
106.792 * [taylor]: Taking taylor expansion of 1 in U
106.792 * [backup-simplify]: Simplify 1 into 1
106.792 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
106.792 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in U
106.792 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in U
106.792 * [taylor]: Taking taylor expansion of 1/16 in U
106.792 * [backup-simplify]: Simplify 1/16 into 1/16
106.792 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in U
106.792 * [taylor]: Taking taylor expansion of (pow J 4) in U
106.792 * [taylor]: Taking taylor expansion of J in U
106.792 * [backup-simplify]: Simplify J into J
106.792 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in U
106.792 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in U
106.792 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
106.792 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
106.792 * [taylor]: Taking taylor expansion of -1/2 in U
106.792 * [backup-simplify]: Simplify -1/2 into -1/2
106.792 * [taylor]: Taking taylor expansion of K in U
106.792 * [backup-simplify]: Simplify K into K
106.792 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
106.792 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
106.792 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
106.792 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
106.792 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
106.793 * [backup-simplify]: Simplify (- 0) into 0
106.793 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
106.793 * [taylor]: Taking taylor expansion of (pow U 4) in U
106.793 * [taylor]: Taking taylor expansion of U in U
106.793 * [backup-simplify]: Simplify 0 into 0
106.793 * [backup-simplify]: Simplify 1 into 1
106.793 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.793 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
106.793 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
106.793 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
106.794 * [backup-simplify]: Simplify (* 1 1) into 1
106.794 * [backup-simplify]: Simplify (* 1 1) into 1
106.794 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) 1) into (pow (cos (/ -1/2 K)) 4)
106.794 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))
106.795 * [taylor]: Taking taylor expansion of 1 in U
106.795 * [backup-simplify]: Simplify 1 into 1
106.795 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
106.795 * [taylor]: Taking taylor expansion of 1/4 in U
106.795 * [backup-simplify]: Simplify 1/4 into 1/4
106.795 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
106.795 * [taylor]: Taking taylor expansion of (pow J 2) in U
106.795 * [taylor]: Taking taylor expansion of J in U
106.795 * [backup-simplify]: Simplify J into J
106.795 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
106.795 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
106.795 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
106.795 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
106.795 * [taylor]: Taking taylor expansion of -1/2 in U
106.795 * [backup-simplify]: Simplify -1/2 into -1/2
106.795 * [taylor]: Taking taylor expansion of K in U
106.795 * [backup-simplify]: Simplify K into K
106.795 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
106.795 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
106.795 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
106.795 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
106.795 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
106.796 * [backup-simplify]: Simplify (- 0) into 0
106.796 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
106.796 * [taylor]: Taking taylor expansion of (pow U 2) in U
106.796 * [taylor]: Taking taylor expansion of U in U
106.796 * [backup-simplify]: Simplify 0 into 0
106.796 * [backup-simplify]: Simplify 1 into 1
106.796 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.796 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
106.796 * [backup-simplify]: Simplify (* 1 1) into 1
106.797 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
106.797 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
106.797 * [backup-simplify]: Simplify (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))) into (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))
106.797 * [backup-simplify]: Simplify (+ (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))) 0) into (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))
106.797 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
106.798 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
106.798 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
106.798 * [backup-simplify]: Simplify (/ (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))) (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
106.799 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
106.799 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
106.799 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (pow J 2))) into 0
106.799 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (* 0 (pow J 3))) into 0
106.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.801 * [backup-simplify]: Simplify (+ 0) into 0
106.802 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
106.802 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
106.803 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
106.804 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
106.804 * [backup-simplify]: Simplify (- 0) into 0
106.804 * [backup-simplify]: Simplify (+ 0 0) into 0
106.805 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
106.805 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
106.805 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 3) 0) (* 0 (pow (cos (/ -1/2 K)) 3))) into 0
106.806 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 6) 0) (* 0 1)) into 0
106.806 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)) (/ 0 (pow (cos (/ -1/2 K)) 6))))) into 0
106.807 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))) into 0
106.807 * [backup-simplify]: Simplify (+ 0 0) into 0
106.807 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
106.807 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
106.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.809 * [backup-simplify]: Simplify (+ 0) into 0
106.809 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
106.810 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
106.810 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
106.811 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
106.811 * [backup-simplify]: Simplify (- 0) into 0
106.812 * [backup-simplify]: Simplify (+ 0 0) into 0
106.812 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
106.812 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
106.813 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (* 0 1)) into 0
106.813 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
106.814 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) into 0
106.814 * [backup-simplify]: Simplify (+ 0 0) into 0
106.814 * [backup-simplify]: Simplify (+ 0 0) into 0
106.815 * [backup-simplify]: Simplify (- (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (+ (* (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))))) into 0
106.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
106.815 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) in U
106.815 * [taylor]: Taking taylor expansion of 2 in U
106.815 * [backup-simplify]: Simplify 2 into 2
106.816 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
106.816 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
106.816 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
106.816 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
106.816 * [taylor]: Taking taylor expansion of -1/2 in U
106.816 * [backup-simplify]: Simplify -1/2 into -1/2
106.816 * [taylor]: Taking taylor expansion of K in U
106.816 * [backup-simplify]: Simplify K into K
106.816 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
106.816 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
106.816 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
106.816 * [taylor]: Taking taylor expansion of J in U
106.816 * [backup-simplify]: Simplify J into J
106.816 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
106.816 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
106.817 * [backup-simplify]: Simplify (- 0) into 0
106.817 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
106.817 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
106.817 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
106.817 * [taylor]: Taking taylor expansion of (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
106.817 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) in U
106.817 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) in U
106.817 * [taylor]: Taking taylor expansion of 1/64 in U
106.817 * [backup-simplify]: Simplify 1/64 into 1/64
106.817 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) in U
106.817 * [taylor]: Taking taylor expansion of (pow J 6) in U
106.817 * [taylor]: Taking taylor expansion of J in U
106.817 * [backup-simplify]: Simplify J into J
106.817 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 6) (pow U 6)) in U
106.817 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 6) in U
106.817 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
106.817 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
106.817 * [taylor]: Taking taylor expansion of -1/2 in U
106.817 * [backup-simplify]: Simplify -1/2 into -1/2
106.817 * [taylor]: Taking taylor expansion of K in U
106.817 * [backup-simplify]: Simplify K into K
106.817 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
106.817 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
106.818 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
106.818 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
106.818 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
106.818 * [backup-simplify]: Simplify (- 0) into 0
106.818 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
106.818 * [taylor]: Taking taylor expansion of (pow U 6) in U
106.818 * [taylor]: Taking taylor expansion of U in U
106.818 * [backup-simplify]: Simplify 0 into 0
106.818 * [backup-simplify]: Simplify 1 into 1
106.818 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.818 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
106.819 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
106.819 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
106.819 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 3)
106.819 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 3) (pow (cos (/ -1/2 K)) 3)) into (pow (cos (/ -1/2 K)) 6)
106.819 * [backup-simplify]: Simplify (* 1 1) into 1
106.820 * [backup-simplify]: Simplify (* 1 1) into 1
106.820 * [backup-simplify]: Simplify (* 1 1) into 1
106.820 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 6) 1) into (pow (cos (/ -1/2 K)) 6)
106.820 * [backup-simplify]: Simplify (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)) into (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))
106.820 * [taylor]: Taking taylor expansion of 1 in U
106.820 * [backup-simplify]: Simplify 1 into 1
106.820 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
106.821 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in U
106.821 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in U
106.821 * [taylor]: Taking taylor expansion of 1/16 in U
106.821 * [backup-simplify]: Simplify 1/16 into 1/16
106.821 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in U
106.821 * [taylor]: Taking taylor expansion of (pow J 4) in U
106.821 * [taylor]: Taking taylor expansion of J in U
106.821 * [backup-simplify]: Simplify J into J
106.821 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in U
106.821 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in U
106.821 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
106.821 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
106.821 * [taylor]: Taking taylor expansion of -1/2 in U
106.821 * [backup-simplify]: Simplify -1/2 into -1/2
106.821 * [taylor]: Taking taylor expansion of K in U
106.821 * [backup-simplify]: Simplify K into K
106.821 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
106.821 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
106.821 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
106.821 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
106.821 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
106.822 * [backup-simplify]: Simplify (- 0) into 0
106.822 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
106.822 * [taylor]: Taking taylor expansion of (pow U 4) in U
106.822 * [taylor]: Taking taylor expansion of U in U
106.822 * [backup-simplify]: Simplify 0 into 0
106.822 * [backup-simplify]: Simplify 1 into 1
106.822 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.822 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
106.822 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
106.822 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
106.823 * [backup-simplify]: Simplify (* 1 1) into 1
106.823 * [backup-simplify]: Simplify (* 1 1) into 1
106.823 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) 1) into (pow (cos (/ -1/2 K)) 4)
106.823 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))
106.823 * [taylor]: Taking taylor expansion of 1 in U
106.823 * [backup-simplify]: Simplify 1 into 1
106.824 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
106.824 * [taylor]: Taking taylor expansion of 1/4 in U
106.824 * [backup-simplify]: Simplify 1/4 into 1/4
106.824 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
106.824 * [taylor]: Taking taylor expansion of (pow J 2) in U
106.824 * [taylor]: Taking taylor expansion of J in U
106.824 * [backup-simplify]: Simplify J into J
106.824 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
106.824 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
106.824 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
106.824 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
106.824 * [taylor]: Taking taylor expansion of -1/2 in U
106.824 * [backup-simplify]: Simplify -1/2 into -1/2
106.824 * [taylor]: Taking taylor expansion of K in U
106.824 * [backup-simplify]: Simplify K into K
106.824 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
106.824 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
106.824 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
106.824 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
106.824 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
106.825 * [backup-simplify]: Simplify (- 0) into 0
106.825 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
106.825 * [taylor]: Taking taylor expansion of (pow U 2) in U
106.825 * [taylor]: Taking taylor expansion of U in U
106.825 * [backup-simplify]: Simplify 0 into 0
106.825 * [backup-simplify]: Simplify 1 into 1
106.825 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.825 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
106.825 * [backup-simplify]: Simplify (* 1 1) into 1
106.826 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
106.826 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
106.826 * [backup-simplify]: Simplify (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))) into (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))
106.826 * [backup-simplify]: Simplify (+ (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))) 0) into (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))
106.826 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
106.827 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
106.827 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
106.827 * [backup-simplify]: Simplify (/ (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))) (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
106.828 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
106.828 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
106.828 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (pow J 2))) into 0
106.828 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (* 0 (pow J 3))) into 0
106.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.835 * [backup-simplify]: Simplify (+ 0) into 0
106.835 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
106.835 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
106.836 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
106.837 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
106.837 * [backup-simplify]: Simplify (- 0) into 0
106.837 * [backup-simplify]: Simplify (+ 0 0) into 0
106.837 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
106.838 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
106.838 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 3) 0) (* 0 (pow (cos (/ -1/2 K)) 3))) into 0
106.838 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 6) 0) (* 0 1)) into 0
106.839 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)) (/ 0 (pow (cos (/ -1/2 K)) 6))))) into 0
106.839 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))) into 0
106.840 * [backup-simplify]: Simplify (+ 0 0) into 0
106.840 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
106.840 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
106.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.842 * [backup-simplify]: Simplify (+ 0) into 0
106.843 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
106.843 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
106.843 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
106.844 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
106.844 * [backup-simplify]: Simplify (- 0) into 0
106.845 * [backup-simplify]: Simplify (+ 0 0) into 0
106.845 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
106.845 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
106.846 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (* 0 1)) into 0
106.846 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
106.847 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) into 0
106.847 * [backup-simplify]: Simplify (+ 0 0) into 0
106.847 * [backup-simplify]: Simplify (+ 0 0) into 0
106.848 * [backup-simplify]: Simplify (- (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (+ (* (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))))) into 0
106.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
106.849 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2
106.849 * [backup-simplify]: Simplify (* 2 1/2) into 1
106.849 * [taylor]: Taking taylor expansion of 1 in K
106.849 * [backup-simplify]: Simplify 1 into 1
106.849 * [taylor]: Taking taylor expansion of 1 in J
106.849 * [backup-simplify]: Simplify 1 into 1
106.849 * [backup-simplify]: Simplify (+ 0) into 0
106.850 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
106.850 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
106.851 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
106.851 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
106.852 * [backup-simplify]: Simplify (- 0) into 0
106.852 * [backup-simplify]: Simplify (+ 0 0) into 0
106.852 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0
106.853 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
106.853 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0
106.853 * [taylor]: Taking taylor expansion of 0 in K
106.853 * [backup-simplify]: Simplify 0 into 0
106.853 * [taylor]: Taking taylor expansion of 0 in J
106.853 * [backup-simplify]: Simplify 0 into 0
106.853 * [taylor]: Taking taylor expansion of 0 in J
106.853 * [backup-simplify]: Simplify 0 into 0
106.854 * [backup-simplify]: Simplify 1 into 1
106.854 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
106.854 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
106.855 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (+ (* 0 0) (* 0 (pow J 3)))) into 0
106.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
106.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
106.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
106.859 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
106.859 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
106.859 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
106.860 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
106.861 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
106.861 * [backup-simplify]: Simplify (- 0) into 0
106.862 * [backup-simplify]: Simplify (+ 0 0) into 0
106.862 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
106.863 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
106.864 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 3) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 3)))) into 0
106.864 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 6) 0) (+ (* 0 0) (* 0 1))) into 0
106.865 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)) (/ 0 (pow (cos (/ -1/2 K)) 6))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 6))))) into 0
106.866 * [backup-simplify]: Simplify (+ (* 1/64 0) (+ (* 0 0) (* 0 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))))) into 0
106.866 * [backup-simplify]: Simplify (+ 0 0) into 0
106.867 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
106.867 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
106.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
106.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
106.870 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
106.871 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
106.871 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
106.872 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
106.872 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
106.873 * [backup-simplify]: Simplify (- 0) into 0
106.873 * [backup-simplify]: Simplify (+ 0 0) into 0
106.874 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
106.874 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
106.875 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (+ (* 0 0) (* 0 1))) into 0
106.875 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
106.876 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))) into 0
106.877 * [backup-simplify]: Simplify (+ 0 0) into 0
106.877 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
106.877 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))
106.878 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))
106.879 * [backup-simplify]: Simplify (- (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (+ (* (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) (/ (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))) (* 0 (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))))) into 1
106.880 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
106.881 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
106.881 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
106.882 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
106.882 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
106.883 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
106.883 * [backup-simplify]: Simplify (- 0) into 0
106.884 * [backup-simplify]: Simplify (+ 0 0) into 0
106.884 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
106.885 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))
106.886 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))
106.886 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K
106.886 * [taylor]: Taking taylor expansion of 2 in K
106.886 * [backup-simplify]: Simplify 2 into 2
106.886 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K
106.886 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
106.886 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
106.886 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
106.886 * [taylor]: Taking taylor expansion of -1/2 in K
106.886 * [backup-simplify]: Simplify -1/2 into -1/2
106.886 * [taylor]: Taking taylor expansion of K in K
106.886 * [backup-simplify]: Simplify 0 into 0
106.886 * [backup-simplify]: Simplify 1 into 1
106.886 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
106.886 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
106.886 * [taylor]: Taking taylor expansion of (pow J 2) in K
106.886 * [taylor]: Taking taylor expansion of J in K
106.886 * [backup-simplify]: Simplify J into J
106.887 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
106.887 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.887 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))
106.887 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))
106.887 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J
106.887 * [taylor]: Taking taylor expansion of 2 in J
106.887 * [backup-simplify]: Simplify 2 into 2
106.887 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J
106.887 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
106.887 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
106.887 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
106.887 * [taylor]: Taking taylor expansion of -1/2 in J
106.887 * [backup-simplify]: Simplify -1/2 into -1/2
106.887 * [taylor]: Taking taylor expansion of K in J
106.887 * [backup-simplify]: Simplify K into K
106.887 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
106.887 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
106.888 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
106.888 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
106.888 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
106.888 * [backup-simplify]: Simplify (- 0) into 0
106.888 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
106.888 * [taylor]: Taking taylor expansion of (pow J 2) in J
106.888 * [taylor]: Taking taylor expansion of J in J
106.888 * [backup-simplify]: Simplify 0 into 0
106.888 * [backup-simplify]: Simplify 1 into 1
106.889 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
106.889 * [backup-simplify]: Simplify (* 1 1) into 1
106.889 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
106.890 * [backup-simplify]: Simplify (+ 0) into 0
106.890 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
106.890 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
106.891 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
106.891 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
106.892 * [backup-simplify]: Simplify (- 0) into 0
106.892 * [backup-simplify]: Simplify (+ 0 0) into 0
106.892 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
106.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0
106.895 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
106.895 * [backup-simplify]: Simplify 0 into 0
106.895 * [taylor]: Taking taylor expansion of 0 in J
106.895 * [backup-simplify]: Simplify 0 into 0
106.895 * [taylor]: Taking taylor expansion of 0 in J
106.895 * [backup-simplify]: Simplify 0 into 0
106.895 * [backup-simplify]: Simplify 0 into 0
106.895 * [backup-simplify]: Simplify 0 into 0
106.895 * [backup-simplify]: Simplify 0 into 0
106.896 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
106.897 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0
106.897 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 3))))) into 0
106.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
106.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
106.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
106.901 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
106.902 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
106.903 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
106.903 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
106.904 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
106.904 * [backup-simplify]: Simplify (- 0) into 0
106.904 * [backup-simplify]: Simplify (+ 0 0) into 0
106.905 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
106.905 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2))))) into 0
106.906 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 3))))) into 0
106.907 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 6) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
106.907 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)) (/ 0 (pow (cos (/ -1/2 K)) 6))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 6))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 6))))) into 0
106.908 * [backup-simplify]: Simplify (+ (* 1/64 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))))) into 0
106.908 * [backup-simplify]: Simplify (+ 0 0) into 0
106.908 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
106.909 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0
106.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
106.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
106.911 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
106.911 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
106.911 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
106.912 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
106.913 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
106.913 * [backup-simplify]: Simplify (- 0) into 0
106.913 * [backup-simplify]: Simplify (+ 0 0) into 0
106.914 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
106.915 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2))))) into 0
106.915 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
106.915 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
106.916 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))))) into 0
106.917 * [backup-simplify]: Simplify (+ 0 0) into 0
106.917 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
106.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.918 * [backup-simplify]: Simplify (+ 0) into 0
106.918 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
106.918 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
106.919 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
106.919 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
106.919 * [backup-simplify]: Simplify (- 0) into 0
106.919 * [backup-simplify]: Simplify (+ 0 0) into 0
106.919 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
106.920 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
106.920 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
106.920 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
106.921 * [backup-simplify]: Simplify (- 0) into 0
106.921 * [backup-simplify]: Simplify (+ 0 0) into 0
106.921 * [backup-simplify]: Simplify (- (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (+ (* (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))) (* 0 (/ (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))) (* 1 (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))))) into 0
106.922 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
106.922 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
106.923 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
106.923 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
106.924 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
106.924 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
106.925 * [backup-simplify]: Simplify (- 0) into 0
106.925 * [backup-simplify]: Simplify (+ 0 0) into 0
106.925 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
106.925 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0
106.926 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0
106.926 * [taylor]: Taking taylor expansion of 0 in K
106.926 * [backup-simplify]: Simplify 0 into 0
106.926 * [taylor]: Taking taylor expansion of 0 in J
106.926 * [backup-simplify]: Simplify 0 into 0
106.926 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
106.926 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
106.927 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
106.927 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0
106.927 * [taylor]: Taking taylor expansion of 0 in J
106.927 * [backup-simplify]: Simplify 0 into 0
106.927 * [taylor]: Taking taylor expansion of 0 in J
106.927 * [backup-simplify]: Simplify 0 into 0
106.927 * [taylor]: Taking taylor expansion of 0 in J
106.927 * [backup-simplify]: Simplify 0 into 0
106.928 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
106.928 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
106.928 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
106.929 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
106.929 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
106.929 * [backup-simplify]: Simplify (- 0) into 0
106.929 * [backup-simplify]: Simplify (+ 0 0) into 0
106.930 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
106.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
106.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
106.933 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
106.933 * [backup-simplify]: Simplify 0 into 0
106.933 * [backup-simplify]: Simplify 0 into 0
106.933 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U)
106.933 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1)
106.935 * [backup-simplify]: Simplify (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) into (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))
106.935 * [approximate]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in (U K J) around 0
106.935 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in J
106.935 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in J
106.935 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in J
106.935 * [taylor]: Taking taylor expansion of 1/16 in J
106.935 * [backup-simplify]: Simplify 1/16 into 1/16
106.935 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in J
106.935 * [taylor]: Taking taylor expansion of (pow U 4) in J
106.935 * [taylor]: Taking taylor expansion of U in J
106.935 * [backup-simplify]: Simplify U into U
106.935 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in J
106.935 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in J
106.935 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
106.935 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
106.935 * [taylor]: Taking taylor expansion of 1/2 in J
106.935 * [backup-simplify]: Simplify 1/2 into 1/2
106.935 * [taylor]: Taking taylor expansion of K in J
106.935 * [backup-simplify]: Simplify K into K
106.935 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
106.936 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
106.936 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
106.936 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
106.936 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
106.936 * [backup-simplify]: Simplify (- 0) into 0
106.936 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
106.936 * [taylor]: Taking taylor expansion of (pow J 4) in J
106.936 * [taylor]: Taking taylor expansion of J in J
106.936 * [backup-simplify]: Simplify 0 into 0
106.936 * [backup-simplify]: Simplify 1 into 1
106.936 * [backup-simplify]: Simplify (* U U) into (pow U 2)
106.937 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
106.937 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
106.937 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 4)
106.937 * [backup-simplify]: Simplify (* 1 1) into 1
106.938 * [backup-simplify]: Simplify (* 1 1) into 1
106.938 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 4) 1) into (pow (cos (* 1/2 K)) 4)
106.938 * [backup-simplify]: Simplify (/ (pow U 4) (pow (cos (* 1/2 K)) 4)) into (/ (pow U 4) (pow (cos (* 1/2 K)) 4))
106.938 * [taylor]: Taking taylor expansion of 1 in J
106.938 * [backup-simplify]: Simplify 1 into 1
106.938 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
106.938 * [taylor]: Taking taylor expansion of 1/4 in J
106.938 * [backup-simplify]: Simplify 1/4 into 1/4
106.938 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
106.938 * [taylor]: Taking taylor expansion of (pow U 2) in J
106.938 * [taylor]: Taking taylor expansion of U in J
106.938 * [backup-simplify]: Simplify U into U
106.938 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
106.938 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
106.938 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
106.939 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
106.939 * [taylor]: Taking taylor expansion of 1/2 in J
106.939 * [backup-simplify]: Simplify 1/2 into 1/2
106.939 * [taylor]: Taking taylor expansion of K in J
106.939 * [backup-simplify]: Simplify K into K
106.939 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
106.939 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
106.939 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
106.939 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
106.939 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
106.939 * [backup-simplify]: Simplify (- 0) into 0
106.939 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
106.940 * [taylor]: Taking taylor expansion of (pow J 2) in J
106.940 * [taylor]: Taking taylor expansion of J in J
106.940 * [backup-simplify]: Simplify 0 into 0
106.940 * [backup-simplify]: Simplify 1 into 1
106.940 * [backup-simplify]: Simplify (* U U) into (pow U 2)
106.940 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
106.940 * [backup-simplify]: Simplify (* 1 1) into 1
106.940 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
106.940 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
106.941 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in K
106.941 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in K
106.941 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in K
106.941 * [taylor]: Taking taylor expansion of 1/16 in K
106.941 * [backup-simplify]: Simplify 1/16 into 1/16
106.941 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in K
106.941 * [taylor]: Taking taylor expansion of (pow U 4) in K
106.941 * [taylor]: Taking taylor expansion of U in K
106.941 * [backup-simplify]: Simplify U into U
106.941 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in K
106.941 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in K
106.941 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
106.941 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
106.941 * [taylor]: Taking taylor expansion of 1/2 in K
106.941 * [backup-simplify]: Simplify 1/2 into 1/2
106.941 * [taylor]: Taking taylor expansion of K in K
106.941 * [backup-simplify]: Simplify 0 into 0
106.941 * [backup-simplify]: Simplify 1 into 1
106.941 * [backup-simplify]: Simplify (* 1/2 0) into 0
106.942 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
106.942 * [taylor]: Taking taylor expansion of (pow J 4) in K
106.942 * [taylor]: Taking taylor expansion of J in K
106.942 * [backup-simplify]: Simplify J into J
106.942 * [backup-simplify]: Simplify (* U U) into (pow U 2)
106.942 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
106.943 * [backup-simplify]: Simplify (* 1 1) into 1
106.943 * [backup-simplify]: Simplify (* 1 1) into 1
106.943 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.943 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
106.943 * [backup-simplify]: Simplify (* 1 (pow J 4)) into (pow J 4)
106.944 * [backup-simplify]: Simplify (/ (pow U 4) (pow J 4)) into (/ (pow U 4) (pow J 4))
106.944 * [taylor]: Taking taylor expansion of 1 in K
106.944 * [backup-simplify]: Simplify 1 into 1
106.944 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
106.944 * [taylor]: Taking taylor expansion of 1/4 in K
106.944 * [backup-simplify]: Simplify 1/4 into 1/4
106.944 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
106.944 * [taylor]: Taking taylor expansion of (pow U 2) in K
106.944 * [taylor]: Taking taylor expansion of U in K
106.944 * [backup-simplify]: Simplify U into U
106.944 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
106.944 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
106.944 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
106.944 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
106.944 * [taylor]: Taking taylor expansion of 1/2 in K
106.944 * [backup-simplify]: Simplify 1/2 into 1/2
106.944 * [taylor]: Taking taylor expansion of K in K
106.944 * [backup-simplify]: Simplify 0 into 0
106.944 * [backup-simplify]: Simplify 1 into 1
106.944 * [backup-simplify]: Simplify (* 1/2 0) into 0
106.945 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
106.945 * [taylor]: Taking taylor expansion of (pow J 2) in K
106.945 * [taylor]: Taking taylor expansion of J in K
106.945 * [backup-simplify]: Simplify J into J
106.945 * [backup-simplify]: Simplify (* U U) into (pow U 2)
106.946 * [backup-simplify]: Simplify (* 1 1) into 1
106.946 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.946 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
106.946 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
106.946 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in U
106.946 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in U
106.946 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in U
106.946 * [taylor]: Taking taylor expansion of 1/16 in U
106.946 * [backup-simplify]: Simplify 1/16 into 1/16
106.946 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in U
106.946 * [taylor]: Taking taylor expansion of (pow U 4) in U
106.946 * [taylor]: Taking taylor expansion of U in U
106.946 * [backup-simplify]: Simplify 0 into 0
106.946 * [backup-simplify]: Simplify 1 into 1
106.946 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in U
106.946 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in U
106.946 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
106.946 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
106.946 * [taylor]: Taking taylor expansion of 1/2 in U
106.946 * [backup-simplify]: Simplify 1/2 into 1/2
106.946 * [taylor]: Taking taylor expansion of K in U
106.947 * [backup-simplify]: Simplify K into K
106.947 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
106.947 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
106.947 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
106.947 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
106.947 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
106.947 * [backup-simplify]: Simplify (- 0) into 0
106.947 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
106.947 * [taylor]: Taking taylor expansion of (pow J 4) in U
106.947 * [taylor]: Taking taylor expansion of J in U
106.947 * [backup-simplify]: Simplify J into J
106.948 * [backup-simplify]: Simplify (* 1 1) into 1
106.948 * [backup-simplify]: Simplify (* 1 1) into 1
106.948 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
106.948 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 4)
106.949 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.949 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
106.949 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 4) (pow J 4)) into (* (pow (cos (* 1/2 K)) 4) (pow J 4))
106.949 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) into (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))
106.949 * [taylor]: Taking taylor expansion of 1 in U
106.949 * [backup-simplify]: Simplify 1 into 1
106.949 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
106.949 * [taylor]: Taking taylor expansion of 1/4 in U
106.949 * [backup-simplify]: Simplify 1/4 into 1/4
106.949 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
106.949 * [taylor]: Taking taylor expansion of (pow U 2) in U
106.949 * [taylor]: Taking taylor expansion of U in U
106.949 * [backup-simplify]: Simplify 0 into 0
106.949 * [backup-simplify]: Simplify 1 into 1
106.949 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
106.949 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
106.949 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
106.949 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
106.949 * [taylor]: Taking taylor expansion of 1/2 in U
106.949 * [backup-simplify]: Simplify 1/2 into 1/2
106.949 * [taylor]: Taking taylor expansion of K in U
106.949 * [backup-simplify]: Simplify K into K
106.949 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
106.950 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
106.950 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
106.950 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
106.950 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
106.950 * [backup-simplify]: Simplify (- 0) into 0
106.950 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
106.950 * [taylor]: Taking taylor expansion of (pow J 2) in U
106.950 * [taylor]: Taking taylor expansion of J in U
106.950 * [backup-simplify]: Simplify J into J
106.951 * [backup-simplify]: Simplify (* 1 1) into 1
106.951 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
106.951 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.951 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
106.951 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
106.951 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in U
106.951 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in U
106.951 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in U
106.951 * [taylor]: Taking taylor expansion of 1/16 in U
106.951 * [backup-simplify]: Simplify 1/16 into 1/16
106.951 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in U
106.951 * [taylor]: Taking taylor expansion of (pow U 4) in U
106.952 * [taylor]: Taking taylor expansion of U in U
106.952 * [backup-simplify]: Simplify 0 into 0
106.952 * [backup-simplify]: Simplify 1 into 1
106.952 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in U
106.952 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in U
106.952 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
106.952 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
106.952 * [taylor]: Taking taylor expansion of 1/2 in U
106.952 * [backup-simplify]: Simplify 1/2 into 1/2
106.952 * [taylor]: Taking taylor expansion of K in U
106.952 * [backup-simplify]: Simplify K into K
106.952 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
106.952 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
106.952 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
106.952 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
106.952 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
106.952 * [backup-simplify]: Simplify (- 0) into 0
106.953 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
106.953 * [taylor]: Taking taylor expansion of (pow J 4) in U
106.953 * [taylor]: Taking taylor expansion of J in U
106.953 * [backup-simplify]: Simplify J into J
106.953 * [backup-simplify]: Simplify (* 1 1) into 1
106.953 * [backup-simplify]: Simplify (* 1 1) into 1
106.954 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
106.954 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 4)
106.954 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.954 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
106.954 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 4) (pow J 4)) into (* (pow (cos (* 1/2 K)) 4) (pow J 4))
106.954 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) into (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))
106.954 * [taylor]: Taking taylor expansion of 1 in U
106.954 * [backup-simplify]: Simplify 1 into 1
106.954 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
106.954 * [taylor]: Taking taylor expansion of 1/4 in U
106.954 * [backup-simplify]: Simplify 1/4 into 1/4
106.954 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
106.954 * [taylor]: Taking taylor expansion of (pow U 2) in U
106.954 * [taylor]: Taking taylor expansion of U in U
106.955 * [backup-simplify]: Simplify 0 into 0
106.955 * [backup-simplify]: Simplify 1 into 1
106.955 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
106.955 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
106.955 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
106.955 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
106.955 * [taylor]: Taking taylor expansion of 1/2 in U
106.955 * [backup-simplify]: Simplify 1/2 into 1/2
106.955 * [taylor]: Taking taylor expansion of K in U
106.955 * [backup-simplify]: Simplify K into K
106.955 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
106.955 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
106.955 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
106.955 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
106.955 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
106.955 * [backup-simplify]: Simplify (- 0) into 0
106.956 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
106.956 * [taylor]: Taking taylor expansion of (pow J 2) in U
106.956 * [taylor]: Taking taylor expansion of J in U
106.956 * [backup-simplify]: Simplify J into J
106.956 * [backup-simplify]: Simplify (* 1 1) into 1
106.956 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
106.956 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.956 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
106.957 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
106.957 * [backup-simplify]: Simplify (+ 0 1) into 1
106.957 * [backup-simplify]: Simplify (+ 1 0) into 1
106.958 * [taylor]: Taking taylor expansion of 1 in K
106.958 * [backup-simplify]: Simplify 1 into 1
106.958 * [taylor]: Taking taylor expansion of 1 in J
106.958 * [backup-simplify]: Simplify 1 into 1
106.958 * [backup-simplify]: Simplify (+ 0 0) into 0
106.958 * [backup-simplify]: Simplify (+ 0 0) into 0
106.958 * [taylor]: Taking taylor expansion of 0 in K
106.958 * [backup-simplify]: Simplify 0 into 0
106.958 * [taylor]: Taking taylor expansion of 0 in J
106.959 * [backup-simplify]: Simplify 0 into 0
106.959 * [taylor]: Taking taylor expansion of 0 in J
106.959 * [backup-simplify]: Simplify 0 into 0
106.959 * [backup-simplify]: Simplify (+ 0 0) into 0
106.959 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
106.959 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))
106.960 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))
106.960 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in K
106.960 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
106.960 * [taylor]: Taking taylor expansion of 1/4 in K
106.960 * [backup-simplify]: Simplify 1/4 into 1/4
106.960 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
106.960 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
106.960 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
106.960 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
106.960 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
106.960 * [taylor]: Taking taylor expansion of 1/2 in K
106.960 * [backup-simplify]: Simplify 1/2 into 1/2
106.960 * [taylor]: Taking taylor expansion of K in K
106.960 * [backup-simplify]: Simplify 0 into 0
106.960 * [backup-simplify]: Simplify 1 into 1
106.965 * [backup-simplify]: Simplify (* 1/2 0) into 0
106.966 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
106.966 * [taylor]: Taking taylor expansion of (pow J 2) in K
106.966 * [taylor]: Taking taylor expansion of J in K
106.966 * [backup-simplify]: Simplify J into J
106.967 * [backup-simplify]: Simplify (* 1 1) into 1
106.967 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.967 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
106.967 * [backup-simplify]: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2))
106.967 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow J 2))) into (/ 1/4 (pow J 2))
106.967 * [backup-simplify]: Simplify (- (/ 1/4 (pow J 2))) into (- (* 1/4 (/ 1 (pow J 2))))
106.967 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (pow J 2)))) in J
106.967 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow J 2))) in J
106.967 * [taylor]: Taking taylor expansion of 1/4 in J
106.967 * [backup-simplify]: Simplify 1/4 into 1/4
106.967 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J
106.967 * [taylor]: Taking taylor expansion of (pow J 2) in J
106.967 * [taylor]: Taking taylor expansion of J in J
106.967 * [backup-simplify]: Simplify 0 into 0
106.967 * [backup-simplify]: Simplify 1 into 1
106.968 * [backup-simplify]: Simplify (* 1 1) into 1
106.968 * [backup-simplify]: Simplify (/ 1 1) into 1
106.968 * [taylor]: Taking taylor expansion of 0 in J
106.968 * [backup-simplify]: Simplify 0 into 0
106.968 * [taylor]: Taking taylor expansion of 0 in J
106.968 * [backup-simplify]: Simplify 0 into 0
106.969 * [backup-simplify]: Simplify (+ 0 0) into 0
106.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.969 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
106.970 * [backup-simplify]: Simplify (+ 0) into 0
106.970 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
106.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
106.972 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
106.972 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
106.972 * [backup-simplify]: Simplify (- 0) into 0
106.973 * [backup-simplify]: Simplify (+ 0 0) into 0
106.973 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
106.973 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
106.974 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
106.974 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
106.975 * [backup-simplify]: Simplify (- 0) into 0
106.975 * [backup-simplify]: Simplify (+ 0 0) into 0
106.975 * [taylor]: Taking taylor expansion of 0 in K
106.975 * [backup-simplify]: Simplify 0 into 0
106.975 * [taylor]: Taking taylor expansion of 0 in J
106.975 * [backup-simplify]: Simplify 0 into 0
106.975 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
106.976 * [backup-simplify]: Simplify (+ 0) into 0
106.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
106.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
106.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow J 2)) (/ 0 (pow J 2))))) into 0
106.978 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow J 2)))) into 0
106.978 * [backup-simplify]: Simplify (- 0) into 0
106.978 * [taylor]: Taking taylor expansion of 0 in J
106.978 * [backup-simplify]: Simplify 0 into 0
106.978 * [taylor]: Taking taylor expansion of 0 in J
106.978 * [backup-simplify]: Simplify 0 into 0
106.978 * [taylor]: Taking taylor expansion of 0 in J
106.978 * [backup-simplify]: Simplify 0 into 0
106.978 * [backup-simplify]: Simplify (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) into (/ 1/16 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))
106.979 * [backup-simplify]: Simplify (+ (/ 1/16 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) 0) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))))
106.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
106.980 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
106.981 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
106.982 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
106.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
106.984 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
106.985 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
106.985 * [backup-simplify]: Simplify (- 0) into 0
106.985 * [backup-simplify]: Simplify (+ 0 0) into 0
106.986 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
106.987 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
106.987 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
106.988 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
106.989 * [backup-simplify]: Simplify (- 0) into 0
106.989 * [backup-simplify]: Simplify (+ (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 0) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))))
106.989 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in K
106.989 * [taylor]: Taking taylor expansion of 1/16 in K
106.989 * [backup-simplify]: Simplify 1/16 into 1/16
106.989 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in K
106.989 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in K
106.989 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in K
106.989 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
106.989 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
106.989 * [taylor]: Taking taylor expansion of 1/2 in K
106.989 * [backup-simplify]: Simplify 1/2 into 1/2
106.989 * [taylor]: Taking taylor expansion of K in K
106.989 * [backup-simplify]: Simplify 0 into 0
106.989 * [backup-simplify]: Simplify 1 into 1
106.990 * [backup-simplify]: Simplify (* 1/2 0) into 0
106.991 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
106.991 * [taylor]: Taking taylor expansion of (pow J 4) in K
106.991 * [taylor]: Taking taylor expansion of J in K
106.991 * [backup-simplify]: Simplify J into J
106.991 * [backup-simplify]: Simplify (* 1 1) into 1
106.991 * [backup-simplify]: Simplify (* 1 1) into 1
106.991 * [backup-simplify]: Simplify (* J J) into (pow J 2)
106.992 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
106.992 * [backup-simplify]: Simplify (* 1 (pow J 4)) into (pow J 4)
106.992 * [backup-simplify]: Simplify (/ 1 (pow J 4)) into (/ 1 (pow J 4))
106.992 * [backup-simplify]: Simplify (* 1/16 (/ 1 (pow J 4))) into (/ 1/16 (pow J 4))
106.992 * [taylor]: Taking taylor expansion of (/ 1/16 (pow J 4)) in J
106.992 * [taylor]: Taking taylor expansion of 1/16 in J
106.992 * [backup-simplify]: Simplify 1/16 into 1/16
106.992 * [taylor]: Taking taylor expansion of (pow J 4) in J
106.992 * [taylor]: Taking taylor expansion of J in J
106.992 * [backup-simplify]: Simplify 0 into 0
106.992 * [backup-simplify]: Simplify 1 into 1
106.992 * [backup-simplify]: Simplify (* 1 1) into 1
106.993 * [backup-simplify]: Simplify (* 1 1) into 1
106.993 * [backup-simplify]: Simplify (/ 1/16 1) into 1/16
106.993 * [backup-simplify]: Simplify 1/16 into 1/16
106.993 * [taylor]: Taking taylor expansion of 0 in J
106.993 * [backup-simplify]: Simplify 0 into 0
106.994 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
106.995 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
106.996 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4
106.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (pow J 2)))) into (- (* 1/4 (pow J 2)))
106.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow J 2)) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/4 (/ 1 (pow J 2)))
106.998 * [backup-simplify]: Simplify (+ (* 1/4 (* 1/4 (/ 1 (pow J 2)))) (+ (* 0 0) (* 0 (/ 1 (pow J 2))))) into (* 1/16 (/ 1 (pow J 2)))
106.998 * [backup-simplify]: Simplify (- (* 1/16 (/ 1 (pow J 2)))) into (- (* 1/16 (/ 1 (pow J 2))))
106.998 * [taylor]: Taking taylor expansion of (- (* 1/16 (/ 1 (pow J 2)))) in J
106.998 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (pow J 2))) in J
106.998 * [taylor]: Taking taylor expansion of 1/16 in J
106.998 * [backup-simplify]: Simplify 1/16 into 1/16
106.998 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J
106.998 * [taylor]: Taking taylor expansion of (pow J 2) in J
106.998 * [taylor]: Taking taylor expansion of J in J
106.998 * [backup-simplify]: Simplify 0 into 0
106.998 * [backup-simplify]: Simplify 1 into 1
106.998 * [backup-simplify]: Simplify (* 1 1) into 1
106.999 * [backup-simplify]: Simplify (/ 1 1) into 1
106.999 * [taylor]: Taking taylor expansion of 0 in J
106.999 * [backup-simplify]: Simplify 0 into 0
106.999 * [taylor]: Taking taylor expansion of 0 in J
106.999 * [backup-simplify]: Simplify 0 into 0
106.999 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
107.000 * [backup-simplify]: Simplify (- 1/4) into -1/4
107.000 * [backup-simplify]: Simplify -1/4 into -1/4
107.000 * [backup-simplify]: Simplify 1 into 1
107.000 * [backup-simplify]: Simplify (+ 1 (+ (* -1/4 (pow (* (/ 1 J) (* 1 U)) 2)) (* 1/16 (pow (* (/ 1 J) (* 1 U)) 4)))) into (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2))))
107.002 * [backup-simplify]: Simplify (+ (* (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))))) (- (* 1 1) (* (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1))) into (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))
107.002 * [approximate]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in (U K J) around 0
107.002 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in J
107.003 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in J
107.003 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in J
107.003 * [taylor]: Taking taylor expansion of 1/16 in J
107.003 * [backup-simplify]: Simplify 1/16 into 1/16
107.003 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in J
107.003 * [taylor]: Taking taylor expansion of (pow J 4) in J
107.003 * [taylor]: Taking taylor expansion of J in J
107.003 * [backup-simplify]: Simplify 0 into 0
107.003 * [backup-simplify]: Simplify 1 into 1
107.003 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in J
107.003 * [taylor]: Taking taylor expansion of (pow U 4) in J
107.003 * [taylor]: Taking taylor expansion of U in J
107.003 * [backup-simplify]: Simplify U into U
107.003 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in J
107.003 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
107.003 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
107.003 * [taylor]: Taking taylor expansion of 1/2 in J
107.003 * [backup-simplify]: Simplify 1/2 into 1/2
107.003 * [taylor]: Taking taylor expansion of K in J
107.003 * [backup-simplify]: Simplify K into K
107.003 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
107.003 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
107.003 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
107.003 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
107.003 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
107.004 * [backup-simplify]: Simplify (- 0) into 0
107.004 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
107.004 * [backup-simplify]: Simplify (* 1 1) into 1
107.005 * [backup-simplify]: Simplify (* 1 1) into 1
107.005 * [backup-simplify]: Simplify (* U U) into (pow U 2)
107.005 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
107.005 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
107.005 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
107.005 * [backup-simplify]: Simplify (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) into (* (pow U 4) (pow (cos (/ 1/2 K)) 4))
107.005 * [backup-simplify]: Simplify (/ 1 (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) into (/ 1 (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))
107.006 * [taylor]: Taking taylor expansion of 1 in J
107.006 * [backup-simplify]: Simplify 1 into 1
107.006 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
107.006 * [taylor]: Taking taylor expansion of 1/4 in J
107.006 * [backup-simplify]: Simplify 1/4 into 1/4
107.006 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
107.006 * [taylor]: Taking taylor expansion of (pow J 2) in J
107.006 * [taylor]: Taking taylor expansion of J in J
107.006 * [backup-simplify]: Simplify 0 into 0
107.006 * [backup-simplify]: Simplify 1 into 1
107.006 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
107.006 * [taylor]: Taking taylor expansion of (pow U 2) in J
107.006 * [taylor]: Taking taylor expansion of U in J
107.006 * [backup-simplify]: Simplify U into U
107.006 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
107.006 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
107.006 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
107.006 * [taylor]: Taking taylor expansion of 1/2 in J
107.006 * [backup-simplify]: Simplify 1/2 into 1/2
107.006 * [taylor]: Taking taylor expansion of K in J
107.006 * [backup-simplify]: Simplify K into K
107.006 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
107.006 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
107.006 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
107.006 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
107.006 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
107.007 * [backup-simplify]: Simplify (- 0) into 0
107.007 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
107.007 * [backup-simplify]: Simplify (* 1 1) into 1
107.007 * [backup-simplify]: Simplify (* U U) into (pow U 2)
107.007 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
107.008 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
107.008 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
107.008 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in K
107.008 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in K
107.008 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in K
107.008 * [taylor]: Taking taylor expansion of 1/16 in K
107.008 * [backup-simplify]: Simplify 1/16 into 1/16
107.008 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in K
107.008 * [taylor]: Taking taylor expansion of (pow J 4) in K
107.008 * [taylor]: Taking taylor expansion of J in K
107.008 * [backup-simplify]: Simplify J into J
107.008 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in K
107.008 * [taylor]: Taking taylor expansion of (pow U 4) in K
107.008 * [taylor]: Taking taylor expansion of U in K
107.008 * [backup-simplify]: Simplify U into U
107.008 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in K
107.008 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
107.008 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
107.008 * [taylor]: Taking taylor expansion of 1/2 in K
107.008 * [backup-simplify]: Simplify 1/2 into 1/2
107.008 * [taylor]: Taking taylor expansion of K in K
107.008 * [backup-simplify]: Simplify 0 into 0
107.008 * [backup-simplify]: Simplify 1 into 1
107.009 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
107.009 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
107.009 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.009 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
107.009 * [backup-simplify]: Simplify (* U U) into (pow U 2)
107.009 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
107.009 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
107.010 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
107.010 * [backup-simplify]: Simplify (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) into (* (pow U 4) (pow (cos (/ 1/2 K)) 4))
107.010 * [backup-simplify]: Simplify (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) into (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))
107.010 * [taylor]: Taking taylor expansion of 1 in K
107.010 * [backup-simplify]: Simplify 1 into 1
107.010 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
107.010 * [taylor]: Taking taylor expansion of 1/4 in K
107.010 * [backup-simplify]: Simplify 1/4 into 1/4
107.010 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
107.010 * [taylor]: Taking taylor expansion of (pow J 2) in K
107.010 * [taylor]: Taking taylor expansion of J in K
107.010 * [backup-simplify]: Simplify J into J
107.010 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
107.010 * [taylor]: Taking taylor expansion of (pow U 2) in K
107.010 * [taylor]: Taking taylor expansion of U in K
107.010 * [backup-simplify]: Simplify U into U
107.010 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
107.010 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
107.010 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
107.010 * [taylor]: Taking taylor expansion of 1/2 in K
107.010 * [backup-simplify]: Simplify 1/2 into 1/2
107.010 * [taylor]: Taking taylor expansion of K in K
107.010 * [backup-simplify]: Simplify 0 into 0
107.010 * [backup-simplify]: Simplify 1 into 1
107.011 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
107.011 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
107.011 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.011 * [backup-simplify]: Simplify (* U U) into (pow U 2)
107.011 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
107.011 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
107.012 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
107.012 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in U
107.012 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in U
107.012 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in U
107.012 * [taylor]: Taking taylor expansion of 1/16 in U
107.012 * [backup-simplify]: Simplify 1/16 into 1/16
107.012 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in U
107.012 * [taylor]: Taking taylor expansion of (pow J 4) in U
107.012 * [taylor]: Taking taylor expansion of J in U
107.012 * [backup-simplify]: Simplify J into J
107.012 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in U
107.012 * [taylor]: Taking taylor expansion of (pow U 4) in U
107.012 * [taylor]: Taking taylor expansion of U in U
107.012 * [backup-simplify]: Simplify 0 into 0
107.012 * [backup-simplify]: Simplify 1 into 1
107.012 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in U
107.012 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
107.012 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
107.012 * [taylor]: Taking taylor expansion of 1/2 in U
107.012 * [backup-simplify]: Simplify 1/2 into 1/2
107.012 * [taylor]: Taking taylor expansion of K in U
107.012 * [backup-simplify]: Simplify K into K
107.012 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
107.012 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
107.012 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
107.012 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
107.012 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
107.013 * [backup-simplify]: Simplify (- 0) into 0
107.013 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
107.013 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.013 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
107.014 * [backup-simplify]: Simplify (* 1 1) into 1
107.014 * [backup-simplify]: Simplify (* 1 1) into 1
107.014 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
107.014 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
107.014 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 4)) into (pow (cos (/ 1/2 K)) 4)
107.015 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))
107.015 * [taylor]: Taking taylor expansion of 1 in U
107.015 * [backup-simplify]: Simplify 1 into 1
107.015 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
107.015 * [taylor]: Taking taylor expansion of 1/4 in U
107.015 * [backup-simplify]: Simplify 1/4 into 1/4
107.015 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
107.015 * [taylor]: Taking taylor expansion of (pow J 2) in U
107.015 * [taylor]: Taking taylor expansion of J in U
107.015 * [backup-simplify]: Simplify J into J
107.015 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
107.015 * [taylor]: Taking taylor expansion of (pow U 2) in U
107.015 * [taylor]: Taking taylor expansion of U in U
107.015 * [backup-simplify]: Simplify 0 into 0
107.015 * [backup-simplify]: Simplify 1 into 1
107.015 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
107.015 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
107.015 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
107.015 * [taylor]: Taking taylor expansion of 1/2 in U
107.015 * [backup-simplify]: Simplify 1/2 into 1/2
107.015 * [taylor]: Taking taylor expansion of K in U
107.015 * [backup-simplify]: Simplify K into K
107.015 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
107.015 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
107.015 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
107.015 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
107.015 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
107.016 * [backup-simplify]: Simplify (- 0) into 0
107.016 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
107.016 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.017 * [backup-simplify]: Simplify (* 1 1) into 1
107.017 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
107.017 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
107.017 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
107.017 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in U
107.017 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in U
107.017 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in U
107.017 * [taylor]: Taking taylor expansion of 1/16 in U
107.017 * [backup-simplify]: Simplify 1/16 into 1/16
107.017 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in U
107.017 * [taylor]: Taking taylor expansion of (pow J 4) in U
107.017 * [taylor]: Taking taylor expansion of J in U
107.017 * [backup-simplify]: Simplify J into J
107.017 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in U
107.017 * [taylor]: Taking taylor expansion of (pow U 4) in U
107.017 * [taylor]: Taking taylor expansion of U in U
107.017 * [backup-simplify]: Simplify 0 into 0
107.017 * [backup-simplify]: Simplify 1 into 1
107.017 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in U
107.018 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
107.018 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
107.018 * [taylor]: Taking taylor expansion of 1/2 in U
107.018 * [backup-simplify]: Simplify 1/2 into 1/2
107.018 * [taylor]: Taking taylor expansion of K in U
107.018 * [backup-simplify]: Simplify K into K
107.018 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
107.018 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
107.018 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
107.018 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
107.018 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
107.018 * [backup-simplify]: Simplify (- 0) into 0
107.018 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
107.019 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.019 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
107.019 * [backup-simplify]: Simplify (* 1 1) into 1
107.019 * [backup-simplify]: Simplify (* 1 1) into 1
107.020 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
107.020 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
107.020 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 4)) into (pow (cos (/ 1/2 K)) 4)
107.020 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))
107.020 * [taylor]: Taking taylor expansion of 1 in U
107.020 * [backup-simplify]: Simplify 1 into 1
107.020 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
107.020 * [taylor]: Taking taylor expansion of 1/4 in U
107.020 * [backup-simplify]: Simplify 1/4 into 1/4
107.020 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
107.020 * [taylor]: Taking taylor expansion of (pow J 2) in U
107.020 * [taylor]: Taking taylor expansion of J in U
107.020 * [backup-simplify]: Simplify J into J
107.020 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
107.020 * [taylor]: Taking taylor expansion of (pow U 2) in U
107.020 * [taylor]: Taking taylor expansion of U in U
107.020 * [backup-simplify]: Simplify 0 into 0
107.020 * [backup-simplify]: Simplify 1 into 1
107.020 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
107.020 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
107.020 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
107.020 * [taylor]: Taking taylor expansion of 1/2 in U
107.020 * [backup-simplify]: Simplify 1/2 into 1/2
107.020 * [taylor]: Taking taylor expansion of K in U
107.020 * [backup-simplify]: Simplify K into K
107.021 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
107.021 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
107.021 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
107.021 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
107.021 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
107.021 * [backup-simplify]: Simplify (- 0) into 0
107.021 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
107.021 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.022 * [backup-simplify]: Simplify (* 1 1) into 1
107.022 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
107.022 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
107.022 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
107.022 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
107.023 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
107.023 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
107.023 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) in K
107.023 * [taylor]: Taking taylor expansion of 1/16 in K
107.023 * [backup-simplify]: Simplify 1/16 into 1/16
107.023 * [taylor]: Taking taylor expansion of (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) in K
107.023 * [taylor]: Taking taylor expansion of (pow J 4) in K
107.023 * [taylor]: Taking taylor expansion of J in K
107.023 * [backup-simplify]: Simplify J into J
107.023 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in K
107.023 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
107.023 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
107.023 * [taylor]: Taking taylor expansion of 1/2 in K
107.023 * [backup-simplify]: Simplify 1/2 into 1/2
107.023 * [taylor]: Taking taylor expansion of K in K
107.023 * [backup-simplify]: Simplify 0 into 0
107.023 * [backup-simplify]: Simplify 1 into 1
107.024 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
107.024 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
107.024 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.024 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
107.024 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
107.024 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
107.025 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))
107.025 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
107.025 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) in J
107.025 * [taylor]: Taking taylor expansion of 1/16 in J
107.025 * [backup-simplify]: Simplify 1/16 into 1/16
107.025 * [taylor]: Taking taylor expansion of (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) in J
107.025 * [taylor]: Taking taylor expansion of (pow J 4) in J
107.025 * [taylor]: Taking taylor expansion of J in J
107.025 * [backup-simplify]: Simplify 0 into 0
107.025 * [backup-simplify]: Simplify 1 into 1
107.025 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in J
107.025 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
107.025 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
107.025 * [taylor]: Taking taylor expansion of 1/2 in J
107.025 * [backup-simplify]: Simplify 1/2 into 1/2
107.025 * [taylor]: Taking taylor expansion of K in J
107.025 * [backup-simplify]: Simplify K into K
107.025 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
107.025 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
107.025 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
107.025 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
107.026 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
107.026 * [backup-simplify]: Simplify (- 0) into 0
107.026 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
107.027 * [backup-simplify]: Simplify (* 1 1) into 1
107.027 * [backup-simplify]: Simplify (* 1 1) into 1
107.027 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
107.027 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
107.027 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 4)) into (/ 1 (pow (cos (/ 1/2 K)) 4))
107.028 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
107.028 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
107.028 * [backup-simplify]: Simplify (+ 0) into 0
107.029 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
107.029 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
107.030 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
107.030 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
107.031 * [backup-simplify]: Simplify (- 0) into 0
107.031 * [backup-simplify]: Simplify (+ 0 0) into 0
107.031 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
107.031 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
107.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 4))) into 0
107.034 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
107.034 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) into 0
107.035 * [backup-simplify]: Simplify (+ 0 0) into 0
107.035 * [backup-simplify]: Simplify (+ 0 0) into 0
107.035 * [taylor]: Taking taylor expansion of 0 in K
107.035 * [backup-simplify]: Simplify 0 into 0
107.035 * [taylor]: Taking taylor expansion of 0 in J
107.035 * [backup-simplify]: Simplify 0 into 0
107.035 * [backup-simplify]: Simplify 0 into 0
107.035 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
107.035 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
107.035 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
107.036 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
107.036 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
107.037 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) into 0
107.037 * [taylor]: Taking taylor expansion of 0 in J
107.037 * [backup-simplify]: Simplify 0 into 0
107.037 * [backup-simplify]: Simplify 0 into 0
107.037 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
107.038 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
107.039 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
107.039 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
107.040 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
107.041 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
107.041 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
107.041 * [backup-simplify]: Simplify (- 0) into 0
107.042 * [backup-simplify]: Simplify (+ 0 0) into 0
107.042 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
107.043 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
107.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
107.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
107.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 4)))) into 0
107.046 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
107.047 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))) into 0
107.048 * [backup-simplify]: Simplify (+ 0 0) into 0
107.048 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
107.048 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))
107.049 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))
107.049 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K
107.049 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K
107.049 * [taylor]: Taking taylor expansion of 1/4 in K
107.049 * [backup-simplify]: Simplify 1/4 into 1/4
107.049 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K
107.049 * [taylor]: Taking taylor expansion of (pow J 2) in K
107.049 * [taylor]: Taking taylor expansion of J in K
107.049 * [backup-simplify]: Simplify J into J
107.049 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
107.049 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
107.049 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
107.049 * [taylor]: Taking taylor expansion of 1/2 in K
107.049 * [backup-simplify]: Simplify 1/2 into 1/2
107.049 * [taylor]: Taking taylor expansion of K in K
107.049 * [backup-simplify]: Simplify 0 into 0
107.049 * [backup-simplify]: Simplify 1 into 1
107.049 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
107.049 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
107.050 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.050 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
107.050 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
107.050 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
107.050 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))
107.050 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J
107.050 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J
107.050 * [taylor]: Taking taylor expansion of 1/4 in J
107.050 * [backup-simplify]: Simplify 1/4 into 1/4
107.050 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J
107.050 * [taylor]: Taking taylor expansion of (pow J 2) in J
107.051 * [taylor]: Taking taylor expansion of J in J
107.051 * [backup-simplify]: Simplify 0 into 0
107.051 * [backup-simplify]: Simplify 1 into 1
107.051 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
107.051 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
107.051 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
107.051 * [taylor]: Taking taylor expansion of 1/2 in J
107.051 * [backup-simplify]: Simplify 1/2 into 1/2
107.051 * [taylor]: Taking taylor expansion of K in J
107.051 * [backup-simplify]: Simplify K into K
107.051 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
107.051 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
107.051 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
107.051 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
107.051 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
107.052 * [backup-simplify]: Simplify (- 0) into 0
107.052 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
107.052 * [backup-simplify]: Simplify (* 1 1) into 1
107.052 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
107.052 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2))
107.052 * [taylor]: Taking taylor expansion of 0 in J
107.052 * [backup-simplify]: Simplify 0 into 0
107.052 * [backup-simplify]: Simplify 0 into 0
107.053 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
107.053 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
107.054 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
107.054 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
107.055 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
107.056 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))) into 0
107.056 * [taylor]: Taking taylor expansion of 0 in J
107.056 * [backup-simplify]: Simplify 0 into 0
107.056 * [backup-simplify]: Simplify 0 into 0
107.056 * [backup-simplify]: Simplify 0 into 0
107.056 * [backup-simplify]: Simplify 0 into 0
107.056 * [backup-simplify]: Simplify 0 into 0
107.058 * [backup-simplify]: Simplify (+ (* (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))))) (- (* 1 1) (* (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1))) into (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
107.058 * [approximate]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in (U K J) around 0
107.058 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
107.059 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in J
107.059 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in J
107.059 * [taylor]: Taking taylor expansion of 1/16 in J
107.059 * [backup-simplify]: Simplify 1/16 into 1/16
107.059 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in J
107.059 * [taylor]: Taking taylor expansion of (pow J 4) in J
107.059 * [taylor]: Taking taylor expansion of J in J
107.059 * [backup-simplify]: Simplify 0 into 0
107.059 * [backup-simplify]: Simplify 1 into 1
107.059 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in J
107.059 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in J
107.059 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
107.059 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
107.059 * [taylor]: Taking taylor expansion of -1/2 in J
107.059 * [backup-simplify]: Simplify -1/2 into -1/2
107.059 * [taylor]: Taking taylor expansion of K in J
107.059 * [backup-simplify]: Simplify K into K
107.059 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
107.059 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
107.059 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
107.059 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
107.059 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
107.060 * [backup-simplify]: Simplify (- 0) into 0
107.060 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
107.060 * [taylor]: Taking taylor expansion of (pow U 4) in J
107.060 * [taylor]: Taking taylor expansion of U in J
107.060 * [backup-simplify]: Simplify U into U
107.060 * [backup-simplify]: Simplify (* 1 1) into 1
107.061 * [backup-simplify]: Simplify (* 1 1) into 1
107.061 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
107.061 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
107.061 * [backup-simplify]: Simplify (* U U) into (pow U 2)
107.061 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
107.061 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) into (* (pow (cos (/ -1/2 K)) 4) (pow U 4))
107.062 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) into (/ 1 (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))
107.062 * [taylor]: Taking taylor expansion of 1 in J
107.062 * [backup-simplify]: Simplify 1 into 1
107.062 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
107.062 * [taylor]: Taking taylor expansion of 1/4 in J
107.062 * [backup-simplify]: Simplify 1/4 into 1/4
107.062 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
107.062 * [taylor]: Taking taylor expansion of (pow J 2) in J
107.062 * [taylor]: Taking taylor expansion of J in J
107.062 * [backup-simplify]: Simplify 0 into 0
107.062 * [backup-simplify]: Simplify 1 into 1
107.062 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
107.062 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
107.062 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
107.062 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
107.062 * [taylor]: Taking taylor expansion of -1/2 in J
107.062 * [backup-simplify]: Simplify -1/2 into -1/2
107.062 * [taylor]: Taking taylor expansion of K in J
107.062 * [backup-simplify]: Simplify K into K
107.062 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
107.062 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
107.062 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
107.062 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
107.062 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
107.063 * [backup-simplify]: Simplify (- 0) into 0
107.063 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
107.063 * [taylor]: Taking taylor expansion of (pow U 2) in J
107.063 * [taylor]: Taking taylor expansion of U in J
107.063 * [backup-simplify]: Simplify U into U
107.063 * [backup-simplify]: Simplify (* 1 1) into 1
107.063 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
107.063 * [backup-simplify]: Simplify (* U U) into (pow U 2)
107.063 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
107.063 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
107.063 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
107.064 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in K
107.064 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in K
107.064 * [taylor]: Taking taylor expansion of 1/16 in K
107.064 * [backup-simplify]: Simplify 1/16 into 1/16
107.064 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in K
107.064 * [taylor]: Taking taylor expansion of (pow J 4) in K
107.064 * [taylor]: Taking taylor expansion of J in K
107.064 * [backup-simplify]: Simplify J into J
107.064 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in K
107.064 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in K
107.064 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
107.064 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
107.064 * [taylor]: Taking taylor expansion of -1/2 in K
107.064 * [backup-simplify]: Simplify -1/2 into -1/2
107.064 * [taylor]: Taking taylor expansion of K in K
107.064 * [backup-simplify]: Simplify 0 into 0
107.064 * [backup-simplify]: Simplify 1 into 1
107.064 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
107.064 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
107.064 * [taylor]: Taking taylor expansion of (pow U 4) in K
107.064 * [taylor]: Taking taylor expansion of U in K
107.064 * [backup-simplify]: Simplify U into U
107.064 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.064 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
107.064 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
107.065 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
107.065 * [backup-simplify]: Simplify (* U U) into (pow U 2)
107.065 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
107.065 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) into (* (pow (cos (/ -1/2 K)) 4) (pow U 4))
107.065 * [backup-simplify]: Simplify (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) into (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))
107.065 * [taylor]: Taking taylor expansion of 1 in K
107.065 * [backup-simplify]: Simplify 1 into 1
107.065 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
107.065 * [taylor]: Taking taylor expansion of 1/4 in K
107.065 * [backup-simplify]: Simplify 1/4 into 1/4
107.065 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
107.065 * [taylor]: Taking taylor expansion of (pow J 2) in K
107.065 * [taylor]: Taking taylor expansion of J in K
107.065 * [backup-simplify]: Simplify J into J
107.065 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
107.065 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
107.065 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
107.065 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
107.065 * [taylor]: Taking taylor expansion of -1/2 in K
107.065 * [backup-simplify]: Simplify -1/2 into -1/2
107.065 * [taylor]: Taking taylor expansion of K in K
107.065 * [backup-simplify]: Simplify 0 into 0
107.065 * [backup-simplify]: Simplify 1 into 1
107.066 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
107.066 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
107.066 * [taylor]: Taking taylor expansion of (pow U 2) in K
107.066 * [taylor]: Taking taylor expansion of U in K
107.066 * [backup-simplify]: Simplify U into U
107.066 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.066 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
107.066 * [backup-simplify]: Simplify (* U U) into (pow U 2)
107.066 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
107.066 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
107.066 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
107.066 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in U
107.066 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in U
107.066 * [taylor]: Taking taylor expansion of 1/16 in U
107.066 * [backup-simplify]: Simplify 1/16 into 1/16
107.066 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in U
107.066 * [taylor]: Taking taylor expansion of (pow J 4) in U
107.066 * [taylor]: Taking taylor expansion of J in U
107.066 * [backup-simplify]: Simplify J into J
107.066 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in U
107.066 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in U
107.066 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
107.066 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
107.066 * [taylor]: Taking taylor expansion of -1/2 in U
107.066 * [backup-simplify]: Simplify -1/2 into -1/2
107.066 * [taylor]: Taking taylor expansion of K in U
107.066 * [backup-simplify]: Simplify K into K
107.066 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
107.066 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
107.066 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
107.066 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
107.066 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
107.067 * [backup-simplify]: Simplify (- 0) into 0
107.067 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
107.067 * [taylor]: Taking taylor expansion of (pow U 4) in U
107.067 * [taylor]: Taking taylor expansion of U in U
107.067 * [backup-simplify]: Simplify 0 into 0
107.067 * [backup-simplify]: Simplify 1 into 1
107.067 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.067 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
107.067 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
107.067 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
107.067 * [backup-simplify]: Simplify (* 1 1) into 1
107.068 * [backup-simplify]: Simplify (* 1 1) into 1
107.068 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) 1) into (pow (cos (/ -1/2 K)) 4)
107.068 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))
107.068 * [taylor]: Taking taylor expansion of 1 in U
107.068 * [backup-simplify]: Simplify 1 into 1
107.068 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
107.068 * [taylor]: Taking taylor expansion of 1/4 in U
107.068 * [backup-simplify]: Simplify 1/4 into 1/4
107.068 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
107.068 * [taylor]: Taking taylor expansion of (pow J 2) in U
107.068 * [taylor]: Taking taylor expansion of J in U
107.068 * [backup-simplify]: Simplify J into J
107.068 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
107.068 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
107.068 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
107.068 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
107.068 * [taylor]: Taking taylor expansion of -1/2 in U
107.068 * [backup-simplify]: Simplify -1/2 into -1/2
107.068 * [taylor]: Taking taylor expansion of K in U
107.068 * [backup-simplify]: Simplify K into K
107.068 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
107.068 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
107.068 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
107.068 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
107.068 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
107.069 * [backup-simplify]: Simplify (- 0) into 0
107.069 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
107.069 * [taylor]: Taking taylor expansion of (pow U 2) in U
107.069 * [taylor]: Taking taylor expansion of U in U
107.069 * [backup-simplify]: Simplify 0 into 0
107.069 * [backup-simplify]: Simplify 1 into 1
107.069 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.069 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
107.069 * [backup-simplify]: Simplify (* 1 1) into 1
107.069 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
107.069 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
107.069 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
107.069 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in U
107.069 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in U
107.069 * [taylor]: Taking taylor expansion of 1/16 in U
107.069 * [backup-simplify]: Simplify 1/16 into 1/16
107.069 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in U
107.069 * [taylor]: Taking taylor expansion of (pow J 4) in U
107.069 * [taylor]: Taking taylor expansion of J in U
107.069 * [backup-simplify]: Simplify J into J
107.069 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in U
107.069 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in U
107.069 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
107.069 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
107.069 * [taylor]: Taking taylor expansion of -1/2 in U
107.069 * [backup-simplify]: Simplify -1/2 into -1/2
107.069 * [taylor]: Taking taylor expansion of K in U
107.069 * [backup-simplify]: Simplify K into K
107.070 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
107.070 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
107.070 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
107.070 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
107.070 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
107.070 * [backup-simplify]: Simplify (- 0) into 0
107.070 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
107.070 * [taylor]: Taking taylor expansion of (pow U 4) in U
107.070 * [taylor]: Taking taylor expansion of U in U
107.070 * [backup-simplify]: Simplify 0 into 0
107.070 * [backup-simplify]: Simplify 1 into 1
107.070 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.070 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
107.070 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
107.070 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
107.071 * [backup-simplify]: Simplify (* 1 1) into 1
107.071 * [backup-simplify]: Simplify (* 1 1) into 1
107.071 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) 1) into (pow (cos (/ -1/2 K)) 4)
107.071 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))
107.071 * [taylor]: Taking taylor expansion of 1 in U
107.071 * [backup-simplify]: Simplify 1 into 1
107.071 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
107.071 * [taylor]: Taking taylor expansion of 1/4 in U
107.071 * [backup-simplify]: Simplify 1/4 into 1/4
107.071 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
107.071 * [taylor]: Taking taylor expansion of (pow J 2) in U
107.071 * [taylor]: Taking taylor expansion of J in U
107.071 * [backup-simplify]: Simplify J into J
107.071 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
107.071 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
107.071 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
107.071 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
107.071 * [taylor]: Taking taylor expansion of -1/2 in U
107.071 * [backup-simplify]: Simplify -1/2 into -1/2
107.071 * [taylor]: Taking taylor expansion of K in U
107.071 * [backup-simplify]: Simplify K into K
107.071 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
107.071 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
107.071 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
107.071 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
107.071 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
107.072 * [backup-simplify]: Simplify (- 0) into 0
107.072 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
107.072 * [taylor]: Taking taylor expansion of (pow U 2) in U
107.072 * [taylor]: Taking taylor expansion of U in U
107.072 * [backup-simplify]: Simplify 0 into 0
107.072 * [backup-simplify]: Simplify 1 into 1
107.072 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.072 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
107.072 * [backup-simplify]: Simplify (* 1 1) into 1
107.072 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
107.072 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
107.073 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
107.073 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
107.073 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
107.073 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) in K
107.073 * [taylor]: Taking taylor expansion of 1/16 in K
107.073 * [backup-simplify]: Simplify 1/16 into 1/16
107.073 * [taylor]: Taking taylor expansion of (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) in K
107.073 * [taylor]: Taking taylor expansion of (pow J 4) in K
107.073 * [taylor]: Taking taylor expansion of J in K
107.073 * [backup-simplify]: Simplify J into J
107.073 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in K
107.073 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
107.073 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
107.073 * [taylor]: Taking taylor expansion of -1/2 in K
107.073 * [backup-simplify]: Simplify -1/2 into -1/2
107.073 * [taylor]: Taking taylor expansion of K in K
107.073 * [backup-simplify]: Simplify 0 into 0
107.073 * [backup-simplify]: Simplify 1 into 1
107.073 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
107.073 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
107.073 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.074 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
107.074 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
107.074 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
107.074 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))
107.074 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
107.074 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) in J
107.074 * [taylor]: Taking taylor expansion of 1/16 in J
107.074 * [backup-simplify]: Simplify 1/16 into 1/16
107.074 * [taylor]: Taking taylor expansion of (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) in J
107.074 * [taylor]: Taking taylor expansion of (pow J 4) in J
107.074 * [taylor]: Taking taylor expansion of J in J
107.074 * [backup-simplify]: Simplify 0 into 0
107.074 * [backup-simplify]: Simplify 1 into 1
107.074 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in J
107.074 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
107.074 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
107.074 * [taylor]: Taking taylor expansion of -1/2 in J
107.074 * [backup-simplify]: Simplify -1/2 into -1/2
107.074 * [taylor]: Taking taylor expansion of K in J
107.074 * [backup-simplify]: Simplify K into K
107.074 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
107.074 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
107.074 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
107.074 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
107.074 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
107.075 * [backup-simplify]: Simplify (- 0) into 0
107.075 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
107.075 * [backup-simplify]: Simplify (* 1 1) into 1
107.075 * [backup-simplify]: Simplify (* 1 1) into 1
107.075 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
107.075 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
107.075 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 4)) into (/ 1 (pow (cos (/ -1/2 K)) 4))
107.076 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
107.076 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
107.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.077 * [backup-simplify]: Simplify (+ 0) into 0
107.077 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
107.077 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
107.078 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
107.078 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
107.078 * [backup-simplify]: Simplify (- 0) into 0
107.078 * [backup-simplify]: Simplify (+ 0 0) into 0
107.078 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
107.079 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
107.079 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (* 0 1)) into 0
107.079 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
107.079 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) into 0
107.080 * [backup-simplify]: Simplify (+ 0 0) into 0
107.080 * [backup-simplify]: Simplify (+ 0 0) into 0
107.080 * [taylor]: Taking taylor expansion of 0 in K
107.080 * [backup-simplify]: Simplify 0 into 0
107.080 * [taylor]: Taking taylor expansion of 0 in J
107.080 * [backup-simplify]: Simplify 0 into 0
107.080 * [backup-simplify]: Simplify 0 into 0
107.080 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
107.080 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
107.080 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
107.080 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
107.081 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
107.081 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) into 0
107.081 * [taylor]: Taking taylor expansion of 0 in J
107.081 * [backup-simplify]: Simplify 0 into 0
107.081 * [backup-simplify]: Simplify 0 into 0
107.081 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
107.082 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
107.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
107.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
107.083 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
107.084 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
107.084 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
107.084 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
107.085 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
107.085 * [backup-simplify]: Simplify (- 0) into 0
107.085 * [backup-simplify]: Simplify (+ 0 0) into 0
107.085 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
107.086 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
107.086 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (+ (* 0 0) (* 0 1))) into 0
107.087 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
107.087 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))) into 0
107.087 * [backup-simplify]: Simplify (+ 0 0) into 0
107.088 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
107.088 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))
107.088 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))
107.088 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K
107.088 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K
107.088 * [taylor]: Taking taylor expansion of 1/4 in K
107.088 * [backup-simplify]: Simplify 1/4 into 1/4
107.088 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K
107.088 * [taylor]: Taking taylor expansion of (pow J 2) in K
107.088 * [taylor]: Taking taylor expansion of J in K
107.088 * [backup-simplify]: Simplify J into J
107.088 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
107.088 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
107.088 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
107.088 * [taylor]: Taking taylor expansion of -1/2 in K
107.088 * [backup-simplify]: Simplify -1/2 into -1/2
107.088 * [taylor]: Taking taylor expansion of K in K
107.088 * [backup-simplify]: Simplify 0 into 0
107.088 * [backup-simplify]: Simplify 1 into 1
107.088 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
107.089 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
107.089 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.089 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
107.089 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
107.089 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
107.089 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))
107.089 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J
107.089 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J
107.089 * [taylor]: Taking taylor expansion of 1/4 in J
107.089 * [backup-simplify]: Simplify 1/4 into 1/4
107.089 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J
107.089 * [taylor]: Taking taylor expansion of (pow J 2) in J
107.089 * [taylor]: Taking taylor expansion of J in J
107.089 * [backup-simplify]: Simplify 0 into 0
107.089 * [backup-simplify]: Simplify 1 into 1
107.089 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
107.089 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
107.089 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
107.089 * [taylor]: Taking taylor expansion of -1/2 in J
107.089 * [backup-simplify]: Simplify -1/2 into -1/2
107.089 * [taylor]: Taking taylor expansion of K in J
107.089 * [backup-simplify]: Simplify K into K
107.089 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
107.089 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
107.089 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
107.089 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
107.089 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
107.090 * [backup-simplify]: Simplify (- 0) into 0
107.090 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
107.090 * [backup-simplify]: Simplify (* 1 1) into 1
107.090 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
107.090 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2))
107.090 * [taylor]: Taking taylor expansion of 0 in J
107.090 * [backup-simplify]: Simplify 0 into 0
107.090 * [backup-simplify]: Simplify 0 into 0
107.091 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
107.091 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
107.091 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
107.092 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
107.092 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
107.092 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))) into 0
107.092 * [taylor]: Taking taylor expansion of 0 in J
107.092 * [backup-simplify]: Simplify 0 into 0
107.092 * [backup-simplify]: Simplify 0 into 0
107.093 * [backup-simplify]: Simplify 0 into 0
107.093 * [backup-simplify]: Simplify 0 into 0
107.093 * [backup-simplify]: Simplify 0 into 0
107.093 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
107.094 * [backup-simplify]: Simplify (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) into (sqrt (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))
107.094 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) in (U K J) around 0
107.094 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) in J
107.094 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in J
107.094 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in J
107.094 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in J
107.094 * [taylor]: Taking taylor expansion of 1/16 in J
107.094 * [backup-simplify]: Simplify 1/16 into 1/16
107.094 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in J
107.094 * [taylor]: Taking taylor expansion of (pow U 4) in J
107.094 * [taylor]: Taking taylor expansion of U in J
107.094 * [backup-simplify]: Simplify U into U
107.094 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in J
107.094 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in J
107.094 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
107.094 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
107.094 * [taylor]: Taking taylor expansion of 1/2 in J
107.094 * [backup-simplify]: Simplify 1/2 into 1/2
107.094 * [taylor]: Taking taylor expansion of K in J
107.094 * [backup-simplify]: Simplify K into K
107.094 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
107.094 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
107.094 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
107.094 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
107.094 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
107.095 * [backup-simplify]: Simplify (- 0) into 0
107.095 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
107.095 * [taylor]: Taking taylor expansion of (pow J 4) in J
107.095 * [taylor]: Taking taylor expansion of J in J
107.095 * [backup-simplify]: Simplify 0 into 0
107.095 * [backup-simplify]: Simplify 1 into 1
107.095 * [backup-simplify]: Simplify (* U U) into (pow U 2)
107.095 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
107.095 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
107.095 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 4)
107.096 * [backup-simplify]: Simplify (* 1 1) into 1
107.096 * [backup-simplify]: Simplify (* 1 1) into 1
107.096 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 4) 1) into (pow (cos (* 1/2 K)) 4)
107.096 * [backup-simplify]: Simplify (/ (pow U 4) (pow (cos (* 1/2 K)) 4)) into (/ (pow U 4) (pow (cos (* 1/2 K)) 4))
107.096 * [taylor]: Taking taylor expansion of 1 in J
107.096 * [backup-simplify]: Simplify 1 into 1
107.096 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
107.096 * [taylor]: Taking taylor expansion of 1/4 in J
107.096 * [backup-simplify]: Simplify 1/4 into 1/4
107.096 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
107.096 * [taylor]: Taking taylor expansion of (pow U 2) in J
107.096 * [taylor]: Taking taylor expansion of U in J
107.096 * [backup-simplify]: Simplify U into U
107.096 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
107.096 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
107.096 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
107.097 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
107.097 * [taylor]: Taking taylor expansion of 1/2 in J
107.097 * [backup-simplify]: Simplify 1/2 into 1/2
107.097 * [taylor]: Taking taylor expansion of K in J
107.097 * [backup-simplify]: Simplify K into K
107.097 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
107.097 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
107.097 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
107.097 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
107.097 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
107.097 * [backup-simplify]: Simplify (- 0) into 0
107.097 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
107.097 * [taylor]: Taking taylor expansion of (pow J 2) in J
107.097 * [taylor]: Taking taylor expansion of J in J
107.098 * [backup-simplify]: Simplify 0 into 0
107.098 * [backup-simplify]: Simplify 1 into 1
107.098 * [backup-simplify]: Simplify (* U U) into (pow U 2)
107.098 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
107.102 * [backup-simplify]: Simplify (* 1 1) into 1
107.102 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
107.102 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
107.102 * [backup-simplify]: Simplify (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4))) into (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))
107.103 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4))) 0) into (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))
107.103 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4))) 0) into (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))
107.103 * [backup-simplify]: Simplify (sqrt (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
107.103 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
107.103 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow U 2))) into 0
107.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.105 * [backup-simplify]: Simplify (+ 0) into 0
107.106 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
107.106 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
107.107 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
107.108 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
107.108 * [backup-simplify]: Simplify (- 0) into 0
107.108 * [backup-simplify]: Simplify (+ 0 0) into 0
107.109 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
107.109 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow (cos (* 1/2 K)) 2))) into 0
107.109 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 4) 0) (* 0 1)) into 0
107.110 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 4)) (+ (* (/ (pow U 4) (pow (cos (* 1/2 K)) 4)) (/ 0 (pow (cos (* 1/2 K)) 4))))) into 0
107.110 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))) into 0
107.111 * [backup-simplify]: Simplify (+ 0 0) into 0
107.111 * [backup-simplify]: Simplify (+ 0 0) into 0
107.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))))) into 0
107.111 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) in K
107.111 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in K
107.111 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in K
107.111 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in K
107.111 * [taylor]: Taking taylor expansion of 1/16 in K
107.111 * [backup-simplify]: Simplify 1/16 into 1/16
107.112 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in K
107.112 * [taylor]: Taking taylor expansion of (pow U 4) in K
107.112 * [taylor]: Taking taylor expansion of U in K
107.112 * [backup-simplify]: Simplify U into U
107.112 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in K
107.112 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in K
107.112 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
107.112 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
107.112 * [taylor]: Taking taylor expansion of 1/2 in K
107.112 * [backup-simplify]: Simplify 1/2 into 1/2
107.112 * [taylor]: Taking taylor expansion of K in K
107.112 * [backup-simplify]: Simplify 0 into 0
107.112 * [backup-simplify]: Simplify 1 into 1
107.112 * [backup-simplify]: Simplify (* 1/2 0) into 0
107.113 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
107.113 * [taylor]: Taking taylor expansion of (pow J 4) in K
107.113 * [taylor]: Taking taylor expansion of J in K
107.113 * [backup-simplify]: Simplify J into J
107.113 * [backup-simplify]: Simplify (* U U) into (pow U 2)
107.113 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
107.114 * [backup-simplify]: Simplify (* 1 1) into 1
107.114 * [backup-simplify]: Simplify (* 1 1) into 1
107.114 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.114 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
107.114 * [backup-simplify]: Simplify (* 1 (pow J 4)) into (pow J 4)
107.114 * [backup-simplify]: Simplify (/ (pow U 4) (pow J 4)) into (/ (pow U 4) (pow J 4))
107.114 * [taylor]: Taking taylor expansion of 1 in K
107.114 * [backup-simplify]: Simplify 1 into 1
107.114 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
107.114 * [taylor]: Taking taylor expansion of 1/4 in K
107.114 * [backup-simplify]: Simplify 1/4 into 1/4
107.115 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
107.115 * [taylor]: Taking taylor expansion of (pow U 2) in K
107.115 * [taylor]: Taking taylor expansion of U in K
107.115 * [backup-simplify]: Simplify U into U
107.115 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
107.115 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
107.115 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
107.115 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
107.115 * [taylor]: Taking taylor expansion of 1/2 in K
107.115 * [backup-simplify]: Simplify 1/2 into 1/2
107.115 * [taylor]: Taking taylor expansion of K in K
107.115 * [backup-simplify]: Simplify 0 into 0
107.115 * [backup-simplify]: Simplify 1 into 1
107.115 * [backup-simplify]: Simplify (* 1/2 0) into 0
107.116 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
107.116 * [taylor]: Taking taylor expansion of (pow J 2) in K
107.116 * [taylor]: Taking taylor expansion of J in K
107.116 * [backup-simplify]: Simplify J into J
107.116 * [backup-simplify]: Simplify (* U U) into (pow U 2)
107.116 * [backup-simplify]: Simplify (* 1 1) into 1
107.117 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.117 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
107.117 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
107.117 * [backup-simplify]: Simplify (* 1/16 (/ (pow U 4) (pow J 4))) into (* 1/16 (/ (pow U 4) (pow J 4)))
107.117 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) into (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1)
107.117 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
107.118 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow U 2) (pow J 2)))) into (- (* 1/4 (/ (pow U 2) (pow J 2))))
107.118 * [backup-simplify]: Simplify (+ (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (- (* 1/4 (/ (pow U 2) (pow J 2))))) into (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2))))
107.119 * [backup-simplify]: Simplify (sqrt (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2)))))
107.119 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
107.119 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow U 2))) into 0
107.119 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
107.119 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
107.120 * [backup-simplify]: Simplify (+ 0) into 0
107.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 4))) into 0
107.122 * [backup-simplify]: Simplify (- (/ 0 (pow J 4)) (+ (* (/ (pow U 4) (pow J 4)) (/ 0 (pow J 4))))) into 0
107.122 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow U 4) (pow J 4)))) into 0
107.123 * [backup-simplify]: Simplify (+ 0 0) into 0
107.123 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
107.123 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
107.123 * [backup-simplify]: Simplify (+ 0) into 0
107.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
107.125 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
107.125 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
107.126 * [backup-simplify]: Simplify (- 0) into 0
107.126 * [backup-simplify]: Simplify (+ 0 0) into 0
107.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2))))))) into 0
107.127 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) in U
107.127 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in U
107.127 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in U
107.127 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in U
107.127 * [taylor]: Taking taylor expansion of 1/16 in U
107.127 * [backup-simplify]: Simplify 1/16 into 1/16
107.127 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in U
107.127 * [taylor]: Taking taylor expansion of (pow U 4) in U
107.127 * [taylor]: Taking taylor expansion of U in U
107.127 * [backup-simplify]: Simplify 0 into 0
107.127 * [backup-simplify]: Simplify 1 into 1
107.127 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in U
107.127 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in U
107.127 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
107.127 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
107.127 * [taylor]: Taking taylor expansion of 1/2 in U
107.127 * [backup-simplify]: Simplify 1/2 into 1/2
107.127 * [taylor]: Taking taylor expansion of K in U
107.127 * [backup-simplify]: Simplify K into K
107.127 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
107.127 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
107.127 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
107.127 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
107.127 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
107.128 * [backup-simplify]: Simplify (- 0) into 0
107.128 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
107.128 * [taylor]: Taking taylor expansion of (pow J 4) in U
107.128 * [taylor]: Taking taylor expansion of J in U
107.128 * [backup-simplify]: Simplify J into J
107.128 * [backup-simplify]: Simplify (* 1 1) into 1
107.129 * [backup-simplify]: Simplify (* 1 1) into 1
107.129 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
107.129 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 4)
107.129 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.129 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
107.130 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 4) (pow J 4)) into (* (pow (cos (* 1/2 K)) 4) (pow J 4))
107.130 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) into (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))
107.130 * [taylor]: Taking taylor expansion of 1 in U
107.130 * [backup-simplify]: Simplify 1 into 1
107.130 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
107.130 * [taylor]: Taking taylor expansion of 1/4 in U
107.130 * [backup-simplify]: Simplify 1/4 into 1/4
107.130 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
107.130 * [taylor]: Taking taylor expansion of (pow U 2) in U
107.130 * [taylor]: Taking taylor expansion of U in U
107.130 * [backup-simplify]: Simplify 0 into 0
107.130 * [backup-simplify]: Simplify 1 into 1
107.130 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
107.130 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
107.130 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
107.130 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
107.130 * [taylor]: Taking taylor expansion of 1/2 in U
107.130 * [backup-simplify]: Simplify 1/2 into 1/2
107.130 * [taylor]: Taking taylor expansion of K in U
107.130 * [backup-simplify]: Simplify K into K
107.130 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
107.130 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
107.130 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
107.131 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
107.131 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
107.131 * [backup-simplify]: Simplify (- 0) into 0
107.131 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
107.131 * [taylor]: Taking taylor expansion of (pow J 2) in U
107.131 * [taylor]: Taking taylor expansion of J in U
107.131 * [backup-simplify]: Simplify J into J
107.132 * [backup-simplify]: Simplify (* 1 1) into 1
107.132 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
107.132 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.132 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
107.132 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
107.133 * [backup-simplify]: Simplify (+ 0 1) into 1
107.133 * [backup-simplify]: Simplify (+ 1 0) into 1
107.133 * [backup-simplify]: Simplify (sqrt 1) into 1
107.134 * [backup-simplify]: Simplify (+ 0 0) into 0
107.134 * [backup-simplify]: Simplify (+ 0 0) into 0
107.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
107.135 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) in U
107.135 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in U
107.135 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in U
107.135 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in U
107.135 * [taylor]: Taking taylor expansion of 1/16 in U
107.135 * [backup-simplify]: Simplify 1/16 into 1/16
107.135 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in U
107.135 * [taylor]: Taking taylor expansion of (pow U 4) in U
107.135 * [taylor]: Taking taylor expansion of U in U
107.135 * [backup-simplify]: Simplify 0 into 0
107.135 * [backup-simplify]: Simplify 1 into 1
107.135 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in U
107.135 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in U
107.135 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
107.135 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
107.135 * [taylor]: Taking taylor expansion of 1/2 in U
107.135 * [backup-simplify]: Simplify 1/2 into 1/2
107.135 * [taylor]: Taking taylor expansion of K in U
107.135 * [backup-simplify]: Simplify K into K
107.135 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
107.136 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
107.136 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
107.136 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
107.136 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
107.136 * [backup-simplify]: Simplify (- 0) into 0
107.136 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
107.136 * [taylor]: Taking taylor expansion of (pow J 4) in U
107.136 * [taylor]: Taking taylor expansion of J in U
107.136 * [backup-simplify]: Simplify J into J
107.137 * [backup-simplify]: Simplify (* 1 1) into 1
107.137 * [backup-simplify]: Simplify (* 1 1) into 1
107.137 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
107.137 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 4)
107.137 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.137 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
107.138 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 4) (pow J 4)) into (* (pow (cos (* 1/2 K)) 4) (pow J 4))
107.138 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) into (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))
107.138 * [taylor]: Taking taylor expansion of 1 in U
107.138 * [backup-simplify]: Simplify 1 into 1
107.138 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
107.138 * [taylor]: Taking taylor expansion of 1/4 in U
107.138 * [backup-simplify]: Simplify 1/4 into 1/4
107.138 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
107.138 * [taylor]: Taking taylor expansion of (pow U 2) in U
107.138 * [taylor]: Taking taylor expansion of U in U
107.138 * [backup-simplify]: Simplify 0 into 0
107.138 * [backup-simplify]: Simplify 1 into 1
107.138 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
107.138 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
107.138 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
107.138 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
107.138 * [taylor]: Taking taylor expansion of 1/2 in U
107.138 * [backup-simplify]: Simplify 1/2 into 1/2
107.138 * [taylor]: Taking taylor expansion of K in U
107.138 * [backup-simplify]: Simplify K into K
107.138 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
107.138 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
107.138 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
107.138 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
107.139 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
107.139 * [backup-simplify]: Simplify (- 0) into 0
107.139 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
107.139 * [taylor]: Taking taylor expansion of (pow J 2) in U
107.139 * [taylor]: Taking taylor expansion of J in U
107.139 * [backup-simplify]: Simplify J into J
107.139 * [backup-simplify]: Simplify (* 1 1) into 1
107.140 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
107.140 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.140 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
107.140 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
107.141 * [backup-simplify]: Simplify (+ 0 1) into 1
107.141 * [backup-simplify]: Simplify (+ 1 0) into 1
107.141 * [backup-simplify]: Simplify (sqrt 1) into 1
107.142 * [backup-simplify]: Simplify (+ 0 0) into 0
107.142 * [backup-simplify]: Simplify (+ 0 0) into 0
107.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
107.143 * [taylor]: Taking taylor expansion of 1 in K
107.143 * [backup-simplify]: Simplify 1 into 1
107.143 * [taylor]: Taking taylor expansion of 1 in J
107.143 * [backup-simplify]: Simplify 1 into 1
107.143 * [taylor]: Taking taylor expansion of 0 in K
107.143 * [backup-simplify]: Simplify 0 into 0
107.143 * [taylor]: Taking taylor expansion of 0 in J
107.143 * [backup-simplify]: Simplify 0 into 0
107.143 * [taylor]: Taking taylor expansion of 0 in J
107.143 * [backup-simplify]: Simplify 0 into 0
107.144 * [backup-simplify]: Simplify (+ 0 0) into 0
107.144 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
107.145 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))
107.145 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))
107.147 * [backup-simplify]: Simplify (/ (- (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) (pow 0 2) (+)) (* 2 1)) into (/ -1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
107.147 * [taylor]: Taking taylor expansion of (/ -1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
107.147 * [taylor]: Taking taylor expansion of -1/8 in K
107.147 * [backup-simplify]: Simplify -1/8 into -1/8
107.147 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
107.147 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
107.147 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
107.147 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
107.147 * [taylor]: Taking taylor expansion of 1/2 in K
107.148 * [backup-simplify]: Simplify 1/2 into 1/2
107.148 * [taylor]: Taking taylor expansion of K in K
107.148 * [backup-simplify]: Simplify 0 into 0
107.148 * [backup-simplify]: Simplify 1 into 1
107.148 * [backup-simplify]: Simplify (* 1/2 0) into 0
107.149 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
107.149 * [taylor]: Taking taylor expansion of (pow J 2) in K
107.149 * [taylor]: Taking taylor expansion of J in K
107.149 * [backup-simplify]: Simplify J into J
107.149 * [backup-simplify]: Simplify (* 1 1) into 1
107.149 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.149 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
107.149 * [backup-simplify]: Simplify (/ -1/8 (pow J 2)) into (/ -1/8 (pow J 2))
107.150 * [taylor]: Taking taylor expansion of (/ -1/8 (pow J 2)) in J
107.150 * [taylor]: Taking taylor expansion of -1/8 in J
107.150 * [backup-simplify]: Simplify -1/8 into -1/8
107.150 * [taylor]: Taking taylor expansion of (pow J 2) in J
107.150 * [taylor]: Taking taylor expansion of J in J
107.150 * [backup-simplify]: Simplify 0 into 0
107.150 * [backup-simplify]: Simplify 1 into 1
107.150 * [backup-simplify]: Simplify (* 1 1) into 1
107.150 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
107.151 * [backup-simplify]: Simplify -1/8 into -1/8
107.151 * [taylor]: Taking taylor expansion of 0 in J
107.151 * [backup-simplify]: Simplify 0 into 0
107.151 * [taylor]: Taking taylor expansion of 0 in J
107.151 * [backup-simplify]: Simplify 0 into 0
107.151 * [backup-simplify]: Simplify 1 into 1
107.151 * [backup-simplify]: Simplify (+ 0 0) into 0
107.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.152 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
107.152 * [backup-simplify]: Simplify (+ 0) into 0
107.153 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
107.153 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
107.154 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
107.154 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
107.155 * [backup-simplify]: Simplify (- 0) into 0
107.155 * [backup-simplify]: Simplify (+ 0 0) into 0
107.155 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
107.156 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
107.156 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
107.157 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
107.157 * [backup-simplify]: Simplify (- 0) into 0
107.158 * [backup-simplify]: Simplify (+ 0 0) into 0
107.158 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
107.158 * [taylor]: Taking taylor expansion of 0 in K
107.158 * [backup-simplify]: Simplify 0 into 0
107.158 * [taylor]: Taking taylor expansion of 0 in J
107.158 * [backup-simplify]: Simplify 0 into 0
107.159 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
107.159 * [backup-simplify]: Simplify (+ 0) into 0
107.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
107.160 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ -1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0
107.160 * [taylor]: Taking taylor expansion of 0 in J
107.160 * [backup-simplify]: Simplify 0 into 0
107.160 * [taylor]: Taking taylor expansion of 0 in J
107.161 * [backup-simplify]: Simplify 0 into 0
107.161 * [taylor]: Taking taylor expansion of 0 in J
107.161 * [backup-simplify]: Simplify 0 into 0
107.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
107.162 * [backup-simplify]: Simplify 0 into 0
107.162 * [backup-simplify]: Simplify 0 into 0
107.162 * [backup-simplify]: Simplify 0 into 0
107.162 * [backup-simplify]: Simplify 0 into 0
107.163 * [backup-simplify]: Simplify (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) into (/ 1/16 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))
107.163 * [backup-simplify]: Simplify (+ (/ 1/16 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) 0) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))))
107.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
107.164 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
107.165 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
107.166 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
107.167 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
107.167 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
107.168 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
107.168 * [backup-simplify]: Simplify (- 0) into 0
107.168 * [backup-simplify]: Simplify (+ 0 0) into 0
107.168 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
107.169 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
107.169 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
107.170 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
107.170 * [backup-simplify]: Simplify (- 0) into 0
107.170 * [backup-simplify]: Simplify (+ (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 0) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))))
107.171 * [backup-simplify]: Simplify (/ (- (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) (pow (/ -1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ 3/128 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))
107.171 * [taylor]: Taking taylor expansion of (/ 3/128 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in K
107.171 * [taylor]: Taking taylor expansion of 3/128 in K
107.171 * [backup-simplify]: Simplify 3/128 into 3/128
107.171 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in K
107.171 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in K
107.171 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
107.171 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
107.171 * [taylor]: Taking taylor expansion of 1/2 in K
107.171 * [backup-simplify]: Simplify 1/2 into 1/2
107.171 * [taylor]: Taking taylor expansion of K in K
107.171 * [backup-simplify]: Simplify 0 into 0
107.171 * [backup-simplify]: Simplify 1 into 1
107.172 * [backup-simplify]: Simplify (* 1/2 0) into 0
107.172 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
107.172 * [taylor]: Taking taylor expansion of (pow J 4) in K
107.172 * [taylor]: Taking taylor expansion of J in K
107.172 * [backup-simplify]: Simplify J into J
107.172 * [backup-simplify]: Simplify (* 1 1) into 1
107.173 * [backup-simplify]: Simplify (* 1 1) into 1
107.173 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.173 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
107.173 * [backup-simplify]: Simplify (* 1 (pow J 4)) into (pow J 4)
107.173 * [backup-simplify]: Simplify (/ 3/128 (pow J 4)) into (/ 3/128 (pow J 4))
107.173 * [taylor]: Taking taylor expansion of (/ 3/128 (pow J 4)) in J
107.173 * [taylor]: Taking taylor expansion of 3/128 in J
107.173 * [backup-simplify]: Simplify 3/128 into 3/128
107.173 * [taylor]: Taking taylor expansion of (pow J 4) in J
107.173 * [taylor]: Taking taylor expansion of J in J
107.173 * [backup-simplify]: Simplify 0 into 0
107.173 * [backup-simplify]: Simplify 1 into 1
107.173 * [backup-simplify]: Simplify (* 1 1) into 1
107.173 * [backup-simplify]: Simplify (* 1 1) into 1
107.174 * [backup-simplify]: Simplify (/ 3/128 1) into 3/128
107.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
107.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
107.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/128 (/ 0 1)))) into 0
107.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3/128 (/ 0 1)) (* 0 (/ 0 1)))) into 0
107.177 * [backup-simplify]: Simplify 0 into 0
107.177 * [taylor]: Taking taylor expansion of 0 in J
107.177 * [backup-simplify]: Simplify 0 into 0
107.177 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
107.177 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
107.178 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4
107.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (pow J 2)))) into (- (* 1/4 (pow J 2)))
107.179 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ -1/8 (pow J 2)) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (- (* 1/32 (/ 1 (pow J 2))))
107.179 * [taylor]: Taking taylor expansion of (- (* 1/32 (/ 1 (pow J 2)))) in J
107.179 * [taylor]: Taking taylor expansion of (* 1/32 (/ 1 (pow J 2))) in J
107.179 * [taylor]: Taking taylor expansion of 1/32 in J
107.179 * [backup-simplify]: Simplify 1/32 into 1/32
107.179 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J
107.179 * [taylor]: Taking taylor expansion of (pow J 2) in J
107.179 * [taylor]: Taking taylor expansion of J in J
107.179 * [backup-simplify]: Simplify 0 into 0
107.179 * [backup-simplify]: Simplify 1 into 1
107.179 * [backup-simplify]: Simplify (* 1 1) into 1
107.180 * [backup-simplify]: Simplify (/ 1 1) into 1
107.180 * [backup-simplify]: Simplify (* 1/32 1) into 1/32
107.180 * [backup-simplify]: Simplify (- 1/32) into -1/32
107.180 * [backup-simplify]: Simplify -1/32 into -1/32
107.180 * [backup-simplify]: Simplify (+ (* -1/32 (pow (* (/ 1 J) (* K U)) 2)) (+ 1 (* -1/8 (pow (* (/ 1 J) (* 1 U)) 2)))) into (- 1 (+ (* 1/32 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/8 (/ (pow U 2) (pow J 2)))))
107.182 * [backup-simplify]: Simplify (sqrt (+ (* (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))))) (- (* 1 1) (* (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)))) into (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))
107.182 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) in (U K J) around 0
107.182 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) in J
107.182 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in J
107.182 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in J
107.182 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in J
107.182 * [taylor]: Taking taylor expansion of 1/16 in J
107.182 * [backup-simplify]: Simplify 1/16 into 1/16
107.182 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in J
107.182 * [taylor]: Taking taylor expansion of (pow J 4) in J
107.182 * [taylor]: Taking taylor expansion of J in J
107.182 * [backup-simplify]: Simplify 0 into 0
107.182 * [backup-simplify]: Simplify 1 into 1
107.182 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in J
107.182 * [taylor]: Taking taylor expansion of (pow U 4) in J
107.182 * [taylor]: Taking taylor expansion of U in J
107.182 * [backup-simplify]: Simplify U into U
107.182 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in J
107.182 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
107.182 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
107.182 * [taylor]: Taking taylor expansion of 1/2 in J
107.182 * [backup-simplify]: Simplify 1/2 into 1/2
107.182 * [taylor]: Taking taylor expansion of K in J
107.182 * [backup-simplify]: Simplify K into K
107.182 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
107.182 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
107.182 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
107.182 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
107.182 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
107.182 * [backup-simplify]: Simplify (- 0) into 0
107.182 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
107.183 * [backup-simplify]: Simplify (* 1 1) into 1
107.183 * [backup-simplify]: Simplify (* 1 1) into 1
107.183 * [backup-simplify]: Simplify (* U U) into (pow U 2)
107.183 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
107.183 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
107.183 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
107.183 * [backup-simplify]: Simplify (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) into (* (pow U 4) (pow (cos (/ 1/2 K)) 4))
107.183 * [backup-simplify]: Simplify (/ 1 (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) into (/ 1 (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))
107.183 * [taylor]: Taking taylor expansion of 1 in J
107.184 * [backup-simplify]: Simplify 1 into 1
107.184 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
107.184 * [taylor]: Taking taylor expansion of 1/4 in J
107.184 * [backup-simplify]: Simplify 1/4 into 1/4
107.184 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
107.184 * [taylor]: Taking taylor expansion of (pow J 2) in J
107.184 * [taylor]: Taking taylor expansion of J in J
107.184 * [backup-simplify]: Simplify 0 into 0
107.184 * [backup-simplify]: Simplify 1 into 1
107.184 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
107.184 * [taylor]: Taking taylor expansion of (pow U 2) in J
107.184 * [taylor]: Taking taylor expansion of U in J
107.184 * [backup-simplify]: Simplify U into U
107.184 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
107.184 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
107.184 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
107.184 * [taylor]: Taking taylor expansion of 1/2 in J
107.184 * [backup-simplify]: Simplify 1/2 into 1/2
107.184 * [taylor]: Taking taylor expansion of K in J
107.184 * [backup-simplify]: Simplify K into K
107.184 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
107.184 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
107.184 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
107.184 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
107.184 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
107.184 * [backup-simplify]: Simplify (- 0) into 0
107.184 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
107.185 * [backup-simplify]: Simplify (* 1 1) into 1
107.185 * [backup-simplify]: Simplify (* U U) into (pow U 2)
107.185 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
107.185 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
107.185 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
107.185 * [backup-simplify]: Simplify (+ 0 1) into 1
107.185 * [backup-simplify]: Simplify (+ 1 0) into 1
107.186 * [backup-simplify]: Simplify (sqrt 1) into 1
107.186 * [backup-simplify]: Simplify (+ 0 0) into 0
107.186 * [backup-simplify]: Simplify (+ 0 0) into 0
107.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
107.187 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) in K
107.187 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in K
107.187 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in K
107.187 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in K
107.187 * [taylor]: Taking taylor expansion of 1/16 in K
107.187 * [backup-simplify]: Simplify 1/16 into 1/16
107.187 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in K
107.187 * [taylor]: Taking taylor expansion of (pow J 4) in K
107.187 * [taylor]: Taking taylor expansion of J in K
107.187 * [backup-simplify]: Simplify J into J
107.187 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in K
107.187 * [taylor]: Taking taylor expansion of (pow U 4) in K
107.187 * [taylor]: Taking taylor expansion of U in K
107.187 * [backup-simplify]: Simplify U into U
107.187 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in K
107.187 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
107.187 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
107.187 * [taylor]: Taking taylor expansion of 1/2 in K
107.187 * [backup-simplify]: Simplify 1/2 into 1/2
107.187 * [taylor]: Taking taylor expansion of K in K
107.187 * [backup-simplify]: Simplify 0 into 0
107.187 * [backup-simplify]: Simplify 1 into 1
107.187 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
107.187 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
107.187 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.187 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
107.188 * [backup-simplify]: Simplify (* U U) into (pow U 2)
107.188 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
107.188 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
107.188 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
107.188 * [backup-simplify]: Simplify (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) into (* (pow U 4) (pow (cos (/ 1/2 K)) 4))
107.188 * [backup-simplify]: Simplify (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) into (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))
107.188 * [taylor]: Taking taylor expansion of 1 in K
107.188 * [backup-simplify]: Simplify 1 into 1
107.188 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
107.188 * [taylor]: Taking taylor expansion of 1/4 in K
107.188 * [backup-simplify]: Simplify 1/4 into 1/4
107.188 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
107.188 * [taylor]: Taking taylor expansion of (pow J 2) in K
107.188 * [taylor]: Taking taylor expansion of J in K
107.188 * [backup-simplify]: Simplify J into J
107.188 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
107.188 * [taylor]: Taking taylor expansion of (pow U 2) in K
107.188 * [taylor]: Taking taylor expansion of U in K
107.188 * [backup-simplify]: Simplify U into U
107.188 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
107.188 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
107.188 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
107.188 * [taylor]: Taking taylor expansion of 1/2 in K
107.188 * [backup-simplify]: Simplify 1/2 into 1/2
107.188 * [taylor]: Taking taylor expansion of K in K
107.188 * [backup-simplify]: Simplify 0 into 0
107.188 * [backup-simplify]: Simplify 1 into 1
107.189 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
107.189 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
107.189 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.189 * [backup-simplify]: Simplify (* U U) into (pow U 2)
107.189 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
107.189 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
107.189 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
107.189 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) into (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))))
107.189 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) into (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1)
107.189 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
107.190 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (- (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))
107.190 * [backup-simplify]: Simplify (+ (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (- (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))
107.191 * [backup-simplify]: Simplify (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))
107.191 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
107.191 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
107.191 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
107.191 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
107.191 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
107.191 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow U 2))) into 0
107.191 * [backup-simplify]: Simplify (+ (* (pow U 4) 0) (* 0 (pow (cos (/ 1/2 K)) 4))) into 0
107.191 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) (+ (* (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) (/ 0 (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))))) into 0
107.192 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))))) into 0
107.192 * [backup-simplify]: Simplify (+ 0 0) into 0
107.192 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
107.192 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
107.192 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
107.192 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
107.193 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
107.193 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
107.193 * [backup-simplify]: Simplify (- 0) into 0
107.194 * [backup-simplify]: Simplify (+ 0 0) into 0
107.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))))) into 0
107.194 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) in U
107.194 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in U
107.194 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in U
107.194 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in U
107.194 * [taylor]: Taking taylor expansion of 1/16 in U
107.194 * [backup-simplify]: Simplify 1/16 into 1/16
107.194 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in U
107.194 * [taylor]: Taking taylor expansion of (pow J 4) in U
107.194 * [taylor]: Taking taylor expansion of J in U
107.194 * [backup-simplify]: Simplify J into J
107.194 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in U
107.194 * [taylor]: Taking taylor expansion of (pow U 4) in U
107.194 * [taylor]: Taking taylor expansion of U in U
107.194 * [backup-simplify]: Simplify 0 into 0
107.194 * [backup-simplify]: Simplify 1 into 1
107.194 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in U
107.194 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
107.194 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
107.194 * [taylor]: Taking taylor expansion of 1/2 in U
107.195 * [backup-simplify]: Simplify 1/2 into 1/2
107.195 * [taylor]: Taking taylor expansion of K in U
107.195 * [backup-simplify]: Simplify K into K
107.195 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
107.195 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
107.195 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
107.195 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
107.195 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
107.195 * [backup-simplify]: Simplify (- 0) into 0
107.195 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
107.195 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.196 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
107.196 * [backup-simplify]: Simplify (* 1 1) into 1
107.196 * [backup-simplify]: Simplify (* 1 1) into 1
107.196 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
107.197 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
107.197 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 4)) into (pow (cos (/ 1/2 K)) 4)
107.197 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))
107.197 * [taylor]: Taking taylor expansion of 1 in U
107.197 * [backup-simplify]: Simplify 1 into 1
107.197 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
107.197 * [taylor]: Taking taylor expansion of 1/4 in U
107.197 * [backup-simplify]: Simplify 1/4 into 1/4
107.197 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
107.197 * [taylor]: Taking taylor expansion of (pow J 2) in U
107.197 * [taylor]: Taking taylor expansion of J in U
107.197 * [backup-simplify]: Simplify J into J
107.197 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
107.197 * [taylor]: Taking taylor expansion of (pow U 2) in U
107.197 * [taylor]: Taking taylor expansion of U in U
107.197 * [backup-simplify]: Simplify 0 into 0
107.197 * [backup-simplify]: Simplify 1 into 1
107.197 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
107.197 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
107.197 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
107.197 * [taylor]: Taking taylor expansion of 1/2 in U
107.197 * [backup-simplify]: Simplify 1/2 into 1/2
107.197 * [taylor]: Taking taylor expansion of K in U
107.197 * [backup-simplify]: Simplify K into K
107.197 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
107.198 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
107.198 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
107.198 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
107.198 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
107.198 * [backup-simplify]: Simplify (- 0) into 0
107.198 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
107.198 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.199 * [backup-simplify]: Simplify (* 1 1) into 1
107.199 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
107.199 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
107.199 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
107.199 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
107.200 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
107.200 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
107.200 * [backup-simplify]: Simplify (sqrt (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
107.200 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
107.200 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
107.201 * [backup-simplify]: Simplify (+ 0) into 0
107.201 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
107.201 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
107.202 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
107.203 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
107.203 * [backup-simplify]: Simplify (- 0) into 0
107.203 * [backup-simplify]: Simplify (+ 0 0) into 0
107.204 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
107.204 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
107.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 4))) into 0
107.207 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
107.207 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) into 0
107.208 * [backup-simplify]: Simplify (+ 0 0) into 0
107.208 * [backup-simplify]: Simplify (+ 0 0) into 0
107.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))))) into 0
107.209 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) in U
107.209 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in U
107.209 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in U
107.209 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in U
107.209 * [taylor]: Taking taylor expansion of 1/16 in U
107.209 * [backup-simplify]: Simplify 1/16 into 1/16
107.209 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in U
107.209 * [taylor]: Taking taylor expansion of (pow J 4) in U
107.209 * [taylor]: Taking taylor expansion of J in U
107.209 * [backup-simplify]: Simplify J into J
107.209 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in U
107.209 * [taylor]: Taking taylor expansion of (pow U 4) in U
107.209 * [taylor]: Taking taylor expansion of U in U
107.209 * [backup-simplify]: Simplify 0 into 0
107.209 * [backup-simplify]: Simplify 1 into 1
107.209 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in U
107.209 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
107.209 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
107.209 * [taylor]: Taking taylor expansion of 1/2 in U
107.209 * [backup-simplify]: Simplify 1/2 into 1/2
107.209 * [taylor]: Taking taylor expansion of K in U
107.209 * [backup-simplify]: Simplify K into K
107.209 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
107.209 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
107.209 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
107.209 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
107.210 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
107.210 * [backup-simplify]: Simplify (- 0) into 0
107.210 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
107.210 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.210 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
107.211 * [backup-simplify]: Simplify (* 1 1) into 1
107.211 * [backup-simplify]: Simplify (* 1 1) into 1
107.211 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
107.211 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
107.211 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 4)) into (pow (cos (/ 1/2 K)) 4)
107.211 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))
107.211 * [taylor]: Taking taylor expansion of 1 in U
107.211 * [backup-simplify]: Simplify 1 into 1
107.211 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
107.211 * [taylor]: Taking taylor expansion of 1/4 in U
107.211 * [backup-simplify]: Simplify 1/4 into 1/4
107.211 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
107.211 * [taylor]: Taking taylor expansion of (pow J 2) in U
107.211 * [taylor]: Taking taylor expansion of J in U
107.211 * [backup-simplify]: Simplify J into J
107.211 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
107.211 * [taylor]: Taking taylor expansion of (pow U 2) in U
107.211 * [taylor]: Taking taylor expansion of U in U
107.211 * [backup-simplify]: Simplify 0 into 0
107.211 * [backup-simplify]: Simplify 1 into 1
107.211 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
107.211 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
107.211 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
107.211 * [taylor]: Taking taylor expansion of 1/2 in U
107.211 * [backup-simplify]: Simplify 1/2 into 1/2
107.212 * [taylor]: Taking taylor expansion of K in U
107.212 * [backup-simplify]: Simplify K into K
107.212 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
107.212 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
107.212 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
107.212 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
107.212 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
107.212 * [backup-simplify]: Simplify (- 0) into 0
107.212 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
107.212 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.212 * [backup-simplify]: Simplify (* 1 1) into 1
107.212 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
107.212 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
107.213 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
107.213 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
107.213 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
107.213 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
107.213 * [backup-simplify]: Simplify (sqrt (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
107.213 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
107.213 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
107.214 * [backup-simplify]: Simplify (+ 0) into 0
107.214 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
107.214 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
107.214 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
107.215 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
107.215 * [backup-simplify]: Simplify (- 0) into 0
107.215 * [backup-simplify]: Simplify (+ 0 0) into 0
107.215 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
107.215 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
107.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 4))) into 0
107.217 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
107.217 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) into 0
107.217 * [backup-simplify]: Simplify (+ 0 0) into 0
107.218 * [backup-simplify]: Simplify (+ 0 0) into 0
107.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))))) into 0
107.218 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K
107.218 * [taylor]: Taking taylor expansion of 1/4 in K
107.218 * [backup-simplify]: Simplify 1/4 into 1/4
107.218 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K
107.218 * [taylor]: Taking taylor expansion of (pow J 2) in K
107.218 * [taylor]: Taking taylor expansion of J in K
107.218 * [backup-simplify]: Simplify J into J
107.218 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
107.218 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
107.218 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
107.218 * [taylor]: Taking taylor expansion of 1/2 in K
107.218 * [backup-simplify]: Simplify 1/2 into 1/2
107.218 * [taylor]: Taking taylor expansion of K in K
107.218 * [backup-simplify]: Simplify 0 into 0
107.218 * [backup-simplify]: Simplify 1 into 1
107.218 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
107.219 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
107.219 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.219 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
107.219 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
107.219 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
107.219 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J
107.219 * [taylor]: Taking taylor expansion of 1/4 in J
107.219 * [backup-simplify]: Simplify 1/4 into 1/4
107.219 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J
107.219 * [taylor]: Taking taylor expansion of (pow J 2) in J
107.219 * [taylor]: Taking taylor expansion of J in J
107.219 * [backup-simplify]: Simplify 0 into 0
107.219 * [backup-simplify]: Simplify 1 into 1
107.219 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
107.219 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
107.219 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
107.219 * [taylor]: Taking taylor expansion of 1/2 in J
107.219 * [backup-simplify]: Simplify 1/2 into 1/2
107.219 * [taylor]: Taking taylor expansion of K in J
107.219 * [backup-simplify]: Simplify K into K
107.219 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
107.219 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
107.219 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
107.219 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
107.219 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
107.220 * [backup-simplify]: Simplify (- 0) into 0
107.220 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
107.220 * [backup-simplify]: Simplify (* 1 1) into 1
107.220 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
107.220 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2))
107.220 * [taylor]: Taking taylor expansion of 0 in K
107.220 * [backup-simplify]: Simplify 0 into 0
107.220 * [taylor]: Taking taylor expansion of 0 in J
107.220 * [backup-simplify]: Simplify 0 into 0
107.220 * [backup-simplify]: Simplify 0 into 0
107.220 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
107.220 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
107.220 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
107.221 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
107.221 * [taylor]: Taking taylor expansion of 0 in J
107.221 * [backup-simplify]: Simplify 0 into 0
107.221 * [backup-simplify]: Simplify 0 into 0
107.221 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
107.222 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
107.222 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
107.222 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
107.223 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
107.223 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
107.223 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
107.224 * [backup-simplify]: Simplify (- 0) into 0
107.224 * [backup-simplify]: Simplify (+ 0 0) into 0
107.224 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
107.225 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
107.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
107.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
107.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 4)))) into 0
107.230 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
107.230 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))) into 0
107.230 * [backup-simplify]: Simplify (+ 0 0) into 0
107.231 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
107.231 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))
107.231 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))
107.232 * [backup-simplify]: Simplify (/ (- (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (pow 0 2) (+)) (* 2 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into -1/2
107.232 * [taylor]: Taking taylor expansion of -1/2 in K
107.232 * [backup-simplify]: Simplify -1/2 into -1/2
107.232 * [taylor]: Taking taylor expansion of -1/2 in J
107.232 * [backup-simplify]: Simplify -1/2 into -1/2
107.232 * [backup-simplify]: Simplify -1/2 into -1/2
107.232 * [taylor]: Taking taylor expansion of 0 in J
107.232 * [backup-simplify]: Simplify 0 into 0
107.232 * [backup-simplify]: Simplify 0 into 0
107.232 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
107.233 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
107.233 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
107.234 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
107.234 * [taylor]: Taking taylor expansion of 0 in J
107.234 * [backup-simplify]: Simplify 0 into 0
107.234 * [backup-simplify]: Simplify 0 into 0
107.234 * [backup-simplify]: Simplify 0 into 0
107.234 * [backup-simplify]: Simplify 0 into 0
107.234 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
107.234 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
107.234 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
107.235 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0
107.235 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
107.236 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
107.236 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
107.237 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
107.237 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
107.238 * [backup-simplify]: Simplify (- 0) into 0
107.238 * [backup-simplify]: Simplify (+ 0 0) into 0
107.238 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
107.239 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
107.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
107.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
107.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 4))))) into 0
107.243 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
107.245 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))))) into 0
107.245 * [backup-simplify]: Simplify (+ 0 0) into 0
107.245 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
107.246 * [backup-simplify]: Simplify (+ 0) into 0
107.246 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
107.246 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
107.247 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
107.247 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
107.248 * [backup-simplify]: Simplify (- 0) into 0
107.248 * [backup-simplify]: Simplify (+ 0 0) into 0
107.248 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
107.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
107.250 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
107.251 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
107.251 * [backup-simplify]: Simplify (- 0) into 0
107.251 * [backup-simplify]: Simplify (+ 0 0) into 0
107.253 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
107.253 * [taylor]: Taking taylor expansion of 0 in K
107.253 * [backup-simplify]: Simplify 0 into 0
107.253 * [taylor]: Taking taylor expansion of 0 in J
107.253 * [backup-simplify]: Simplify 0 into 0
107.253 * [backup-simplify]: Simplify 0 into 0
107.253 * [taylor]: Taking taylor expansion of 0 in J
107.253 * [backup-simplify]: Simplify 0 into 0
107.253 * [backup-simplify]: Simplify 0 into 0
107.253 * [taylor]: Taking taylor expansion of 0 in J
107.253 * [backup-simplify]: Simplify 0 into 0
107.253 * [backup-simplify]: Simplify 0 into 0
107.254 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
107.255 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
107.255 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
107.256 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
107.256 * [taylor]: Taking taylor expansion of 0 in J
107.256 * [backup-simplify]: Simplify 0 into 0
107.256 * [backup-simplify]: Simplify 0 into 0
107.257 * [backup-simplify]: Simplify 0 into 0
107.257 * [backup-simplify]: Simplify 0 into 0
107.257 * [backup-simplify]: Simplify (+ (* (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)) (pow (* (/ 1 J) (* 1 (/ 1 (/ 1 U)))) 2)) -1/2) into (- (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1/2)
107.259 * [backup-simplify]: Simplify (sqrt (+ (* (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))))) (- (* 1 1) (* (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)))) into (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
107.259 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0
107.259 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
107.259 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
107.259 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in J
107.259 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in J
107.260 * [taylor]: Taking taylor expansion of 1/16 in J
107.260 * [backup-simplify]: Simplify 1/16 into 1/16
107.260 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in J
107.260 * [taylor]: Taking taylor expansion of (pow J 4) in J
107.260 * [taylor]: Taking taylor expansion of J in J
107.260 * [backup-simplify]: Simplify 0 into 0
107.260 * [backup-simplify]: Simplify 1 into 1
107.260 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in J
107.260 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in J
107.260 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
107.260 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
107.260 * [taylor]: Taking taylor expansion of -1/2 in J
107.260 * [backup-simplify]: Simplify -1/2 into -1/2
107.260 * [taylor]: Taking taylor expansion of K in J
107.260 * [backup-simplify]: Simplify K into K
107.260 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
107.260 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
107.260 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
107.260 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
107.260 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
107.261 * [backup-simplify]: Simplify (- 0) into 0
107.261 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
107.261 * [taylor]: Taking taylor expansion of (pow U 4) in J
107.261 * [taylor]: Taking taylor expansion of U in J
107.261 * [backup-simplify]: Simplify U into U
107.261 * [backup-simplify]: Simplify (* 1 1) into 1
107.262 * [backup-simplify]: Simplify (* 1 1) into 1
107.262 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
107.262 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
107.262 * [backup-simplify]: Simplify (* U U) into (pow U 2)
107.262 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
107.262 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) into (* (pow (cos (/ -1/2 K)) 4) (pow U 4))
107.262 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) into (/ 1 (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))
107.262 * [taylor]: Taking taylor expansion of 1 in J
107.262 * [backup-simplify]: Simplify 1 into 1
107.262 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
107.263 * [taylor]: Taking taylor expansion of 1/4 in J
107.263 * [backup-simplify]: Simplify 1/4 into 1/4
107.263 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
107.263 * [taylor]: Taking taylor expansion of (pow J 2) in J
107.263 * [taylor]: Taking taylor expansion of J in J
107.263 * [backup-simplify]: Simplify 0 into 0
107.263 * [backup-simplify]: Simplify 1 into 1
107.263 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
107.263 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
107.263 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
107.263 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
107.263 * [taylor]: Taking taylor expansion of -1/2 in J
107.263 * [backup-simplify]: Simplify -1/2 into -1/2
107.263 * [taylor]: Taking taylor expansion of K in J
107.263 * [backup-simplify]: Simplify K into K
107.263 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
107.263 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
107.263 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
107.263 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
107.263 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
107.264 * [backup-simplify]: Simplify (- 0) into 0
107.264 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
107.264 * [taylor]: Taking taylor expansion of (pow U 2) in J
107.264 * [taylor]: Taking taylor expansion of U in J
107.264 * [backup-simplify]: Simplify U into U
107.264 * [backup-simplify]: Simplify (* 1 1) into 1
107.264 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
107.264 * [backup-simplify]: Simplify (* U U) into (pow U 2)
107.265 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
107.265 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
107.266 * [backup-simplify]: Simplify (+ 0 1) into 1
107.266 * [backup-simplify]: Simplify (+ 1 0) into 1
107.266 * [backup-simplify]: Simplify (sqrt 1) into 1
107.267 * [backup-simplify]: Simplify (+ 0 0) into 0
107.267 * [backup-simplify]: Simplify (+ 0 0) into 0
107.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
107.268 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
107.268 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
107.268 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in K
107.268 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in K
107.268 * [taylor]: Taking taylor expansion of 1/16 in K
107.268 * [backup-simplify]: Simplify 1/16 into 1/16
107.268 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in K
107.268 * [taylor]: Taking taylor expansion of (pow J 4) in K
107.268 * [taylor]: Taking taylor expansion of J in K
107.268 * [backup-simplify]: Simplify J into J
107.268 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in K
107.268 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in K
107.268 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
107.268 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
107.268 * [taylor]: Taking taylor expansion of -1/2 in K
107.268 * [backup-simplify]: Simplify -1/2 into -1/2
107.268 * [taylor]: Taking taylor expansion of K in K
107.268 * [backup-simplify]: Simplify 0 into 0
107.268 * [backup-simplify]: Simplify 1 into 1
107.269 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
107.269 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
107.269 * [taylor]: Taking taylor expansion of (pow U 4) in K
107.269 * [taylor]: Taking taylor expansion of U in K
107.269 * [backup-simplify]: Simplify U into U
107.269 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.269 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
107.269 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
107.269 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
107.270 * [backup-simplify]: Simplify (* U U) into (pow U 2)
107.270 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
107.270 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) into (* (pow (cos (/ -1/2 K)) 4) (pow U 4))
107.270 * [backup-simplify]: Simplify (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) into (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))
107.270 * [taylor]: Taking taylor expansion of 1 in K
107.270 * [backup-simplify]: Simplify 1 into 1
107.270 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
107.270 * [taylor]: Taking taylor expansion of 1/4 in K
107.270 * [backup-simplify]: Simplify 1/4 into 1/4
107.270 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
107.270 * [taylor]: Taking taylor expansion of (pow J 2) in K
107.270 * [taylor]: Taking taylor expansion of J in K
107.270 * [backup-simplify]: Simplify J into J
107.270 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
107.270 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
107.270 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
107.270 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
107.270 * [taylor]: Taking taylor expansion of -1/2 in K
107.270 * [backup-simplify]: Simplify -1/2 into -1/2
107.270 * [taylor]: Taking taylor expansion of K in K
107.270 * [backup-simplify]: Simplify 0 into 0
107.271 * [backup-simplify]: Simplify 1 into 1
107.271 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
107.271 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
107.271 * [taylor]: Taking taylor expansion of (pow U 2) in K
107.271 * [taylor]: Taking taylor expansion of U in K
107.271 * [backup-simplify]: Simplify U into U
107.271 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.271 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
107.271 * [backup-simplify]: Simplify (* U U) into (pow U 2)
107.272 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
107.272 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
107.272 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) into (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))))
107.272 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) into (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1)
107.273 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
107.273 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (- (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
107.274 * [backup-simplify]: Simplify (+ (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (- (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
107.275 * [backup-simplify]: Simplify (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
107.275 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
107.275 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
107.275 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
107.275 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow U 2))) into 0
107.275 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
107.275 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
107.276 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (* 0 (pow U 4))) into 0
107.276 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) (+ (* (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) (/ 0 (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))))) into 0
107.277 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))))) into 0
107.277 * [backup-simplify]: Simplify (+ 0 0) into 0
107.278 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
107.278 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
107.278 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
107.278 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
107.279 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
107.279 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
107.280 * [backup-simplify]: Simplify (- 0) into 0
107.280 * [backup-simplify]: Simplify (+ 0 0) into 0
107.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
107.281 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
107.281 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
107.281 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in U
107.281 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in U
107.281 * [taylor]: Taking taylor expansion of 1/16 in U
107.281 * [backup-simplify]: Simplify 1/16 into 1/16
107.281 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in U
107.281 * [taylor]: Taking taylor expansion of (pow J 4) in U
107.281 * [taylor]: Taking taylor expansion of J in U
107.281 * [backup-simplify]: Simplify J into J
107.281 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in U
107.281 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in U
107.281 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
107.281 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
107.281 * [taylor]: Taking taylor expansion of -1/2 in U
107.281 * [backup-simplify]: Simplify -1/2 into -1/2
107.281 * [taylor]: Taking taylor expansion of K in U
107.281 * [backup-simplify]: Simplify K into K
107.282 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
107.282 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
107.282 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
107.282 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
107.282 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
107.282 * [backup-simplify]: Simplify (- 0) into 0
107.282 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
107.282 * [taylor]: Taking taylor expansion of (pow U 4) in U
107.282 * [taylor]: Taking taylor expansion of U in U
107.282 * [backup-simplify]: Simplify 0 into 0
107.282 * [backup-simplify]: Simplify 1 into 1
107.283 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.283 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
107.283 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
107.283 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
107.283 * [backup-simplify]: Simplify (* 1 1) into 1
107.284 * [backup-simplify]: Simplify (* 1 1) into 1
107.284 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) 1) into (pow (cos (/ -1/2 K)) 4)
107.284 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))
107.284 * [taylor]: Taking taylor expansion of 1 in U
107.284 * [backup-simplify]: Simplify 1 into 1
107.284 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
107.284 * [taylor]: Taking taylor expansion of 1/4 in U
107.284 * [backup-simplify]: Simplify 1/4 into 1/4
107.284 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
107.284 * [taylor]: Taking taylor expansion of (pow J 2) in U
107.284 * [taylor]: Taking taylor expansion of J in U
107.284 * [backup-simplify]: Simplify J into J
107.284 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
107.284 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
107.284 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
107.284 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
107.284 * [taylor]: Taking taylor expansion of -1/2 in U
107.284 * [backup-simplify]: Simplify -1/2 into -1/2
107.285 * [taylor]: Taking taylor expansion of K in U
107.285 * [backup-simplify]: Simplify K into K
107.285 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
107.285 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
107.285 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
107.285 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
107.285 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
107.285 * [backup-simplify]: Simplify (- 0) into 0
107.285 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
107.285 * [taylor]: Taking taylor expansion of (pow U 2) in U
107.285 * [taylor]: Taking taylor expansion of U in U
107.285 * [backup-simplify]: Simplify 0 into 0
107.286 * [backup-simplify]: Simplify 1 into 1
107.286 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.286 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
107.286 * [backup-simplify]: Simplify (* 1 1) into 1
107.286 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
107.286 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
107.287 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
107.287 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
107.287 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
107.287 * [backup-simplify]: Simplify (sqrt (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
107.288 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
107.288 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
107.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.290 * [backup-simplify]: Simplify (+ 0) into 0
107.290 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
107.290 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
107.291 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
107.292 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
107.292 * [backup-simplify]: Simplify (- 0) into 0
107.292 * [backup-simplify]: Simplify (+ 0 0) into 0
107.292 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
107.293 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
107.293 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (* 0 1)) into 0
107.294 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
107.294 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) into 0
107.295 * [backup-simplify]: Simplify (+ 0 0) into 0
107.295 * [backup-simplify]: Simplify (+ 0 0) into 0
107.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))))) into 0
107.295 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
107.295 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
107.295 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in U
107.295 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in U
107.295 * [taylor]: Taking taylor expansion of 1/16 in U
107.295 * [backup-simplify]: Simplify 1/16 into 1/16
107.295 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in U
107.295 * [taylor]: Taking taylor expansion of (pow J 4) in U
107.295 * [taylor]: Taking taylor expansion of J in U
107.295 * [backup-simplify]: Simplify J into J
107.295 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in U
107.295 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in U
107.295 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
107.295 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
107.295 * [taylor]: Taking taylor expansion of -1/2 in U
107.295 * [backup-simplify]: Simplify -1/2 into -1/2
107.295 * [taylor]: Taking taylor expansion of K in U
107.295 * [backup-simplify]: Simplify K into K
107.295 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
107.295 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
107.295 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
107.295 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
107.296 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
107.296 * [backup-simplify]: Simplify (- 0) into 0
107.296 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
107.296 * [taylor]: Taking taylor expansion of (pow U 4) in U
107.296 * [taylor]: Taking taylor expansion of U in U
107.296 * [backup-simplify]: Simplify 0 into 0
107.296 * [backup-simplify]: Simplify 1 into 1
107.296 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.296 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
107.296 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
107.296 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
107.296 * [backup-simplify]: Simplify (* 1 1) into 1
107.297 * [backup-simplify]: Simplify (* 1 1) into 1
107.297 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) 1) into (pow (cos (/ -1/2 K)) 4)
107.297 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))
107.297 * [taylor]: Taking taylor expansion of 1 in U
107.297 * [backup-simplify]: Simplify 1 into 1
107.297 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
107.297 * [taylor]: Taking taylor expansion of 1/4 in U
107.297 * [backup-simplify]: Simplify 1/4 into 1/4
107.297 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
107.297 * [taylor]: Taking taylor expansion of (pow J 2) in U
107.297 * [taylor]: Taking taylor expansion of J in U
107.297 * [backup-simplify]: Simplify J into J
107.297 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
107.297 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
107.297 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
107.297 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
107.297 * [taylor]: Taking taylor expansion of -1/2 in U
107.297 * [backup-simplify]: Simplify -1/2 into -1/2
107.297 * [taylor]: Taking taylor expansion of K in U
107.297 * [backup-simplify]: Simplify K into K
107.297 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
107.297 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
107.297 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
107.297 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
107.297 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
107.298 * [backup-simplify]: Simplify (- 0) into 0
107.298 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
107.298 * [taylor]: Taking taylor expansion of (pow U 2) in U
107.298 * [taylor]: Taking taylor expansion of U in U
107.298 * [backup-simplify]: Simplify 0 into 0
107.298 * [backup-simplify]: Simplify 1 into 1
107.298 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.298 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
107.298 * [backup-simplify]: Simplify (* 1 1) into 1
107.298 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
107.298 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
107.298 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
107.299 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
107.299 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
107.299 * [backup-simplify]: Simplify (sqrt (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
107.299 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
107.299 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
107.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.300 * [backup-simplify]: Simplify (+ 0) into 0
107.300 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
107.300 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
107.301 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
107.301 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
107.301 * [backup-simplify]: Simplify (- 0) into 0
107.302 * [backup-simplify]: Simplify (+ 0 0) into 0
107.302 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
107.302 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
107.302 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (* 0 1)) into 0
107.302 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
107.303 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) into 0
107.303 * [backup-simplify]: Simplify (+ 0 0) into 0
107.303 * [backup-simplify]: Simplify (+ 0 0) into 0
107.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))))) into 0
107.304 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K
107.304 * [taylor]: Taking taylor expansion of 1/4 in K
107.304 * [backup-simplify]: Simplify 1/4 into 1/4
107.304 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K
107.304 * [taylor]: Taking taylor expansion of (pow J 2) in K
107.304 * [taylor]: Taking taylor expansion of J in K
107.304 * [backup-simplify]: Simplify J into J
107.304 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
107.304 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
107.304 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
107.304 * [taylor]: Taking taylor expansion of -1/2 in K
107.304 * [backup-simplify]: Simplify -1/2 into -1/2
107.304 * [taylor]: Taking taylor expansion of K in K
107.304 * [backup-simplify]: Simplify 0 into 0
107.304 * [backup-simplify]: Simplify 1 into 1
107.304 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
107.304 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
107.304 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.304 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
107.304 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
107.304 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
107.304 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J
107.304 * [taylor]: Taking taylor expansion of 1/4 in J
107.304 * [backup-simplify]: Simplify 1/4 into 1/4
107.304 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J
107.304 * [taylor]: Taking taylor expansion of (pow J 2) in J
107.305 * [taylor]: Taking taylor expansion of J in J
107.305 * [backup-simplify]: Simplify 0 into 0
107.305 * [backup-simplify]: Simplify 1 into 1
107.305 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
107.305 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
107.305 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
107.305 * [taylor]: Taking taylor expansion of -1/2 in J
107.305 * [backup-simplify]: Simplify -1/2 into -1/2
107.305 * [taylor]: Taking taylor expansion of K in J
107.305 * [backup-simplify]: Simplify K into K
107.305 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
107.305 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
107.305 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
107.305 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
107.305 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
107.305 * [backup-simplify]: Simplify (- 0) into 0
107.305 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
107.305 * [backup-simplify]: Simplify (* 1 1) into 1
107.305 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
107.306 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2))
107.306 * [taylor]: Taking taylor expansion of 0 in K
107.306 * [backup-simplify]: Simplify 0 into 0
107.306 * [taylor]: Taking taylor expansion of 0 in J
107.306 * [backup-simplify]: Simplify 0 into 0
107.306 * [backup-simplify]: Simplify 0 into 0
107.306 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
107.306 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
107.306 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
107.306 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
107.306 * [taylor]: Taking taylor expansion of 0 in J
107.306 * [backup-simplify]: Simplify 0 into 0
107.306 * [backup-simplify]: Simplify 0 into 0
107.307 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
107.307 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
107.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
107.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
107.309 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
107.309 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
107.309 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
107.310 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
107.310 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
107.310 * [backup-simplify]: Simplify (- 0) into 0
107.311 * [backup-simplify]: Simplify (+ 0 0) into 0
107.311 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
107.311 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
107.312 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (+ (* 0 0) (* 0 1))) into 0
107.312 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
107.313 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))) into 0
107.313 * [backup-simplify]: Simplify (+ 0 0) into 0
107.313 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
107.313 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))
107.314 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))
107.314 * [backup-simplify]: Simplify (/ (- (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (pow 0 2) (+)) (* 2 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into -1/2
107.314 * [taylor]: Taking taylor expansion of -1/2 in K
107.314 * [backup-simplify]: Simplify -1/2 into -1/2
107.314 * [taylor]: Taking taylor expansion of -1/2 in J
107.314 * [backup-simplify]: Simplify -1/2 into -1/2
107.315 * [backup-simplify]: Simplify -1/2 into -1/2
107.315 * [taylor]: Taking taylor expansion of 0 in J
107.315 * [backup-simplify]: Simplify 0 into 0
107.315 * [backup-simplify]: Simplify 0 into 0
107.315 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
107.315 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
107.316 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
107.316 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
107.316 * [taylor]: Taking taylor expansion of 0 in J
107.316 * [backup-simplify]: Simplify 0 into 0
107.316 * [backup-simplify]: Simplify 0 into 0
107.316 * [backup-simplify]: Simplify 0 into 0
107.316 * [backup-simplify]: Simplify 0 into 0
107.316 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
107.316 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
107.317 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
107.317 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0
107.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
107.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
107.319 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
107.320 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
107.320 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
107.321 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
107.321 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
107.321 * [backup-simplify]: Simplify (- 0) into 0
107.322 * [backup-simplify]: Simplify (+ 0 0) into 0
107.322 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
107.323 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2))))) into 0
107.323 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
107.324 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
107.324 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))))) into 0
107.325 * [backup-simplify]: Simplify (+ 0 0) into 0
107.325 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
107.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.326 * [backup-simplify]: Simplify (+ 0) into 0
107.326 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
107.326 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
107.327 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
107.327 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
107.328 * [backup-simplify]: Simplify (- 0) into 0
107.328 * [backup-simplify]: Simplify (+ 0 0) into 0
107.328 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
107.329 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
107.329 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
107.330 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
107.330 * [backup-simplify]: Simplify (- 0) into 0
107.330 * [backup-simplify]: Simplify (+ 0 0) into 0
107.332 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
107.332 * [taylor]: Taking taylor expansion of 0 in K
107.332 * [backup-simplify]: Simplify 0 into 0
107.332 * [taylor]: Taking taylor expansion of 0 in J
107.332 * [backup-simplify]: Simplify 0 into 0
107.332 * [backup-simplify]: Simplify 0 into 0
107.332 * [taylor]: Taking taylor expansion of 0 in J
107.332 * [backup-simplify]: Simplify 0 into 0
107.332 * [backup-simplify]: Simplify 0 into 0
107.332 * [taylor]: Taking taylor expansion of 0 in J
107.332 * [backup-simplify]: Simplify 0 into 0
107.332 * [backup-simplify]: Simplify 0 into 0
107.333 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
107.334 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
107.334 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
107.336 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
107.336 * [taylor]: Taking taylor expansion of 0 in J
107.336 * [backup-simplify]: Simplify 0 into 0
107.336 * [backup-simplify]: Simplify 0 into 0
107.336 * [backup-simplify]: Simplify 0 into 0
107.336 * [backup-simplify]: Simplify 0 into 0
107.336 * [backup-simplify]: Simplify (+ (* (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)) (pow (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U))))) 2)) -1/2) into (- (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1/2)
107.336 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1)
107.338 * [backup-simplify]: Simplify (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) into (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1)))
107.338 * [approximate]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1))) in (U K J) around 0
107.338 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1))) in J
107.338 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
107.338 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
107.338 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
107.338 * [taylor]: Taking taylor expansion of 1/2 in J
107.338 * [backup-simplify]: Simplify 1/2 into 1/2
107.338 * [taylor]: Taking taylor expansion of K in J
107.338 * [backup-simplify]: Simplify K into K
107.338 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
107.338 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
107.338 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
107.338 * [taylor]: Taking taylor expansion of J in J
107.338 * [backup-simplify]: Simplify 0 into 0
107.338 * [backup-simplify]: Simplify 1 into 1
107.338 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1)) in J
107.338 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) in J
107.338 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) in J
107.338 * [taylor]: Taking taylor expansion of 1/64 in J
107.338 * [backup-simplify]: Simplify 1/64 into 1/64
107.338 * [taylor]: Taking taylor expansion of (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6))) in J
107.338 * [taylor]: Taking taylor expansion of (pow U 6) in J
107.338 * [taylor]: Taking taylor expansion of U in J
107.338 * [backup-simplify]: Simplify U into U
107.338 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 6) (pow J 6)) in J
107.338 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 6) in J
107.338 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
107.338 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
107.338 * [taylor]: Taking taylor expansion of 1/2 in J
107.338 * [backup-simplify]: Simplify 1/2 into 1/2
107.338 * [taylor]: Taking taylor expansion of K in J
107.338 * [backup-simplify]: Simplify K into K
107.339 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
107.339 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
107.339 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
107.339 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
107.339 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
107.339 * [backup-simplify]: Simplify (- 0) into 0
107.339 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
107.339 * [taylor]: Taking taylor expansion of (pow J 6) in J
107.339 * [taylor]: Taking taylor expansion of J in J
107.339 * [backup-simplify]: Simplify 0 into 0
107.339 * [backup-simplify]: Simplify 1 into 1
107.340 * [backup-simplify]: Simplify (* U U) into (pow U 2)
107.340 * [backup-simplify]: Simplify (* U (pow U 2)) into (pow U 3)
107.340 * [backup-simplify]: Simplify (* (pow U 3) (pow U 3)) into (pow U 6)
107.340 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
107.340 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 3)
107.340 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 3) (pow (cos (* 1/2 K)) 3)) into (pow (cos (* 1/2 K)) 6)
107.341 * [backup-simplify]: Simplify (* 1 1) into 1
107.341 * [backup-simplify]: Simplify (* 1 1) into 1
107.341 * [backup-simplify]: Simplify (* 1 1) into 1
107.342 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 6) 1) into (pow (cos (* 1/2 K)) 6)
107.342 * [backup-simplify]: Simplify (/ (pow U 6) (pow (cos (* 1/2 K)) 6)) into (/ (pow U 6) (pow (cos (* 1/2 K)) 6))
107.342 * [taylor]: Taking taylor expansion of 1 in J
107.342 * [backup-simplify]: Simplify 1 into 1
107.342 * [backup-simplify]: Simplify (* 1/64 (/ (pow U 6) (pow (cos (* 1/2 K)) 6))) into (* 1/64 (/ (pow U 6) (pow (cos (* 1/2 K)) 6)))
107.342 * [backup-simplify]: Simplify (+ (* 1/64 (/ (pow U 6) (pow (cos (* 1/2 K)) 6))) 0) into (* 1/64 (/ (pow U 6) (pow (cos (* 1/2 K)) 6)))
107.343 * [backup-simplify]: Simplify (sqrt (* 1/64 (/ (pow U 6) (pow (cos (* 1/2 K)) 6)))) into (* 1/8 (/ (pow U 3) (pow (cos (* 1/2 K)) 3)))
107.343 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
107.343 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (pow U 2))) into 0
107.343 * [backup-simplify]: Simplify (+ (* (pow U 3) 0) (* 0 (pow U 3))) into 0
107.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.345 * [backup-simplify]: Simplify (+ 0) into 0
107.346 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
107.346 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
107.347 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
107.347 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
107.348 * [backup-simplify]: Simplify (- 0) into 0
107.348 * [backup-simplify]: Simplify (+ 0 0) into 0
107.348 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
107.349 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (pow (cos (* 1/2 K)) 2))) into 0
107.349 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 3) 0) (* 0 (pow (cos (* 1/2 K)) 3))) into 0
107.349 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 6) 0) (* 0 1)) into 0
107.350 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 6)) (+ (* (/ (pow U 6) (pow (cos (* 1/2 K)) 6)) (/ 0 (pow (cos (* 1/2 K)) 6))))) into 0
107.350 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow U 6) (pow (cos (* 1/2 K)) 6)))) into 0
107.355 * [backup-simplify]: Simplify (+ 0 0) into 0
107.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/64 (/ (pow U 6) (pow (cos (* 1/2 K)) 6)))))) into 0
107.355 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1))) in K
107.355 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
107.355 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
107.355 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
107.355 * [taylor]: Taking taylor expansion of 1/2 in K
107.355 * [backup-simplify]: Simplify 1/2 into 1/2
107.355 * [taylor]: Taking taylor expansion of K in K
107.355 * [backup-simplify]: Simplify 0 into 0
107.355 * [backup-simplify]: Simplify 1 into 1
107.356 * [backup-simplify]: Simplify (* 1/2 0) into 0
107.357 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
107.357 * [taylor]: Taking taylor expansion of J in K
107.357 * [backup-simplify]: Simplify J into J
107.357 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1)) in K
107.357 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) in K
107.357 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) in K
107.357 * [taylor]: Taking taylor expansion of 1/64 in K
107.357 * [backup-simplify]: Simplify 1/64 into 1/64
107.357 * [taylor]: Taking taylor expansion of (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6))) in K
107.357 * [taylor]: Taking taylor expansion of (pow U 6) in K
107.357 * [taylor]: Taking taylor expansion of U in K
107.357 * [backup-simplify]: Simplify U into U
107.357 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 6) (pow J 6)) in K
107.357 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 6) in K
107.357 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
107.357 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
107.357 * [taylor]: Taking taylor expansion of 1/2 in K
107.357 * [backup-simplify]: Simplify 1/2 into 1/2
107.357 * [taylor]: Taking taylor expansion of K in K
107.357 * [backup-simplify]: Simplify 0 into 0
107.357 * [backup-simplify]: Simplify 1 into 1
107.358 * [backup-simplify]: Simplify (* 1/2 0) into 0
107.359 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
107.359 * [taylor]: Taking taylor expansion of (pow J 6) in K
107.359 * [taylor]: Taking taylor expansion of J in K
107.359 * [backup-simplify]: Simplify J into J
107.359 * [backup-simplify]: Simplify (* U U) into (pow U 2)
107.359 * [backup-simplify]: Simplify (* U (pow U 2)) into (pow U 3)
107.359 * [backup-simplify]: Simplify (* (pow U 3) (pow U 3)) into (pow U 6)
107.359 * [backup-simplify]: Simplify (* 1 1) into 1
107.360 * [backup-simplify]: Simplify (* 1 1) into 1
107.360 * [backup-simplify]: Simplify (* 1 1) into 1
107.360 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.360 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
107.360 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
107.361 * [backup-simplify]: Simplify (* 1 (pow J 6)) into (pow J 6)
107.361 * [backup-simplify]: Simplify (/ (pow U 6) (pow J 6)) into (/ (pow U 6) (pow J 6))
107.361 * [taylor]: Taking taylor expansion of 1 in K
107.361 * [backup-simplify]: Simplify 1 into 1
107.361 * [backup-simplify]: Simplify (* 1/64 (/ (pow U 6) (pow J 6))) into (* 1/64 (/ (pow U 6) (pow J 6)))
107.361 * [backup-simplify]: Simplify (+ (* 1/64 (/ (pow U 6) (pow J 6))) 1) into (+ (* 1/64 (/ (pow U 6) (pow J 6))) 1)
107.361 * [backup-simplify]: Simplify (sqrt (+ (* 1/64 (/ (pow U 6) (pow J 6))) 1)) into (sqrt (+ (* 1/64 (/ (pow U 6) (pow J 6))) 1))
107.362 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
107.362 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (pow U 2))) into 0
107.362 * [backup-simplify]: Simplify (+ (* (pow U 3) 0) (* 0 (pow U 3))) into 0
107.362 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
107.362 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (pow J 2))) into 0
107.362 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (* 0 (pow J 3))) into 0
107.363 * [backup-simplify]: Simplify (+ 0) into 0
107.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 6))) into 0
107.366 * [backup-simplify]: Simplify (- (/ 0 (pow J 6)) (+ (* (/ (pow U 6) (pow J 6)) (/ 0 (pow J 6))))) into 0
107.366 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow U 6) (pow J 6)))) into 0
107.367 * [backup-simplify]: Simplify (+ 0 0) into 0
107.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/64 (/ (pow U 6) (pow J 6))) 1)))) into 0
107.367 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1))) in U
107.367 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
107.367 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
107.367 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
107.367 * [taylor]: Taking taylor expansion of 1/2 in U
107.367 * [backup-simplify]: Simplify 1/2 into 1/2
107.367 * [taylor]: Taking taylor expansion of K in U
107.367 * [backup-simplify]: Simplify K into K
107.367 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
107.367 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
107.367 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
107.367 * [taylor]: Taking taylor expansion of J in U
107.367 * [backup-simplify]: Simplify J into J
107.368 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1)) in U
107.368 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) in U
107.368 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) in U
107.368 * [taylor]: Taking taylor expansion of 1/64 in U
107.368 * [backup-simplify]: Simplify 1/64 into 1/64
107.368 * [taylor]: Taking taylor expansion of (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6))) in U
107.368 * [taylor]: Taking taylor expansion of (pow U 6) in U
107.368 * [taylor]: Taking taylor expansion of U in U
107.368 * [backup-simplify]: Simplify 0 into 0
107.368 * [backup-simplify]: Simplify 1 into 1
107.368 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 6) (pow J 6)) in U
107.368 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 6) in U
107.368 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
107.368 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
107.368 * [taylor]: Taking taylor expansion of 1/2 in U
107.368 * [backup-simplify]: Simplify 1/2 into 1/2
107.368 * [taylor]: Taking taylor expansion of K in U
107.368 * [backup-simplify]: Simplify K into K
107.368 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
107.368 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
107.368 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
107.368 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
107.368 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
107.369 * [backup-simplify]: Simplify (- 0) into 0
107.369 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
107.369 * [taylor]: Taking taylor expansion of (pow J 6) in U
107.369 * [taylor]: Taking taylor expansion of J in U
107.369 * [backup-simplify]: Simplify J into J
107.369 * [backup-simplify]: Simplify (* 1 1) into 1
107.370 * [backup-simplify]: Simplify (* 1 1) into 1
107.370 * [backup-simplify]: Simplify (* 1 1) into 1
107.370 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
107.370 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 3)
107.371 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 3) (pow (cos (* 1/2 K)) 3)) into (pow (cos (* 1/2 K)) 6)
107.371 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.371 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
107.371 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
107.371 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 6) (pow J 6)) into (* (pow (cos (* 1/2 K)) 6) (pow J 6))
107.371 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 6) (pow J 6))) into (/ 1 (* (pow (cos (* 1/2 K)) 6) (pow J 6)))
107.371 * [taylor]: Taking taylor expansion of 1 in U
107.371 * [backup-simplify]: Simplify 1 into 1
107.372 * [backup-simplify]: Simplify (+ 0 1) into 1
107.372 * [backup-simplify]: Simplify (sqrt 1) into 1
107.372 * [backup-simplify]: Simplify (+ 0 0) into 0
107.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
107.373 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1))) in U
107.373 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
107.373 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
107.373 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
107.373 * [taylor]: Taking taylor expansion of 1/2 in U
107.373 * [backup-simplify]: Simplify 1/2 into 1/2
107.373 * [taylor]: Taking taylor expansion of K in U
107.373 * [backup-simplify]: Simplify K into K
107.373 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
107.373 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
107.374 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
107.374 * [taylor]: Taking taylor expansion of J in U
107.374 * [backup-simplify]: Simplify J into J
107.374 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1)) in U
107.374 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) in U
107.374 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) in U
107.374 * [taylor]: Taking taylor expansion of 1/64 in U
107.374 * [backup-simplify]: Simplify 1/64 into 1/64
107.374 * [taylor]: Taking taylor expansion of (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6))) in U
107.374 * [taylor]: Taking taylor expansion of (pow U 6) in U
107.374 * [taylor]: Taking taylor expansion of U in U
107.374 * [backup-simplify]: Simplify 0 into 0
107.374 * [backup-simplify]: Simplify 1 into 1
107.374 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 6) (pow J 6)) in U
107.374 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 6) in U
107.374 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
107.374 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
107.374 * [taylor]: Taking taylor expansion of 1/2 in U
107.374 * [backup-simplify]: Simplify 1/2 into 1/2
107.374 * [taylor]: Taking taylor expansion of K in U
107.374 * [backup-simplify]: Simplify K into K
107.374 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
107.374 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
107.374 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
107.374 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
107.374 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
107.375 * [backup-simplify]: Simplify (- 0) into 0
107.375 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
107.375 * [taylor]: Taking taylor expansion of (pow J 6) in U
107.375 * [taylor]: Taking taylor expansion of J in U
107.375 * [backup-simplify]: Simplify J into J
107.375 * [backup-simplify]: Simplify (* 1 1) into 1
107.376 * [backup-simplify]: Simplify (* 1 1) into 1
107.377 * [backup-simplify]: Simplify (* 1 1) into 1
107.377 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
107.377 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 3)
107.377 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 3) (pow (cos (* 1/2 K)) 3)) into (pow (cos (* 1/2 K)) 6)
107.377 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.377 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
107.378 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
107.378 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 6) (pow J 6)) into (* (pow (cos (* 1/2 K)) 6) (pow J 6))
107.378 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 6) (pow J 6))) into (/ 1 (* (pow (cos (* 1/2 K)) 6) (pow J 6)))
107.378 * [taylor]: Taking taylor expansion of 1 in U
107.378 * [backup-simplify]: Simplify 1 into 1
107.378 * [backup-simplify]: Simplify (+ 0 1) into 1
107.379 * [backup-simplify]: Simplify (sqrt 1) into 1
107.379 * [backup-simplify]: Simplify (+ 0 0) into 0
107.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
107.380 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
107.380 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
107.380 * [backup-simplify]: Simplify (- 0) into 0
107.381 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
107.381 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J)
107.381 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J)
107.381 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
107.381 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
107.381 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
107.381 * [taylor]: Taking taylor expansion of 1/2 in K
107.381 * [backup-simplify]: Simplify 1/2 into 1/2
107.381 * [taylor]: Taking taylor expansion of K in K
107.381 * [backup-simplify]: Simplify 0 into 0
107.381 * [backup-simplify]: Simplify 1 into 1
107.381 * [backup-simplify]: Simplify (* 1/2 0) into 0
107.382 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
107.382 * [taylor]: Taking taylor expansion of J in K
107.382 * [backup-simplify]: Simplify J into J
107.382 * [backup-simplify]: Simplify (* 1 J) into J
107.382 * [taylor]: Taking taylor expansion of J in J
107.382 * [backup-simplify]: Simplify 0 into 0
107.382 * [backup-simplify]: Simplify 1 into 1
107.383 * [backup-simplify]: Simplify (+ 0) into 0
107.383 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
107.384 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
107.385 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
107.385 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
107.386 * [backup-simplify]: Simplify (- 0) into 0
107.386 * [backup-simplify]: Simplify (+ 0 0) into 0
107.386 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0
107.387 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0
107.387 * [taylor]: Taking taylor expansion of 0 in K
107.387 * [backup-simplify]: Simplify 0 into 0
107.387 * [taylor]: Taking taylor expansion of 0 in J
107.387 * [backup-simplify]: Simplify 0 into 0
107.387 * [backup-simplify]: Simplify (+ 0) into 0
107.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0
107.388 * [taylor]: Taking taylor expansion of 0 in J
107.388 * [backup-simplify]: Simplify 0 into 0
107.388 * [backup-simplify]: Simplify (+ 0 0) into 0
107.389 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0
107.390 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
107.391 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
107.392 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
107.393 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
107.393 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
107.393 * [backup-simplify]: Simplify (- 0) into 0
107.394 * [backup-simplify]: Simplify (+ 0 0) into 0
107.394 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0
107.395 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 0) (* 0 1))) into 0
107.395 * [taylor]: Taking taylor expansion of 0 in K
107.395 * [backup-simplify]: Simplify 0 into 0
107.395 * [taylor]: Taking taylor expansion of 0 in J
107.395 * [backup-simplify]: Simplify 0 into 0
107.395 * [taylor]: Taking taylor expansion of 0 in J
107.395 * [backup-simplify]: Simplify 0 into 0
107.396 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
107.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J))
107.397 * [taylor]: Taking taylor expansion of (- (* 1/8 J)) in J
107.397 * [taylor]: Taking taylor expansion of (* 1/8 J) in J
107.397 * [taylor]: Taking taylor expansion of 1/8 in J
107.397 * [backup-simplify]: Simplify 1/8 into 1/8
107.397 * [taylor]: Taking taylor expansion of J in J
107.397 * [backup-simplify]: Simplify 0 into 0
107.397 * [backup-simplify]: Simplify 1 into 1
107.398 * [backup-simplify]: Simplify (+ 0 0) into 0
107.399 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0
107.400 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
107.401 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
107.402 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
107.404 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
107.404 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
107.405 * [backup-simplify]: Simplify (- 0) into 0
107.405 * [backup-simplify]: Simplify (+ 0 0) into 0
107.406 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
107.407 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
107.407 * [taylor]: Taking taylor expansion of 0 in K
107.407 * [backup-simplify]: Simplify 0 into 0
107.407 * [taylor]: Taking taylor expansion of 0 in J
107.407 * [backup-simplify]: Simplify 0 into 0
107.407 * [taylor]: Taking taylor expansion of 0 in J
107.407 * [backup-simplify]: Simplify 0 into 0
107.407 * [taylor]: Taking taylor expansion of 0 in J
107.407 * [backup-simplify]: Simplify 0 into 0
107.408 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
107.409 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
107.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0
107.411 * [taylor]: Taking taylor expansion of 0 in J
107.411 * [backup-simplify]: Simplify 0 into 0
107.411 * [backup-simplify]: Simplify 0 into 0
107.411 * [backup-simplify]: Simplify (+ 0 0) into 0
107.413 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into 0
107.415 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
107.416 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
107.417 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0
107.419 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
107.420 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
107.420 * [backup-simplify]: Simplify (- 0) into 0
107.420 * [backup-simplify]: Simplify (+ 0 0) into 0
107.422 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0
107.423 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
107.423 * [taylor]: Taking taylor expansion of 0 in K
107.423 * [backup-simplify]: Simplify 0 into 0
107.423 * [taylor]: Taking taylor expansion of 0 in J
107.423 * [backup-simplify]: Simplify 0 into 0
107.423 * [taylor]: Taking taylor expansion of 0 in J
107.423 * [backup-simplify]: Simplify 0 into 0
107.423 * [taylor]: Taking taylor expansion of 0 in J
107.423 * [backup-simplify]: Simplify 0 into 0
107.423 * [taylor]: Taking taylor expansion of 0 in J
107.423 * [backup-simplify]: Simplify 0 into 0
107.424 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
107.427 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
107.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J)
107.429 * [taylor]: Taking taylor expansion of (* 1/384 J) in J
107.429 * [taylor]: Taking taylor expansion of 1/384 in J
107.429 * [backup-simplify]: Simplify 1/384 into 1/384
107.429 * [taylor]: Taking taylor expansion of J in J
107.429 * [backup-simplify]: Simplify 0 into 0
107.429 * [backup-simplify]: Simplify 1 into 1
107.429 * [backup-simplify]: Simplify 0 into 0
107.429 * [backup-simplify]: Simplify 0 into 0
107.429 * [backup-simplify]: Simplify 1 into 1
107.430 * [backup-simplify]: Simplify (+ 0 0) into 0
107.431 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 1)) into 0
107.433 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
107.434 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
107.436 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))))) into 0
107.438 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 5) 120)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
107.439 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))))) into 0
107.440 * [backup-simplify]: Simplify (- 0) into 0
107.440 * [backup-simplify]: Simplify (+ 0 0) into 0
107.442 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))))) into 0
107.443 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
107.443 * [taylor]: Taking taylor expansion of 0 in K
107.443 * [backup-simplify]: Simplify 0 into 0
107.443 * [taylor]: Taking taylor expansion of 0 in J
107.443 * [backup-simplify]: Simplify 0 into 0
107.443 * [taylor]: Taking taylor expansion of 0 in J
107.443 * [backup-simplify]: Simplify 0 into 0
107.443 * [taylor]: Taking taylor expansion of 0 in J
107.443 * [backup-simplify]: Simplify 0 into 0
107.443 * [taylor]: Taking taylor expansion of 0 in J
107.443 * [backup-simplify]: Simplify 0 into 0
107.443 * [taylor]: Taking taylor expansion of 0 in J
107.443 * [backup-simplify]: Simplify 0 into 0
107.445 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
107.447 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 1/2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
107.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (+ (* 1/384 0) (* 0 J)))))) into 0
107.449 * [taylor]: Taking taylor expansion of 0 in J
107.449 * [backup-simplify]: Simplify 0 into 0
107.450 * [backup-simplify]: Simplify 0 into 0
107.450 * [backup-simplify]: Simplify 0 into 0
107.450 * [backup-simplify]: Simplify (* 1/8 0) into 0
107.451 * [backup-simplify]: Simplify (- 0) into 0
107.451 * [backup-simplify]: Simplify 0 into 0
107.451 * [backup-simplify]: Simplify 0 into 0
107.451 * [backup-simplify]: Simplify 0 into 0
107.451 * [backup-simplify]: Simplify 0 into 0
107.451 * [backup-simplify]: Simplify (* 1 (* J (* 1 1))) into J
107.453 * [backup-simplify]: Simplify (* (sqrt (+ 1 (* (* (* (/ (/ 1 U) (* (* (cos (/ (/ 1 K) 2)) (/ 1 J)) 2)) (/ (/ 1 U) (* (* (cos (/ (/ 1 K) 2)) (/ 1 J)) 2))) (* (/ (/ 1 U) (* (* (cos (/ (/ 1 K) 2)) (/ 1 J)) 2)) (/ (/ 1 U) (* (* (cos (/ (/ 1 K) 2)) (/ 1 J)) 2)))) (* (/ (/ 1 U) (* (* (cos (/ (/ 1 K) 2)) (/ 1 J)) 2)) (/ (/ 1 U) (* (* (cos (/ (/ 1 K) 2)) (/ 1 J)) 2)))))) (* (cos (/ (/ 1 K) 2)) (/ 1 J))) into (* (/ (cos (/ 1/2 K)) J) (sqrt (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))))))
107.453 * [approximate]: Taking taylor expansion of (* (/ (cos (/ 1/2 K)) J) (sqrt (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))))) in (U K J) around 0
107.453 * [taylor]: Taking taylor expansion of (* (/ (cos (/ 1/2 K)) J) (sqrt (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))))) in J
107.453 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
107.453 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
107.453 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
107.453 * [taylor]: Taking taylor expansion of 1/2 in J
107.453 * [backup-simplify]: Simplify 1/2 into 1/2
107.453 * [taylor]: Taking taylor expansion of K in J
107.453 * [backup-simplify]: Simplify K into K
107.453 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
107.453 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
107.453 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
107.453 * [taylor]: Taking taylor expansion of J in J
107.453 * [backup-simplify]: Simplify 0 into 0
107.453 * [backup-simplify]: Simplify 1 into 1
107.454 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
107.454 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
107.454 * [backup-simplify]: Simplify (- 0) into 0
107.454 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
107.454 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
107.454 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))))) in J
107.454 * [taylor]: Taking taylor expansion of (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) in J
107.454 * [taylor]: Taking taylor expansion of 1 in J
107.454 * [backup-simplify]: Simplify 1 into 1
107.454 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))) in J
107.454 * [taylor]: Taking taylor expansion of 1/64 in J
107.454 * [backup-simplify]: Simplify 1/64 into 1/64
107.454 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) in J
107.454 * [taylor]: Taking taylor expansion of (pow J 6) in J
107.455 * [taylor]: Taking taylor expansion of J in J
107.455 * [backup-simplify]: Simplify 0 into 0
107.455 * [backup-simplify]: Simplify 1 into 1
107.455 * [taylor]: Taking taylor expansion of (* (pow U 6) (pow (cos (/ 1/2 K)) 6)) in J
107.455 * [taylor]: Taking taylor expansion of (pow U 6) in J
107.455 * [taylor]: Taking taylor expansion of U in J
107.455 * [backup-simplify]: Simplify U into U
107.455 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 6) in J
107.455 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
107.455 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
107.455 * [taylor]: Taking taylor expansion of 1/2 in J
107.455 * [backup-simplify]: Simplify 1/2 into 1/2
107.455 * [taylor]: Taking taylor expansion of K in J
107.455 * [backup-simplify]: Simplify K into K
107.455 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
107.455 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
107.455 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
107.455 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
107.455 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
107.456 * [backup-simplify]: Simplify (- 0) into 0
107.456 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
107.456 * [backup-simplify]: Simplify (* 1 1) into 1
107.456 * [backup-simplify]: Simplify (* 1 1) into 1
107.457 * [backup-simplify]: Simplify (* 1 1) into 1
107.457 * [backup-simplify]: Simplify (* U U) into (pow U 2)
107.457 * [backup-simplify]: Simplify (* U (pow U 2)) into (pow U 3)
107.457 * [backup-simplify]: Simplify (* (pow U 3) (pow U 3)) into (pow U 6)
107.457 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
107.457 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 3)
107.458 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 3) (pow (cos (/ 1/2 K)) 3)) into (pow (cos (/ 1/2 K)) 6)
107.458 * [backup-simplify]: Simplify (* (pow U 6) (pow (cos (/ 1/2 K)) 6)) into (* (pow U 6) (pow (cos (/ 1/2 K)) 6))
107.458 * [backup-simplify]: Simplify (/ 1 (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) into (/ 1 (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))
107.458 * [backup-simplify]: Simplify (+ 1 0) into 1
107.459 * [backup-simplify]: Simplify (sqrt 1) into 1
107.459 * [backup-simplify]: Simplify (+ 0 0) into 0
107.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
107.460 * [taylor]: Taking taylor expansion of (* (/ (cos (/ 1/2 K)) J) (sqrt (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))))) in K
107.460 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
107.460 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
107.460 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
107.460 * [taylor]: Taking taylor expansion of 1/2 in K
107.460 * [backup-simplify]: Simplify 1/2 into 1/2
107.460 * [taylor]: Taking taylor expansion of K in K
107.460 * [backup-simplify]: Simplify 0 into 0
107.461 * [backup-simplify]: Simplify 1 into 1
107.461 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
107.461 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
107.461 * [taylor]: Taking taylor expansion of J in K
107.461 * [backup-simplify]: Simplify J into J
107.461 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
107.461 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))))) in K
107.461 * [taylor]: Taking taylor expansion of (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) in K
107.461 * [taylor]: Taking taylor expansion of 1 in K
107.461 * [backup-simplify]: Simplify 1 into 1
107.461 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))) in K
107.461 * [taylor]: Taking taylor expansion of 1/64 in K
107.461 * [backup-simplify]: Simplify 1/64 into 1/64
107.461 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) in K
107.461 * [taylor]: Taking taylor expansion of (pow J 6) in K
107.462 * [taylor]: Taking taylor expansion of J in K
107.462 * [backup-simplify]: Simplify J into J
107.462 * [taylor]: Taking taylor expansion of (* (pow U 6) (pow (cos (/ 1/2 K)) 6)) in K
107.462 * [taylor]: Taking taylor expansion of (pow U 6) in K
107.462 * [taylor]: Taking taylor expansion of U in K
107.462 * [backup-simplify]: Simplify U into U
107.462 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 6) in K
107.462 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
107.462 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
107.462 * [taylor]: Taking taylor expansion of 1/2 in K
107.462 * [backup-simplify]: Simplify 1/2 into 1/2
107.462 * [taylor]: Taking taylor expansion of K in K
107.462 * [backup-simplify]: Simplify 0 into 0
107.462 * [backup-simplify]: Simplify 1 into 1
107.462 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
107.462 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
107.462 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.463 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
107.463 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
107.463 * [backup-simplify]: Simplify (* U U) into (pow U 2)
107.463 * [backup-simplify]: Simplify (* U (pow U 2)) into (pow U 3)
107.463 * [backup-simplify]: Simplify (* (pow U 3) (pow U 3)) into (pow U 6)
107.463 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
107.463 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 3)
107.463 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 3) (pow (cos (/ 1/2 K)) 3)) into (pow (cos (/ 1/2 K)) 6)
107.464 * [backup-simplify]: Simplify (* (pow U 6) (pow (cos (/ 1/2 K)) 6)) into (* (pow U 6) (pow (cos (/ 1/2 K)) 6))
107.464 * [backup-simplify]: Simplify (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) into (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))
107.464 * [backup-simplify]: Simplify (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))) into (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))
107.464 * [backup-simplify]: Simplify (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) into (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))))
107.465 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))))) into (sqrt (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))))
107.465 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
107.465 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (pow J 2))) into 0
107.465 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (* 0 (pow J 3))) into 0
107.465 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
107.465 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
107.466 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 3) 0) (* 0 (pow (cos (/ 1/2 K)) 3))) into 0
107.466 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
107.466 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (pow U 2))) into 0
107.466 * [backup-simplify]: Simplify (+ (* (pow U 3) 0) (* 0 (pow U 3))) into 0
107.466 * [backup-simplify]: Simplify (+ (* (pow U 6) 0) (* 0 (pow (cos (/ 1/2 K)) 6))) into 0
107.467 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) (+ (* (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) (/ 0 (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))))) into 0
107.468 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) into 0
107.468 * [backup-simplify]: Simplify (+ 0 0) into 0
107.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))))))) into 0
107.469 * [taylor]: Taking taylor expansion of (* (/ (cos (/ 1/2 K)) J) (sqrt (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))))) in U
107.469 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
107.469 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
107.469 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
107.469 * [taylor]: Taking taylor expansion of 1/2 in U
107.469 * [backup-simplify]: Simplify 1/2 into 1/2
107.469 * [taylor]: Taking taylor expansion of K in U
107.469 * [backup-simplify]: Simplify K into K
107.469 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
107.469 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
107.469 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
107.469 * [taylor]: Taking taylor expansion of J in U
107.469 * [backup-simplify]: Simplify J into J
107.469 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
107.469 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
107.470 * [backup-simplify]: Simplify (- 0) into 0
107.470 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
107.470 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
107.470 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))))) in U
107.470 * [taylor]: Taking taylor expansion of (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) in U
107.470 * [taylor]: Taking taylor expansion of 1 in U
107.470 * [backup-simplify]: Simplify 1 into 1
107.470 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))) in U
107.470 * [taylor]: Taking taylor expansion of 1/64 in U
107.470 * [backup-simplify]: Simplify 1/64 into 1/64
107.470 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) in U
107.470 * [taylor]: Taking taylor expansion of (pow J 6) in U
107.470 * [taylor]: Taking taylor expansion of J in U
107.470 * [backup-simplify]: Simplify J into J
107.470 * [taylor]: Taking taylor expansion of (* (pow U 6) (pow (cos (/ 1/2 K)) 6)) in U
107.470 * [taylor]: Taking taylor expansion of (pow U 6) in U
107.470 * [taylor]: Taking taylor expansion of U in U
107.470 * [backup-simplify]: Simplify 0 into 0
107.470 * [backup-simplify]: Simplify 1 into 1
107.470 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 6) in U
107.470 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
107.470 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
107.471 * [taylor]: Taking taylor expansion of 1/2 in U
107.471 * [backup-simplify]: Simplify 1/2 into 1/2
107.471 * [taylor]: Taking taylor expansion of K in U
107.471 * [backup-simplify]: Simplify K into K
107.471 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
107.471 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
107.471 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
107.471 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
107.471 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
107.471 * [backup-simplify]: Simplify (- 0) into 0
107.471 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
107.472 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.472 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
107.472 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
107.472 * [backup-simplify]: Simplify (* 1 1) into 1
107.473 * [backup-simplify]: Simplify (* 1 1) into 1
107.473 * [backup-simplify]: Simplify (* 1 1) into 1
107.473 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
107.473 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 3)
107.473 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 3) (pow (cos (/ 1/2 K)) 3)) into (pow (cos (/ 1/2 K)) 6)
107.473 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 6)) into (pow (cos (/ 1/2 K)) 6)
107.474 * [backup-simplify]: Simplify (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)) into (/ (pow J 6) (pow (cos (/ 1/2 K)) 6))
107.474 * [backup-simplify]: Simplify (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6))) into (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))
107.474 * [backup-simplify]: Simplify (+ 0 (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))) into (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))
107.474 * [backup-simplify]: Simplify (sqrt (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))) into (* 1/8 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3)))
107.474 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
107.475 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (pow J 2))) into 0
107.475 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (* 0 (pow J 3))) into 0
107.475 * [backup-simplify]: Simplify (+ 0) into 0
107.476 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
107.476 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
107.477 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
107.477 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
107.477 * [backup-simplify]: Simplify (- 0) into 0
107.478 * [backup-simplify]: Simplify (+ 0 0) into 0
107.478 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
107.478 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
107.478 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 3) 0) (* 0 (pow (cos (/ 1/2 K)) 3))) into 0
107.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 6))) into 0
107.481 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)) (/ 0 (pow (cos (/ 1/2 K)) 6))))) into 0
107.482 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))) into 0
107.482 * [backup-simplify]: Simplify (+ 0 0) into 0
107.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))))) into 0
107.483 * [taylor]: Taking taylor expansion of (* (/ (cos (/ 1/2 K)) J) (sqrt (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))))) in U
107.483 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
107.483 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
107.483 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
107.483 * [taylor]: Taking taylor expansion of 1/2 in U
107.483 * [backup-simplify]: Simplify 1/2 into 1/2
107.483 * [taylor]: Taking taylor expansion of K in U
107.483 * [backup-simplify]: Simplify K into K
107.483 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
107.483 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
107.483 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
107.483 * [taylor]: Taking taylor expansion of J in U
107.483 * [backup-simplify]: Simplify J into J
107.483 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
107.483 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
107.484 * [backup-simplify]: Simplify (- 0) into 0
107.484 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
107.484 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
107.484 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))))) in U
107.484 * [taylor]: Taking taylor expansion of (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) in U
107.484 * [taylor]: Taking taylor expansion of 1 in U
107.484 * [backup-simplify]: Simplify 1 into 1
107.484 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))) in U
107.484 * [taylor]: Taking taylor expansion of 1/64 in U
107.484 * [backup-simplify]: Simplify 1/64 into 1/64
107.484 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) in U
107.484 * [taylor]: Taking taylor expansion of (pow J 6) in U
107.484 * [taylor]: Taking taylor expansion of J in U
107.484 * [backup-simplify]: Simplify J into J
107.484 * [taylor]: Taking taylor expansion of (* (pow U 6) (pow (cos (/ 1/2 K)) 6)) in U
107.484 * [taylor]: Taking taylor expansion of (pow U 6) in U
107.484 * [taylor]: Taking taylor expansion of U in U
107.484 * [backup-simplify]: Simplify 0 into 0
107.484 * [backup-simplify]: Simplify 1 into 1
107.484 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 6) in U
107.484 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
107.484 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
107.484 * [taylor]: Taking taylor expansion of 1/2 in U
107.484 * [backup-simplify]: Simplify 1/2 into 1/2
107.484 * [taylor]: Taking taylor expansion of K in U
107.484 * [backup-simplify]: Simplify K into K
107.484 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
107.484 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
107.485 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
107.485 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
107.485 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
107.485 * [backup-simplify]: Simplify (- 0) into 0
107.485 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
107.485 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.485 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
107.485 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
107.486 * [backup-simplify]: Simplify (* 1 1) into 1
107.486 * [backup-simplify]: Simplify (* 1 1) into 1
107.487 * [backup-simplify]: Simplify (* 1 1) into 1
107.487 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
107.487 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 3)
107.487 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 3) (pow (cos (/ 1/2 K)) 3)) into (pow (cos (/ 1/2 K)) 6)
107.487 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 6)) into (pow (cos (/ 1/2 K)) 6)
107.487 * [backup-simplify]: Simplify (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)) into (/ (pow J 6) (pow (cos (/ 1/2 K)) 6))
107.487 * [backup-simplify]: Simplify (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6))) into (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))
107.488 * [backup-simplify]: Simplify (+ 0 (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))) into (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))
107.488 * [backup-simplify]: Simplify (sqrt (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))) into (* 1/8 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3)))
107.488 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
107.488 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (pow J 2))) into 0
107.488 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (* 0 (pow J 3))) into 0
107.489 * [backup-simplify]: Simplify (+ 0) into 0
107.489 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
107.489 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
107.490 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
107.491 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
107.491 * [backup-simplify]: Simplify (- 0) into 0
107.491 * [backup-simplify]: Simplify (+ 0 0) into 0
107.491 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
107.492 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
107.492 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 3) 0) (* 0 (pow (cos (/ 1/2 K)) 3))) into 0
107.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 6))) into 0
107.495 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)) (/ 0 (pow (cos (/ 1/2 K)) 6))))) into 0
107.495 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))) into 0
107.496 * [backup-simplify]: Simplify (+ 0 0) into 0
107.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))))) into 0
107.497 * [backup-simplify]: Simplify (* (/ (cos (/ 1/2 K)) J) (* 1/8 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3)))) into (* 1/8 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
107.497 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K
107.497 * [taylor]: Taking taylor expansion of 1/8 in K
107.497 * [backup-simplify]: Simplify 1/8 into 1/8
107.497 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K
107.497 * [taylor]: Taking taylor expansion of (pow J 2) in K
107.497 * [taylor]: Taking taylor expansion of J in K
107.497 * [backup-simplify]: Simplify J into J
107.497 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
107.497 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
107.497 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
107.497 * [taylor]: Taking taylor expansion of 1/2 in K
107.497 * [backup-simplify]: Simplify 1/2 into 1/2
107.497 * [taylor]: Taking taylor expansion of K in K
107.497 * [backup-simplify]: Simplify 0 into 0
107.497 * [backup-simplify]: Simplify 1 into 1
107.498 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
107.498 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
107.498 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.498 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
107.498 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
107.498 * [backup-simplify]: Simplify (* 1/8 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/8 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
107.498 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J
107.498 * [taylor]: Taking taylor expansion of 1/8 in J
107.498 * [backup-simplify]: Simplify 1/8 into 1/8
107.498 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J
107.498 * [taylor]: Taking taylor expansion of (pow J 2) in J
107.498 * [taylor]: Taking taylor expansion of J in J
107.498 * [backup-simplify]: Simplify 0 into 0
107.498 * [backup-simplify]: Simplify 1 into 1
107.499 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
107.499 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
107.499 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
107.499 * [taylor]: Taking taylor expansion of 1/2 in J
107.499 * [backup-simplify]: Simplify 1/2 into 1/2
107.499 * [taylor]: Taking taylor expansion of K in J
107.499 * [backup-simplify]: Simplify K into K
107.499 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
107.499 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
107.499 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
107.499 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
107.499 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
107.499 * [backup-simplify]: Simplify (- 0) into 0
107.500 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
107.500 * [backup-simplify]: Simplify (* 1 1) into 1
107.500 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
107.500 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2))
107.501 * [backup-simplify]: Simplify (+ 0) into 0
107.501 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
107.501 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
107.502 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
107.502 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
107.503 * [backup-simplify]: Simplify (- 0) into 0
107.503 * [backup-simplify]: Simplify (+ 0 0) into 0
107.503 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0
107.504 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (* 1/8 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))))) into 0
107.504 * [taylor]: Taking taylor expansion of 0 in K
107.504 * [backup-simplify]: Simplify 0 into 0
107.504 * [taylor]: Taking taylor expansion of 0 in J
107.504 * [backup-simplify]: Simplify 0 into 0
107.504 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
107.504 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
107.505 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
107.505 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
107.505 * [taylor]: Taking taylor expansion of 0 in J
107.505 * [backup-simplify]: Simplify 0 into 0
107.506 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
107.506 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
107.507 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (+ (* 0 0) (* 0 (pow J 3)))) into 0
107.508 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
107.514 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
107.514 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
107.516 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
107.516 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
107.517 * [backup-simplify]: Simplify (- 0) into 0
107.517 * [backup-simplify]: Simplify (+ 0 0) into 0
107.518 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
107.518 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
107.519 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 3) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 3)))) into 0
107.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
107.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
107.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
107.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 6)))) into 0
107.523 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)) (/ 0 (pow (cos (/ 1/2 K)) 6))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 6))))) into 0
107.524 * [backup-simplify]: Simplify (+ (* 1/64 0) (+ (* 0 0) (* 0 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6))))) into 0
107.525 * [backup-simplify]: Simplify (+ 0 0) into 0
107.526 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* 1/8 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))))) into 0
107.527 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
107.527 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
107.528 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
107.528 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
107.529 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
107.529 * [backup-simplify]: Simplify (- 0) into 0
107.530 * [backup-simplify]: Simplify (+ 0 0) into 0
107.530 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
107.531 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1/2 K)) J) 0) (+ (* 0 0) (* 0 (* 1/8 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3)))))) into 0
107.531 * [taylor]: Taking taylor expansion of 0 in K
107.531 * [backup-simplify]: Simplify 0 into 0
107.531 * [taylor]: Taking taylor expansion of 0 in J
107.531 * [backup-simplify]: Simplify 0 into 0
107.531 * [taylor]: Taking taylor expansion of 0 in J
107.531 * [backup-simplify]: Simplify 0 into 0
107.531 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
107.532 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
107.532 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
107.533 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
107.533 * [taylor]: Taking taylor expansion of 0 in J
107.533 * [backup-simplify]: Simplify 0 into 0
107.533 * [backup-simplify]: Simplify 0 into 0
107.533 * [backup-simplify]: Simplify 0 into 0
107.534 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
107.535 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0
107.536 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 3))))) into 0
107.537 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
107.538 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
107.538 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
107.540 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
107.540 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
107.541 * [backup-simplify]: Simplify (- 0) into 0
107.541 * [backup-simplify]: Simplify (+ 0 0) into 0
107.542 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
107.543 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
107.544 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 3))))) into 0
107.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
107.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
107.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
107.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 6))))) into 0
107.549 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)) (/ 0 (pow (cos (/ 1/2 K)) 6))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 6))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 6))))) into 0
107.551 * [backup-simplify]: Simplify (+ (* 1/64 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))))) into 0
107.551 * [backup-simplify]: Simplify (+ 0 0) into 0
107.552 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* 1/8 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))))) into 0
107.553 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
107.554 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
107.554 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
107.556 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
107.557 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
107.557 * [backup-simplify]: Simplify (- 0) into 0
107.557 * [backup-simplify]: Simplify (+ 0 0) into 0
107.558 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
107.559 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1/2 K)) J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/8 (/ (pow J 3) (pow (cos (/ 1/2 K)) 3))))))) into 0
107.559 * [taylor]: Taking taylor expansion of 0 in K
107.559 * [backup-simplify]: Simplify 0 into 0
107.559 * [taylor]: Taking taylor expansion of 0 in J
107.559 * [backup-simplify]: Simplify 0 into 0
107.559 * [taylor]: Taking taylor expansion of 0 in J
107.559 * [backup-simplify]: Simplify 0 into 0
107.559 * [taylor]: Taking taylor expansion of 0 in J
107.559 * [backup-simplify]: Simplify 0 into 0
107.560 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
107.561 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
107.561 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
107.562 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
107.563 * [taylor]: Taking taylor expansion of 0 in J
107.563 * [backup-simplify]: Simplify 0 into 0
107.563 * [backup-simplify]: Simplify 0 into 0
107.563 * [backup-simplify]: Simplify 0 into 0
107.563 * [backup-simplify]: Simplify 0 into 0
107.563 * [backup-simplify]: Simplify 0 into 0
107.563 * [backup-simplify]: Simplify 0 into 0
107.565 * [backup-simplify]: Simplify (* (sqrt (+ 1 (* (* (* (/ (/ 1 (- U)) (* (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))) 2)) (/ (/ 1 (- U)) (* (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))) 2))) (* (/ (/ 1 (- U)) (* (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))) 2)) (/ (/ 1 (- U)) (* (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))) 2)))) (* (/ (/ 1 (- U)) (* (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))) 2)) (/ (/ 1 (- U)) (* (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))) 2)))))) (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))) into (* -1 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1))))
107.565 * [approximate]: Taking taylor expansion of (* -1 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1)))) in (U K J) around 0
107.565 * [taylor]: Taking taylor expansion of (* -1 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1)))) in J
107.565 * [taylor]: Taking taylor expansion of -1 in J
107.565 * [backup-simplify]: Simplify -1 into -1
107.565 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1))) in J
107.565 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
107.565 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
107.565 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
107.565 * [taylor]: Taking taylor expansion of -1/2 in J
107.565 * [backup-simplify]: Simplify -1/2 into -1/2
107.565 * [taylor]: Taking taylor expansion of K in J
107.565 * [backup-simplify]: Simplify K into K
107.565 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
107.565 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
107.565 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
107.566 * [taylor]: Taking taylor expansion of J in J
107.566 * [backup-simplify]: Simplify 0 into 0
107.566 * [backup-simplify]: Simplify 1 into 1
107.566 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
107.566 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
107.566 * [backup-simplify]: Simplify (- 0) into 0
107.567 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
107.567 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
107.567 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1)) in J
107.567 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) in J
107.567 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) in J
107.567 * [taylor]: Taking taylor expansion of 1/64 in J
107.567 * [backup-simplify]: Simplify 1/64 into 1/64
107.567 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) in J
107.567 * [taylor]: Taking taylor expansion of (pow J 6) in J
107.567 * [taylor]: Taking taylor expansion of J in J
107.567 * [backup-simplify]: Simplify 0 into 0
107.567 * [backup-simplify]: Simplify 1 into 1
107.567 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 6) (pow U 6)) in J
107.567 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 6) in J
107.567 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
107.567 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
107.567 * [taylor]: Taking taylor expansion of -1/2 in J
107.567 * [backup-simplify]: Simplify -1/2 into -1/2
107.567 * [taylor]: Taking taylor expansion of K in J
107.567 * [backup-simplify]: Simplify K into K
107.567 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
107.567 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
107.567 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
107.567 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
107.568 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
107.568 * [backup-simplify]: Simplify (- 0) into 0
107.568 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
107.568 * [taylor]: Taking taylor expansion of (pow U 6) in J
107.568 * [taylor]: Taking taylor expansion of U in J
107.568 * [backup-simplify]: Simplify U into U
107.568 * [backup-simplify]: Simplify (* 1 1) into 1
107.569 * [backup-simplify]: Simplify (* 1 1) into 1
107.569 * [backup-simplify]: Simplify (* 1 1) into 1
107.569 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
107.570 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 3)
107.570 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 3) (pow (cos (/ -1/2 K)) 3)) into (pow (cos (/ -1/2 K)) 6)
107.570 * [backup-simplify]: Simplify (* U U) into (pow U 2)
107.570 * [backup-simplify]: Simplify (* U (pow U 2)) into (pow U 3)
107.570 * [backup-simplify]: Simplify (* (pow U 3) (pow U 3)) into (pow U 6)
107.570 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 6) (pow U 6)) into (* (pow (cos (/ -1/2 K)) 6) (pow U 6))
107.570 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) into (/ 1 (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))
107.570 * [taylor]: Taking taylor expansion of 1 in J
107.570 * [backup-simplify]: Simplify 1 into 1
107.571 * [backup-simplify]: Simplify (+ 0 1) into 1
107.571 * [backup-simplify]: Simplify (sqrt 1) into 1
107.572 * [backup-simplify]: Simplify (+ 0 0) into 0
107.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
107.572 * [taylor]: Taking taylor expansion of (* -1 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1)))) in K
107.572 * [taylor]: Taking taylor expansion of -1 in K
107.572 * [backup-simplify]: Simplify -1 into -1
107.572 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1))) in K
107.572 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
107.572 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
107.572 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
107.572 * [taylor]: Taking taylor expansion of -1/2 in K
107.573 * [backup-simplify]: Simplify -1/2 into -1/2
107.573 * [taylor]: Taking taylor expansion of K in K
107.573 * [backup-simplify]: Simplify 0 into 0
107.573 * [backup-simplify]: Simplify 1 into 1
107.573 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
107.573 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
107.573 * [taylor]: Taking taylor expansion of J in K
107.573 * [backup-simplify]: Simplify J into J
107.573 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
107.573 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1)) in K
107.573 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) in K
107.573 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) in K
107.573 * [taylor]: Taking taylor expansion of 1/64 in K
107.573 * [backup-simplify]: Simplify 1/64 into 1/64
107.573 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) in K
107.573 * [taylor]: Taking taylor expansion of (pow J 6) in K
107.574 * [taylor]: Taking taylor expansion of J in K
107.574 * [backup-simplify]: Simplify J into J
107.574 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 6) (pow U 6)) in K
107.574 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 6) in K
107.574 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
107.574 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
107.574 * [taylor]: Taking taylor expansion of -1/2 in K
107.574 * [backup-simplify]: Simplify -1/2 into -1/2
107.574 * [taylor]: Taking taylor expansion of K in K
107.574 * [backup-simplify]: Simplify 0 into 0
107.574 * [backup-simplify]: Simplify 1 into 1
107.574 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
107.574 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
107.574 * [taylor]: Taking taylor expansion of (pow U 6) in K
107.574 * [taylor]: Taking taylor expansion of U in K
107.574 * [backup-simplify]: Simplify U into U
107.574 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.575 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
107.575 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
107.575 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
107.575 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 3)
107.575 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 3) (pow (cos (/ -1/2 K)) 3)) into (pow (cos (/ -1/2 K)) 6)
107.575 * [backup-simplify]: Simplify (* U U) into (pow U 2)
107.575 * [backup-simplify]: Simplify (* U (pow U 2)) into (pow U 3)
107.575 * [backup-simplify]: Simplify (* (pow U 3) (pow U 3)) into (pow U 6)
107.575 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 6) (pow U 6)) into (* (pow (cos (/ -1/2 K)) 6) (pow U 6))
107.576 * [backup-simplify]: Simplify (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) into (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))
107.576 * [taylor]: Taking taylor expansion of 1 in K
107.576 * [backup-simplify]: Simplify 1 into 1
107.576 * [backup-simplify]: Simplify (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) into (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))))
107.576 * [backup-simplify]: Simplify (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) into (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1)
107.577 * [backup-simplify]: Simplify (sqrt (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1)) into (sqrt (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1))
107.577 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
107.577 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (pow J 2))) into 0
107.577 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (* 0 (pow J 3))) into 0
107.577 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
107.577 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (pow U 2))) into 0
107.577 * [backup-simplify]: Simplify (+ (* (pow U 3) 0) (* 0 (pow U 3))) into 0
107.578 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
107.578 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
107.578 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 3) 0) (* 0 (pow (cos (/ -1/2 K)) 3))) into 0
107.578 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 6) 0) (* 0 (pow U 6))) into 0
107.579 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) (+ (* (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) (/ 0 (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))))) into 0
107.580 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))))) into 0
107.580 * [backup-simplify]: Simplify (+ 0 0) into 0
107.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1)))) into 0
107.580 * [taylor]: Taking taylor expansion of (* -1 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1)))) in U
107.580 * [taylor]: Taking taylor expansion of -1 in U
107.580 * [backup-simplify]: Simplify -1 into -1
107.581 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1))) in U
107.581 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
107.581 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
107.581 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
107.581 * [taylor]: Taking taylor expansion of -1/2 in U
107.581 * [backup-simplify]: Simplify -1/2 into -1/2
107.581 * [taylor]: Taking taylor expansion of K in U
107.581 * [backup-simplify]: Simplify K into K
107.581 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
107.581 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
107.581 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
107.581 * [taylor]: Taking taylor expansion of J in U
107.581 * [backup-simplify]: Simplify J into J
107.581 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
107.581 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
107.581 * [backup-simplify]: Simplify (- 0) into 0
107.582 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
107.582 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
107.582 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1)) in U
107.582 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) in U
107.582 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) in U
107.582 * [taylor]: Taking taylor expansion of 1/64 in U
107.582 * [backup-simplify]: Simplify 1/64 into 1/64
107.582 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) in U
107.582 * [taylor]: Taking taylor expansion of (pow J 6) in U
107.582 * [taylor]: Taking taylor expansion of J in U
107.582 * [backup-simplify]: Simplify J into J
107.582 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 6) (pow U 6)) in U
107.582 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 6) in U
107.582 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
107.582 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
107.582 * [taylor]: Taking taylor expansion of -1/2 in U
107.582 * [backup-simplify]: Simplify -1/2 into -1/2
107.582 * [taylor]: Taking taylor expansion of K in U
107.582 * [backup-simplify]: Simplify K into K
107.582 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
107.582 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
107.582 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
107.582 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
107.583 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
107.583 * [backup-simplify]: Simplify (- 0) into 0
107.583 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
107.583 * [taylor]: Taking taylor expansion of (pow U 6) in U
107.583 * [taylor]: Taking taylor expansion of U in U
107.583 * [backup-simplify]: Simplify 0 into 0
107.583 * [backup-simplify]: Simplify 1 into 1
107.583 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.583 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
107.583 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
107.583 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
107.584 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 3)
107.584 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 3) (pow (cos (/ -1/2 K)) 3)) into (pow (cos (/ -1/2 K)) 6)
107.584 * [backup-simplify]: Simplify (* 1 1) into 1
107.585 * [backup-simplify]: Simplify (* 1 1) into 1
107.585 * [backup-simplify]: Simplify (* 1 1) into 1
107.585 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 6) 1) into (pow (cos (/ -1/2 K)) 6)
107.585 * [backup-simplify]: Simplify (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)) into (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))
107.585 * [taylor]: Taking taylor expansion of 1 in U
107.585 * [backup-simplify]: Simplify 1 into 1
107.585 * [backup-simplify]: Simplify (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))) into (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))
107.586 * [backup-simplify]: Simplify (+ (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))) 0) into (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))
107.586 * [backup-simplify]: Simplify (sqrt (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))) into (* 1/8 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3)))
107.586 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
107.586 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (pow J 2))) into 0
107.586 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (* 0 (pow J 3))) into 0
107.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.589 * [backup-simplify]: Simplify (+ 0) into 0
107.589 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
107.590 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
107.590 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
107.591 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
107.591 * [backup-simplify]: Simplify (- 0) into 0
107.591 * [backup-simplify]: Simplify (+ 0 0) into 0
107.592 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
107.592 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
107.592 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 3) 0) (* 0 (pow (cos (/ -1/2 K)) 3))) into 0
107.592 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 6) 0) (* 0 1)) into 0
107.592 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)) (/ 0 (pow (cos (/ -1/2 K)) 6))))) into 0
107.593 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))) into 0
107.593 * [backup-simplify]: Simplify (+ 0 0) into 0
107.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))))) into 0
107.593 * [taylor]: Taking taylor expansion of (* -1 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1)))) in U
107.593 * [taylor]: Taking taylor expansion of -1 in U
107.593 * [backup-simplify]: Simplify -1 into -1
107.593 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1))) in U
107.593 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
107.593 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
107.593 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
107.593 * [taylor]: Taking taylor expansion of -1/2 in U
107.593 * [backup-simplify]: Simplify -1/2 into -1/2
107.593 * [taylor]: Taking taylor expansion of K in U
107.594 * [backup-simplify]: Simplify K into K
107.594 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
107.594 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
107.594 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
107.594 * [taylor]: Taking taylor expansion of J in U
107.594 * [backup-simplify]: Simplify J into J
107.594 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
107.594 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
107.594 * [backup-simplify]: Simplify (- 0) into 0
107.594 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
107.594 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
107.594 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1)) in U
107.594 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) in U
107.594 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) in U
107.594 * [taylor]: Taking taylor expansion of 1/64 in U
107.594 * [backup-simplify]: Simplify 1/64 into 1/64
107.594 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) in U
107.594 * [taylor]: Taking taylor expansion of (pow J 6) in U
107.594 * [taylor]: Taking taylor expansion of J in U
107.594 * [backup-simplify]: Simplify J into J
107.594 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 6) (pow U 6)) in U
107.594 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 6) in U
107.594 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
107.594 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
107.594 * [taylor]: Taking taylor expansion of -1/2 in U
107.594 * [backup-simplify]: Simplify -1/2 into -1/2
107.594 * [taylor]: Taking taylor expansion of K in U
107.594 * [backup-simplify]: Simplify K into K
107.594 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
107.594 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
107.595 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
107.595 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
107.595 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
107.595 * [backup-simplify]: Simplify (- 0) into 0
107.595 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
107.595 * [taylor]: Taking taylor expansion of (pow U 6) in U
107.595 * [taylor]: Taking taylor expansion of U in U
107.595 * [backup-simplify]: Simplify 0 into 0
107.595 * [backup-simplify]: Simplify 1 into 1
107.595 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.595 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
107.595 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
107.595 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
107.595 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 3)
107.595 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 3) (pow (cos (/ -1/2 K)) 3)) into (pow (cos (/ -1/2 K)) 6)
107.596 * [backup-simplify]: Simplify (* 1 1) into 1
107.596 * [backup-simplify]: Simplify (* 1 1) into 1
107.596 * [backup-simplify]: Simplify (* 1 1) into 1
107.596 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 6) 1) into (pow (cos (/ -1/2 K)) 6)
107.596 * [backup-simplify]: Simplify (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)) into (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))
107.596 * [taylor]: Taking taylor expansion of 1 in U
107.596 * [backup-simplify]: Simplify 1 into 1
107.597 * [backup-simplify]: Simplify (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))) into (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))
107.597 * [backup-simplify]: Simplify (+ (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))) 0) into (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))
107.597 * [backup-simplify]: Simplify (sqrt (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))) into (* 1/8 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3)))
107.597 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
107.597 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (pow J 2))) into 0
107.597 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (* 0 (pow J 3))) into 0
107.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
107.599 * [backup-simplify]: Simplify (+ 0) into 0
107.599 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
107.599 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
107.600 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
107.600 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
107.600 * [backup-simplify]: Simplify (- 0) into 0
107.600 * [backup-simplify]: Simplify (+ 0 0) into 0
107.600 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
107.601 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
107.601 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 3) 0) (* 0 (pow (cos (/ -1/2 K)) 3))) into 0
107.601 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 6) 0) (* 0 1)) into 0
107.601 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)) (/ 0 (pow (cos (/ -1/2 K)) 6))))) into 0
107.602 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))) into 0
107.602 * [backup-simplify]: Simplify (+ 0 0) into 0
107.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))))) into 0
107.602 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/8 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3)))) into (* 1/8 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
107.602 * [backup-simplify]: Simplify (* -1 (* 1/8 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* -1/8 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
107.602 * [taylor]: Taking taylor expansion of (* -1/8 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K
107.602 * [taylor]: Taking taylor expansion of -1/8 in K
107.602 * [backup-simplify]: Simplify -1/8 into -1/8
107.602 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K
107.602 * [taylor]: Taking taylor expansion of (pow J 2) in K
107.602 * [taylor]: Taking taylor expansion of J in K
107.602 * [backup-simplify]: Simplify J into J
107.602 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
107.602 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
107.602 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
107.602 * [taylor]: Taking taylor expansion of -1/2 in K
107.603 * [backup-simplify]: Simplify -1/2 into -1/2
107.603 * [taylor]: Taking taylor expansion of K in K
107.603 * [backup-simplify]: Simplify 0 into 0
107.603 * [backup-simplify]: Simplify 1 into 1
107.603 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
107.603 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
107.603 * [backup-simplify]: Simplify (* J J) into (pow J 2)
107.603 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
107.603 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
107.603 * [backup-simplify]: Simplify (* -1/8 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* -1/8 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
107.603 * [taylor]: Taking taylor expansion of (* -1/8 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J
107.603 * [taylor]: Taking taylor expansion of -1/8 in J
107.603 * [backup-simplify]: Simplify -1/8 into -1/8
107.603 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J
107.603 * [taylor]: Taking taylor expansion of (pow J 2) in J
107.603 * [taylor]: Taking taylor expansion of J in J
107.603 * [backup-simplify]: Simplify 0 into 0
107.603 * [backup-simplify]: Simplify 1 into 1
107.603 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
107.603 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
107.603 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
107.603 * [taylor]: Taking taylor expansion of -1/2 in J
107.603 * [backup-simplify]: Simplify -1/2 into -1/2
107.603 * [taylor]: Taking taylor expansion of K in J
107.603 * [backup-simplify]: Simplify K into K
107.603 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
107.604 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
107.604 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
107.604 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
107.604 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
107.604 * [backup-simplify]: Simplify (- 0) into 0
107.604 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
107.604 * [backup-simplify]: Simplify (* 1 1) into 1
107.604 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
107.604 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2))
107.605 * [backup-simplify]: Simplify (+ 0) into 0
107.605 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
107.605 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
107.606 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
107.606 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
107.606 * [backup-simplify]: Simplify (- 0) into 0
107.606 * [backup-simplify]: Simplify (+ 0 0) into 0
107.606 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0
107.607 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/8 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))))) into 0
107.607 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (* 1/8 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
107.607 * [taylor]: Taking taylor expansion of 0 in K
107.607 * [backup-simplify]: Simplify 0 into 0
107.607 * [taylor]: Taking taylor expansion of 0 in J
107.607 * [backup-simplify]: Simplify 0 into 0
107.607 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
107.608 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
107.608 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
107.608 * [backup-simplify]: Simplify (+ (* -1/8 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
107.608 * [taylor]: Taking taylor expansion of 0 in J
107.608 * [backup-simplify]: Simplify 0 into 0
107.608 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
107.609 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
107.609 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (+ (* 0 0) (* 0 (pow J 3)))) into 0
107.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
107.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
107.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
107.611 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
107.612 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
107.612 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
107.612 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
107.613 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
107.613 * [backup-simplify]: Simplify (- 0) into 0
107.613 * [backup-simplify]: Simplify (+ 0 0) into 0
107.613 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
107.614 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
107.614 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 3) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 3)))) into 0
107.615 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 6) 0) (+ (* 0 0) (* 0 1))) into 0
107.615 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)) (/ 0 (pow (cos (/ -1/2 K)) 6))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 6))))) into 0
107.615 * [backup-simplify]: Simplify (+ (* 1/64 0) (+ (* 0 0) (* 0 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))))) into 0
107.616 * [backup-simplify]: Simplify (+ 0 0) into 0
107.616 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* 1/8 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))))) into 0
107.617 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
107.617 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
107.617 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
107.618 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
107.618 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
107.618 * [backup-simplify]: Simplify (- 0) into 0
107.619 * [backup-simplify]: Simplify (+ 0 0) into 0
107.619 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
107.620 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (+ (* 0 0) (* 0 (* 1/8 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3)))))) into 0
107.621 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (* 1/8 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
107.621 * [taylor]: Taking taylor expansion of 0 in K
107.621 * [backup-simplify]: Simplify 0 into 0
107.621 * [taylor]: Taking taylor expansion of 0 in J
107.621 * [backup-simplify]: Simplify 0 into 0
107.621 * [taylor]: Taking taylor expansion of 0 in J
107.621 * [backup-simplify]: Simplify 0 into 0
107.621 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
107.622 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
107.622 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
107.623 * [backup-simplify]: Simplify (+ (* -1/8 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
107.623 * [taylor]: Taking taylor expansion of 0 in J
107.623 * [backup-simplify]: Simplify 0 into 0
107.624 * [backup-simplify]: Simplify 0 into 0
107.624 * [backup-simplify]: Simplify 0 into 0
107.624 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
107.625 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0
107.626 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 3))))) into 0
107.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
107.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
107.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
107.630 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
107.631 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
107.631 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
107.633 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
107.634 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
107.634 * [backup-simplify]: Simplify (- 0) into 0
107.634 * [backup-simplify]: Simplify (+ 0 0) into 0
107.635 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
107.636 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2))))) into 0
107.637 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 3))))) into 0
107.638 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 6) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
107.639 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)) (/ 0 (pow (cos (/ -1/2 K)) 6))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 6))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 6))))) into 0
107.641 * [backup-simplify]: Simplify (+ (* 1/64 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))))) into 0
107.641 * [backup-simplify]: Simplify (+ 0 0) into 0
107.642 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* 1/8 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))))) into 0
107.643 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
107.649 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
107.649 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
107.651 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
107.652 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
107.652 * [backup-simplify]: Simplify (- 0) into 0
107.653 * [backup-simplify]: Simplify (+ 0 0) into 0
107.653 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
107.654 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/8 (/ (pow J 3) (pow (cos (/ -1/2 K)) 3))))))) into 0
107.655 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/8 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))))) into 0
107.655 * [taylor]: Taking taylor expansion of 0 in K
107.656 * [backup-simplify]: Simplify 0 into 0
107.656 * [taylor]: Taking taylor expansion of 0 in J
107.656 * [backup-simplify]: Simplify 0 into 0
107.656 * [taylor]: Taking taylor expansion of 0 in J
107.656 * [backup-simplify]: Simplify 0 into 0
107.656 * [taylor]: Taking taylor expansion of 0 in J
107.656 * [backup-simplify]: Simplify 0 into 0
107.657 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
107.658 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
107.659 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
107.660 * [backup-simplify]: Simplify (+ (* -1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
107.660 * [taylor]: Taking taylor expansion of 0 in J
107.660 * [backup-simplify]: Simplify 0 into 0
107.660 * [backup-simplify]: Simplify 0 into 0
107.661 * [backup-simplify]: Simplify 0 into 0
107.661 * [backup-simplify]: Simplify 0 into 0
107.661 * [backup-simplify]: Simplify 0 into 0
107.661 * [backup-simplify]: Simplify 0 into 0
107.661 * * * [progress]: simplifying candidates
107.661 * * * * [progress]: [ 1 / 194 ] simplifiying candidate #<alt (λ (J K U) (pow (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) 1))>
107.661 * * * * [progress]: [ 2 / 194 ] simplifiying candidate #<alt (λ (J K U) (exp (- (+ (+ (log (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (+ (log (cos (/ K 2))) (log J))) (log -2)) (log (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
107.661 * [simplify]: Simplifying (- (+ (+ (log (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (+ (log (cos (/ K 2))) (log J))) (log -2)) (log (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
107.662 * * [simplify]: iters left: 6 (34 enodes)
107.680 * * [simplify]: iters left: 5 (145 enodes)
107.738 * * [simplify]: iters left: 4 (408 enodes)
108.199 * * [simplify]: Extracting #0: cost 1 inf + 0
108.199 * * [simplify]: Extracting #1: cost 40 inf + 0
108.200 * * [simplify]: Extracting #2: cost 76 inf + 0
108.200 * * [simplify]: Extracting #3: cost 80 inf + 73
108.201 * * [simplify]: Extracting #4: cost 89 inf + 650
108.203 * * [simplify]: Extracting #5: cost 408 inf + 941
108.212 * * [simplify]: Extracting #6: cost 612 inf + 23198
108.280 * * [simplify]: Extracting #7: cost 135 inf + 174821
108.361 * * [simplify]: Extracting #8: cost 38 inf + 215547
108.489 * * [simplify]: Extracting #9: cost 6 inf + 240242
108.570 * * [simplify]: Extracting #10: cost 0 inf + 245618
108.679 * [simplify]: Simplified to (- (+ (log (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))) (+ (log -2) (+ (log J) (log (cos (/ K 2)))))) (log (sqrt (+ (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))
108.679 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (- (+ (log (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))) (+ (log -2) (+ (log J) (log (cos (/ K 2)))))) (log (sqrt (+ (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))
108.680 * * * * [progress]: [ 3 / 194 ] simplifiying candidate #<alt (λ (J K U) (exp (- (+ (+ (log (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log (* (cos (/ K 2)) J))) (log -2)) (log (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
108.680 * [simplify]: Simplifying (- (+ (+ (log (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log (* (cos (/ K 2)) J))) (log -2)) (log (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
108.681 * * [simplify]: iters left: 6 (32 enodes)
108.692 * * [simplify]: iters left: 5 (139 enodes)
108.719 * * [simplify]: iters left: 4 (393 enodes)
109.099 * * [simplify]: Extracting #0: cost 1 inf + 0
109.100 * * [simplify]: Extracting #1: cost 31 inf + 0
109.100 * * [simplify]: Extracting #2: cost 69 inf + 0
109.100 * * [simplify]: Extracting #3: cost 75 inf + 2
109.100 * * [simplify]: Extracting #4: cost 84 inf + 468
109.101 * * [simplify]: Extracting #5: cost 376 inf + 1325
109.107 * * [simplify]: Extracting #6: cost 568 inf + 24367
109.179 * * [simplify]: Extracting #7: cost 129 inf + 164073
109.249 * * [simplify]: Extracting #8: cost 27 inf + 206308
109.367 * * [simplify]: Extracting #9: cost 7 inf + 220168
109.491 * * [simplify]: Extracting #10: cost 0 inf + 226440
109.615 * [simplify]: Simplified to (+ (+ (- (log -2) (log (sqrt (+ (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (log (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)))) (log (* (cos (/ K 2)) J)))
109.616 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (- (log -2) (log (sqrt (+ (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (log (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)))) (log (* (cos (/ K 2)) J)))))
109.616 * * * * [progress]: [ 4 / 194 ] simplifiying candidate #<alt (λ (J K U) (exp (- (+ (log (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J))) (log -2)) (log (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
109.617 * [simplify]: Simplifying (- (+ (log (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J))) (log -2)) (log (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
109.617 * * [simplify]: iters left: 6 (31 enodes)
109.632 * * [simplify]: iters left: 5 (135 enodes)
109.668 * * [simplify]: iters left: 4 (375 enodes)
110.094 * * [simplify]: Extracting #0: cost 1 inf + 0
110.095 * * [simplify]: Extracting #1: cost 25 inf + 0
110.095 * * [simplify]: Extracting #2: cost 59 inf + 0
110.095 * * [simplify]: Extracting #3: cost 66 inf + 73
110.096 * * [simplify]: Extracting #4: cost 78 inf + 286
110.098 * * [simplify]: Extracting #5: cost 403 inf + 469
110.110 * * [simplify]: Extracting #6: cost 577 inf + 36223
110.184 * * [simplify]: Extracting #7: cost 66 inf + 204411
110.260 * * [simplify]: Extracting #8: cost 1 inf + 234935
110.368 * * [simplify]: Extracting #9: cost 0 inf + 235218
110.479 * [simplify]: Simplified to (- (+ (log -2) (log (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)))) (log (sqrt (+ 1 (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))
110.479 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (- (+ (log -2) (log (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)))) (log (sqrt (+ 1 (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))
110.480 * * * * [progress]: [ 5 / 194 ] simplifiying candidate #<alt (λ (J K U) (exp (- (log (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2)) (log (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
110.480 * [simplify]: Simplifying (- (log (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2)) (log (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
110.480 * * [simplify]: iters left: 6 (30 enodes)
110.489 * * [simplify]: iters left: 5 (133 enodes)
110.531 * * [simplify]: iters left: 4 (382 enodes)
111.003 * * [simplify]: Extracting #0: cost 1 inf + 0
111.003 * * [simplify]: Extracting #1: cost 21 inf + 0
111.003 * * [simplify]: Extracting #2: cost 49 inf + 0
111.003 * * [simplify]: Extracting #3: cost 67 inf + 1
111.004 * * [simplify]: Extracting #4: cost 83 inf + 73
111.005 * * [simplify]: Extracting #5: cost 382 inf + 665
111.009 * * [simplify]: Extracting #6: cost 586 inf + 20244
111.051 * * [simplify]: Extracting #7: cost 152 inf + 159091
111.115 * * [simplify]: Extracting #8: cost 14 inf + 212311
111.219 * * [simplify]: Extracting #9: cost 1 inf + 221059
111.328 * * [simplify]: Extracting #10: cost 0 inf + 221785
111.411 * [simplify]: Simplified to (- (log (* (* (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) -2)) (log (sqrt (+ (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))))
111.411 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (- (log (* (* (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) -2)) (log (sqrt (+ (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))))))
111.411 * * * * [progress]: [ 6 / 194 ] simplifiying candidate #<alt (λ (J K U) (exp (log (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
111.412 * [simplify]: Simplifying (log (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
111.412 * * [simplify]: iters left: 6 (29 enodes)
111.429 * * [simplify]: iters left: 5 (131 enodes)
111.483 * * [simplify]: iters left: 4 (400 enodes)
111.942 * * [simplify]: Extracting #0: cost 1 inf + 0
111.942 * * [simplify]: Extracting #1: cost 23 inf + 0
111.942 * * [simplify]: Extracting #2: cost 65 inf + 0
111.943 * * [simplify]: Extracting #3: cost 93 inf + 2
111.943 * * [simplify]: Extracting #4: cost 106 inf + 257
111.944 * * [simplify]: Extracting #5: cost 420 inf + 873
111.950 * * [simplify]: Extracting #6: cost 625 inf + 16581
112.008 * * [simplify]: Extracting #7: cost 159 inf + 166873
112.084 * * [simplify]: Extracting #8: cost 10 inf + 228041
112.174 * * [simplify]: Extracting #9: cost 0 inf + 233308
112.262 * [simplify]: Simplified to (log (/ (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))
112.262 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (log (/ (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))))
112.263 * * * * [progress]: [ 7 / 194 ] simplifiying candidate #<alt (λ (J K U) (log (exp (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
112.263 * [simplify]: Simplifying (exp (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
112.263 * * [simplify]: iters left: 6 (29 enodes)
112.272 * * [simplify]: iters left: 5 (128 enodes)
112.314 * * [simplify]: iters left: 4 (397 enodes)
112.746 * * [simplify]: Extracting #0: cost 1 inf + 0
112.747 * * [simplify]: Extracting #1: cost 5 inf + 0
112.747 * * [simplify]: Extracting #2: cost 29 inf + 1
112.747 * * [simplify]: Extracting #3: cost 56 inf + 2
112.747 * * [simplify]: Extracting #4: cost 72 inf + 44
112.749 * * [simplify]: Extracting #5: cost 394 inf + 949
112.757 * * [simplify]: Extracting #6: cost 646 inf + 11853
112.808 * * [simplify]: Extracting #7: cost 234 inf + 149354
112.891 * * [simplify]: Extracting #8: cost 10 inf + 242689
112.981 * * [simplify]: Extracting #9: cost 0 inf + 234088
113.067 * * [simplify]: Extracting #10: cost 0 inf + 232104
113.154 * [simplify]: Simplified to (exp (/ (* (sqrt (+ (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1)) (cos (/ K 2))) (/ (/ (sqrt (- 1 (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))) -2) J)))
113.154 * [simplify]: Simplified (2 1) to (λ (J K U) (log (exp (/ (* (sqrt (+ (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1)) (cos (/ K 2))) (/ (/ (sqrt (- 1 (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))) -2) J)))))
113.154 * * * * [progress]: [ 8 / 194 ] simplifiying candidate #<alt (λ (J K U) (cbrt (/ (* (* (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))) (* (* -2 -2) -2)) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
113.155 * [simplify]: Simplifying (/ (* (* (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))) (* (* -2 -2) -2)) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
113.156 * * [simplify]: iters left: 6 (39 enodes)
113.179 * * [simplify]: iters left: 5 (173 enodes)
113.263 * * [simplify]: Extracting #0: cost 1 inf + 0
113.263 * * [simplify]: Extracting #1: cost 38 inf + 0
113.264 * * [simplify]: Extracting #2: cost 138 inf + 1
113.265 * * [simplify]: Extracting #3: cost 220 inf + 6
113.267 * * [simplify]: Extracting #4: cost 245 inf + 340
113.269 * * [simplify]: Extracting #5: cost 214 inf + 5020
113.278 * * [simplify]: Extracting #6: cost 137 inf + 26773
113.298 * * [simplify]: Extracting #7: cost 88 inf + 48144
113.343 * * [simplify]: Extracting #8: cost 24 inf + 87329
113.406 * * [simplify]: Extracting #9: cost 1 inf + 103118
113.451 * * [simplify]: Extracting #10: cost 0 inf + 104104
113.501 * [simplify]: Simplified to (/ (/ (* (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1))) (/ (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2)))) (* J J)) (* J -8)))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))
113.501 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (/ (/ (* (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1))) (/ (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2)))) (* J J)) (* J -8)))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))))
113.501 * * * * [progress]: [ 9 / 194 ] simplifiying candidate #<alt (λ (J K U) (cbrt (/ (* (* (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) (* (* -2 -2) -2)) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
113.502 * [simplify]: Simplifying (/ (* (* (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) (* (* -2 -2) -2)) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
113.502 * * [simplify]: iters left: 6 (36 enodes)
113.514 * * [simplify]: iters left: 5 (167 enodes)
113.565 * * [simplify]: Extracting #0: cost 1 inf + 0
113.565 * * [simplify]: Extracting #1: cost 42 inf + 0
113.565 * * [simplify]: Extracting #2: cost 130 inf + 1
113.566 * * [simplify]: Extracting #3: cost 198 inf + 47
113.567 * * [simplify]: Extracting #4: cost 227 inf + 341
113.569 * * [simplify]: Extracting #5: cost 172 inf + 13171
113.580 * * [simplify]: Extracting #6: cost 71 inf + 48506
113.605 * * [simplify]: Extracting #7: cost 19 inf + 79464
113.640 * * [simplify]: Extracting #8: cost 0 inf + 91632
113.687 * [simplify]: Simplified to (/ (/ (* (* (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1))) (/ (+ (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) -8)) (sqrt (+ (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))
113.687 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (/ (/ (* (* (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1))) (/ (+ (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) -8)) (sqrt (+ (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))
113.688 * * * * [progress]: [ 10 / 194 ] simplifiying candidate #<alt (λ (J K U) (cbrt (/ (* (* (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J))) (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J))) (* (* -2 -2) -2)) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
113.688 * [simplify]: Simplifying (/ (* (* (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J))) (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J))) (* (* -2 -2) -2)) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
113.689 * * [simplify]: iters left: 6 (34 enodes)
113.712 * * [simplify]: iters left: 5 (162 enodes)
113.792 * * [simplify]: Extracting #0: cost 1 inf + 0
113.792 * * [simplify]: Extracting #1: cost 40 inf + 0
113.792 * * [simplify]: Extracting #2: cost 120 inf + 1
113.794 * * [simplify]: Extracting #3: cost 194 inf + 6
113.795 * * [simplify]: Extracting #4: cost 225 inf + 301
113.797 * * [simplify]: Extracting #5: cost 201 inf + 5290
113.805 * * [simplify]: Extracting #6: cost 115 inf + 37068
113.841 * * [simplify]: Extracting #7: cost 22 inf + 87255
113.908 * * [simplify]: Extracting #8: cost 0 inf + 94255
113.952 * * [simplify]: Extracting #9: cost 0 inf + 92855
113.997 * * [simplify]: Extracting #10: cost 0 inf + 92655
114.062 * [simplify]: Simplified to (/ (/ (* (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (* (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (* -8 (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J))))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))
114.062 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (/ (/ (* (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (* (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (* -8 (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J))))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))
114.063 * * * * [progress]: [ 11 / 194 ] simplifiying candidate #<alt (λ (J K U) (cbrt (/ (* (* (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2)) (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2)) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
114.064 * [simplify]: Simplifying (/ (* (* (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2)) (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2)) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
114.065 * * [simplify]: iters left: 6 (32 enodes)
114.084 * * [simplify]: iters left: 5 (150 enodes)
114.128 * * [simplify]: Extracting #0: cost 1 inf + 0
114.128 * * [simplify]: Extracting #1: cost 30 inf + 0
114.128 * * [simplify]: Extracting #2: cost 109 inf + 0
114.129 * * [simplify]: Extracting #3: cost 170 inf + 47
114.130 * * [simplify]: Extracting #4: cost 195 inf + 175
114.137 * * [simplify]: Extracting #5: cost 144 inf + 17300
114.179 * * [simplify]: Extracting #6: cost 26 inf + 72844
114.216 * * [simplify]: Extracting #7: cost 0 inf + 86136
114.280 * * [simplify]: Extracting #8: cost 0 inf + 86005
114.319 * [simplify]: Simplified to (* (/ (* (* (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) -2) (* (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) -2)) (sqrt (+ (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (/ (* (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) -2) (+ (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))
114.319 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (/ (* (* (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) -2) (* (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) -2)) (sqrt (+ (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (/ (* (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) -2) (+ (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))
114.319 * * * * [progress]: [ 12 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (cbrt (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (cbrt (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
114.319 * [simplify]: Simplifying (* (cbrt (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (cbrt (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
114.320 * * [simplify]: iters left: 6 (30 enodes)
114.331 * * [simplify]: iters left: 5 (131 enodes)
114.370 * * [simplify]: iters left: 4 (400 enodes)
114.883 * * [simplify]: Extracting #0: cost 1 inf + 0
114.883 * * [simplify]: Extracting #1: cost 3 inf + 0
114.883 * * [simplify]: Extracting #2: cost 5 inf + 0
114.884 * * [simplify]: Extracting #3: cost 31 inf + 0
114.884 * * [simplify]: Extracting #4: cost 57 inf + 2
114.884 * * [simplify]: Extracting #5: cost 73 inf + 44
114.886 * * [simplify]: Extracting #6: cost 399 inf + 560
114.894 * * [simplify]: Extracting #7: cost 643 inf + 12939
114.961 * * [simplify]: Extracting #8: cost 118 inf + 180847
115.033 * * [simplify]: Extracting #9: cost 6 inf + 227670
115.139 * * [simplify]: Extracting #10: cost 0 inf + 230839
115.225 * [simplify]: Simplified to (* (cbrt (/ -2 (/ (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (cos (/ K 2)) J))))) (cbrt (/ -2 (/ (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (cos (/ K 2)) J))))))
115.225 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (cbrt (/ -2 (/ (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (cos (/ K 2)) J))))) (cbrt (/ -2 (/ (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (cos (/ K 2)) J)))))) (cbrt (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
115.226 * [simplify]: Simplifying (cbrt (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
115.226 * * [simplify]: iters left: 6 (29 enodes)
115.234 * * [simplify]: iters left: 5 (128 enodes)
115.275 * * [simplify]: iters left: 4 (397 enodes)
115.786 * * [simplify]: Extracting #0: cost 1 inf + 0
115.786 * * [simplify]: Extracting #1: cost 3 inf + 0
115.786 * * [simplify]: Extracting #2: cost 29 inf + 0
115.787 * * [simplify]: Extracting #3: cost 55 inf + 2
115.787 * * [simplify]: Extracting #4: cost 71 inf + 44
115.789 * * [simplify]: Extracting #5: cost 394 inf + 806
115.795 * * [simplify]: Extracting #6: cost 653 inf + 7992
115.844 * * [simplify]: Extracting #7: cost 242 inf + 150057
115.966 * * [simplify]: Extracting #8: cost 8 inf + 249237
116.054 * * [simplify]: Extracting #9: cost 0 inf + 231752
116.148 * * [simplify]: Extracting #10: cost 0 inf + 230912
116.243 * [simplify]: Simplified to (cbrt (/ (* (sqrt (+ (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1)) (cos (/ K 2))) (/ (/ (sqrt (- 1 (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))) -2) J)))
116.243 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (cbrt (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (cbrt (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (cbrt (/ (* (sqrt (+ (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1)) (cos (/ K 2))) (/ (/ (sqrt (- 1 (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))) -2) J)))))
116.244 * * * * [progress]: [ 13 / 194 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
116.245 * [simplify]: Simplifying (* (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
116.245 * * [simplify]: iters left: 6 (30 enodes)
116.264 * * [simplify]: iters left: 5 (138 enodes)
116.322 * * [simplify]: iters left: 4 (448 enodes)
116.903 * * [simplify]: Extracting #0: cost 1 inf + 0
116.904 * * [simplify]: Extracting #1: cost 48 inf + 0
116.904 * * [simplify]: Extracting #2: cost 202 inf + 3
116.905 * * [simplify]: Extracting #3: cost 257 inf + 6
116.907 * * [simplify]: Extracting #4: cost 483 inf + 214
116.918 * * [simplify]: Extracting #5: cost 715 inf + 17485
116.947 * * [simplify]: Extracting #6: cost 349 inf + 144817
117.042 * * [simplify]: Extracting #7: cost 173 inf + 225726
117.261 * * [simplify]: Extracting #8: cost 9 inf + 342214
117.534 * * [simplify]: Extracting #9: cost 0 inf + 348839
117.725 * [simplify]: Simplified to (* (* (* (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) 4)) (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) -2)
117.725 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) 4)) (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) -2)))
117.726 * * * * [progress]: [ 14 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
117.726 * [simplify]: Simplifying (sqrt (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
117.727 * * [simplify]: iters left: 6 (29 enodes)
117.744 * * [simplify]: iters left: 5 (128 enodes)
117.777 * * [simplify]: iters left: 4 (397 enodes)
118.252 * * [simplify]: Extracting #0: cost 1 inf + 0
118.252 * * [simplify]: Extracting #1: cost 3 inf + 0
118.252 * * [simplify]: Extracting #2: cost 29 inf + 0
118.253 * * [simplify]: Extracting #3: cost 55 inf + 2
118.253 * * [simplify]: Extracting #4: cost 71 inf + 44
118.255 * * [simplify]: Extracting #5: cost 394 inf + 806
118.261 * * [simplify]: Extracting #6: cost 653 inf + 7992
118.291 * * [simplify]: Extracting #7: cost 242 inf + 150057
118.384 * * [simplify]: Extracting #8: cost 8 inf + 249157
118.477 * * [simplify]: Extracting #9: cost 0 inf + 231672
118.556 * * [simplify]: Extracting #10: cost 0 inf + 230832
118.621 * [simplify]: Simplified to (sqrt (/ (* (sqrt (+ (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1)) (cos (/ K 2))) (/ (/ (sqrt (- 1 (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))) -2) J)))
118.621 * [simplify]: Simplified (2 1) to (λ (J K U) (* (sqrt (/ (* (sqrt (+ (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1)) (cos (/ K 2))) (/ (/ (sqrt (- 1 (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))) -2) J))) (sqrt (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
118.621 * [simplify]: Simplifying (sqrt (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
118.622 * * [simplify]: iters left: 6 (29 enodes)
118.631 * * [simplify]: iters left: 5 (128 enodes)
118.675 * * [simplify]: iters left: 4 (397 enodes)
119.173 * * [simplify]: Extracting #0: cost 1 inf + 0
119.173 * * [simplify]: Extracting #1: cost 3 inf + 0
119.173 * * [simplify]: Extracting #2: cost 29 inf + 0
119.173 * * [simplify]: Extracting #3: cost 55 inf + 2
119.174 * * [simplify]: Extracting #4: cost 71 inf + 44
119.176 * * [simplify]: Extracting #5: cost 394 inf + 806
119.182 * * [simplify]: Extracting #6: cost 653 inf + 7992
119.211 * * [simplify]: Extracting #7: cost 242 inf + 150057
119.289 * * [simplify]: Extracting #8: cost 8 inf + 249157
119.378 * * [simplify]: Extracting #9: cost 0 inf + 231672
119.465 * * [simplify]: Extracting #10: cost 0 inf + 230832
119.552 * [simplify]: Simplified to (sqrt (/ (* (sqrt (+ (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1)) (cos (/ K 2))) (/ (/ (sqrt (- 1 (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))) -2) J)))
119.552 * [simplify]: Simplified (2 2) to (λ (J K U) (* (sqrt (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (/ (* (sqrt (+ (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1)) (cos (/ K 2))) (/ (/ (sqrt (- 1 (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))) -2) J)))))
119.553 * * * * [progress]: [ 15 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (- (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2)) (- (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
119.553 * [simplify]: Simplifying (- (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2))
119.554 * * [simplify]: iters left: 6 (19 enodes)
119.565 * * [simplify]: iters left: 5 (88 enodes)
119.601 * * [simplify]: iters left: 4 (240 enodes)
119.779 * * [simplify]: Extracting #0: cost 1 inf + 0
119.779 * * [simplify]: Extracting #1: cost 38 inf + 0
119.779 * * [simplify]: Extracting #2: cost 63 inf + 128
119.780 * * [simplify]: Extracting #3: cost 63 inf + 417
119.780 * * [simplify]: Extracting #4: cost 147 inf + 1745
119.782 * * [simplify]: Extracting #5: cost 366 inf + 3456
119.792 * * [simplify]: Extracting #6: cost 290 inf + 52251
119.836 * * [simplify]: Extracting #7: cost 16 inf + 151094
119.905 * * [simplify]: Extracting #8: cost 0 inf + 156467
119.959 * * [simplify]: Extracting #9: cost 0 inf + 156114
120.041 * [simplify]: Simplified to (* (sqrt (+ (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))) 1)) (* J (* 2 (cos (/ K 2)))))
120.041 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (sqrt (+ (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))) 1)) (* J (* 2 (cos (/ K 2))))) (- (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
120.042 * [simplify]: Simplifying (- (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
120.042 * * [simplify]: iters left: 6 (18 enodes)
120.051 * * [simplify]: iters left: 5 (69 enodes)
120.065 * * [simplify]: iters left: 4 (169 enodes)
120.171 * * [simplify]: Extracting #0: cost 1 inf + 0
120.172 * * [simplify]: Extracting #1: cost 3 inf + 0
120.172 * * [simplify]: Extracting #2: cost 5 inf + 0
120.172 * * [simplify]: Extracting #3: cost 14 inf + 0
120.172 * * [simplify]: Extracting #4: cost 180 inf + 1
120.174 * * [simplify]: Extracting #5: cost 310 inf + 172
120.177 * * [simplify]: Extracting #6: cost 287 inf + 1782
120.184 * * [simplify]: Extracting #7: cost 203 inf + 22865
120.203 * * [simplify]: Extracting #8: cost 20 inf + 80361
120.230 * * [simplify]: Extracting #9: cost 1 inf + 86588
120.254 * * [simplify]: Extracting #10: cost 0 inf + 86893
120.276 * [simplify]: Simplified to (- (sqrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))
120.276 * [simplify]: Simplified (2 2) to (λ (J K U) (/ (* (sqrt (+ (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))) 1)) (* J (* 2 (cos (/ K 2))))) (- (sqrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))
120.277 * * * * [progress]: [ 16 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) (* (cbrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (cbrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (/ -2 (cbrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
120.277 * [simplify]: Simplifying (/ (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) (* (cbrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (cbrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
120.277 * * [simplify]: iters left: 6 (28 enodes)
120.285 * * [simplify]: iters left: 5 (125 enodes)
120.314 * * [simplify]: iters left: 4 (381 enodes)
120.707 * * [simplify]: Extracting #0: cost 1 inf + 0
120.707 * * [simplify]: Extracting #1: cost 40 inf + 0
120.707 * * [simplify]: Extracting #2: cost 72 inf + 1
120.707 * * [simplify]: Extracting #3: cost 81 inf + 1
120.708 * * [simplify]: Extracting #4: cost 194 inf + 333
120.710 * * [simplify]: Extracting #5: cost 573 inf + 1766
120.723 * * [simplify]: Extracting #6: cost 468 inf + 67134
120.792 * * [simplify]: Extracting #7: cost 49 inf + 212197
120.876 * * [simplify]: Extracting #8: cost 6 inf + 236951
120.980 * * [simplify]: Extracting #9: cost 0 inf + 241341
121.074 * [simplify]: Simplified to (/ (* (/ (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (cbrt (sqrt (- 1 (- (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (* (cos (/ K 2)) J)) (cbrt (sqrt (- 1 (- (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))
121.075 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (cbrt (sqrt (- 1 (- (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (* (cos (/ K 2)) J)) (cbrt (sqrt (- 1 (- (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (/ -2 (cbrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
121.076 * [simplify]: Simplifying (/ -2 (cbrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
121.076 * * [simplify]: iters left: 6 (20 enodes)
121.083 * * [simplify]: iters left: 5 (75 enodes)
121.098 * * [simplify]: iters left: 4 (175 enodes)
121.195 * * [simplify]: Extracting #0: cost 1 inf + 0
121.195 * * [simplify]: Extracting #1: cost 4 inf + 0
121.195 * * [simplify]: Extracting #2: cost 5 inf + 1
121.196 * * [simplify]: Extracting #3: cost 7 inf + 1
121.196 * * [simplify]: Extracting #4: cost 16 inf + 1
121.197 * * [simplify]: Extracting #5: cost 184 inf + 2
121.199 * * [simplify]: Extracting #6: cost 308 inf + 545
121.202 * * [simplify]: Extracting #7: cost 280 inf + 2934
121.209 * * [simplify]: Extracting #8: cost 215 inf + 20156
121.242 * * [simplify]: Extracting #9: cost 18 inf + 83231
121.276 * * [simplify]: Extracting #10: cost 4 inf + 86507
121.296 * * [simplify]: Extracting #11: cost 1 inf + 87745
121.330 * * [simplify]: Extracting #12: cost 0 inf + 88291
121.364 * [simplify]: Simplified to (/ -2 (cbrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))))))
121.364 * [simplify]: Simplified (2 2) to (λ (J K U) (* (/ (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) (* (cbrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (cbrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (/ -2 (cbrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))))))))
121.365 * * * * [progress]: [ 17 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) (sqrt (* (cbrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (/ -2 (sqrt (cbrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
121.365 * [simplify]: Simplifying (/ (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) (sqrt (* (cbrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
121.365 * * [simplify]: iters left: 6 (28 enodes)
121.374 * * [simplify]: iters left: 5 (121 enodes)
121.405 * * [simplify]: iters left: 4 (348 enodes)
121.771 * * [simplify]: Extracting #0: cost 1 inf + 0
121.771 * * [simplify]: Extracting #1: cost 21 inf + 0
121.771 * * [simplify]: Extracting #2: cost 36 inf + 1
121.772 * * [simplify]: Extracting #3: cost 45 inf + 1
121.772 * * [simplify]: Extracting #4: cost 165 inf + 148
121.774 * * [simplify]: Extracting #5: cost 569 inf + 916
121.784 * * [simplify]: Extracting #6: cost 489 inf + 55154
121.848 * * [simplify]: Extracting #7: cost 79 inf + 197716
121.932 * * [simplify]: Extracting #8: cost 0 inf + 227855
121.996 * * [simplify]: Extracting #9: cost 0 inf + 227488
122.089 * * [simplify]: Extracting #10: cost 0 inf + 227404
122.178 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (fabs (cbrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))) (* (cos (/ K 2)) J))
122.178 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (fabs (cbrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (cbrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
122.179 * [simplify]: Simplifying (/ -2 (sqrt (cbrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
122.179 * * [simplify]: iters left: 6 (20 enodes)
122.185 * * [simplify]: iters left: 5 (75 enodes)
122.206 * * [simplify]: iters left: 4 (175 enodes)
122.322 * * [simplify]: Extracting #0: cost 1 inf + 0
122.322 * * [simplify]: Extracting #1: cost 4 inf + 0
122.322 * * [simplify]: Extracting #2: cost 5 inf + 1
122.322 * * [simplify]: Extracting #3: cost 7 inf + 1
122.323 * * [simplify]: Extracting #4: cost 16 inf + 1
122.323 * * [simplify]: Extracting #5: cost 184 inf + 2
122.324 * * [simplify]: Extracting #6: cost 308 inf + 545
122.326 * * [simplify]: Extracting #7: cost 280 inf + 2934
122.329 * * [simplify]: Extracting #8: cost 215 inf + 20156
122.353 * * [simplify]: Extracting #9: cost 18 inf + 83231
122.397 * * [simplify]: Extracting #10: cost 4 inf + 86547
122.429 * * [simplify]: Extracting #11: cost 1 inf + 87825
122.450 * * [simplify]: Extracting #12: cost 0 inf + 88371
122.489 * [simplify]: Simplified to (/ -2 (sqrt (cbrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))))))
122.489 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (fabs (cbrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (cbrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))))))))
122.490 * * * * [progress]: [ 18 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (/ -2 (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
122.490 * [simplify]: Simplifying (/ (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
122.491 * * [simplify]: iters left: 6 (27 enodes)
122.506 * * [simplify]: iters left: 5 (117 enodes)
122.548 * * [simplify]: iters left: 4 (342 enodes)
122.938 * * [simplify]: Extracting #0: cost 1 inf + 0
122.938 * * [simplify]: Extracting #1: cost 21 inf + 0
122.939 * * [simplify]: Extracting #2: cost 35 inf + 1
122.939 * * [simplify]: Extracting #3: cost 43 inf + 1
122.939 * * [simplify]: Extracting #4: cost 161 inf + 190
122.941 * * [simplify]: Extracting #5: cost 569 inf + 916
122.950 * * [simplify]: Extracting #6: cost 507 inf + 48413
123.018 * * [simplify]: Extracting #7: cost 88 inf + 189229
123.093 * * [simplify]: Extracting #8: cost 13 inf + 217716
123.161 * * [simplify]: Extracting #9: cost 1 inf + 224861
123.241 * * [simplify]: Extracting #10: cost 0 inf + 225132
123.327 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (- 1 (- (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))))
123.327 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (- 1 (- (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))))) (/ -2 (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
123.328 * [simplify]: Simplifying (/ -2 (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
123.329 * * [simplify]: iters left: 6 (20 enodes)
123.336 * * [simplify]: iters left: 5 (75 enodes)
123.350 * * [simplify]: iters left: 4 (175 enodes)
123.501 * * [simplify]: Extracting #0: cost 1 inf + 0
123.501 * * [simplify]: Extracting #1: cost 4 inf + 0
123.501 * * [simplify]: Extracting #2: cost 5 inf + 1
123.501 * * [simplify]: Extracting #3: cost 7 inf + 1
123.501 * * [simplify]: Extracting #4: cost 16 inf + 1
123.501 * * [simplify]: Extracting #5: cost 184 inf + 2
123.502 * * [simplify]: Extracting #6: cost 308 inf + 545
123.504 * * [simplify]: Extracting #7: cost 280 inf + 2934
123.512 * * [simplify]: Extracting #8: cost 215 inf + 20156
123.530 * * [simplify]: Extracting #9: cost 18 inf + 83231
123.566 * * [simplify]: Extracting #10: cost 4 inf + 86467
123.586 * * [simplify]: Extracting #11: cost 1 inf + 87625
123.618 * * [simplify]: Extracting #12: cost 0 inf + 88131
123.655 * [simplify]: Simplified to (/ -2 (sqrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))))))
123.655 * [simplify]: Simplified (2 2) to (λ (J K U) (* (/ (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (/ -2 (sqrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))))))))
123.656 * * * * [progress]: [ 19 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) (sqrt 1)) (/ -2 (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
123.656 * [simplify]: Simplifying (/ (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) (sqrt 1))
123.656 * * [simplify]: iters left: 6 (18 enodes)
123.666 * * [simplify]: iters left: 5 (80 enodes)
123.694 * * [simplify]: iters left: 4 (208 enodes)
123.878 * * [simplify]: Extracting #0: cost 1 inf + 0
123.878 * * [simplify]: Extracting #1: cost 15 inf + 0
123.878 * * [simplify]: Extracting #2: cost 23 inf + 2
123.879 * * [simplify]: Extracting #3: cost 28 inf + 86
123.879 * * [simplify]: Extracting #4: cost 119 inf + 418
123.880 * * [simplify]: Extracting #5: cost 328 inf + 1952
123.885 * * [simplify]: Extracting #6: cost 328 inf + 24051
123.913 * * [simplify]: Extracting #7: cost 112 inf + 96100
123.963 * * [simplify]: Extracting #8: cost 0 inf + 135681
123.999 * * [simplify]: Extracting #9: cost 0 inf + 135447
124.062 * [simplify]: Simplified to (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J))
124.062 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
124.063 * [simplify]: Simplifying (/ -2 (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
124.063 * * [simplify]: iters left: 6 (19 enodes)
124.074 * * [simplify]: iters left: 5 (72 enodes)
124.100 * * [simplify]: iters left: 4 (170 enodes)
124.229 * * [simplify]: Extracting #0: cost 1 inf + 0
124.229 * * [simplify]: Extracting #1: cost 4 inf + 0
124.229 * * [simplify]: Extracting #2: cost 5 inf + 1
124.229 * * [simplify]: Extracting #3: cost 14 inf + 1
124.229 * * [simplify]: Extracting #4: cost 183 inf + 2
124.230 * * [simplify]: Extracting #5: cost 306 inf + 297
124.232 * * [simplify]: Extracting #6: cost 275 inf + 2934
124.237 * * [simplify]: Extracting #7: cost 193 inf + 23759
124.269 * * [simplify]: Extracting #8: cost 17 inf + 81357
124.308 * * [simplify]: Extracting #9: cost 1 inf + 87546
124.345 * * [simplify]: Extracting #10: cost 0 inf + 87971
124.386 * [simplify]: Simplified to (/ -2 (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2))) (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2)))))))
124.387 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2))) (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2)))))))))
124.387 * * * * [progress]: [ 20 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (/ -2 (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
124.387 * [simplify]: Simplifying (/ (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
124.387 * * [simplify]: iters left: 6 (27 enodes)
124.395 * * [simplify]: iters left: 5 (117 enodes)
124.422 * * [simplify]: iters left: 4 (342 enodes)
124.815 * * [simplify]: Extracting #0: cost 1 inf + 0
124.815 * * [simplify]: Extracting #1: cost 21 inf + 0
124.815 * * [simplify]: Extracting #2: cost 35 inf + 1
124.815 * * [simplify]: Extracting #3: cost 43 inf + 1
124.816 * * [simplify]: Extracting #4: cost 161 inf + 190
124.819 * * [simplify]: Extracting #5: cost 569 inf + 916
124.836 * * [simplify]: Extracting #6: cost 507 inf + 48413
124.885 * * [simplify]: Extracting #7: cost 88 inf + 189229
124.955 * * [simplify]: Extracting #8: cost 13 inf + 217716
125.057 * * [simplify]: Extracting #9: cost 1 inf + 224861
125.170 * * [simplify]: Extracting #10: cost 0 inf + 225132
125.275 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (- 1 (- (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))))
125.275 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (- 1 (- (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))))) (/ -2 (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
125.276 * [simplify]: Simplifying (/ -2 (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
125.276 * * [simplify]: iters left: 6 (20 enodes)
125.282 * * [simplify]: iters left: 5 (75 enodes)
125.297 * * [simplify]: iters left: 4 (175 enodes)
125.433 * * [simplify]: Extracting #0: cost 1 inf + 0
125.433 * * [simplify]: Extracting #1: cost 4 inf + 0
125.433 * * [simplify]: Extracting #2: cost 5 inf + 1
125.433 * * [simplify]: Extracting #3: cost 7 inf + 1
125.433 * * [simplify]: Extracting #4: cost 16 inf + 1
125.434 * * [simplify]: Extracting #5: cost 184 inf + 2
125.436 * * [simplify]: Extracting #6: cost 308 inf + 545
125.439 * * [simplify]: Extracting #7: cost 280 inf + 2934
125.447 * * [simplify]: Extracting #8: cost 215 inf + 20156
125.470 * * [simplify]: Extracting #9: cost 18 inf + 83231
125.493 * * [simplify]: Extracting #10: cost 4 inf + 86467
125.518 * * [simplify]: Extracting #11: cost 1 inf + 87625
125.550 * * [simplify]: Extracting #12: cost 0 inf + 88131
125.590 * [simplify]: Simplified to (/ -2 (sqrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))))))
125.590 * [simplify]: Simplified (2 2) to (λ (J K U) (* (/ (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (/ -2 (sqrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))))))))
125.591 * * * * [progress]: [ 21 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) 1) (/ -2 (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
125.591 * [simplify]: Simplifying (/ (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) 1)
125.591 * * [simplify]: iters left: 6 (17 enodes)
125.596 * * [simplify]: iters left: 5 (75 enodes)
125.612 * * [simplify]: iters left: 4 (208 enodes)
125.796 * * [simplify]: Extracting #0: cost 1 inf + 0
125.796 * * [simplify]: Extracting #1: cost 23 inf + 0
125.796 * * [simplify]: Extracting #2: cost 33 inf + 2
125.796 * * [simplify]: Extracting #3: cost 36 inf + 86
125.797 * * [simplify]: Extracting #4: cost 132 inf + 498
125.799 * * [simplify]: Extracting #5: cost 340 inf + 1665
125.809 * * [simplify]: Extracting #6: cost 336 inf + 22496
125.838 * * [simplify]: Extracting #7: cost 92 inf + 103382
125.874 * * [simplify]: Extracting #8: cost 0 inf + 137008
125.916 * * [simplify]: Extracting #9: cost 0 inf + 136969
125.952 * [simplify]: Simplified to (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J))
125.952 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
125.953 * [simplify]: Simplifying (/ -2 (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
125.953 * * [simplify]: iters left: 6 (19 enodes)
125.959 * * [simplify]: iters left: 5 (72 enodes)
125.973 * * [simplify]: iters left: 4 (170 enodes)
126.083 * * [simplify]: Extracting #0: cost 1 inf + 0
126.083 * * [simplify]: Extracting #1: cost 4 inf + 0
126.083 * * [simplify]: Extracting #2: cost 5 inf + 1
126.083 * * [simplify]: Extracting #3: cost 14 inf + 1
126.083 * * [simplify]: Extracting #4: cost 183 inf + 2
126.084 * * [simplify]: Extracting #5: cost 306 inf + 297
126.086 * * [simplify]: Extracting #6: cost 275 inf + 2934
126.090 * * [simplify]: Extracting #7: cost 193 inf + 23759
126.106 * * [simplify]: Extracting #8: cost 17 inf + 81357
126.141 * * [simplify]: Extracting #9: cost 1 inf + 87546
126.173 * * [simplify]: Extracting #10: cost 0 inf + 87971
126.202 * [simplify]: Simplified to (/ -2 (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2))) (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2)))))))
126.202 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2))) (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2)))))))))
126.202 * * * * [progress]: [ 22 / 194 ] simplifiying candidate #<alt (λ (J K U) (* 1 (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
126.203 * * * * [progress]: [ 23 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ 1 (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
126.203 * [simplify]: Simplifying (/ 1 (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
126.203 * * [simplify]: iters left: 6 (18 enodes)
126.213 * * [simplify]: iters left: 5 (69 enodes)
126.239 * * [simplify]: iters left: 4 (167 enodes)
126.361 * * [simplify]: Extracting #0: cost 1 inf + 0
126.361 * * [simplify]: Extracting #1: cost 4 inf + 0
126.361 * * [simplify]: Extracting #2: cost 5 inf + 1
126.361 * * [simplify]: Extracting #3: cost 13 inf + 1
126.362 * * [simplify]: Extracting #4: cost 181 inf + 1
126.364 * * [simplify]: Extracting #5: cost 306 inf + 170
126.367 * * [simplify]: Extracting #6: cost 277 inf + 2562
126.375 * * [simplify]: Extracting #7: cost 197 inf + 22825
126.408 * * [simplify]: Extracting #8: cost 27 inf + 75656
126.447 * * [simplify]: Extracting #9: cost 2 inf + 83519
126.486 * * [simplify]: Extracting #10: cost 0 inf + 84367
126.525 * [simplify]: Simplified to (/ 1 (sqrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))
126.525 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ 1 (sqrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))
126.525 * * * * [progress]: [ 24 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ 1 (/ (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2))))>
126.526 * [simplify]: Simplifying (/ (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2))
126.526 * * [simplify]: iters left: 6 (28 enodes)
126.542 * * [simplify]: iters left: 5 (124 enodes)
126.596 * * [simplify]: iters left: 4 (385 enodes)
127.014 * * [simplify]: Extracting #0: cost 1 inf + 0
127.014 * * [simplify]: Extracting #1: cost 10 inf + 0
127.014 * * [simplify]: Extracting #2: cost 34 inf + 1
127.014 * * [simplify]: Extracting #3: cost 56 inf + 2
127.015 * * [simplify]: Extracting #4: cost 302 inf + 87
127.023 * * [simplify]: Extracting #5: cost 590 inf + 13887
127.055 * * [simplify]: Extracting #6: cost 277 inf + 119684
127.119 * * [simplify]: Extracting #7: cost 18 inf + 215475
127.194 * * [simplify]: Extracting #8: cost 1 inf + 223113
127.270 * * [simplify]: Extracting #9: cost 0 inf + 223779
127.352 * [simplify]: Simplified to (/ (/ (/ (sqrt (+ (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (- 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) (sqrt (+ (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) 1))) -2)
127.352 * [simplify]: Simplified (2 2) to (λ (J K U) (/ 1 (/ (/ (/ (sqrt (+ (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (- 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) (sqrt (+ (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) 1))) -2)))
127.353 * * * * [progress]: [ 25 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (cbrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (cbrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (cbrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
127.353 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (cbrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (cbrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
127.354 * * [simplify]: iters left: 6 (30 enodes)
127.370 * * [simplify]: iters left: 5 (136 enodes)
127.403 * * [simplify]: iters left: 4 (423 enodes)
127.954 * * [simplify]: Extracting #0: cost 1 inf + 0
127.954 * * [simplify]: Extracting #1: cost 51 inf + 0
127.954 * * [simplify]: Extracting #2: cost 108 inf + 2
127.955 * * [simplify]: Extracting #3: cost 120 inf + 44
127.956 * * [simplify]: Extracting #4: cost 234 inf + 418
127.960 * * [simplify]: Extracting #5: cost 605 inf + 1714
127.974 * * [simplify]: Extracting #6: cost 549 inf + 34933
128.014 * * [simplify]: Extracting #7: cost 181 inf + 158799
128.103 * * [simplify]: Extracting #8: cost 53 inf + 217474
128.231 * * [simplify]: Extracting #9: cost 7 inf + 247696
128.371 * * [simplify]: Extracting #10: cost 0 inf + 253075
128.453 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (/ -2 (cbrt (sqrt (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))))) (/ (cbrt (sqrt (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))) (* (cos (/ K 2)) J)))
128.453 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (/ (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (/ -2 (cbrt (sqrt (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))))) (/ (cbrt (sqrt (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))) (* (cos (/ K 2)) J))) (cbrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
128.454 * * * * [progress]: [ 26 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (* (cbrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (cbrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
128.454 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (* (cbrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
128.454 * * [simplify]: iters left: 6 (30 enodes)
128.467 * * [simplify]: iters left: 5 (132 enodes)
128.519 * * [simplify]: iters left: 4 (399 enodes)
129.023 * * [simplify]: Extracting #0: cost 1 inf + 0
129.023 * * [simplify]: Extracting #1: cost 27 inf + 0
129.024 * * [simplify]: Extracting #2: cost 54 inf + 2
129.024 * * [simplify]: Extracting #3: cost 65 inf + 44
129.025 * * [simplify]: Extracting #4: cost 190 inf + 561
129.028 * * [simplify]: Extracting #5: cost 567 inf + 1571
129.042 * * [simplify]: Extracting #6: cost 535 inf + 41128
129.114 * * [simplify]: Extracting #7: cost 95 inf + 193966
129.225 * * [simplify]: Extracting #8: cost 5 inf + 233599
129.334 * * [simplify]: Extracting #9: cost 0 inf + 236564
129.415 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (cos (/ K 2))) (/ (fabs (cbrt (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (* J -2)))
129.415 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (/ (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (cos (/ K 2))) (/ (fabs (cbrt (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (* J -2))) (sqrt (cbrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
129.416 * * * * [progress]: [ 27 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
129.416 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
129.417 * * [simplify]: iters left: 6 (29 enodes)
129.434 * * [simplify]: iters left: 5 (128 enodes)
129.492 * * [simplify]: iters left: 4 (397 enodes)
130.013 * * [simplify]: Extracting #0: cost 1 inf + 0
130.014 * * [simplify]: Extracting #1: cost 27 inf + 0
130.014 * * [simplify]: Extracting #2: cost 53 inf + 2
130.014 * * [simplify]: Extracting #3: cost 63 inf + 44
130.015 * * [simplify]: Extracting #4: cost 178 inf + 806
130.018 * * [simplify]: Extracting #5: cost 553 inf + 1926
130.028 * * [simplify]: Extracting #6: cost 561 inf + 29042
130.061 * * [simplify]: Extracting #7: cost 171 inf + 158205
130.535 * * [simplify]: Extracting #8: cost 19 inf + 219636
130.630 * * [simplify]: Extracting #9: cost 2 inf + 229991
130.719 * * [simplify]: Extracting #10: cost 0 inf + 231283
130.812 * [simplify]: Simplified to (/ (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) 1))) (sqrt (sqrt (- 1 (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (- 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))))
130.812 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (/ (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) 1))) (sqrt (sqrt (- 1 (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (- 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
130.812 * * * * [progress]: [ 28 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt 1)) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
130.812 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt 1))
130.812 * * [simplify]: iters left: 6 (20 enodes)
130.824 * * [simplify]: iters left: 5 (90 enodes)
130.860 * * [simplify]: iters left: 4 (225 enodes)
130.995 * * [simplify]: Extracting #0: cost 1 inf + 0
130.995 * * [simplify]: Extracting #1: cost 30 inf + 0
130.995 * * [simplify]: Extracting #2: cost 39 inf + 4
130.995 * * [simplify]: Extracting #3: cost 41 inf + 130
130.996 * * [simplify]: Extracting #4: cost 127 inf + 913
130.997 * * [simplify]: Extracting #5: cost 326 inf + 3014
131.008 * * [simplify]: Extracting #6: cost 312 inf + 27400
131.048 * * [simplify]: Extracting #7: cost 95 inf + 102712
131.098 * * [simplify]: Extracting #8: cost 0 inf + 137408
131.156 * * [simplify]: Extracting #9: cost 0 inf + 137286
131.192 * [simplify]: Simplified to (/ (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (/ -1/2 (* (cos (/ K 2)) J)))
131.192 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (/ (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (/ -1/2 (* (cos (/ K 2)) J))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
131.193 * * * * [progress]: [ 29 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
131.193 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
131.193 * * [simplify]: iters left: 6 (29 enodes)
131.203 * * [simplify]: iters left: 5 (128 enodes)
131.230 * * [simplify]: iters left: 4 (397 enodes)
131.731 * * [simplify]: Extracting #0: cost 1 inf + 0
131.731 * * [simplify]: Extracting #1: cost 27 inf + 0
131.732 * * [simplify]: Extracting #2: cost 53 inf + 2
131.733 * * [simplify]: Extracting #3: cost 63 inf + 44
131.733 * * [simplify]: Extracting #4: cost 178 inf + 806
131.735 * * [simplify]: Extracting #5: cost 553 inf + 1926
131.741 * * [simplify]: Extracting #6: cost 561 inf + 29042
131.774 * * [simplify]: Extracting #7: cost 171 inf + 158205
131.869 * * [simplify]: Extracting #8: cost 19 inf + 219636
131.966 * * [simplify]: Extracting #9: cost 2 inf + 229991
132.054 * * [simplify]: Extracting #10: cost 0 inf + 231283
132.134 * [simplify]: Simplified to (/ (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) 1))) (sqrt (sqrt (- 1 (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (- 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))))
132.134 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (/ (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) 1))) (sqrt (sqrt (- 1 (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (- 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
132.134 * * * * [progress]: [ 30 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) 1) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
132.134 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) 1)
132.135 * * [simplify]: iters left: 6 (19 enodes)
132.146 * * [simplify]: iters left: 5 (85 enodes)
132.180 * * [simplify]: iters left: 4 (223 enodes)
132.339 * * [simplify]: Extracting #0: cost 1 inf + 0
132.339 * * [simplify]: Extracting #1: cost 37 inf + 0
132.339 * * [simplify]: Extracting #2: cost 49 inf + 171
132.339 * * [simplify]: Extracting #3: cost 52 inf + 255
132.340 * * [simplify]: Extracting #4: cost 141 inf + 1464
132.341 * * [simplify]: Extracting #5: cost 346 inf + 3525
132.352 * * [simplify]: Extracting #6: cost 255 inf + 57784
132.388 * * [simplify]: Extracting #7: cost 4 inf + 147671
132.428 * * [simplify]: Extracting #8: cost 0 inf + 147828
132.467 * [simplify]: Simplified to (/ (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (/ -1/2 (* (cos (/ K 2)) J)))
132.467 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (/ (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (/ -1/2 (* (cos (/ K 2)) J))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
132.467 * * * * [progress]: [ 31 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) (/ (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2)))>
132.468 * [simplify]: Simplifying (/ (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2)
132.468 * * [simplify]: iters left: 6 (19 enodes)
132.475 * * [simplify]: iters left: 5 (72 enodes)
132.501 * * [simplify]: iters left: 4 (172 enodes)
132.614 * * [simplify]: Extracting #0: cost 1 inf + 0
132.614 * * [simplify]: Extracting #1: cost 4 inf + 0
132.614 * * [simplify]: Extracting #2: cost 5 inf + 1
132.614 * * [simplify]: Extracting #3: cost 14 inf + 1
132.615 * * [simplify]: Extracting #4: cost 182 inf + 2
132.616 * * [simplify]: Extracting #5: cost 310 inf + 297
132.619 * * [simplify]: Extracting #6: cost 281 inf + 2769
132.628 * * [simplify]: Extracting #7: cost 195 inf + 25131
132.659 * * [simplify]: Extracting #8: cost 13 inf + 81961
132.697 * * [simplify]: Extracting #9: cost 1 inf + 85154
132.737 * * [simplify]: Extracting #10: cost 0 inf + 85538
132.763 * [simplify]: Simplified to (/ (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2)
132.763 * [simplify]: Simplified (2 2) to (λ (J K U) (/ (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) (/ (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2)))
132.763 * * * * [progress]: [ 32 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
132.764 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))
132.764 * * [simplify]: iters left: 6 (41 enodes)
132.777 * * [simplify]: iters left: 5 (210 enodes)
132.833 * * [simplify]: Extracting #0: cost 1 inf + 0
132.834 * * [simplify]: Extracting #1: cost 16 inf + 0
132.834 * * [simplify]: Extracting #2: cost 33 inf + 1
132.834 * * [simplify]: Extracting #3: cost 41 inf + 44
132.834 * * [simplify]: Extracting #4: cost 102 inf + 45
132.835 * * [simplify]: Extracting #5: cost 243 inf + 377
132.836 * * [simplify]: Extracting #6: cost 241 inf + 4175
132.840 * * [simplify]: Extracting #7: cost 153 inf + 24968
132.855 * * [simplify]: Extracting #8: cost 56 inf + 60912
132.886 * * [simplify]: Extracting #9: cost 16 inf + 78933
132.905 * * [simplify]: Extracting #10: cost 13 inf + 80688
132.941 * * [simplify]: Extracting #11: cost 6 inf + 86786
132.979 * * [simplify]: Extracting #12: cost 1 inf + 91115
133.008 * * [simplify]: Extracting #13: cost 0 inf + 92061
133.057 * [simplify]: Simplified to (/ (sqrt (+ 1 (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (/ (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* U U) (* U U)))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))) (* (* (cos (/ K 2)) J) -2)))
133.057 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ 1 (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (/ (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* U U) (* U U)))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))) (* (* (cos (/ K 2)) J) -2))) (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
133.058 * * * * [progress]: [ 33 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
133.058 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
133.059 * * [simplify]: iters left: 6 (36 enodes)
133.081 * * [simplify]: iters left: 5 (179 enodes)
133.138 * * [simplify]: Extracting #0: cost 1 inf + 0
133.138 * * [simplify]: Extracting #1: cost 16 inf + 0
133.138 * * [simplify]: Extracting #2: cost 33 inf + 1
133.138 * * [simplify]: Extracting #3: cost 42 inf + 2
133.139 * * [simplify]: Extracting #4: cost 91 inf + 45
133.139 * * [simplify]: Extracting #5: cost 225 inf + 684
133.141 * * [simplify]: Extracting #6: cost 207 inf + 6692
133.154 * * [simplify]: Extracting #7: cost 69 inf + 47555
133.181 * * [simplify]: Extracting #8: cost 17 inf + 67507
133.215 * * [simplify]: Extracting #9: cost 4 inf + 77076
133.259 * * [simplify]: Extracting #10: cost 0 inf + 80739
133.297 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* (* U U) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* U U) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* U U) (* U U))))))
133.297 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* (* U U) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* U U) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* U U) (* U U)))))) (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
133.298 * * * * [progress]: [ 34 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
133.298 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))
133.299 * * [simplify]: iters left: 6 (42 enodes)
133.326 * * [simplify]: iters left: 5 (213 enodes)
133.428 * * [simplify]: Extracting #0: cost 1 inf + 0
133.428 * * [simplify]: Extracting #1: cost 16 inf + 0
133.428 * * [simplify]: Extracting #2: cost 33 inf + 1
133.429 * * [simplify]: Extracting #3: cost 42 inf + 2
133.429 * * [simplify]: Extracting #4: cost 110 inf + 45
133.429 * * [simplify]: Extracting #5: cost 257 inf + 479
133.432 * * [simplify]: Extracting #6: cost 228 inf + 10334
133.439 * * [simplify]: Extracting #7: cost 106 inf + 46736
133.466 * * [simplify]: Extracting #8: cost 12 inf + 93696
133.494 * * [simplify]: Extracting #9: cost 0 inf + 103479
133.547 * * [simplify]: Extracting #10: cost 0 inf + 102881
133.606 * * [simplify]: Extracting #11: cost 0 inf + 102601
133.637 * [simplify]: Simplified to (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1))) (sqrt (+ (* (* (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* 2 (cos (/ K 2))) J)) (* U (* U (* U (* (/ (/ (/ U 2) (cos (/ K 2))) J) (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1))))))))
133.637 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1))) (sqrt (+ (* (* (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* 2 (cos (/ K 2))) J)) (* U (* U (* U (* (/ (/ (/ U 2) (cos (/ K 2))) J) (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)))))))) (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
133.638 * * * * [progress]: [ 35 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
133.638 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
133.638 * * [simplify]: iters left: 6 (37 enodes)
133.650 * * [simplify]: iters left: 5 (182 enodes)
133.734 * * [simplify]: Extracting #0: cost 1 inf + 0
133.735 * * [simplify]: Extracting #1: cost 16 inf + 0
133.735 * * [simplify]: Extracting #2: cost 33 inf + 1
133.735 * * [simplify]: Extracting #3: cost 41 inf + 44
133.735 * * [simplify]: Extracting #4: cost 97 inf + 45
133.737 * * [simplify]: Extracting #5: cost 232 inf + 746
133.741 * * [simplify]: Extracting #6: cost 197 inf + 9002
133.760 * * [simplify]: Extracting #7: cost 46 inf + 57292
133.777 * * [simplify]: Extracting #8: cost 8 inf + 75629
133.806 * * [simplify]: Extracting #9: cost 1 inf + 81887
133.847 * * [simplify]: Extracting #10: cost 0 inf + 82467
133.885 * * [simplify]: Extracting #11: cost 0 inf + 82426
133.906 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (* (* U U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* U (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1)))))))
133.906 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (* (* U U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* U (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1))))))) (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
133.906 * * * * [progress]: [ 36 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
133.907 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))
133.908 * * [simplify]: iters left: 6 (42 enodes)
133.935 * * [simplify]: iters left: 5 (213 enodes)
134.009 * * [simplify]: Extracting #0: cost 1 inf + 0
134.009 * * [simplify]: Extracting #1: cost 16 inf + 0
134.009 * * [simplify]: Extracting #2: cost 33 inf + 1
134.009 * * [simplify]: Extracting #3: cost 41 inf + 44
134.010 * * [simplify]: Extracting #4: cost 110 inf + 45
134.011 * * [simplify]: Extracting #5: cost 258 inf + 479
134.015 * * [simplify]: Extracting #6: cost 241 inf + 6796
134.022 * * [simplify]: Extracting #7: cost 116 inf + 42591
134.041 * * [simplify]: Extracting #8: cost 21 inf + 87887
134.087 * * [simplify]: Extracting #9: cost 0 inf + 101578
134.145 * * [simplify]: Extracting #10: cost 0 inf + 100898
134.176 * [simplify]: Simplified to (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))) (sqrt (+ (* (* (* 2 (cos (/ K 2))) J) (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* U U)) (* U (/ (/ U (cos (/ K 2))) (* 2 J)))))))
134.176 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))) (sqrt (+ (* (* (* 2 (cos (/ K 2))) J) (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* U U)) (* U (/ (/ U (cos (/ K 2))) (* 2 J))))))) (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
134.177 * * * * [progress]: [ 37 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
134.177 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
134.178 * * [simplify]: iters left: 6 (37 enodes)
134.199 * * [simplify]: iters left: 5 (182 enodes)
134.288 * * [simplify]: Extracting #0: cost 1 inf + 0
134.289 * * [simplify]: Extracting #1: cost 16 inf + 0
134.289 * * [simplify]: Extracting #2: cost 33 inf + 1
134.289 * * [simplify]: Extracting #3: cost 41 inf + 44
134.289 * * [simplify]: Extracting #4: cost 97 inf + 45
134.291 * * [simplify]: Extracting #5: cost 231 inf + 889
134.293 * * [simplify]: Extracting #6: cost 199 inf + 8845
134.303 * * [simplify]: Extracting #7: cost 57 inf + 53256
134.320 * * [simplify]: Extracting #8: cost 6 inf + 77347
134.341 * * [simplify]: Extracting #9: cost 0 inf + 81941
134.362 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* U U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* U (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1)))))))
134.362 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* U U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* U (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1))))))) (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
134.363 * * * * [progress]: [ 38 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
134.363 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))
134.364 * * [simplify]: iters left: 6 (42 enodes)
134.388 * * [simplify]: iters left: 5 (214 enodes)
134.463 * * [simplify]: Extracting #0: cost 1 inf + 0
134.463 * * [simplify]: Extracting #1: cost 16 inf + 0
134.463 * * [simplify]: Extracting #2: cost 33 inf + 1
134.463 * * [simplify]: Extracting #3: cost 41 inf + 44
134.463 * * [simplify]: Extracting #4: cost 109 inf + 45
134.464 * * [simplify]: Extracting #5: cost 255 inf + 621
134.467 * * [simplify]: Extracting #6: cost 216 inf + 12723
134.476 * * [simplify]: Extracting #7: cost 93 inf + 51948
134.505 * * [simplify]: Extracting #8: cost 29 inf + 80481
134.549 * * [simplify]: Extracting #9: cost 9 inf + 94298
134.585 * * [simplify]: Extracting #10: cost 1 inf + 100943
134.620 * * [simplify]: Extracting #11: cost 0 inf + 102049
134.655 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (* 2 (* (cos (/ K 2)) J))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) U)))))
134.655 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (* 2 (* (cos (/ K 2)) J))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) U))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
134.656 * * * * [progress]: [ 39 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
134.656 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
134.657 * * [simplify]: iters left: 6 (37 enodes)
134.670 * * [simplify]: iters left: 5 (184 enodes)
134.745 * * [simplify]: Extracting #0: cost 1 inf + 0
134.745 * * [simplify]: Extracting #1: cost 16 inf + 0
134.745 * * [simplify]: Extracting #2: cost 33 inf + 1
134.745 * * [simplify]: Extracting #3: cost 41 inf + 44
134.745 * * [simplify]: Extracting #4: cost 99 inf + 45
134.746 * * [simplify]: Extracting #5: cost 237 inf + 664
134.749 * * [simplify]: Extracting #6: cost 190 inf + 13414
134.762 * * [simplify]: Extracting #7: cost 57 inf + 55564
134.781 * * [simplify]: Extracting #8: cost 5 inf + 82382
134.803 * * [simplify]: Extracting #9: cost 0 inf + 86547
134.830 * * [simplify]: Extracting #10: cost 0 inf + 86182
134.852 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* 2 (cos (/ K 2))) J) (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (* (* U U) U) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1))))))
134.852 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* 2 (cos (/ K 2))) J) (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (* (* U U) U) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1)))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
134.853 * * * * [progress]: [ 40 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
134.853 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))
134.854 * * [simplify]: iters left: 6 (40 enodes)
134.878 * * [simplify]: iters left: 5 (205 enodes)
134.950 * * [simplify]: Extracting #0: cost 1 inf + 0
134.950 * * [simplify]: Extracting #1: cost 16 inf + 0
134.950 * * [simplify]: Extracting #2: cost 33 inf + 1
134.951 * * [simplify]: Extracting #3: cost 41 inf + 44
134.951 * * [simplify]: Extracting #4: cost 112 inf + 45
134.952 * * [simplify]: Extracting #5: cost 260 inf + 805
134.955 * * [simplify]: Extracting #6: cost 245 inf + 6878
134.965 * * [simplify]: Extracting #7: cost 117 inf + 48715
134.992 * * [simplify]: Extracting #8: cost 13 inf + 91319
135.018 * * [simplify]: Extracting #9: cost 7 inf + 93670
135.066 * * [simplify]: Extracting #10: cost 0 inf + 99971
135.100 * [simplify]: Simplified to (/ (* (* (cos (/ K 2)) J) (* (sqrt (+ 1 (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))))) -2)) (sqrt (+ (* (- 1 (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (+ (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))))))
135.100 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (cos (/ K 2)) J) (* (sqrt (+ 1 (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))))) -2)) (sqrt (+ (* (- 1 (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (+ (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
135.101 * * * * [progress]: [ 41 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
135.101 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
135.102 * * [simplify]: iters left: 6 (35 enodes)
135.124 * * [simplify]: iters left: 5 (175 enodes)
135.192 * * [simplify]: Extracting #0: cost 1 inf + 0
135.192 * * [simplify]: Extracting #1: cost 16 inf + 0
135.193 * * [simplify]: Extracting #2: cost 33 inf + 1
135.193 * * [simplify]: Extracting #3: cost 41 inf + 44
135.193 * * [simplify]: Extracting #4: cost 98 inf + 45
135.194 * * [simplify]: Extracting #5: cost 236 inf + 478
135.198 * * [simplify]: Extracting #6: cost 206 inf + 7584
135.217 * * [simplify]: Extracting #7: cost 50 inf + 55351
135.252 * * [simplify]: Extracting #8: cost 3 inf + 78172
135.282 * * [simplify]: Extracting #9: cost 0 inf + 80573
135.304 * [simplify]: Simplified to (/ (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (/ (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* U U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1))))) (* (* (cos (/ K 2)) J) -2)))
135.305 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (/ (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* U U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1))))) (* (* (cos (/ K 2)) J) -2))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
135.305 * * * * [progress]: [ 42 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
135.306 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))
135.306 * * [simplify]: iters left: 6 (41 enodes)
135.334 * * [simplify]: iters left: 5 (205 enodes)
135.434 * * [simplify]: Extracting #0: cost 1 inf + 0
135.434 * * [simplify]: Extracting #1: cost 16 inf + 0
135.434 * * [simplify]: Extracting #2: cost 33 inf + 1
135.434 * * [simplify]: Extracting #3: cost 41 inf + 44
135.435 * * [simplify]: Extracting #4: cost 105 inf + 45
135.436 * * [simplify]: Extracting #5: cost 234 inf + 889
135.440 * * [simplify]: Extracting #6: cost 210 inf + 9192
135.463 * * [simplify]: Extracting #7: cost 61 inf + 59237
135.507 * * [simplify]: Extracting #8: cost 8 inf + 86090
135.561 * * [simplify]: Extracting #9: cost 0 inf + 91894
135.615 * [simplify]: Simplified to (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (+ (* (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))))))
135.615 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (+ (* (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
135.616 * * * * [progress]: [ 43 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
135.616 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
135.617 * * [simplify]: iters left: 6 (36 enodes)
135.643 * * [simplify]: iters left: 5 (174 enodes)
135.724 * * [simplify]: Extracting #0: cost 1 inf + 0
135.725 * * [simplify]: Extracting #1: cost 16 inf + 0
135.725 * * [simplify]: Extracting #2: cost 33 inf + 1
135.725 * * [simplify]: Extracting #3: cost 41 inf + 44
135.725 * * [simplify]: Extracting #4: cost 94 inf + 45
135.727 * * [simplify]: Extracting #5: cost 217 inf + 479
135.730 * * [simplify]: Extracting #6: cost 180 inf + 9168
135.747 * * [simplify]: Extracting #7: cost 53 inf + 48357
135.781 * * [simplify]: Extracting #8: cost 15 inf + 64978
135.813 * * [simplify]: Extracting #9: cost 8 inf + 69794
135.852 * * [simplify]: Extracting #10: cost 1 inf + 76415
135.891 * * [simplify]: Extracting #11: cost 0 inf + 77521
135.912 * [simplify]: Simplified to (/ (* (* J (* (cos (/ K 2)) -2)) (sqrt (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) 1))) (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U))))))
135.912 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* J (* (cos (/ K 2)) -2)) (sqrt (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) 1))) (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U)))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
135.912 * * * * [progress]: [ 44 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
135.913 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))
135.913 * * [simplify]: iters left: 6 (42 enodes)
135.931 * * [simplify]: iters left: 5 (214 enodes)
136.010 * * [simplify]: Extracting #0: cost 1 inf + 0
136.010 * * [simplify]: Extracting #1: cost 16 inf + 0
136.010 * * [simplify]: Extracting #2: cost 33 inf + 1
136.010 * * [simplify]: Extracting #3: cost 41 inf + 44
136.011 * * [simplify]: Extracting #4: cost 107 inf + 45
136.012 * * [simplify]: Extracting #5: cost 252 inf + 764
136.016 * * [simplify]: Extracting #6: cost 222 inf + 10759
136.032 * * [simplify]: Extracting #7: cost 97 inf + 51335
136.059 * * [simplify]: Extracting #8: cost 29 inf + 82401
136.085 * * [simplify]: Extracting #9: cost 11 inf + 91904
136.134 * * [simplify]: Extracting #10: cost 1 inf + 100279
136.164 * * [simplify]: Extracting #11: cost 0 inf + 101225
136.197 * [simplify]: Simplified to (/ -2 (/ (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))))) (* (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J))) (+ (+ (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) 1)))) (* (sqrt (+ (* (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) 1)) (* (cos (/ K 2)) J))))
136.197 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ -2 (/ (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))))) (* (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J))) (+ (+ (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) 1)))) (* (sqrt (+ (* (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) 1)) (* (cos (/ K 2)) J)))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
136.198 * * * * [progress]: [ 45 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
136.198 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
136.199 * * [simplify]: iters left: 6 (37 enodes)
136.213 * * [simplify]: iters left: 5 (184 enodes)
136.265 * * [simplify]: Extracting #0: cost 1 inf + 0
136.265 * * [simplify]: Extracting #1: cost 16 inf + 0
136.265 * * [simplify]: Extracting #2: cost 33 inf + 1
136.265 * * [simplify]: Extracting #3: cost 41 inf + 44
136.265 * * [simplify]: Extracting #4: cost 97 inf + 45
136.266 * * [simplify]: Extracting #5: cost 236 inf + 622
136.268 * * [simplify]: Extracting #6: cost 191 inf + 12466
136.279 * * [simplify]: Extracting #7: cost 52 inf + 56138
136.304 * * [simplify]: Extracting #8: cost 6 inf + 80084
136.337 * * [simplify]: Extracting #9: cost 2 inf + 83066
136.378 * * [simplify]: Extracting #10: cost 0 inf + 84958
136.400 * [simplify]: Simplified to (/ -2 (/ (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (* (* (* 2 (cos (/ K 2))) J) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))) U))) (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J))))
136.400 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ -2 (/ (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (* (* (* 2 (cos (/ K 2))) J) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))) U))) (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
136.401 * * * * [progress]: [ 46 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
136.401 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))
136.401 * * [simplify]: iters left: 6 (41 enodes)
136.423 * * [simplify]: iters left: 5 (204 enodes)
136.499 * * [simplify]: Extracting #0: cost 1 inf + 0
136.499 * * [simplify]: Extracting #1: cost 16 inf + 0
136.499 * * [simplify]: Extracting #2: cost 33 inf + 1
136.500 * * [simplify]: Extracting #3: cost 42 inf + 2
136.500 * * [simplify]: Extracting #4: cost 106 inf + 45
136.501 * * [simplify]: Extracting #5: cost 238 inf + 765
136.505 * * [simplify]: Extracting #6: cost 223 inf + 6936
136.520 * * [simplify]: Extracting #7: cost 94 inf + 46245
136.557 * * [simplify]: Extracting #8: cost 17 inf + 82078
136.587 * * [simplify]: Extracting #9: cost 8 inf + 88387
136.616 * * [simplify]: Extracting #10: cost 0 inf + 96593
136.650 * * [simplify]: Extracting #11: cost 0 inf + 95713
136.681 * [simplify]: Simplified to (/ (* (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) U) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))
136.682 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) U) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
136.683 * * * * [progress]: [ 47 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
136.683 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
136.684 * * [simplify]: iters left: 6 (36 enodes)
136.706 * * [simplify]: iters left: 5 (174 enodes)
136.768 * * [simplify]: Extracting #0: cost 1 inf + 0
136.768 * * [simplify]: Extracting #1: cost 16 inf + 0
136.768 * * [simplify]: Extracting #2: cost 33 inf + 1
136.768 * * [simplify]: Extracting #3: cost 41 inf + 44
136.769 * * [simplify]: Extracting #4: cost 95 inf + 45
136.770 * * [simplify]: Extracting #5: cost 219 inf + 521
136.773 * * [simplify]: Extracting #6: cost 195 inf + 6326
136.789 * * [simplify]: Extracting #7: cost 59 inf + 47349
136.818 * * [simplify]: Extracting #8: cost 16 inf + 65891
136.848 * * [simplify]: Extracting #9: cost 13 inf + 67047
136.882 * * [simplify]: Extracting #10: cost 6 inf + 73064
136.901 * * [simplify]: Extracting #11: cost 0 inf + 78300
136.934 * [simplify]: Simplified to (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) 1))) (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) U) (* U (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))))
136.935 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) 1))) (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) U) (* U (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
136.935 * * * * [progress]: [ 48 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
136.936 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))
136.937 * * [simplify]: iters left: 6 (40 enodes)
136.951 * * [simplify]: iters left: 5 (205 enodes)
137.033 * * [simplify]: Extracting #0: cost 1 inf + 0
137.034 * * [simplify]: Extracting #1: cost 16 inf + 0
137.034 * * [simplify]: Extracting #2: cost 33 inf + 1
137.034 * * [simplify]: Extracting #3: cost 41 inf + 44
137.034 * * [simplify]: Extracting #4: cost 111 inf + 45
137.035 * * [simplify]: Extracting #5: cost 258 inf + 846
137.037 * * [simplify]: Extracting #6: cost 219 inf + 12440
137.049 * * [simplify]: Extracting #7: cost 70 inf + 64129
137.083 * * [simplify]: Extracting #8: cost 14 inf + 89912
137.131 * * [simplify]: Extracting #9: cost 2 inf + 99658
137.168 * * [simplify]: Extracting #10: cost 0 inf + 100590
137.221 * * [simplify]: Extracting #11: cost 0 inf + 100390
137.254 * [simplify]: Simplified to (/ (* (* -2 (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* U U)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))
137.254 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* -2 (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* U U)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
137.254 * * * * [progress]: [ 49 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
137.255 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
137.255 * * [simplify]: iters left: 6 (35 enodes)
137.266 * * [simplify]: iters left: 5 (175 enodes)
137.340 * * [simplify]: Extracting #0: cost 1 inf + 0
137.340 * * [simplify]: Extracting #1: cost 16 inf + 0
137.340 * * [simplify]: Extracting #2: cost 33 inf + 1
137.340 * * [simplify]: Extracting #3: cost 41 inf + 44
137.340 * * [simplify]: Extracting #4: cost 97 inf + 45
137.341 * * [simplify]: Extracting #5: cost 238 inf + 478
137.343 * * [simplify]: Extracting #6: cost 209 inf + 7645
137.352 * * [simplify]: Extracting #7: cost 60 inf + 51027
137.367 * * [simplify]: Extracting #8: cost 13 inf + 70676
137.397 * * [simplify]: Extracting #9: cost 2 inf + 79847
137.439 * * [simplify]: Extracting #10: cost 0 inf + 81461
137.459 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J)) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))))
137.459 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J)) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
137.460 * * * * [progress]: [ 50 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
137.460 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))
137.460 * * [simplify]: iters left: 6 (40 enodes)
137.479 * * [simplify]: iters left: 5 (205 enodes)
137.577 * * [simplify]: Extracting #0: cost 1 inf + 0
137.577 * * [simplify]: Extracting #1: cost 16 inf + 0
137.577 * * [simplify]: Extracting #2: cost 33 inf + 1
137.577 * * [simplify]: Extracting #3: cost 41 inf + 44
137.578 * * [simplify]: Extracting #4: cost 111 inf + 45
137.578 * * [simplify]: Extracting #5: cost 251 inf + 805
137.581 * * [simplify]: Extracting #6: cost 212 inf + 12228
137.593 * * [simplify]: Extracting #7: cost 64 inf + 62995
137.618 * * [simplify]: Extracting #8: cost 13 inf + 85342
137.645 * * [simplify]: Extracting #9: cost 4 inf + 93331
137.695 * * [simplify]: Extracting #10: cost 0 inf + 97275
137.733 * [simplify]: Simplified to (* (/ (* (sqrt (+ 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (cos (/ K 2)) J)) (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)))))) -2)
137.733 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (cos (/ K 2)) J)) (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)))))) -2) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
137.734 * * * * [progress]: [ 51 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
137.734 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
137.735 * * [simplify]: iters left: 6 (35 enodes)
137.756 * * [simplify]: iters left: 5 (175 enodes)
137.825 * * [simplify]: Extracting #0: cost 1 inf + 0
137.825 * * [simplify]: Extracting #1: cost 16 inf + 0
137.826 * * [simplify]: Extracting #2: cost 33 inf + 1
137.826 * * [simplify]: Extracting #3: cost 41 inf + 44
137.826 * * [simplify]: Extracting #4: cost 97 inf + 45
137.827 * * [simplify]: Extracting #5: cost 226 inf + 662
137.831 * * [simplify]: Extracting #6: cost 182 inf + 10755
137.846 * * [simplify]: Extracting #7: cost 53 inf + 52819
137.863 * * [simplify]: Extracting #8: cost 12 inf + 70112
137.896 * * [simplify]: Extracting #9: cost 7 inf + 74198
137.920 * * [simplify]: Extracting #10: cost 0 inf + 80340
137.956 * [simplify]: Simplified to (/ -2 (/ (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) U))) (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J))))
137.956 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ -2 (/ (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) U))) (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
137.957 * * * * [progress]: [ 52 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
137.958 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))
137.958 * * [simplify]: iters left: 6 (39 enodes)
137.973 * * [simplify]: iters left: 5 (194 enodes)
138.020 * * [simplify]: Extracting #0: cost 1 inf + 0
138.020 * * [simplify]: Extracting #1: cost 16 inf + 0
138.020 * * [simplify]: Extracting #2: cost 33 inf + 1
138.020 * * [simplify]: Extracting #3: cost 41 inf + 44
138.021 * * [simplify]: Extracting #4: cost 108 inf + 45
138.024 * * [simplify]: Extracting #5: cost 236 inf + 336
138.025 * * [simplify]: Extracting #6: cost 217 inf + 6893
138.035 * * [simplify]: Extracting #7: cost 74 inf + 54738
138.070 * * [simplify]: Extracting #8: cost 9 inf + 85132
138.098 * * [simplify]: Extracting #9: cost 0 inf + 91683
138.131 * * [simplify]: Extracting #10: cost 0 inf + 91403
138.158 * [simplify]: Simplified to (/ (* (* -2 (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (* (cos (/ K 2)) J)) (sqrt (+ (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) U) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) 2) (* (cos (/ K 2)) J)))))
138.159 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* -2 (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (* (cos (/ K 2)) J)) (sqrt (+ (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) U) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) 2) (* (cos (/ K 2)) J))))) (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
138.159 * * * * [progress]: [ 53 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
138.159 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
138.160 * * [simplify]: iters left: 6 (34 enodes)
138.172 * * [simplify]: iters left: 5 (164 enodes)
138.242 * * [simplify]: Extracting #0: cost 1 inf + 0
138.242 * * [simplify]: Extracting #1: cost 16 inf + 0
138.242 * * [simplify]: Extracting #2: cost 33 inf + 1
138.243 * * [simplify]: Extracting #3: cost 42 inf + 2
138.243 * * [simplify]: Extracting #4: cost 89 inf + 45
138.244 * * [simplify]: Extracting #5: cost 196 inf + 623
138.247 * * [simplify]: Extracting #6: cost 174 inf + 6407
138.255 * * [simplify]: Extracting #7: cost 67 inf + 37935
138.268 * * [simplify]: Extracting #8: cost 14 inf + 58765
138.286 * * [simplify]: Extracting #9: cost 4 inf + 66139
138.313 * * [simplify]: Extracting #10: cost 0 inf + 69403
138.348 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (+ (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) U) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* 2 (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))
138.348 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (+ (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) U) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* 2 (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))) (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
138.349 * * * * [progress]: [ 54 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
138.350 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))
138.350 * * [simplify]: iters left: 6 (39 enodes)
138.365 * * [simplify]: iters left: 5 (194 enodes)
138.431 * * [simplify]: Extracting #0: cost 1 inf + 0
138.431 * * [simplify]: Extracting #1: cost 16 inf + 0
138.432 * * [simplify]: Extracting #2: cost 33 inf + 1
138.432 * * [simplify]: Extracting #3: cost 41 inf + 44
138.432 * * [simplify]: Extracting #4: cost 102 inf + 45
138.433 * * [simplify]: Extracting #5: cost 229 inf + 335
138.434 * * [simplify]: Extracting #6: cost 203 inf + 8354
138.446 * * [simplify]: Extracting #7: cost 74 inf + 51198
138.485 * * [simplify]: Extracting #8: cost 9 inf + 80797
138.529 * * [simplify]: Extracting #9: cost 0 inf + 87748
138.562 * [simplify]: Simplified to (/ (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (/ (sqrt (+ (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) U)) (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* 2 (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) -2)))
138.562 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (/ (sqrt (+ (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) U)) (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* 2 (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) -2))) (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
138.563 * * * * [progress]: [ 55 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
138.564 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
138.564 * * [simplify]: iters left: 6 (34 enodes)
138.581 * * [simplify]: iters left: 5 (164 enodes)
138.641 * * [simplify]: Extracting #0: cost 1 inf + 0
138.641 * * [simplify]: Extracting #1: cost 16 inf + 0
138.641 * * [simplify]: Extracting #2: cost 33 inf + 1
138.641 * * [simplify]: Extracting #3: cost 41 inf + 44
138.642 * * [simplify]: Extracting #4: cost 87 inf + 45
138.643 * * [simplify]: Extracting #5: cost 198 inf + 907
138.646 * * [simplify]: Extracting #6: cost 177 inf + 5937
138.660 * * [simplify]: Extracting #7: cost 73 inf + 37615
138.690 * * [simplify]: Extracting #8: cost 14 inf + 60352
138.707 * * [simplify]: Extracting #9: cost 7 inf + 65729
138.731 * * [simplify]: Extracting #10: cost 0 inf + 71230
138.750 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) (* J -2))) (sqrt (+ (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* 2 (cos (/ K 2))) (* J (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))))
138.750 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) (* J -2))) (sqrt (+ (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* 2 (cos (/ K 2))) (* J (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))) (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
138.751 * * * * [progress]: [ 56 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
138.752 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))
138.752 * * [simplify]: iters left: 6 (40 enodes)
138.778 * * [simplify]: iters left: 5 (205 enodes)
138.851 * * [simplify]: Extracting #0: cost 1 inf + 0
138.851 * * [simplify]: Extracting #1: cost 16 inf + 0
138.851 * * [simplify]: Extracting #2: cost 33 inf + 1
138.852 * * [simplify]: Extracting #3: cost 41 inf + 44
138.852 * * [simplify]: Extracting #4: cost 110 inf + 45
138.853 * * [simplify]: Extracting #5: cost 252 inf + 520
138.854 * * [simplify]: Extracting #6: cost 243 inf + 4015
138.863 * * [simplify]: Extracting #7: cost 93 inf + 50015
138.894 * * [simplify]: Extracting #8: cost 20 inf + 80580
138.944 * * [simplify]: Extracting #9: cost 6 inf + 90733
138.997 * * [simplify]: Extracting #10: cost 0 inf + 96848
139.051 * [simplify]: Simplified to (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (+ (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) (* U (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) (* U (/ (/ U (cos (/ K 2))) (* 2 J)))))))) -2) (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))
139.051 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (+ (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) (* U (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) (* U (/ (/ U (cos (/ K 2))) (* 2 J)))))))) -2) (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
139.053 * * * * [progress]: [ 57 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
139.053 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
139.054 * * [simplify]: iters left: 6 (35 enodes)
139.070 * * [simplify]: iters left: 5 (175 enodes)
139.133 * * [simplify]: Extracting #0: cost 1 inf + 0
139.133 * * [simplify]: Extracting #1: cost 16 inf + 0
139.133 * * [simplify]: Extracting #2: cost 33 inf + 1
139.133 * * [simplify]: Extracting #3: cost 41 inf + 44
139.133 * * [simplify]: Extracting #4: cost 95 inf + 45
139.134 * * [simplify]: Extracting #5: cost 222 inf + 519
139.135 * * [simplify]: Extracting #6: cost 181 inf + 9619
139.145 * * [simplify]: Extracting #7: cost 48 inf + 52260
139.172 * * [simplify]: Extracting #8: cost 9 inf + 70065
139.193 * * [simplify]: Extracting #9: cost 0 inf + 77018
139.221 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (* (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* U U))))) -2)
139.221 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (* (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* U U))))) -2) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
139.222 * * * * [progress]: [ 58 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
139.222 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))
139.223 * * [simplify]: iters left: 6 (39 enodes)
139.248 * * [simplify]: iters left: 5 (194 enodes)
139.345 * * [simplify]: Extracting #0: cost 1 inf + 0
139.345 * * [simplify]: Extracting #1: cost 16 inf + 0
139.345 * * [simplify]: Extracting #2: cost 33 inf + 1
139.345 * * [simplify]: Extracting #3: cost 41 inf + 44
139.346 * * [simplify]: Extracting #4: cost 104 inf + 45
139.347 * * [simplify]: Extracting #5: cost 219 inf + 378
139.354 * * [simplify]: Extracting #6: cost 201 inf + 6634
139.367 * * [simplify]: Extracting #7: cost 85 inf + 43240
139.395 * * [simplify]: Extracting #8: cost 9 inf + 78176
139.446 * * [simplify]: Extracting #9: cost 0 inf + 84365
139.486 * [simplify]: Simplified to (* (/ (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* 2 (* (cos (/ K 2)) J)))))) -2)
139.486 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* 2 (* (cos (/ K 2)) J)))))) -2) (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
139.486 * * * * [progress]: [ 59 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
139.487 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
139.487 * * [simplify]: iters left: 6 (34 enodes)
139.498 * * [simplify]: iters left: 5 (164 enodes)
139.559 * * [simplify]: Extracting #0: cost 1 inf + 0
139.559 * * [simplify]: Extracting #1: cost 16 inf + 0
139.559 * * [simplify]: Extracting #2: cost 33 inf + 1
139.559 * * [simplify]: Extracting #3: cost 41 inf + 44
139.559 * * [simplify]: Extracting #4: cost 88 inf + 45
139.560 * * [simplify]: Extracting #5: cost 187 inf + 766
139.561 * * [simplify]: Extracting #6: cost 163 inf + 6858
139.569 * * [simplify]: Extracting #7: cost 62 inf + 36601
139.581 * * [simplify]: Extracting #8: cost 14 inf + 55737
139.600 * * [simplify]: Extracting #9: cost 3 inf + 63698
139.623 * * [simplify]: Extracting #10: cost 0 inf + 65855
139.649 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))
139.649 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))) (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
139.650 * * * * [progress]: [ 60 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
139.651 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))
139.651 * * [simplify]: iters left: 6 (39 enodes)
139.676 * * [simplify]: iters left: 5 (194 enodes)
139.746 * * [simplify]: Extracting #0: cost 1 inf + 0
139.746 * * [simplify]: Extracting #1: cost 16 inf + 0
139.746 * * [simplify]: Extracting #2: cost 33 inf + 1
139.747 * * [simplify]: Extracting #3: cost 41 inf + 44
139.747 * * [simplify]: Extracting #4: cost 108 inf + 45
139.752 * * [simplify]: Extracting #5: cost 225 inf + 521
139.755 * * [simplify]: Extracting #6: cost 202 inf + 7790
139.772 * * [simplify]: Extracting #7: cost 87 inf + 44511
139.813 * * [simplify]: Extracting #8: cost 8 inf + 80864
139.864 * * [simplify]: Extracting #9: cost 0 inf + 87024
139.915 * * [simplify]: Extracting #10: cost 0 inf + 87022
139.967 * [simplify]: Simplified to (/ (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (/ (sqrt (+ (* (+ 1 (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) U)) (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* 2 (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) -2)))
139.967 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (/ (sqrt (+ (* (+ 1 (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) U)) (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* 2 (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) -2))) (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
139.968 * * * * [progress]: [ 61 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
139.968 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
139.969 * * [simplify]: iters left: 6 (34 enodes)
139.993 * * [simplify]: iters left: 5 (164 enodes)
140.067 * * [simplify]: Extracting #0: cost 1 inf + 0
140.067 * * [simplify]: Extracting #1: cost 16 inf + 0
140.067 * * [simplify]: Extracting #2: cost 33 inf + 1
140.067 * * [simplify]: Extracting #3: cost 41 inf + 44
140.067 * * [simplify]: Extracting #4: cost 91 inf + 45
140.068 * * [simplify]: Extracting #5: cost 192 inf + 480
140.069 * * [simplify]: Extracting #6: cost 169 inf + 6123
140.077 * * [simplify]: Extracting #7: cost 54 inf + 41108
140.090 * * [simplify]: Extracting #8: cost 18 inf + 55914
140.109 * * [simplify]: Extracting #9: cost 3 inf + 65973
140.136 * * [simplify]: Extracting #10: cost 0 inf + 68170
140.154 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 J) (cos (/ K 2)))))))
140.154 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 J) (cos (/ K 2))))))) (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
140.155 * * * * [progress]: [ 62 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3)))) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
140.155 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3))))
140.155 * * [simplify]: iters left: 6 (31 enodes)
140.166 * * [simplify]: iters left: 5 (145 enodes)
140.221 * * [simplify]: iters left: 4 (470 enodes)
140.860 * * [simplify]: Extracting #0: cost 1 inf + 0
140.860 * * [simplify]: Extracting #1: cost 27 inf + 0
140.860 * * [simplify]: Extracting #2: cost 53 inf + 2
140.861 * * [simplify]: Extracting #3: cost 64 inf + 44
140.861 * * [simplify]: Extracting #4: cost 224 inf + 519
140.864 * * [simplify]: Extracting #5: cost 689 inf + 1939
140.872 * * [simplify]: Extracting #6: cost 723 inf + 37047
140.961 * * [simplify]: Extracting #7: cost 216 inf + 220011
141.070 * * [simplify]: Extracting #8: cost 31 inf + 291655
141.196 * * [simplify]: Extracting #9: cost 8 inf + 306509
141.318 * * [simplify]: Extracting #10: cost 0 inf + 312436
141.431 * [simplify]: Simplified to (/ (* (* (cos (/ K 2)) J) (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) -2)) (sqrt (+ (* (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))
141.431 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (cos (/ K 2)) J) (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) -2)) (sqrt (+ (* (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
141.432 * * * * [progress]: [ 63 / 194 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
141.432 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
141.433 * * [simplify]: iters left: 6 (30 enodes)
141.449 * * [simplify]: iters left: 5 (146 enodes)
141.517 * * [simplify]: iters left: 4 (444 enodes)
142.103 * * [simplify]: Extracting #0: cost 1 inf + 0
142.103 * * [simplify]: Extracting #1: cost 27 inf + 0
142.103 * * [simplify]: Extracting #2: cost 53 inf + 2
142.103 * * [simplify]: Extracting #3: cost 83 inf + 44
142.104 * * [simplify]: Extracting #4: cost 306 inf + 703
142.112 * * [simplify]: Extracting #5: cost 731 inf + 2011
142.119 * * [simplify]: Extracting #6: cost 792 inf + 15837
142.183 * * [simplify]: Extracting #7: cost 264 inf + 207500
142.264 * * [simplify]: Extracting #8: cost 42 inf + 286458
142.406 * * [simplify]: Extracting #9: cost 14 inf + 297363
142.551 * * [simplify]: Extracting #10: cost 0 inf + 305475
142.685 * [simplify]: Simplified to (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1))) (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))))
142.685 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1))) (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))) (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
142.686 * * * * [progress]: [ 64 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ (pow 1 3) (pow (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) 3))) (* (cos (/ K 2)) J)) -2) (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (sqrt (+ (* 1 1) (- (* (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))))))>
142.687 * [simplify]: Simplifying (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (sqrt (+ (* 1 1) (- (* (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))))
142.687 * * [simplify]: iters left: 6 (28 enodes)
142.705 * * [simplify]: iters left: 5 (131 enodes)
142.751 * * [simplify]: iters left: 4 (442 enodes)
143.429 * * [simplify]: Extracting #0: cost 1 inf + 0
143.430 * * [simplify]: Extracting #1: cost 4 inf + 0
143.430 * * [simplify]: Extracting #2: cost 8 inf + 0
143.430 * * [simplify]: Extracting #3: cost 26 inf + 0
143.431 * * [simplify]: Extracting #4: cost 490 inf + 1
143.439 * * [simplify]: Extracting #5: cost 940 inf + 1513
143.443 * * [simplify]: Extracting #6: cost 909 inf + 5230
143.451 * * [simplify]: Extracting #7: cost 903 inf + 5773
143.469 * * [simplify]: Extracting #8: cost 672 inf + 84752
143.543 * * [simplify]: Extracting #9: cost 102 inf + 333184
143.697 * * [simplify]: Extracting #10: cost 1 inf + 358639
143.834 * * [simplify]: Extracting #11: cost 0 inf + 352335
143.990 * * [simplify]: Extracting #12: cost 0 inf + 352205
144.150 * [simplify]: Simplified to (* (sqrt (- (* (* (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) (+ (* (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (/ (/ (/ U J) 2) (cos (/ K 2))))) -1))) (sqrt (+ (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))))
144.150 * [simplify]: Simplified (2 2) to (λ (J K U) (/ (* (* (sqrt (+ (pow 1 3) (pow (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) 3))) (* (cos (/ K 2)) J)) -2) (* (sqrt (- (* (* (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) (+ (* (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (/ (/ (/ U J) 2) (cos (/ K 2))))) -1))) (sqrt (+ (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))))))
144.151 * * * * [progress]: [ 65 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (- (* 1 1) (* (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (sqrt (- 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))))>
144.151 * [simplify]: Simplifying (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (sqrt (- 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))
144.151 * * [simplify]: iters left: 6 (25 enodes)
144.159 * * [simplify]: iters left: 5 (109 enodes)
144.182 * * [simplify]: iters left: 4 (337 enodes)
144.619 * * [simplify]: Extracting #0: cost 1 inf + 0
144.619 * * [simplify]: Extracting #1: cost 4 inf + 0
144.619 * * [simplify]: Extracting #2: cost 8 inf + 0
144.619 * * [simplify]: Extracting #3: cost 20 inf + 0
144.620 * * [simplify]: Extracting #4: cost 389 inf + 1
144.623 * * [simplify]: Extracting #5: cost 694 inf + 718
144.626 * * [simplify]: Extracting #6: cost 649 inf + 5359
144.639 * * [simplify]: Extracting #7: cost 438 inf + 74310
144.727 * * [simplify]: Extracting #8: cost 37 inf + 221817
144.834 * * [simplify]: Extracting #9: cost 0 inf + 232448
144.946 * * [simplify]: Extracting #10: cost 0 inf + 232214
145.030 * [simplify]: Simplified to (* (sqrt (+ (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (- 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (sqrt (- 1 (* (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))))
145.030 * [simplify]: Simplified (2 2) to (λ (J K U) (/ (* (* (sqrt (- (* 1 1) (* (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (+ (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (- 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (sqrt (- 1 (* (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))))))
145.031 * * * * [progress]: [ 66 / 194 ] simplifiying candidate #<alt (λ (J K U) (posit16->real (real->posit16 (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
145.031 * [simplify]: Simplifying (real->posit16 (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
145.032 * * [simplify]: iters left: 6 (29 enodes)
145.049 * * [simplify]: iters left: 5 (125 enodes)
145.103 * * [simplify]: iters left: 4 (394 enodes)
145.616 * * [simplify]: Extracting #0: cost 1 inf + 0
145.616 * * [simplify]: Extracting #1: cost 2 inf + 0
145.616 * * [simplify]: Extracting #2: cost 27 inf + 0
145.616 * * [simplify]: Extracting #3: cost 53 inf + 2
145.617 * * [simplify]: Extracting #4: cost 69 inf + 44
145.619 * * [simplify]: Extracting #5: cost 401 inf + 806
145.628 * * [simplify]: Extracting #6: cost 630 inf + 22429
145.674 * * [simplify]: Extracting #7: cost 141 inf + 179258
145.758 * * [simplify]: Extracting #8: cost 1 inf + 236140
145.819 * * [simplify]: Extracting #9: cost 0 inf + 235997
145.893 * [simplify]: Simplified to (real->posit16 (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (- 1 (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) (- 1 (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)))))) -2) (sqrt (+ (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J))) (* (/ (/ (/ U (cos (/ K 2))) 2) J) (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)))) 1)))))
145.893 * [simplify]: Simplified (2 1) to (λ (J K U) (posit16->real (real->posit16 (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (- 1 (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)) (- 1 (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)))))) -2) (sqrt (+ (* (* (/ (/ (/ U (cos (/ K 2))) 2) J) (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J))) (* (/ (/ (/ U (cos (/ K 2))) 2) J) (* (/ (/ (/ U (cos (/ K 2))) 2) J) (/ (/ (/ U (cos (/ K 2))) 2) J)))) 1)))))))
145.894 * * * * [progress]: [ 67 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (log (* (exp (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (/ (exp (* 1 1)) (exp (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
145.894 * [simplify]: Simplifying (* (exp (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (/ (exp (* 1 1)) (exp (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
145.894 * * [simplify]: iters left: 6 (19 enodes)
145.905 * * [simplify]: iters left: 5 (77 enodes)
145.932 * * [simplify]: iters left: 4 (179 enodes)
146.059 * * [simplify]: Extracting #0: cost 1 inf + 0
146.059 * * [simplify]: Extracting #1: cost 12 inf + 0
146.059 * * [simplify]: Extracting #2: cost 34 inf + 1
146.059 * * [simplify]: Extracting #3: cost 194 inf + 2
146.060 * * [simplify]: Extracting #4: cost 306 inf + 834
146.062 * * [simplify]: Extracting #5: cost 283 inf + 2691
146.066 * * [simplify]: Extracting #6: cost 217 inf + 19236
146.081 * * [simplify]: Extracting #7: cost 38 inf + 76265
146.101 * * [simplify]: Extracting #8: cost 1 inf + 88284
146.122 * * [simplify]: Extracting #9: cost 0 inf + 88699
146.164 * [simplify]: Simplified to (exp (+ (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
146.164 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (log (exp (+ (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))
146.165 * * * * [progress]: [ 68 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (log (* (exp (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (exp (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
146.166 * [simplify]: Simplifying (* (exp (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (exp (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
146.166 * * [simplify]: iters left: 6 (18 enodes)
146.172 * * [simplify]: iters left: 5 (75 enodes)
146.187 * * [simplify]: iters left: 4 (201 enodes)
146.340 * * [simplify]: Extracting #0: cost 1 inf + 0
146.340 * * [simplify]: Extracting #1: cost 12 inf + 0
146.340 * * [simplify]: Extracting #2: cost 49 inf + 1
146.341 * * [simplify]: Extracting #3: cost 246 inf + 3
146.344 * * [simplify]: Extracting #4: cost 357 inf + 1266
146.352 * * [simplify]: Extracting #5: cost 336 inf + 3240
146.361 * * [simplify]: Extracting #6: cost 197 inf + 43099
146.400 * * [simplify]: Extracting #7: cost 15 inf + 103043
146.431 * * [simplify]: Extracting #8: cost 0 inf + 108115
146.461 * [simplify]: Simplified to (exp (+ (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
146.461 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (log (exp (+ (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))
146.462 * * * * [progress]: [ 69 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (pow (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 1))))>
146.462 * * * * [progress]: [ 70 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (exp (log (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
146.462 * [simplify]: Simplifying (log (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
146.462 * * [simplify]: iters left: 6 (17 enodes)
146.471 * * [simplify]: iters left: 5 (66 enodes)
146.487 * * [simplify]: iters left: 4 (168 enodes)
146.563 * * [simplify]: Extracting #0: cost 1 inf + 0
146.563 * * [simplify]: Extracting #1: cost 3 inf + 0
146.563 * * [simplify]: Extracting #2: cost 12 inf + 0
146.563 * * [simplify]: Extracting #3: cost 186 inf + 1
146.564 * * [simplify]: Extracting #4: cost 310 inf + 544
146.566 * * [simplify]: Extracting #5: cost 287 inf + 2359
146.569 * * [simplify]: Extracting #6: cost 218 inf + 18238
146.587 * * [simplify]: Extracting #7: cost 31 inf + 76718
146.623 * * [simplify]: Extracting #8: cost 0 inf + 87626
146.659 * * [simplify]: Extracting #9: cost 0 inf + 87470
146.692 * [simplify]: Simplified to (log (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
146.692 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (exp (log (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))
146.692 * * * * [progress]: [ 71 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (log (exp (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
146.693 * [simplify]: Simplifying (exp (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
146.693 * * [simplify]: iters left: 6 (17 enodes)
146.698 * * [simplify]: iters left: 5 (69 enodes)
146.711 * * [simplify]: iters left: 4 (183 enodes)
146.814 * * [simplify]: Extracting #0: cost 1 inf + 0
146.814 * * [simplify]: Extracting #1: cost 12 inf + 0
146.815 * * [simplify]: Extracting #2: cost 46 inf + 1
146.816 * * [simplify]: Extracting #3: cost 250 inf + 3
146.820 * * [simplify]: Extracting #4: cost 323 inf + 712
146.821 * * [simplify]: Extracting #5: cost 298 inf + 3129
146.825 * * [simplify]: Extracting #6: cost 232 inf + 19796
146.841 * * [simplify]: Extracting #7: cost 26 inf + 85058
146.872 * * [simplify]: Extracting #8: cost 0 inf + 94928
146.911 * [simplify]: Simplified to (exp (- 1 (- (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))
146.911 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (log (exp (- 1 (- (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))))))
146.911 * * * * [progress]: [ 72 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (* (* (cbrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (cbrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
146.911 * [simplify]: Simplifying (* (cbrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
146.912 * * [simplify]: iters left: 6 (18 enodes)
146.917 * * [simplify]: iters left: 5 (69 enodes)
146.933 * * [simplify]: iters left: 4 (169 enodes)
147.060 * * [simplify]: Extracting #0: cost 1 inf + 0
147.060 * * [simplify]: Extracting #1: cost 3 inf + 0
147.060 * * [simplify]: Extracting #2: cost 5 inf + 0
147.060 * * [simplify]: Extracting #3: cost 14 inf + 0
147.060 * * [simplify]: Extracting #4: cost 180 inf + 1
147.061 * * [simplify]: Extracting #5: cost 310 inf + 172
147.063 * * [simplify]: Extracting #6: cost 287 inf + 1782
147.071 * * [simplify]: Extracting #7: cost 203 inf + 22865
147.091 * * [simplify]: Extracting #8: cost 20 inf + 80441
147.113 * * [simplify]: Extracting #9: cost 1 inf + 86708
147.148 * * [simplify]: Extracting #10: cost 0 inf + 87053
147.167 * [simplify]: Simplified to (* (cbrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (cbrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))
147.167 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (* (* (cbrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (cbrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (cbrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
147.168 * [simplify]: Simplifying (cbrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
147.168 * * [simplify]: iters left: 6 (17 enodes)
147.173 * * [simplify]: iters left: 5 (66 enodes)
147.192 * * [simplify]: iters left: 4 (168 enodes)
147.313 * * [simplify]: Extracting #0: cost 1 inf + 0
147.313 * * [simplify]: Extracting #1: cost 3 inf + 0
147.313 * * [simplify]: Extracting #2: cost 12 inf + 0
147.314 * * [simplify]: Extracting #3: cost 186 inf + 1
147.316 * * [simplify]: Extracting #4: cost 310 inf + 544
147.319 * * [simplify]: Extracting #5: cost 287 inf + 2359
147.326 * * [simplify]: Extracting #6: cost 218 inf + 18238
147.349 * * [simplify]: Extracting #7: cost 31 inf + 76728
147.368 * * [simplify]: Extracting #8: cost 0 inf + 87646
147.400 * * [simplify]: Extracting #9: cost 0 inf + 87490
147.421 * [simplify]: Simplified to (cbrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
147.421 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (* (* (cbrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (cbrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))
147.422 * * * * [progress]: [ 73 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (cbrt (* (* (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
147.422 * [simplify]: Simplifying (* (* (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
147.422 * * [simplify]: iters left: 6 (18 enodes)
147.428 * * [simplify]: iters left: 5 (82 enodes)
147.450 * * [simplify]: iters left: 4 (274 enodes)
147.695 * * [simplify]: Extracting #0: cost 1 inf + 0
147.695 * * [simplify]: Extracting #1: cost 18 inf + 0
147.696 * * [simplify]: Extracting #2: cost 187 inf + 1
147.699 * * [simplify]: Extracting #3: cost 524 inf + 5
147.703 * * [simplify]: Extracting #4: cost 577 inf + 798
147.709 * * [simplify]: Extracting #5: cost 556 inf + 3017
147.724 * * [simplify]: Extracting #6: cost 415 inf + 44635
147.760 * * [simplify]: Extracting #7: cost 160 inf + 145619
147.843 * * [simplify]: Extracting #8: cost 5 inf + 221907
147.945 * * [simplify]: Extracting #9: cost 0 inf + 224564
148.060 * * [simplify]: Extracting #10: cost 0 inf + 224563
148.147 * [simplify]: Simplified to (* (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))
148.147 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (cbrt (* (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))))))
148.148 * * * * [progress]: [ 74 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
148.148 * [simplify]: Simplifying (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
148.148 * * [simplify]: iters left: 6 (17 enodes)
148.153 * * [simplify]: iters left: 5 (66 enodes)
148.167 * * [simplify]: iters left: 4 (168 enodes)
148.294 * * [simplify]: Extracting #0: cost 1 inf + 0
148.294 * * [simplify]: Extracting #1: cost 3 inf + 0
148.294 * * [simplify]: Extracting #2: cost 12 inf + 0
148.295 * * [simplify]: Extracting #3: cost 186 inf + 1
148.296 * * [simplify]: Extracting #4: cost 310 inf + 544
148.298 * * [simplify]: Extracting #5: cost 287 inf + 2359
148.303 * * [simplify]: Extracting #6: cost 218 inf + 18238
148.332 * * [simplify]: Extracting #7: cost 31 inf + 76688
148.372 * * [simplify]: Extracting #8: cost 0 inf + 87566
148.415 * * [simplify]: Extracting #9: cost 0 inf + 87410
148.435 * [simplify]: Simplified to (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
148.435 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
148.435 * [simplify]: Simplifying (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
148.436 * * [simplify]: iters left: 6 (17 enodes)
148.441 * * [simplify]: iters left: 5 (66 enodes)
148.462 * * [simplify]: iters left: 4 (168 enodes)
148.588 * * [simplify]: Extracting #0: cost 1 inf + 0
148.588 * * [simplify]: Extracting #1: cost 3 inf + 0
148.588 * * [simplify]: Extracting #2: cost 12 inf + 0
148.589 * * [simplify]: Extracting #3: cost 186 inf + 1
148.591 * * [simplify]: Extracting #4: cost 310 inf + 544
148.594 * * [simplify]: Extracting #5: cost 287 inf + 2359
148.606 * * [simplify]: Extracting #6: cost 218 inf + 18238
148.634 * * [simplify]: Extracting #7: cost 31 inf + 76688
148.672 * * [simplify]: Extracting #8: cost 0 inf + 87566
148.711 * * [simplify]: Extracting #9: cost 0 inf + 87410
148.748 * [simplify]: Simplified to (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
148.749 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))
148.749 * * * * [progress]: [ 75 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))>
148.750 * [simplify]: Simplifying (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))
148.750 * * [simplify]: iters left: 6 (29 enodes)
148.770 * * [simplify]: iters left: 5 (150 enodes)
148.823 * * [simplify]: iters left: 4 (470 enodes)
149.269 * * [simplify]: Extracting #0: cost 1 inf + 0
149.270 * * [simplify]: Extracting #1: cost 14 inf + 0
149.270 * * [simplify]: Extracting #2: cost 189 inf + 0
149.274 * * [simplify]: Extracting #3: cost 618 inf + 493
149.281 * * [simplify]: Extracting #4: cost 787 inf + 3203
149.289 * * [simplify]: Extracting #5: cost 773 inf + 6440
149.300 * * [simplify]: Extracting #6: cost 724 inf + 20389
149.366 * * [simplify]: Extracting #7: cost 275 inf + 191806
149.454 * * [simplify]: Extracting #8: cost 8 inf + 302684
149.562 * * [simplify]: Extracting #9: cost 0 inf + 298368
149.668 * * [simplify]: Extracting #10: cost 0 inf + 298116
149.777 * [simplify]: Simplified to (+ (* (* U U) (+ (* U U) (* (* U U) (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) (* (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)))))
149.777 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* U U) (+ (* U U) (* (* U U) (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) (* (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
149.778 * [simplify]: Simplifying (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
149.778 * * [simplify]: iters left: 6 (21 enodes)
149.785 * * [simplify]: iters left: 5 (106 enodes)
149.821 * * [simplify]: iters left: 4 (357 enodes)
150.165 * * [simplify]: Extracting #0: cost 1 inf + 0
150.165 * * [simplify]: Extracting #1: cost 85 inf + 0
150.168 * * [simplify]: Extracting #2: cost 520 inf + 4
150.173 * * [simplify]: Extracting #3: cost 754 inf + 914
150.181 * * [simplify]: Extracting #4: cost 770 inf + 2086
150.190 * * [simplify]: Extracting #5: cost 721 inf + 10702
150.236 * * [simplify]: Extracting #6: cost 355 inf + 138801
150.371 * * [simplify]: Extracting #7: cost 21 inf + 284300
150.477 * * [simplify]: Extracting #8: cost 0 inf + 292358
150.642 * * [simplify]: Extracting #9: cost 0 inf + 292353
150.808 * [simplify]: Simplified to (* (+ (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)))
150.808 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))) (* (+ (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)))))))
150.809 * * * * [progress]: [ 76 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
150.810 * [simplify]: Simplifying (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
150.810 * * [simplify]: iters left: 6 (24 enodes)
150.826 * * [simplify]: iters left: 5 (119 enodes)
150.869 * * [simplify]: iters left: 4 (393 enodes)
151.263 * * [simplify]: Extracting #0: cost 1 inf + 0
151.263 * * [simplify]: Extracting #1: cost 10 inf + 0
151.264 * * [simplify]: Extracting #2: cost 164 inf + 0
151.268 * * [simplify]: Extracting #3: cost 581 inf + 290
151.274 * * [simplify]: Extracting #4: cost 659 inf + 5076
151.296 * * [simplify]: Extracting #5: cost 481 inf + 62973
151.343 * * [simplify]: Extracting #6: cost 119 inf + 186508
151.403 * * [simplify]: Extracting #7: cost 6 inf + 233996
151.482 * * [simplify]: Extracting #8: cost 0 inf + 237030
151.568 * [simplify]: Simplified to (+ (* (* U U) (* U U)) (+ (* (/ (* (/ U 2) (* U U)) (* J (cos (/ K 2)))) (/ (* (/ U 2) (* U U)) (* J (cos (/ K 2))))) (* (* (* (* 2 (* J (cos (/ K 2)))) (* 2 (* J (cos (/ K 2))))) (* (* 2 (* J (cos (/ K 2)))) (* 2 (* J (cos (/ K 2)))))) (- 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))))
151.568 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* U U) (* U U)) (+ (* (/ (* (/ U 2) (* U U)) (* J (cos (/ K 2)))) (/ (* (/ U 2) (* U U)) (* J (cos (/ K 2))))) (* (* (* (* 2 (* J (cos (/ K 2)))) (* 2 (* J (cos (/ K 2))))) (* (* 2 (* J (cos (/ K 2)))) (* 2 (* J (cos (/ K 2)))))) (- 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
151.569 * [simplify]: Simplifying (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
151.569 * * [simplify]: iters left: 6 (17 enodes)
151.574 * * [simplify]: iters left: 5 (84 enodes)
151.606 * * [simplify]: iters left: 4 (312 enodes)
151.903 * * [simplify]: Extracting #0: cost 1 inf + 0
151.904 * * [simplify]: Extracting #1: cost 80 inf + 0
151.905 * * [simplify]: Extracting #2: cost 437 inf + 4
151.908 * * [simplify]: Extracting #3: cost 707 inf + 1250
151.926 * * [simplify]: Extracting #4: cost 529 inf + 44118
152.001 * * [simplify]: Extracting #5: cost 86 inf + 195427
152.090 * * [simplify]: Extracting #6: cost 0 inf + 230309
152.168 * [simplify]: Simplified to (+ (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2))) (* (/ (* U (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2)) (/ (* U (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2))))
152.168 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (+ (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2))) (* (/ (* U (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2)) (/ (* U (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2))))))))
152.169 * * * * [progress]: [ 77 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))>
152.169 * [simplify]: Simplifying (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))
152.170 * * [simplify]: iters left: 6 (30 enodes)
152.189 * * [simplify]: iters left: 5 (153 enodes)
152.259 * * [simplify]: iters left: 4 (477 enodes)
152.715 * * [simplify]: Extracting #0: cost 1 inf + 0
152.715 * * [simplify]: Extracting #1: cost 14 inf + 0
152.716 * * [simplify]: Extracting #2: cost 275 inf + 0
152.721 * * [simplify]: Extracting #3: cost 765 inf + 375
152.730 * * [simplify]: Extracting #4: cost 861 inf + 5667
152.740 * * [simplify]: Extracting #5: cost 835 inf + 9397
152.753 * * [simplify]: Extracting #6: cost 782 inf + 22901
152.818 * * [simplify]: Extracting #7: cost 405 inf + 152366
152.947 * * [simplify]: Extracting #8: cost 62 inf + 306621
153.068 * * [simplify]: Extracting #9: cost 0 inf + 338444
153.215 * * [simplify]: Extracting #10: cost 0 inf + 337967
153.341 * [simplify]: Simplified to (+ (* (* U U) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (+ U (* U (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))))))
153.342 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* U U) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (+ U (* U (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
153.342 * [simplify]: Simplifying (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
153.343 * * [simplify]: iters left: 6 (21 enodes)
153.349 * * [simplify]: iters left: 5 (105 enodes)
153.397 * * [simplify]: iters left: 4 (346 enodes)
153.753 * * [simplify]: Extracting #0: cost 1 inf + 0
153.753 * * [simplify]: Extracting #1: cost 71 inf + 0
153.755 * * [simplify]: Extracting #2: cost 427 inf + 4
153.758 * * [simplify]: Extracting #3: cost 651 inf + 920
153.765 * * [simplify]: Extracting #4: cost 531 inf + 38694
153.822 * * [simplify]: Extracting #5: cost 120 inf + 181351
153.910 * * [simplify]: Extracting #6: cost 9 inf + 230640
154.048 * * [simplify]: Extracting #7: cost 0 inf + 234760
154.161 * [simplify]: Simplified to (* (* (cos (/ K 2)) (* J 2)) (+ (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (* (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (+ (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))))))
154.162 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))) (* (* (cos (/ K 2)) (* J 2)) (+ (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (* (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (+ (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))))))))))
154.163 * * * * [progress]: [ 78 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
154.163 * [simplify]: Simplifying (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
154.164 * * [simplify]: iters left: 6 (25 enodes)
154.179 * * [simplify]: iters left: 5 (121 enodes)
154.212 * * [simplify]: iters left: 4 (396 enodes)
154.599 * * [simplify]: Extracting #0: cost 1 inf + 0
154.599 * * [simplify]: Extracting #1: cost 10 inf + 0
154.600 * * [simplify]: Extracting #2: cost 220 inf + 0
154.602 * * [simplify]: Extracting #3: cost 682 inf + 942
154.606 * * [simplify]: Extracting #4: cost 720 inf + 6286
154.611 * * [simplify]: Extracting #5: cost 696 inf + 8873
154.624 * * [simplify]: Extracting #6: cost 609 inf + 33386
154.671 * * [simplify]: Extracting #7: cost 165 inf + 188026
154.796 * * [simplify]: Extracting #8: cost 2 inf + 252074
154.925 * * [simplify]: Extracting #9: cost 0 inf + 252008
155.050 * [simplify]: Simplified to (+ (* (* U (* U U)) (+ (/ (/ U (* J 2)) (cos (/ K 2))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (* (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (* (cos (/ K 2)) (* J 2))) (- 1 (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))))
155.050 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* U (* U U)) (+ (/ (/ U (* J 2)) (cos (/ K 2))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (* (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (* (cos (/ K 2)) (* J 2))) (- 1 (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
155.051 * [simplify]: Simplifying (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
155.052 * * [simplify]: iters left: 6 (17 enodes)
155.062 * * [simplify]: iters left: 5 (83 enodes)
155.101 * * [simplify]: iters left: 4 (293 enodes)
155.372 * * [simplify]: Extracting #0: cost 1 inf + 0
155.372 * * [simplify]: Extracting #1: cost 74 inf + 0
155.374 * * [simplify]: Extracting #2: cost 337 inf + 4
155.378 * * [simplify]: Extracting #3: cost 567 inf + 1004
155.386 * * [simplify]: Extracting #4: cost 469 inf + 27475
155.412 * * [simplify]: Extracting #5: cost 181 inf + 117802
155.469 * * [simplify]: Extracting #6: cost 12 inf + 181096
155.530 * * [simplify]: Extracting #7: cost 0 inf + 182633
155.597 * [simplify]: Simplified to (+ (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (cos (/ K 2)) J) 2)) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (cos (/ K 2)) J) 2))))
155.597 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (+ (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (cos (/ K 2)) J) 2)) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (cos (/ K 2)) J) 2))))))))
155.598 * * * * [progress]: [ 79 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))>
155.598 * [simplify]: Simplifying (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))
155.598 * * [simplify]: iters left: 6 (30 enodes)
155.608 * * [simplify]: iters left: 5 (153 enodes)
155.666 * * [simplify]: iters left: 4 (489 enodes)
156.119 * * [simplify]: Extracting #0: cost 1 inf + 0
156.119 * * [simplify]: Extracting #1: cost 14 inf + 0
156.119 * * [simplify]: Extracting #2: cost 299 inf + 0
156.122 * * [simplify]: Extracting #3: cost 789 inf + 945
156.132 * * [simplify]: Extracting #4: cost 884 inf + 5927
156.138 * * [simplify]: Extracting #5: cost 863 inf + 9519
156.150 * * [simplify]: Extracting #6: cost 804 inf + 24911
156.181 * * [simplify]: Extracting #7: cost 436 inf + 151336
156.307 * * [simplify]: Extracting #8: cost 77 inf + 313321
156.473 * * [simplify]: Extracting #9: cost 1 inf + 350828
156.664 * * [simplify]: Extracting #10: cost 0 inf + 350932
156.858 * [simplify]: Simplified to (+ (* (* (* (+ (* U (+ (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) U) U) U) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (- 1 (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))))))
156.859 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* (+ (* U (+ (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) U) U) U) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (- 1 (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
156.860 * [simplify]: Simplifying (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
156.860 * * [simplify]: iters left: 6 (21 enodes)
156.873 * * [simplify]: iters left: 5 (105 enodes)
156.923 * * [simplify]: iters left: 4 (346 enodes)
157.208 * * [simplify]: Extracting #0: cost 1 inf + 0
157.208 * * [simplify]: Extracting #1: cost 71 inf + 0
157.211 * * [simplify]: Extracting #2: cost 427 inf + 4
157.215 * * [simplify]: Extracting #3: cost 651 inf + 920
157.230 * * [simplify]: Extracting #4: cost 531 inf + 38694
157.315 * * [simplify]: Extracting #5: cost 120 inf + 181351
157.417 * * [simplify]: Extracting #6: cost 9 inf + 230640
157.546 * * [simplify]: Extracting #7: cost 0 inf + 234760
157.668 * [simplify]: Simplified to (* (* (cos (/ K 2)) (* J 2)) (+ (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (* (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (+ (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))))))
157.668 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))) (* (* (cos (/ K 2)) (* J 2)) (+ (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (* (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (+ (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))))))))))
157.669 * * * * [progress]: [ 80 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
157.670 * [simplify]: Simplifying (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
157.670 * * [simplify]: iters left: 6 (25 enodes)
157.688 * * [simplify]: iters left: 5 (121 enodes)
157.742 * * [simplify]: iters left: 4 (401 enodes)
158.105 * * [simplify]: Extracting #0: cost 1 inf + 0
158.105 * * [simplify]: Extracting #1: cost 10 inf + 0
158.105 * * [simplify]: Extracting #2: cost 234 inf + 0
158.108 * * [simplify]: Extracting #3: cost 695 inf + 903
158.114 * * [simplify]: Extracting #4: cost 720 inf + 8054
158.122 * * [simplify]: Extracting #5: cost 706 inf + 8915
158.135 * * [simplify]: Extracting #6: cost 642 inf + 26982
158.176 * * [simplify]: Extracting #7: cost 207 inf + 175405
158.297 * * [simplify]: Extracting #8: cost 0 inf + 254152
158.375 * * [simplify]: Extracting #9: cost 0 inf + 253435
158.479 * [simplify]: Simplified to (+ (* (* U (* U U)) (+ (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* 8 (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)))
158.479 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* U (* U U)) (+ (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* 8 (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
158.480 * [simplify]: Simplifying (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
158.480 * * [simplify]: iters left: 6 (17 enodes)
158.493 * * [simplify]: iters left: 5 (83 enodes)
158.524 * * [simplify]: iters left: 4 (293 enodes)
159.232 * * [simplify]: Extracting #0: cost 1 inf + 0
159.232 * * [simplify]: Extracting #1: cost 74 inf + 0
159.233 * * [simplify]: Extracting #2: cost 337 inf + 4
159.235 * * [simplify]: Extracting #3: cost 567 inf + 1004
159.241 * * [simplify]: Extracting #4: cost 469 inf + 27475
159.287 * * [simplify]: Extracting #5: cost 181 inf + 117802
159.340 * * [simplify]: Extracting #6: cost 12 inf + 181096
159.404 * * [simplify]: Extracting #7: cost 0 inf + 182633
159.491 * [simplify]: Simplified to (+ (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (cos (/ K 2)) J) 2)) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (cos (/ K 2)) J) 2))))
159.491 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (+ (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (cos (/ K 2)) J) 2)) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (cos (/ K 2)) J) 2))))))))
159.492 * * * * [progress]: [ 81 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))>
159.492 * [simplify]: Simplifying (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))
159.493 * * [simplify]: iters left: 6 (30 enodes)
159.511 * * [simplify]: iters left: 5 (154 enodes)
159.565 * * [simplify]: Extracting #0: cost 1 inf + 0
159.565 * * [simplify]: Extracting #1: cost 4 inf + 0
159.565 * * [simplify]: Extracting #2: cost 49 inf + 0
159.565 * * [simplify]: Extracting #3: cost 148 inf + 2
159.566 * * [simplify]: Extracting #4: cost 169 inf + 1478
159.567 * * [simplify]: Extracting #5: cost 165 inf + 1983
159.568 * * [simplify]: Extracting #6: cost 137 inf + 8266
159.577 * * [simplify]: Extracting #7: cost 53 inf + 36636
159.599 * * [simplify]: Extracting #8: cost 8 inf + 56952
159.621 * * [simplify]: Extracting #9: cost 0 inf + 61245
159.636 * * [simplify]: Extracting #10: cost 0 inf + 60379
159.664 * [simplify]: Simplified to (+ (* (* (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1) (* U (/ (/ (/ U 2) J) (cos (/ K 2))))) (* U U)) (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (* (cos (/ K 2)) (* J 2)))))
159.664 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1) (* U (/ (/ (/ U 2) J) (cos (/ K 2))))) (* U U)) (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (* (cos (/ K 2)) (* J 2))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
159.666 * [simplify]: Simplifying (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
159.666 * * [simplify]: iters left: 6 (21 enodes)
159.683 * * [simplify]: iters left: 5 (107 enodes)
159.717 * * [simplify]: iters left: 4 (361 enodes)
160.044 * * [simplify]: Extracting #0: cost 1 inf + 0
160.044 * * [simplify]: Extracting #1: cost 74 inf + 0
160.046 * * [simplify]: Extracting #2: cost 478 inf + 46
160.049 * * [simplify]: Extracting #3: cost 733 inf + 1085
160.053 * * [simplify]: Extracting #4: cost 747 inf + 2580
160.060 * * [simplify]: Extracting #5: cost 693 inf + 12234
160.103 * * [simplify]: Extracting #6: cost 308 inf + 151039
160.202 * * [simplify]: Extracting #7: cost 13 inf + 268085
160.348 * * [simplify]: Extracting #8: cost 0 inf + 273286
160.502 * [simplify]: Simplified to (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) 2)) (* (* (cos (/ K 2)) J) 2)))
160.502 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))) (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) 2)) (* (* (cos (/ K 2)) J) 2)))))))
160.503 * * * * [progress]: [ 82 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
160.503 * [simplify]: Simplifying (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
160.503 * * [simplify]: iters left: 6 (25 enodes)
160.511 * * [simplify]: iters left: 5 (123 enodes)
160.557 * * [simplify]: iters left: 4 (416 enodes)
160.917 * * [simplify]: Extracting #0: cost 1 inf + 0
160.917 * * [simplify]: Extracting #1: cost 10 inf + 0
160.918 * * [simplify]: Extracting #2: cost 230 inf + 0
160.923 * * [simplify]: Extracting #3: cost 693 inf + 742
160.931 * * [simplify]: Extracting #4: cost 736 inf + 7683
160.935 * * [simplify]: Extracting #5: cost 715 inf + 9368
160.955 * * [simplify]: Extracting #6: cost 479 inf + 81278
161.051 * * [simplify]: Extracting #7: cost 68 inf + 226857
161.153 * * [simplify]: Extracting #8: cost 0 inf + 255846
161.286 * * [simplify]: Extracting #9: cost 0 inf + 255803
161.409 * * [simplify]: Extracting #10: cost 0 inf + 255800
161.477 * [simplify]: Simplified to (+ (* (* U (* U U)) (+ (/ (/ U 2) (* (cos (/ K 2)) J)) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* 8 (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))
161.477 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* U (* U U)) (+ (/ (/ U 2) (* (cos (/ K 2)) J)) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* 8 (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
161.478 * [simplify]: Simplifying (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
161.478 * * [simplify]: iters left: 6 (17 enodes)
161.484 * * [simplify]: iters left: 5 (85 enodes)
161.506 * * [simplify]: iters left: 4 (310 enodes)
161.777 * * [simplify]: Extracting #0: cost 1 inf + 0
161.777 * * [simplify]: Extracting #1: cost 57 inf + 0
161.779 * * [simplify]: Extracting #2: cost 348 inf + 45
161.784 * * [simplify]: Extracting #3: cost 622 inf + 1323
161.798 * * [simplify]: Extracting #4: cost 482 inf + 37859
161.835 * * [simplify]: Extracting #5: cost 128 inf + 152597
161.901 * * [simplify]: Extracting #6: cost 1 inf + 199795
161.966 * * [simplify]: Extracting #7: cost 0 inf + 200214
162.061 * [simplify]: Simplified to (* (+ (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (/ (* (/ U (/ (* (cos (/ K 2)) (* J 2)) U)) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2)))) (* (cos (/ K 2)) (* J 2)))) (* (cos (/ K 2)) (* J 2)))
162.061 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (+ (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (/ (* (/ U (/ (* (cos (/ K 2)) (* J 2)) U)) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2)))) (* (cos (/ K 2)) (* J 2)))) (* (cos (/ K 2)) (* J 2)))))))
162.062 * * * * [progress]: [ 83 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))>
162.063 * [simplify]: Simplifying (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))
162.063 * * [simplify]: iters left: 6 (28 enodes)
162.081 * * [simplify]: iters left: 5 (145 enodes)
162.121 * * [simplify]: iters left: 4 (461 enodes)
162.689 * * [simplify]: Extracting #0: cost 1 inf + 0
162.689 * * [simplify]: Extracting #1: cost 10 inf + 0
162.689 * * [simplify]: Extracting #2: cost 270 inf + 0
162.692 * * [simplify]: Extracting #3: cost 756 inf + 459
162.701 * * [simplify]: Extracting #4: cost 870 inf + 5664
162.711 * * [simplify]: Extracting #5: cost 854 inf + 8538
162.736 * * [simplify]: Extracting #6: cost 657 inf + 69880
162.829 * * [simplify]: Extracting #7: cost 182 inf + 269588
162.980 * * [simplify]: Extracting #8: cost 1 inf + 350476
163.153 * * [simplify]: Extracting #9: cost 0 inf + 348367
163.334 * [simplify]: Simplified to (+ (* (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* U (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (+ U (* U (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))))
163.335 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* U (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (+ U (* U (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
163.336 * [simplify]: Simplifying (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
163.336 * * [simplify]: iters left: 6 (20 enodes)
163.348 * * [simplify]: iters left: 5 (100 enodes)
163.398 * * [simplify]: iters left: 4 (315 enodes)
163.663 * * [simplify]: Extracting #0: cost 1 inf + 0
163.663 * * [simplify]: Extracting #1: cost 66 inf + 0
163.664 * * [simplify]: Extracting #2: cost 348 inf + 87
163.666 * * [simplify]: Extracting #3: cost 561 inf + 1242
163.673 * * [simplify]: Extracting #4: cost 464 inf + 36122
163.713 * * [simplify]: Extracting #5: cost 118 inf + 154095
163.797 * * [simplify]: Extracting #6: cost 4 inf + 200265
163.915 * * [simplify]: Extracting #7: cost 0 inf + 201595
164.034 * [simplify]: Simplified to (* (* (* J 2) (cos (/ K 2))) (+ (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))))
164.034 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))) (* (* (* J 2) (cos (/ K 2))) (+ (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))))))))
164.035 * * * * [progress]: [ 84 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
164.036 * [simplify]: Simplifying (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
164.036 * * [simplify]: iters left: 6 (23 enodes)
164.050 * * [simplify]: iters left: 5 (114 enodes)
164.089 * * [simplify]: iters left: 4 (381 enodes)
164.500 * * [simplify]: Extracting #0: cost 1 inf + 0
164.500 * * [simplify]: Extracting #1: cost 10 inf + 0
164.501 * * [simplify]: Extracting #2: cost 266 inf + 0
164.506 * * [simplify]: Extracting #3: cost 711 inf + 373
164.515 * * [simplify]: Extracting #4: cost 705 inf + 6738
164.523 * * [simplify]: Extracting #5: cost 695 inf + 7436
164.563 * * [simplify]: Extracting #6: cost 424 inf + 93882
164.624 * * [simplify]: Extracting #7: cost 58 inf + 229214
164.716 * * [simplify]: Extracting #8: cost 0 inf + 255152
164.839 * [simplify]: Simplified to (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (* (* U (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (+ U (* U (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))
164.839 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (* (* U (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (+ U (* U (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
164.840 * [simplify]: Simplifying (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
164.841 * * [simplify]: iters left: 6 (16 enodes)
164.850 * * [simplify]: iters left: 5 (76 enodes)
164.886 * * [simplify]: iters left: 4 (259 enodes)
165.094 * * [simplify]: Extracting #0: cost 1 inf + 0
165.094 * * [simplify]: Extracting #1: cost 57 inf + 0
165.095 * * [simplify]: Extracting #2: cost 239 inf + 4
165.104 * * [simplify]: Extracting #3: cost 464 inf + 1159
165.119 * * [simplify]: Extracting #4: cost 296 inf + 44008
165.158 * * [simplify]: Extracting #5: cost 52 inf + 118241
165.212 * * [simplify]: Extracting #6: cost 0 inf + 134791
165.276 * [simplify]: Simplified to (+ (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)))
165.276 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (+ (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)))))))
165.276 * * * * [progress]: [ 85 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))>
165.276 * [simplify]: Simplifying (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))
165.277 * * [simplify]: iters left: 6 (29 enodes)
165.286 * * [simplify]: iters left: 5 (145 enodes)
165.322 * * [simplify]: iters left: 4 (454 enodes)
165.769 * * [simplify]: Extracting #0: cost 1 inf + 0
165.769 * * [simplify]: Extracting #1: cost 14 inf + 0
165.770 * * [simplify]: Extracting #2: cost 344 inf + 0
165.772 * * [simplify]: Extracting #3: cost 844 inf + 621
165.788 * * [simplify]: Extracting #4: cost 884 inf + 5713
165.794 * * [simplify]: Extracting #5: cost 864 inf + 9002
165.809 * * [simplify]: Extracting #6: cost 659 inf + 74023
165.919 * * [simplify]: Extracting #7: cost 103 inf + 304356
166.072 * * [simplify]: Extracting #8: cost 2 inf + 353956
166.219 * * [simplify]: Extracting #9: cost 0 inf + 354294
166.387 * [simplify]: Simplified to (+ (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (+ (* U U) (* (+ (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* U U)))) (* (- 1 (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))))
166.387 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (+ (* U U) (* (+ (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* U U)))) (* (- 1 (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
166.388 * [simplify]: Simplifying (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
166.389 * * [simplify]: iters left: 6 (20 enodes)
166.401 * * [simplify]: iters left: 5 (100 enodes)
166.447 * * [simplify]: iters left: 4 (315 enodes)
166.772 * * [simplify]: Extracting #0: cost 1 inf + 0
166.772 * * [simplify]: Extracting #1: cost 66 inf + 0
166.774 * * [simplify]: Extracting #2: cost 348 inf + 87
166.778 * * [simplify]: Extracting #3: cost 561 inf + 1242
166.792 * * [simplify]: Extracting #4: cost 464 inf + 36122
166.839 * * [simplify]: Extracting #5: cost 118 inf + 154095
166.934 * * [simplify]: Extracting #6: cost 4 inf + 200265
167.034 * * [simplify]: Extracting #7: cost 0 inf + 201595
167.118 * [simplify]: Simplified to (* (* (* J 2) (cos (/ K 2))) (+ (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))))
167.118 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (+ (* U U) (* (+ (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* U U)))) (* (- 1 (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))))) (* (* (* J 2) (cos (/ K 2))) (+ (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))))))))
167.119 * * * * [progress]: [ 86 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
167.119 * [simplify]: Simplifying (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
167.120 * * [simplify]: iters left: 6 (24 enodes)
167.127 * * [simplify]: iters left: 5 (113 enodes)
167.163 * * [simplify]: iters left: 4 (366 enodes)
167.498 * * [simplify]: Extracting #0: cost 1 inf + 0
167.498 * * [simplify]: Extracting #1: cost 10 inf + 0
167.499 * * [simplify]: Extracting #2: cost 263 inf + 0
167.504 * * [simplify]: Extracting #3: cost 698 inf + 130
167.511 * * [simplify]: Extracting #4: cost 693 inf + 5676
167.525 * * [simplify]: Extracting #5: cost 675 inf + 7433
167.555 * * [simplify]: Extracting #6: cost 461 inf + 74171
167.622 * * [simplify]: Extracting #7: cost 92 inf + 206281
167.745 * * [simplify]: Extracting #8: cost 3 inf + 244787
167.844 * * [simplify]: Extracting #9: cost 0 inf + 246185
167.971 * [simplify]: Simplified to (+ (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (* U (/ (/ U (* J 2)) (cos (/ K 2))))) (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (* U (/ (/ U (* J 2)) (cos (/ K 2))))) U)) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- 1 (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))))
167.971 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (* U (/ (/ U (* J 2)) (cos (/ K 2))))) (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (* U (/ (/ U (* J 2)) (cos (/ K 2))))) U)) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- 1 (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
167.972 * [simplify]: Simplifying (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
167.972 * * [simplify]: iters left: 6 (16 enodes)
167.981 * * [simplify]: iters left: 5 (76 enodes)
168.018 * * [simplify]: iters left: 4 (259 enodes)
168.275 * * [simplify]: Extracting #0: cost 1 inf + 0
168.275 * * [simplify]: Extracting #1: cost 57 inf + 0
168.276 * * [simplify]: Extracting #2: cost 239 inf + 4
168.280 * * [simplify]: Extracting #3: cost 464 inf + 1159
168.293 * * [simplify]: Extracting #4: cost 296 inf + 44008
168.321 * * [simplify]: Extracting #5: cost 52 inf + 118241
168.382 * * [simplify]: Extracting #6: cost 0 inf + 134791
168.442 * [simplify]: Simplified to (+ (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)))
168.442 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (+ (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)))))))
168.442 * * * * [progress]: [ 87 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))>
168.443 * [simplify]: Simplifying (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))
168.443 * * [simplify]: iters left: 6 (30 enodes)
168.452 * * [simplify]: iters left: 5 (154 enodes)
168.504 * * [simplify]: iters left: 4 (493 enodes)
169.011 * * [simplify]: Extracting #0: cost 1 inf + 0
169.011 * * [simplify]: Extracting #1: cost 14 inf + 0
169.012 * * [simplify]: Extracting #2: cost 276 inf + 0
169.017 * * [simplify]: Extracting #3: cost 748 inf + 661
169.025 * * [simplify]: Extracting #4: cost 846 inf + 7005
169.033 * * [simplify]: Extracting #5: cost 816 inf + 10134
169.050 * * [simplify]: Extracting #6: cost 558 inf + 99319
169.181 * * [simplify]: Extracting #7: cost 61 inf + 307632
169.328 * * [simplify]: Extracting #8: cost 0 inf + 330875
169.471 * * [simplify]: Extracting #9: cost 0 inf + 329587
169.588 * [simplify]: Simplified to (+ (* U (* (* (+ U (* U (+ (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) U) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (* (* (cos (/ K 2)) (* J 2)) (- 1 (* (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (/ (/ U (* J 2)) (cos (/ K 2)))))))))
169.588 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* U (* (* (+ U (* U (+ (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) U) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (* (* (cos (/ K 2)) (* J 2)) (- 1 (* (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (/ (/ U (* J 2)) (cos (/ K 2))))))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
169.590 * [simplify]: Simplifying (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
169.590 * * [simplify]: iters left: 6 (21 enodes)
169.603 * * [simplify]: iters left: 5 (107 enodes)
169.657 * * [simplify]: iters left: 4 (361 enodes)
170.020 * * [simplify]: Extracting #0: cost 1 inf + 0
170.020 * * [simplify]: Extracting #1: cost 74 inf + 0
170.023 * * [simplify]: Extracting #2: cost 478 inf + 46
170.029 * * [simplify]: Extracting #3: cost 733 inf + 1085
170.036 * * [simplify]: Extracting #4: cost 747 inf + 2580
170.051 * * [simplify]: Extracting #5: cost 693 inf + 12234
170.097 * * [simplify]: Extracting #6: cost 308 inf + 151039
170.207 * * [simplify]: Extracting #7: cost 13 inf + 268085
170.345 * * [simplify]: Extracting #8: cost 0 inf + 273286
170.468 * [simplify]: Simplified to (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) 2)) (* (* (cos (/ K 2)) J) 2)))
170.468 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))) (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) 2)) (* (* (cos (/ K 2)) J) 2)))))))
170.469 * * * * [progress]: [ 88 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
170.470 * [simplify]: Simplifying (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
170.470 * * [simplify]: iters left: 6 (25 enodes)
170.478 * * [simplify]: iters left: 5 (123 enodes)
170.514 * * [simplify]: iters left: 4 (410 enodes)
170.851 * * [simplify]: Extracting #0: cost 1 inf + 0
170.851 * * [simplify]: Extracting #1: cost 10 inf + 0
170.852 * * [simplify]: Extracting #2: cost 213 inf + 0
170.856 * * [simplify]: Extracting #3: cost 680 inf + 742
170.864 * * [simplify]: Extracting #4: cost 739 inf + 6159
170.872 * * [simplify]: Extracting #5: cost 709 inf + 9154
170.902 * * [simplify]: Extracting #6: cost 499 inf + 70824
170.986 * * [simplify]: Extracting #7: cost 53 inf + 229948
171.082 * * [simplify]: Extracting #8: cost 0 inf + 253974
171.163 * * [simplify]: Extracting #9: cost 0 inf + 253254
171.241 * [simplify]: Simplified to (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ (* U (* U U)) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* U (* U U))))) (* (* (cos (/ K 2)) J) (* (* 8 (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))
171.241 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ (* U (* U U)) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* U (* U U))))) (* (* (cos (/ K 2)) J) (* (* 8 (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
171.241 * [simplify]: Simplifying (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
171.242 * * [simplify]: iters left: 6 (17 enodes)
171.251 * * [simplify]: iters left: 5 (85 enodes)
171.274 * * [simplify]: iters left: 4 (310 enodes)
171.577 * * [simplify]: Extracting #0: cost 1 inf + 0
171.578 * * [simplify]: Extracting #1: cost 57 inf + 0
171.578 * * [simplify]: Extracting #2: cost 348 inf + 45
171.581 * * [simplify]: Extracting #3: cost 622 inf + 1323
171.588 * * [simplify]: Extracting #4: cost 482 inf + 37859
171.617 * * [simplify]: Extracting #5: cost 128 inf + 152597
171.670 * * [simplify]: Extracting #6: cost 1 inf + 199795
171.743 * * [simplify]: Extracting #7: cost 0 inf + 200214
171.790 * [simplify]: Simplified to (* (+ (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (/ (* (/ U (/ (* (cos (/ K 2)) (* J 2)) U)) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2)))) (* (cos (/ K 2)) (* J 2)))) (* (cos (/ K 2)) (* J 2)))
171.790 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (+ (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (/ (* (/ U (/ (* (cos (/ K 2)) (* J 2)) U)) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2)))) (* (cos (/ K 2)) (* J 2)))) (* (cos (/ K 2)) (* J 2)))))))
171.791 * * * * [progress]: [ 89 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))>
171.791 * [simplify]: Simplifying (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))
171.791 * * [simplify]: iters left: 6 (29 enodes)
171.801 * * [simplify]: iters left: 5 (144 enodes)
171.849 * * [simplify]: iters left: 4 (458 enodes)
172.366 * * [simplify]: Extracting #0: cost 1 inf + 0
172.367 * * [simplify]: Extracting #1: cost 14 inf + 0
172.368 * * [simplify]: Extracting #2: cost 310 inf + 0
172.373 * * [simplify]: Extracting #3: cost 849 inf + 538
172.382 * * [simplify]: Extracting #4: cost 899 inf + 5508
172.393 * * [simplify]: Extracting #5: cost 877 inf + 8727
172.419 * * [simplify]: Extracting #6: cost 659 inf + 80692
172.532 * * [simplify]: Extracting #7: cost 113 inf + 295690
172.668 * * [simplify]: Extracting #8: cost 3 inf + 350034
172.812 * * [simplify]: Extracting #9: cost 0 inf + 351339
172.994 * [simplify]: Simplified to (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (+ (* U U) (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U U)))) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* 4 (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))))))
172.995 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (+ (* U U) (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U U)))) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* 4 (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
172.996 * [simplify]: Simplifying (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
172.996 * * [simplify]: iters left: 6 (20 enodes)
173.009 * * [simplify]: iters left: 5 (100 enodes)
173.057 * * [simplify]: iters left: 4 (315 enodes)
173.348 * * [simplify]: Extracting #0: cost 1 inf + 0
173.348 * * [simplify]: Extracting #1: cost 66 inf + 0
173.349 * * [simplify]: Extracting #2: cost 348 inf + 87
173.351 * * [simplify]: Extracting #3: cost 561 inf + 1242
173.358 * * [simplify]: Extracting #4: cost 464 inf + 36122
173.420 * * [simplify]: Extracting #5: cost 118 inf + 154095
173.496 * * [simplify]: Extracting #6: cost 4 inf + 200265
173.586 * * [simplify]: Extracting #7: cost 0 inf + 201595
173.668 * [simplify]: Simplified to (* (* (* J 2) (cos (/ K 2))) (+ (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))))
173.668 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (+ (* U U) (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U U)))) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* 4 (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (* (* J 2) (cos (/ K 2))) (+ (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))))))))
173.669 * * * * [progress]: [ 90 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
173.669 * [simplify]: Simplifying (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
173.669 * * [simplify]: iters left: 6 (24 enodes)
173.677 * * [simplify]: iters left: 5 (112 enodes)
173.715 * * [simplify]: iters left: 4 (368 enodes)
174.136 * * [simplify]: Extracting #0: cost 1 inf + 0
174.136 * * [simplify]: Extracting #1: cost 10 inf + 0
174.136 * * [simplify]: Extracting #2: cost 240 inf + 0
174.138 * * [simplify]: Extracting #3: cost 686 inf + 253
174.142 * * [simplify]: Extracting #4: cost 694 inf + 4492
174.150 * * [simplify]: Extracting #5: cost 669 inf + 6988
174.188 * * [simplify]: Extracting #6: cost 451 inf + 77118
174.301 * * [simplify]: Extracting #7: cost 18 inf + 240888
174.400 * * [simplify]: Extracting #8: cost 0 inf + 241718
174.491 * * [simplify]: Extracting #9: cost 0 inf + 241040
174.585 * [simplify]: Simplified to (+ (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U) U) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U)) (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J)))
174.585 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U) U) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U)) (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
174.586 * [simplify]: Simplifying (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
174.586 * * [simplify]: iters left: 6 (16 enodes)
174.592 * * [simplify]: iters left: 5 (76 enodes)
174.610 * * [simplify]: iters left: 4 (259 enodes)
174.830 * * [simplify]: Extracting #0: cost 1 inf + 0
174.831 * * [simplify]: Extracting #1: cost 57 inf + 0
174.832 * * [simplify]: Extracting #2: cost 239 inf + 4
174.835 * * [simplify]: Extracting #3: cost 464 inf + 1159
174.850 * * [simplify]: Extracting #4: cost 296 inf + 44008
174.904 * * [simplify]: Extracting #5: cost 52 inf + 118241
174.944 * * [simplify]: Extracting #6: cost 0 inf + 134791
174.989 * [simplify]: Simplified to (+ (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)))
174.989 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (+ (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)))))))
174.989 * * * * [progress]: [ 91 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))>
174.990 * [simplify]: Simplifying (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))
174.990 * * [simplify]: iters left: 6 (28 enodes)
174.999 * * [simplify]: iters left: 5 (145 enodes)
175.037 * * [simplify]: iters left: 4 (461 enodes)
175.565 * * [simplify]: Extracting #0: cost 1 inf + 0
175.565 * * [simplify]: Extracting #1: cost 10 inf + 0
175.566 * * [simplify]: Extracting #2: cost 271 inf + 0
175.571 * * [simplify]: Extracting #3: cost 755 inf + 621
175.579 * * [simplify]: Extracting #4: cost 870 inf + 5549
175.589 * * [simplify]: Extracting #5: cost 858 inf + 8372
175.619 * * [simplify]: Extracting #6: cost 696 inf + 54891
175.694 * * [simplify]: Extracting #7: cost 214 inf + 251919
175.812 * * [simplify]: Extracting #8: cost 7 inf + 347984
175.948 * * [simplify]: Extracting #9: cost 0 inf + 349745
176.070 * * [simplify]: Extracting #10: cost 0 inf + 349744
176.244 * [simplify]: Simplified to (+ (* (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* U (* (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (+ 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* U (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))
176.244 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* U (* (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (+ 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* U (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
176.245 * [simplify]: Simplifying (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
176.246 * * [simplify]: iters left: 6 (20 enodes)
176.258 * * [simplify]: iters left: 5 (100 enodes)
176.289 * * [simplify]: iters left: 4 (315 enodes)
176.607 * * [simplify]: Extracting #0: cost 1 inf + 0
176.608 * * [simplify]: Extracting #1: cost 66 inf + 0
176.609 * * [simplify]: Extracting #2: cost 348 inf + 87
176.613 * * [simplify]: Extracting #3: cost 561 inf + 1242
176.627 * * [simplify]: Extracting #4: cost 464 inf + 36122
176.689 * * [simplify]: Extracting #5: cost 118 inf + 154095
176.769 * * [simplify]: Extracting #6: cost 4 inf + 200265
176.888 * * [simplify]: Extracting #7: cost 0 inf + 201595
177.001 * [simplify]: Simplified to (* (* (* J 2) (cos (/ K 2))) (+ (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))))
177.001 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))) (* (* (* J 2) (cos (/ K 2))) (+ (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))))))))
177.002 * * * * [progress]: [ 92 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
177.003 * [simplify]: Simplifying (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
177.003 * * [simplify]: iters left: 6 (23 enodes)
177.018 * * [simplify]: iters left: 5 (114 enodes)
177.073 * * [simplify]: iters left: 4 (382 enodes)
177.509 * * [simplify]: Extracting #0: cost 1 inf + 0
177.509 * * [simplify]: Extracting #1: cost 10 inf + 0
177.510 * * [simplify]: Extracting #2: cost 271 inf + 0
177.512 * * [simplify]: Extracting #3: cost 735 inf + 46
177.516 * * [simplify]: Extracting #4: cost 741 inf + 5181
177.520 * * [simplify]: Extracting #5: cost 716 inf + 7351
177.535 * * [simplify]: Extracting #6: cost 492 inf + 72288
177.621 * * [simplify]: Extracting #7: cost 77 inf + 231467
177.737 * * [simplify]: Extracting #8: cost 0 inf + 264758
177.869 * * [simplify]: Extracting #9: cost 0 inf + 264678
177.967 * [simplify]: Simplified to (+ (* 4 (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (+ U (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))
177.967 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* 4 (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (+ U (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
177.967 * [simplify]: Simplifying (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
177.968 * * [simplify]: iters left: 6 (16 enodes)
177.974 * * [simplify]: iters left: 5 (76 enodes)
177.999 * * [simplify]: iters left: 4 (259 enodes)
178.227 * * [simplify]: Extracting #0: cost 1 inf + 0
178.228 * * [simplify]: Extracting #1: cost 57 inf + 0
178.228 * * [simplify]: Extracting #2: cost 239 inf + 4
178.230 * * [simplify]: Extracting #3: cost 464 inf + 1159
178.238 * * [simplify]: Extracting #4: cost 296 inf + 44008
178.285 * * [simplify]: Extracting #5: cost 52 inf + 118241
178.319 * * [simplify]: Extracting #6: cost 0 inf + 134791
178.375 * [simplify]: Simplified to (+ (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)))
178.375 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (+ (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)))))))
178.376 * * * * [progress]: [ 93 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))>
178.376 * [simplify]: Simplifying (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))
178.376 * * [simplify]: iters left: 6 (28 enodes)
178.385 * * [simplify]: iters left: 5 (146 enodes)
178.434 * * [simplify]: iters left: 4 (473 enodes)
178.870 * * [simplify]: Extracting #0: cost 1 inf + 0
178.870 * * [simplify]: Extracting #1: cost 14 inf + 0
178.872 * * [simplify]: Extracting #2: cost 323 inf + 0
178.877 * * [simplify]: Extracting #3: cost 760 inf + 414
178.886 * * [simplify]: Extracting #4: cost 823 inf + 5598
178.895 * * [simplify]: Extracting #5: cost 802 inf + 8258
178.911 * * [simplify]: Extracting #6: cost 619 inf + 66500
178.977 * * [simplify]: Extracting #7: cost 185 inf + 237349
179.083 * * [simplify]: Extracting #8: cost 5 inf + 318125
179.243 * * [simplify]: Extracting #9: cost 0 inf + 319045
179.418 * [simplify]: Simplified to (+ (* 4 (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (+ (* U (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) U)))
179.418 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* 4 (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (+ (* U (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) U))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
179.420 * [simplify]: Simplifying (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
179.420 * * [simplify]: iters left: 6 (20 enodes)
179.433 * * [simplify]: iters left: 5 (100 enodes)
179.471 * * [simplify]: iters left: 4 (315 enodes)
179.734 * * [simplify]: Extracting #0: cost 1 inf + 0
179.734 * * [simplify]: Extracting #1: cost 66 inf + 0
179.735 * * [simplify]: Extracting #2: cost 348 inf + 87
179.737 * * [simplify]: Extracting #3: cost 561 inf + 1242
179.745 * * [simplify]: Extracting #4: cost 464 inf + 36122
179.800 * * [simplify]: Extracting #5: cost 118 inf + 154095
179.861 * * [simplify]: Extracting #6: cost 4 inf + 200265
179.952 * * [simplify]: Extracting #7: cost 0 inf + 201595
180.038 * [simplify]: Simplified to (* (* (* J 2) (cos (/ K 2))) (+ (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))))
180.038 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* 4 (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (+ (* U (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) U))) (* (* (* J 2) (cos (/ K 2))) (+ (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))))))))
180.040 * * * * [progress]: [ 94 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
180.040 * [simplify]: Simplifying (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
180.041 * * [simplify]: iters left: 6 (23 enodes)
180.056 * * [simplify]: iters left: 5 (114 enodes)
180.097 * * [simplify]: iters left: 4 (389 enodes)
180.442 * * [simplify]: Extracting #0: cost 1 inf + 0
180.442 * * [simplify]: Extracting #1: cost 10 inf + 0
180.443 * * [simplify]: Extracting #2: cost 262 inf + 0
180.455 * * [simplify]: Extracting #3: cost 672 inf + 417
180.462 * * [simplify]: Extracting #4: cost 693 inf + 3712
180.471 * * [simplify]: Extracting #5: cost 667 inf + 6606
180.486 * * [simplify]: Extracting #6: cost 461 inf + 65729
180.544 * * [simplify]: Extracting #7: cost 53 inf + 220188
180.625 * * [simplify]: Extracting #8: cost 0 inf + 244157
180.711 * * [simplify]: Extracting #9: cost 0 inf + 244076
180.823 * [simplify]: Simplified to (+ (* (- 1 (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2)))) (* (+ (* U (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) U) (* U (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))
180.823 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (- 1 (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2)))) (* (+ (* U (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) U) (* U (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
180.823 * [simplify]: Simplifying (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
180.823 * * [simplify]: iters left: 6 (16 enodes)
180.828 * * [simplify]: iters left: 5 (76 enodes)
180.856 * * [simplify]: iters left: 4 (259 enodes)
181.062 * * [simplify]: Extracting #0: cost 1 inf + 0
181.063 * * [simplify]: Extracting #1: cost 57 inf + 0
181.063 * * [simplify]: Extracting #2: cost 239 inf + 4
181.065 * * [simplify]: Extracting #3: cost 464 inf + 1159
181.079 * * [simplify]: Extracting #4: cost 296 inf + 44008
181.132 * * [simplify]: Extracting #5: cost 52 inf + 118241
181.169 * * [simplify]: Extracting #6: cost 0 inf + 134791
181.231 * [simplify]: Simplified to (+ (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)))
181.232 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (+ (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)))))))
181.232 * * * * [progress]: [ 95 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))) (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))>
181.233 * [simplify]: Simplifying (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))
181.233 * * [simplify]: iters left: 6 (27 enodes)
181.249 * * [simplify]: iters left: 5 (134 enodes)
181.283 * * [simplify]: iters left: 4 (395 enodes)
181.754 * * [simplify]: Extracting #0: cost 1 inf + 0
181.754 * * [simplify]: Extracting #1: cost 14 inf + 0
181.756 * * [simplify]: Extracting #2: cost 271 inf + 0
181.761 * * [simplify]: Extracting #3: cost 732 inf + 88
181.768 * * [simplify]: Extracting #4: cost 778 inf + 3317
181.776 * * [simplify]: Extracting #5: cost 754 inf + 6679
181.796 * * [simplify]: Extracting #6: cost 550 inf + 67676
181.853 * * [simplify]: Extracting #7: cost 178 inf + 217459
181.967 * * [simplify]: Extracting #8: cost 4 inf + 298432
182.127 * * [simplify]: Extracting #9: cost 0 inf + 297956
182.265 * * [simplify]: Extracting #10: cost 0 inf + 297916
182.399 * [simplify]: Simplified to (+ (* (+ (/ (/ U 2) (* (cos (/ K 2)) J)) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (* (cos (/ K 2)) J) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))
182.399 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (+ (/ (/ U 2) (* (cos (/ K 2)) J)) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (* (cos (/ K 2)) J) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
182.400 * [simplify]: Simplifying (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
182.400 * * [simplify]: iters left: 6 (19 enodes)
182.405 * * [simplify]: iters left: 5 (88 enodes)
182.427 * * [simplify]: iters left: 4 (254 enodes)
182.685 * * [simplify]: Extracting #0: cost 1 inf + 0
182.685 * * [simplify]: Extracting #1: cost 30 inf + 0
182.686 * * [simplify]: Extracting #2: cost 171 inf + 3
182.687 * * [simplify]: Extracting #3: cost 400 inf + 295
182.693 * * [simplify]: Extracting #4: cost 308 inf + 32368
182.735 * * [simplify]: Extracting #5: cost 55 inf + 114501
183.175 * * [simplify]: Extracting #6: cost 0 inf + 134404
183.225 * * [simplify]: Extracting #7: cost 0 inf + 134278
183.287 * [simplify]: Simplified to (+ (+ (* (* J 2) (cos (/ K 2))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (* J 2) (cos (/ K 2))))) (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (* J 2) (cos (/ K 2)))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))
183.287 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (+ (/ (/ U 2) (* (cos (/ K 2)) J)) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (* (cos (/ K 2)) J) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (+ (+ (* (* J 2) (cos (/ K 2))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (* J 2) (cos (/ K 2))))) (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (* J 2) (cos (/ K 2)))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))))))
183.287 * * * * [progress]: [ 96 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
183.288 * [simplify]: Simplifying (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
183.288 * * [simplify]: iters left: 6 (22 enodes)
183.294 * * [simplify]: iters left: 5 (102 enodes)
183.340 * * [simplify]: iters left: 4 (308 enodes)
183.666 * * [simplify]: Extracting #0: cost 1 inf + 0
183.666 * * [simplify]: Extracting #1: cost 10 inf + 0
183.667 * * [simplify]: Extracting #2: cost 234 inf + 0
183.671 * * [simplify]: Extracting #3: cost 633 inf + 294
183.678 * * [simplify]: Extracting #4: cost 641 inf + 4610
183.707 * * [simplify]: Extracting #5: cost 438 inf + 64832
183.782 * * [simplify]: Extracting #6: cost 38 inf + 213980
183.861 * * [simplify]: Extracting #7: cost 1 inf + 228612
183.968 * * [simplify]: Extracting #8: cost 0 inf + 229237
184.089 * [simplify]: Simplified to (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (cos (/ K 2)) J) 2)) (* (* U (/ (/ (/ U 2) J) (cos (/ K 2)))) (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
184.089 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (cos (/ K 2)) J) 2)) (* (* U (/ (/ (/ U 2) J) (cos (/ K 2)))) (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
184.090 * [simplify]: Simplifying (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
184.090 * * [simplify]: iters left: 6 (15 enodes)
184.099 * * [simplify]: iters left: 5 (66 enodes)
184.116 * * [simplify]: iters left: 4 (205 enodes)
184.283 * * [simplify]: Extracting #0: cost 1 inf + 0
184.283 * * [simplify]: Extracting #1: cost 21 inf + 0
184.283 * * [simplify]: Extracting #2: cost 133 inf + 3
184.286 * * [simplify]: Extracting #3: cost 381 inf + 87
184.292 * * [simplify]: Extracting #4: cost 226 inf + 37172
184.320 * * [simplify]: Extracting #5: cost 22 inf + 94827
184.365 * * [simplify]: Extracting #6: cost 0 inf + 100639
184.391 * [simplify]: Simplified to (+ (* (* J 2) (cos (/ K 2))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (* J 2) (cos (/ K 2)))))
184.392 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (+ (* (* J 2) (cos (/ K 2))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (* J 2) (cos (/ K 2)))))))))
184.393 * * * * [progress]: [ 97 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))) (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))>
184.393 * [simplify]: Simplifying (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))
184.393 * * [simplify]: iters left: 6 (27 enodes)
184.408 * * [simplify]: iters left: 5 (134 enodes)
184.438 * * [simplify]: iters left: 4 (385 enodes)
184.824 * * [simplify]: Extracting #0: cost 1 inf + 0
184.824 * * [simplify]: Extracting #1: cost 14 inf + 0
184.824 * * [simplify]: Extracting #2: cost 283 inf + 0
184.832 * * [simplify]: Extracting #3: cost 726 inf + 88
184.836 * * [simplify]: Extracting #4: cost 769 inf + 3302
184.840 * * [simplify]: Extracting #5: cost 748 inf + 6636
184.855 * * [simplify]: Extracting #6: cost 493 inf + 89451
184.906 * * [simplify]: Extracting #7: cost 147 inf + 240659
185.028 * * [simplify]: Extracting #8: cost 1 inf + 298795
185.159 * * [simplify]: Extracting #9: cost 0 inf + 296859
185.278 * * [simplify]: Extracting #10: cost 0 inf + 296858
185.403 * [simplify]: Simplified to (+ (* (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)))
185.403 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
185.404 * [simplify]: Simplifying (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
185.405 * * [simplify]: iters left: 6 (19 enodes)
185.416 * * [simplify]: iters left: 5 (88 enodes)
185.459 * * [simplify]: iters left: 4 (254 enodes)
185.670 * * [simplify]: Extracting #0: cost 1 inf + 0
185.671 * * [simplify]: Extracting #1: cost 30 inf + 0
185.671 * * [simplify]: Extracting #2: cost 171 inf + 3
185.674 * * [simplify]: Extracting #3: cost 400 inf + 295
185.682 * * [simplify]: Extracting #4: cost 308 inf + 32368
185.716 * * [simplify]: Extracting #5: cost 55 inf + 114501
185.765 * * [simplify]: Extracting #6: cost 0 inf + 134404
185.823 * * [simplify]: Extracting #7: cost 0 inf + 134278
185.870 * [simplify]: Simplified to (+ (+ (* (* J 2) (cos (/ K 2))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (* J 2) (cos (/ K 2))))) (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (* J 2) (cos (/ K 2)))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))
185.870 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J))) (+ (+ (* (* J 2) (cos (/ K 2))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (* J 2) (cos (/ K 2))))) (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (* J 2) (cos (/ K 2)))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))))))
185.871 * * * * [progress]: [ 98 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
185.871 * [simplify]: Simplifying (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
185.871 * * [simplify]: iters left: 6 (22 enodes)
185.880 * * [simplify]: iters left: 5 (102 enodes)
185.928 * * [simplify]: iters left: 4 (304 enodes)
186.244 * * [simplify]: Extracting #0: cost 1 inf + 0
186.244 * * [simplify]: Extracting #1: cost 10 inf + 0
186.244 * * [simplify]: Extracting #2: cost 242 inf + 0
186.247 * * [simplify]: Extracting #3: cost 635 inf + 171
186.250 * * [simplify]: Extracting #4: cost 645 inf + 4529
186.270 * * [simplify]: Extracting #5: cost 436 inf + 67985
186.341 * * [simplify]: Extracting #6: cost 34 inf + 220550
186.437 * * [simplify]: Extracting #7: cost 1 inf + 233840
186.513 * * [simplify]: Extracting #8: cost 0 inf + 234385
186.609 * [simplify]: Simplified to (+ (* (* (cos (/ K 2)) (- 1 (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* J 2)) (* (* U (/ (/ U (* J 2)) (cos (/ K 2)))) (+ (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))
186.609 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (cos (/ K 2)) (- 1 (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* J 2)) (* (* U (/ (/ U (* J 2)) (cos (/ K 2)))) (+ (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
186.610 * [simplify]: Simplifying (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
186.610 * * [simplify]: iters left: 6 (15 enodes)
186.614 * * [simplify]: iters left: 5 (66 enodes)
186.641 * * [simplify]: iters left: 4 (205 enodes)
186.828 * * [simplify]: Extracting #0: cost 1 inf + 0
186.828 * * [simplify]: Extracting #1: cost 21 inf + 0
186.829 * * [simplify]: Extracting #2: cost 133 inf + 3
186.830 * * [simplify]: Extracting #3: cost 381 inf + 87
186.839 * * [simplify]: Extracting #4: cost 226 inf + 37172
186.859 * * [simplify]: Extracting #5: cost 22 inf + 94827
186.891 * * [simplify]: Extracting #6: cost 0 inf + 100639
186.938 * [simplify]: Simplified to (+ (* (* J 2) (cos (/ K 2))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (* J 2) (cos (/ K 2)))))
186.938 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (+ (* (* J 2) (cos (/ K 2))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (* J 2) (cos (/ K 2)))))))))
186.938 * * * * [progress]: [ 99 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))>
186.939 * [simplify]: Simplifying (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))
186.939 * * [simplify]: iters left: 6 (28 enodes)
186.956 * * [simplify]: iters left: 5 (145 enodes)
187.000 * * [simplify]: iters left: 4 (468 enodes)
187.585 * * [simplify]: Extracting #0: cost 1 inf + 0
187.585 * * [simplify]: Extracting #1: cost 14 inf + 0
187.585 * * [simplify]: Extracting #2: cost 327 inf + 0
187.590 * * [simplify]: Extracting #3: cost 847 inf + 542
187.599 * * [simplify]: Extracting #4: cost 906 inf + 6479
187.617 * * [simplify]: Extracting #5: cost 891 inf + 8466
187.630 * * [simplify]: Extracting #6: cost 840 inf + 22079
187.684 * * [simplify]: Extracting #7: cost 357 inf + 203827
187.856 * * [simplify]: Extracting #8: cost 26 inf + 349326
188.007 * * [simplify]: Extracting #9: cost 0 inf + 361280
188.146 * * [simplify]: Extracting #10: cost 0 inf + 361078
188.324 * [simplify]: Simplified to (+ (* 4 (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (+ (* U (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) U)))
188.324 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* 4 (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (+ (* U (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) U))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
188.325 * [simplify]: Simplifying (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
188.325 * * [simplify]: iters left: 6 (20 enodes)
188.331 * * [simplify]: iters left: 5 (100 enodes)
188.360 * * [simplify]: iters left: 4 (315 enodes)
188.638 * * [simplify]: Extracting #0: cost 1 inf + 0
188.638 * * [simplify]: Extracting #1: cost 66 inf + 0
188.640 * * [simplify]: Extracting #2: cost 348 inf + 87
188.644 * * [simplify]: Extracting #3: cost 561 inf + 1242
188.664 * * [simplify]: Extracting #4: cost 464 inf + 36122
188.729 * * [simplify]: Extracting #5: cost 118 inf + 154095
188.842 * * [simplify]: Extracting #6: cost 4 inf + 200265
188.956 * * [simplify]: Extracting #7: cost 0 inf + 201595
189.042 * [simplify]: Simplified to (* (* (* J 2) (cos (/ K 2))) (+ (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))))
189.042 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* 4 (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (+ (* U (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) U))) (* (* (* J 2) (cos (/ K 2))) (+ (* (* J 2) (cos (/ K 2))) (* (* (* J 2) (cos (/ K 2))) (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))))))))
189.043 * * * * [progress]: [ 100 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
189.043 * [simplify]: Simplifying (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
189.043 * * [simplify]: iters left: 6 (23 enodes)
189.056 * * [simplify]: iters left: 5 (113 enodes)
189.097 * * [simplify]: iters left: 4 (389 enodes)
189.506 * * [simplify]: Extracting #0: cost 1 inf + 0
189.506 * * [simplify]: Extracting #1: cost 10 inf + 0
189.507 * * [simplify]: Extracting #2: cost 271 inf + 0
189.511 * * [simplify]: Extracting #3: cost 716 inf + 496
189.518 * * [simplify]: Extracting #4: cost 732 inf + 4883
189.526 * * [simplify]: Extracting #5: cost 716 inf + 6444
189.536 * * [simplify]: Extracting #6: cost 684 inf + 15558
189.595 * * [simplify]: Extracting #7: cost 262 inf + 172101
189.665 * * [simplify]: Extracting #8: cost 1 inf + 266100
189.765 * * [simplify]: Extracting #9: cost 0 inf + 259402
189.833 * * [simplify]: Extracting #10: cost 0 inf + 259362
189.935 * [simplify]: Simplified to (+ (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* 4 (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (+ U (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))
189.935 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* 4 (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (+ U (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
189.936 * [simplify]: Simplifying (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
189.937 * * [simplify]: iters left: 6 (16 enodes)
189.946 * * [simplify]: iters left: 5 (76 enodes)
189.980 * * [simplify]: iters left: 4 (259 enodes)
190.189 * * [simplify]: Extracting #0: cost 1 inf + 0
190.189 * * [simplify]: Extracting #1: cost 57 inf + 0
190.191 * * [simplify]: Extracting #2: cost 239 inf + 4
190.194 * * [simplify]: Extracting #3: cost 464 inf + 1159
190.202 * * [simplify]: Extracting #4: cost 296 inf + 44008
190.231 * * [simplify]: Extracting #5: cost 52 inf + 118241
190.272 * * [simplify]: Extracting #6: cost 0 inf + 134791
190.304 * [simplify]: Simplified to (+ (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)))
190.305 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (+ (* (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)))))))
190.305 * * * * [progress]: [ 101 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))) (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))>
190.305 * [simplify]: Simplifying (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))
190.306 * * [simplify]: iters left: 6 (27 enodes)
190.320 * * [simplify]: iters left: 5 (134 enodes)
190.380 * * [simplify]: iters left: 4 (393 enodes)
190.861 * * [simplify]: Extracting #0: cost 1 inf + 0
190.861 * * [simplify]: Extracting #1: cost 14 inf + 0
190.862 * * [simplify]: Extracting #2: cost 295 inf + 0
190.864 * * [simplify]: Extracting #3: cost 798 inf + 294
190.868 * * [simplify]: Extracting #4: cost 833 inf + 3762
190.878 * * [simplify]: Extracting #5: cost 816 inf + 6757
190.890 * * [simplify]: Extracting #6: cost 616 inf + 69467
190.971 * * [simplify]: Extracting #7: cost 177 inf + 251344
191.091 * * [simplify]: Extracting #8: cost 10 inf + 322993
191.263 * * [simplify]: Extracting #9: cost 0 inf + 325733
191.399 * * [simplify]: Extracting #10: cost 0 inf + 325732
191.538 * [simplify]: Simplified to (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (+ (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) U)) (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))
191.538 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (+ (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) U)) (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
191.539 * [simplify]: Simplifying (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
191.539 * * [simplify]: iters left: 6 (19 enodes)
191.545 * * [simplify]: iters left: 5 (88 enodes)
191.584 * * [simplify]: iters left: 4 (254 enodes)
191.842 * * [simplify]: Extracting #0: cost 1 inf + 0
191.843 * * [simplify]: Extracting #1: cost 30 inf + 0
191.843 * * [simplify]: Extracting #2: cost 171 inf + 3
191.846 * * [simplify]: Extracting #3: cost 400 inf + 295
191.859 * * [simplify]: Extracting #4: cost 308 inf + 32368
191.909 * * [simplify]: Extracting #5: cost 55 inf + 114501
191.990 * * [simplify]: Extracting #6: cost 0 inf + 134404
192.044 * * [simplify]: Extracting #7: cost 0 inf + 134278
192.121 * [simplify]: Simplified to (+ (+ (* (* J 2) (cos (/ K 2))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (* J 2) (cos (/ K 2))))) (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (* J 2) (cos (/ K 2)))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))
192.121 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (+ (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) U)) (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (+ (+ (* (* J 2) (cos (/ K 2))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (* J 2) (cos (/ K 2))))) (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (* J 2) (cos (/ K 2)))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))))))
192.122 * * * * [progress]: [ 102 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
192.123 * [simplify]: Simplifying (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
192.123 * * [simplify]: iters left: 6 (22 enodes)
192.136 * * [simplify]: iters left: 5 (102 enodes)
192.180 * * [simplify]: iters left: 4 (302 enodes)
192.503 * * [simplify]: Extracting #0: cost 1 inf + 0
192.503 * * [simplify]: Extracting #1: cost 10 inf + 0
192.504 * * [simplify]: Extracting #2: cost 232 inf + 0
192.508 * * [simplify]: Extracting #3: cost 634 inf + 211
192.514 * * [simplify]: Extracting #4: cost 650 inf + 3505
192.549 * * [simplify]: Extracting #5: cost 378 inf + 93635
192.619 * * [simplify]: Extracting #6: cost 22 inf + 220186
192.686 * * [simplify]: Extracting #7: cost 0 inf + 227238
192.748 * * [simplify]: Extracting #8: cost 0 inf + 226998
192.859 * [simplify]: Simplified to (+ (* (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 2) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) U))
192.859 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 2) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) U)) (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
192.860 * [simplify]: Simplifying (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
192.860 * * [simplify]: iters left: 6 (15 enodes)
192.869 * * [simplify]: iters left: 5 (66 enodes)
192.899 * * [simplify]: iters left: 4 (205 enodes)
193.121 * * [simplify]: Extracting #0: cost 1 inf + 0
193.121 * * [simplify]: Extracting #1: cost 21 inf + 0
193.122 * * [simplify]: Extracting #2: cost 133 inf + 3
193.123 * * [simplify]: Extracting #3: cost 381 inf + 87
193.129 * * [simplify]: Extracting #4: cost 226 inf + 37172
193.149 * * [simplify]: Extracting #5: cost 22 inf + 94827
193.197 * * [simplify]: Extracting #6: cost 0 inf + 100639
193.246 * [simplify]: Simplified to (+ (* (* J 2) (cos (/ K 2))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (* J 2) (cos (/ K 2)))))
193.246 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (+ (* (* J 2) (cos (/ K 2))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (* J 2) (cos (/ K 2)))))))))
193.247 * * * * [progress]: [ 103 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))) (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))>
193.248 * [simplify]: Simplifying (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))
193.248 * * [simplify]: iters left: 6 (27 enodes)
193.258 * * [simplify]: iters left: 5 (134 enodes)
193.299 * * [simplify]: iters left: 4 (403 enodes)
193.844 * * [simplify]: Extracting #0: cost 1 inf + 0
193.844 * * [simplify]: Extracting #1: cost 14 inf + 0
193.845 * * [simplify]: Extracting #2: cost 297 inf + 0
193.848 * * [simplify]: Extracting #3: cost 821 inf + 376
193.852 * * [simplify]: Extracting #4: cost 854 inf + 4120
193.858 * * [simplify]: Extracting #5: cost 843 inf + 6717
193.881 * * [simplify]: Extracting #6: cost 662 inf + 63347
193.953 * * [simplify]: Extracting #7: cost 176 inf + 256158
194.133 * * [simplify]: Extracting #8: cost 1 inf + 329143
194.308 * * [simplify]: Extracting #9: cost 0 inf + 327794
194.461 * [simplify]: Simplified to (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (+ (* U (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) U)) (* 2 (* (* (cos (/ K 2)) J) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))
194.461 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (+ (* U (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) U)) (* 2 (* (* (cos (/ K 2)) J) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
194.462 * [simplify]: Simplifying (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
194.462 * * [simplify]: iters left: 6 (19 enodes)
194.467 * * [simplify]: iters left: 5 (88 enodes)
194.491 * * [simplify]: iters left: 4 (254 enodes)
194.725 * * [simplify]: Extracting #0: cost 1 inf + 0
194.725 * * [simplify]: Extracting #1: cost 30 inf + 0
194.726 * * [simplify]: Extracting #2: cost 171 inf + 3
194.727 * * [simplify]: Extracting #3: cost 400 inf + 295
194.737 * * [simplify]: Extracting #4: cost 308 inf + 32368
194.782 * * [simplify]: Extracting #5: cost 55 inf + 114501
194.850 * * [simplify]: Extracting #6: cost 0 inf + 134404
194.909 * * [simplify]: Extracting #7: cost 0 inf + 134278
194.957 * [simplify]: Simplified to (+ (+ (* (* J 2) (cos (/ K 2))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (* J 2) (cos (/ K 2))))) (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (* J 2) (cos (/ K 2)))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))
194.957 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (+ (* U (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) U)) (* 2 (* (* (cos (/ K 2)) J) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (+ (+ (* (* J 2) (cos (/ K 2))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (* J 2) (cos (/ K 2))))) (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (* J 2) (cos (/ K 2)))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))))))
194.958 * * * * [progress]: [ 104 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
194.958 * [simplify]: Simplifying (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
194.958 * * [simplify]: iters left: 6 (22 enodes)
194.971 * * [simplify]: iters left: 5 (102 enodes)
195.017 * * [simplify]: iters left: 4 (308 enodes)
195.390 * * [simplify]: Extracting #0: cost 1 inf + 0
195.391 * * [simplify]: Extracting #1: cost 10 inf + 0
195.391 * * [simplify]: Extracting #2: cost 232 inf + 0
195.396 * * [simplify]: Extracting #3: cost 656 inf + 129
195.402 * * [simplify]: Extracting #4: cost 666 inf + 4832
195.436 * * [simplify]: Extracting #5: cost 433 inf + 75311
195.524 * * [simplify]: Extracting #6: cost 29 inf + 225961
195.616 * * [simplify]: Extracting #7: cost 1 inf + 238478
195.722 * * [simplify]: Extracting #8: cost 0 inf + 238823
195.799 * * [simplify]: Extracting #9: cost 0 inf + 238783
195.873 * [simplify]: Simplified to (+ (* (* (cos (/ K 2)) (- 1 (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* J 2)) (* (+ (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* U (/ (/ U (* J 2)) (cos (/ K 2))))))
195.873 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (cos (/ K 2)) (- 1 (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* J 2)) (* (+ (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* U (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
195.874 * [simplify]: Simplifying (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
195.875 * * [simplify]: iters left: 6 (15 enodes)
195.883 * * [simplify]: iters left: 5 (66 enodes)
195.899 * * [simplify]: iters left: 4 (205 enodes)
196.070 * * [simplify]: Extracting #0: cost 1 inf + 0
196.071 * * [simplify]: Extracting #1: cost 21 inf + 0
196.071 * * [simplify]: Extracting #2: cost 133 inf + 3
196.072 * * [simplify]: Extracting #3: cost 381 inf + 87
196.083 * * [simplify]: Extracting #4: cost 226 inf + 37172
196.114 * * [simplify]: Extracting #5: cost 22 inf + 94827
196.138 * * [simplify]: Extracting #6: cost 0 inf + 100639
196.178 * [simplify]: Simplified to (+ (* (* J 2) (cos (/ K 2))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (* J 2) (cos (/ K 2)))))
196.178 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (+ (* (* J 2) (cos (/ K 2))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (* J 2) (cos (/ K 2)))))))))
196.178 * * * * [progress]: [ 105 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))>
196.178 * [simplify]: Simplifying (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3))
196.178 * * [simplify]: iters left: 6 (19 enodes)
196.184 * * [simplify]: iters left: 5 (84 enodes)
196.207 * * [simplify]: iters left: 4 (236 enodes)
196.358 * * [simplify]: Extracting #0: cost 1 inf + 0
196.358 * * [simplify]: Extracting #1: cost 4 inf + 0
196.358 * * [simplify]: Extracting #2: cost 57 inf + 0
196.359 * * [simplify]: Extracting #3: cost 356 inf + 5
196.361 * * [simplify]: Extracting #4: cost 455 inf + 1313
196.364 * * [simplify]: Extracting #5: cost 434 inf + 3964
196.372 * * [simplify]: Extracting #6: cost 277 inf + 50344
196.403 * * [simplify]: Extracting #7: cost 51 inf + 136132
196.446 * * [simplify]: Extracting #8: cost 1 inf + 158612
196.518 * * [simplify]: Extracting #9: cost 0 inf + 158671
196.572 * [simplify]: Simplified to (+ (* (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (- 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (- 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (- 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))))
196.572 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (- 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (- 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (- 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
196.574 * [simplify]: Simplifying (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
196.574 * * [simplify]: iters left: 6 (20 enodes)
196.580 * * [simplify]: iters left: 5 (81 enodes)
196.601 * * [simplify]: iters left: 4 (222 enodes)
196.799 * * [simplify]: Extracting #0: cost 1 inf + 0
196.800 * * [simplify]: Extracting #1: cost 12 inf + 0
196.800 * * [simplify]: Extracting #2: cost 133 inf + 0
196.803 * * [simplify]: Extracting #3: cost 436 inf + 3
196.807 * * [simplify]: Extracting #4: cost 518 inf + 794
196.812 * * [simplify]: Extracting #5: cost 497 inf + 2891
196.834 * * [simplify]: Extracting #6: cost 298 inf + 63187
196.887 * * [simplify]: Extracting #7: cost 17 inf + 167840
196.948 * * [simplify]: Extracting #8: cost 0 inf + 173984
197.008 * * [simplify]: Extracting #9: cost 0 inf + 173943
197.095 * [simplify]: Simplified to (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (- (* (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))
197.095 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (+ (* (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (- 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (- 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (- 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (- (* (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))
197.097 * * * * [progress]: [ 106 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (* 1 (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
197.097 * * * * [progress]: [ 107 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
197.097 * [simplify]: Simplifying (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
197.098 * * [simplify]: iters left: 6 (18 enodes)
197.108 * * [simplify]: iters left: 5 (72 enodes)
197.138 * * [simplify]: iters left: 4 (199 enodes)
197.295 * * [simplify]: Extracting #0: cost 1 inf + 0
197.295 * * [simplify]: Extracting #1: cost 23 inf + 0
197.296 * * [simplify]: Extracting #2: cost 80 inf + 0
197.297 * * [simplify]: Extracting #3: cost 338 inf + 3
197.300 * * [simplify]: Extracting #4: cost 401 inf + 548
197.304 * * [simplify]: Extracting #5: cost 377 inf + 2971
197.320 * * [simplify]: Extracting #6: cost 214 inf + 50311
197.368 * * [simplify]: Extracting #7: cost 24 inf + 117590
197.427 * * [simplify]: Extracting #8: cost 0 inf + 125275
197.466 * [simplify]: Simplified to (- (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
197.466 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (- (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
197.468 * [simplify]: Simplifying (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))
197.468 * * [simplify]: iters left: 6 (16 enodes)
197.477 * * [simplify]: iters left: 5 (64 enodes)
197.502 * * [simplify]: iters left: 4 (171 enodes)
197.604 * * [simplify]: Extracting #0: cost 1 inf + 0
197.604 * * [simplify]: Extracting #1: cost 11 inf + 0
197.604 * * [simplify]: Extracting #2: cost 182 inf + 1
197.605 * * [simplify]: Extracting #3: cost 314 inf + 254
197.607 * * [simplify]: Extracting #4: cost 287 inf + 2521
197.610 * * [simplify]: Extracting #5: cost 217 inf + 18545
197.624 * * [simplify]: Extracting #6: cost 29 inf + 77906
197.652 * * [simplify]: Extracting #7: cost 0 inf + 88334
197.691 * [simplify]: Simplified to (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (- (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))
197.691 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (/ (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (- (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))))
197.691 * * * * [progress]: [ 108 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1)) (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
197.691 * [simplify]: Simplifying (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))
197.691 * * [simplify]: iters left: 6 (14 enodes)
197.695 * * [simplify]: iters left: 5 (57 enodes)
197.708 * * [simplify]: iters left: 4 (140 enodes)
197.785 * * [simplify]: Extracting #0: cost 1 inf + 0
197.785 * * [simplify]: Extracting #1: cost 4 inf + 0
197.786 * * [simplify]: Extracting #2: cost 95 inf + 1
197.787 * * [simplify]: Extracting #3: cost 280 inf + 5
197.790 * * [simplify]: Extracting #4: cost 275 inf + 2133
197.797 * * [simplify]: Extracting #5: cost 204 inf + 19971
197.813 * * [simplify]: Extracting #6: cost 21 inf + 79112
197.831 * * [simplify]: Extracting #7: cost 0 inf + 85617
197.849 * * [simplify]: Extracting #8: cost 0 inf + 85422
197.878 * [simplify]: Simplified to (+ 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))
197.878 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (+ 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
197.879 * * * * [progress]: [ 109 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1)) (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
197.879 * [simplify]: Simplifying (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))
197.879 * * [simplify]: iters left: 6 (14 enodes)
197.887 * * [simplify]: iters left: 5 (57 enodes)
197.898 * * [simplify]: iters left: 4 (140 enodes)
197.978 * * [simplify]: Extracting #0: cost 1 inf + 0
197.978 * * [simplify]: Extracting #1: cost 4 inf + 0
197.978 * * [simplify]: Extracting #2: cost 95 inf + 1
197.979 * * [simplify]: Extracting #3: cost 280 inf + 5
197.980 * * [simplify]: Extracting #4: cost 275 inf + 2133
197.984 * * [simplify]: Extracting #5: cost 204 inf + 19971
198.007 * * [simplify]: Extracting #6: cost 21 inf + 79112
198.032 * * [simplify]: Extracting #7: cost 0 inf + 85617
198.053 * * [simplify]: Extracting #8: cost 0 inf + 85422
198.078 * [simplify]: Simplified to (+ 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))
198.078 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (+ 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
198.079 * * * * [progress]: [ 110 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (- (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1)) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))>
198.079 * [simplify]: Simplifying (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))
198.079 * * [simplify]: iters left: 6 (14 enodes)
198.087 * * [simplify]: iters left: 5 (57 enodes)
198.106 * * [simplify]: iters left: 4 (140 enodes)
198.170 * * [simplify]: Extracting #0: cost 1 inf + 0
198.170 * * [simplify]: Extracting #1: cost 4 inf + 0
198.170 * * [simplify]: Extracting #2: cost 95 inf + 1
198.171 * * [simplify]: Extracting #3: cost 280 inf + 5
198.172 * * [simplify]: Extracting #4: cost 275 inf + 2133
198.176 * * [simplify]: Extracting #5: cost 204 inf + 19971
198.195 * * [simplify]: Extracting #6: cost 21 inf + 79112
198.216 * * [simplify]: Extracting #7: cost 0 inf + 85617
198.234 * * [simplify]: Extracting #8: cost 0 inf + 85422
198.258 * [simplify]: Simplified to (+ 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))
198.258 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (- (+ 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
198.258 * * * * [progress]: [ 111 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (posit16->real (real->posit16 (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
198.259 * [simplify]: Simplifying (real->posit16 (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
198.259 * * [simplify]: iters left: 6 (17 enodes)
198.269 * * [simplify]: iters left: 5 (63 enodes)
198.293 * * [simplify]: iters left: 4 (165 enodes)
198.409 * * [simplify]: Extracting #0: cost 1 inf + 0
198.409 * * [simplify]: Extracting #1: cost 2 inf + 0
198.409 * * [simplify]: Extracting #2: cost 10 inf + 0
198.410 * * [simplify]: Extracting #3: cost 185 inf + 1
198.411 * * [simplify]: Extracting #4: cost 313 inf + 420
198.413 * * [simplify]: Extracting #5: cost 282 inf + 3096
198.418 * * [simplify]: Extracting #6: cost 184 inf + 28845
198.435 * * [simplify]: Extracting #7: cost 11 inf + 84968
198.462 * * [simplify]: Extracting #8: cost 0 inf + 88873
198.496 * [simplify]: Simplified to (real->posit16 (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))
198.496 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (posit16->real (real->posit16 (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))
198.497 * * * * [progress]: [ 112 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))))>
198.497 * * * * [progress]: [ 113 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (pow (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 1/2)))>
198.497 * * * * [progress]: [ 114 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (pow (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 1)))>
198.497 * * * * [progress]: [ 115 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (exp (log (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
198.497 * [simplify]: Simplifying (log (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
198.497 * * [simplify]: iters left: 6 (18 enodes)
198.502 * * [simplify]: iters left: 5 (69 enodes)
198.517 * * [simplify]: iters left: 4 (169 enodes)
198.625 * * [simplify]: Extracting #0: cost 1 inf + 0
198.625 * * [simplify]: Extracting #1: cost 3 inf + 0
198.625 * * [simplify]: Extracting #2: cost 5 inf + 0
198.625 * * [simplify]: Extracting #3: cost 14 inf + 0
198.626 * * [simplify]: Extracting #4: cost 180 inf + 1
198.628 * * [simplify]: Extracting #5: cost 310 inf + 172
198.630 * * [simplify]: Extracting #6: cost 287 inf + 1782
198.638 * * [simplify]: Extracting #7: cost 203 inf + 22865
198.664 * * [simplify]: Extracting #8: cost 20 inf + 80361
198.686 * * [simplify]: Extracting #9: cost 1 inf + 86618
198.707 * * [simplify]: Extracting #10: cost 0 inf + 86953
198.730 * [simplify]: Simplified to (log (sqrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))
198.730 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (exp (log (sqrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))
198.730 * * * * [progress]: [ 116 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (log (exp (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
198.730 * [simplify]: Simplifying (exp (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
198.731 * * [simplify]: iters left: 6 (18 enodes)
198.735 * * [simplify]: iters left: 5 (69 enodes)
198.749 * * [simplify]: iters left: 4 (169 enodes)
198.900 * * [simplify]: Extracting #0: cost 1 inf + 0
198.900 * * [simplify]: Extracting #1: cost 3 inf + 0
198.900 * * [simplify]: Extracting #2: cost 5 inf + 0
198.900 * * [simplify]: Extracting #3: cost 14 inf + 0
198.901 * * [simplify]: Extracting #4: cost 180 inf + 1
198.903 * * [simplify]: Extracting #5: cost 310 inf + 172
198.905 * * [simplify]: Extracting #6: cost 287 inf + 1782
198.914 * * [simplify]: Extracting #7: cost 203 inf + 22865
198.938 * * [simplify]: Extracting #8: cost 20 inf + 80361
198.957 * * [simplify]: Extracting #9: cost 1 inf + 86618
198.995 * * [simplify]: Extracting #10: cost 0 inf + 86953
199.036 * [simplify]: Simplified to (exp (sqrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))
199.036 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (log (exp (sqrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))
199.037 * * * * [progress]: [ 117 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (* (cbrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (cbrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (cbrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
199.037 * [simplify]: Simplifying (* (cbrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (cbrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
199.038 * * [simplify]: iters left: 6 (19 enodes)
199.048 * * [simplify]: iters left: 5 (72 enodes)
199.075 * * [simplify]: iters left: 4 (172 enodes)
199.197 * * [simplify]: Extracting #0: cost 1 inf + 0
199.197 * * [simplify]: Extracting #1: cost 3 inf + 0
199.197 * * [simplify]: Extracting #2: cost 5 inf + 0
199.197 * * [simplify]: Extracting #3: cost 7 inf + 0
199.197 * * [simplify]: Extracting #4: cost 16 inf + 0
199.197 * * [simplify]: Extracting #5: cost 184 inf + 1
199.198 * * [simplify]: Extracting #6: cost 312 inf + 296
199.200 * * [simplify]: Extracting #7: cost 283 inf + 2768
199.204 * * [simplify]: Extracting #8: cost 197 inf + 25130
199.219 * * [simplify]: Extracting #9: cost 17 inf + 81028
199.242 * * [simplify]: Extracting #10: cost 2 inf + 85816
199.261 * * [simplify]: Extracting #11: cost 0 inf + 86705
199.281 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (cbrt (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))
199.281 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (* (cbrt (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (cbrt (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (cbrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
199.282 * [simplify]: Simplifying (cbrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
199.282 * * [simplify]: iters left: 6 (18 enodes)
199.287 * * [simplify]: iters left: 5 (69 enodes)
199.300 * * [simplify]: iters left: 4 (169 enodes)
199.445 * * [simplify]: Extracting #0: cost 1 inf + 0
199.445 * * [simplify]: Extracting #1: cost 3 inf + 0
199.445 * * [simplify]: Extracting #2: cost 5 inf + 0
199.445 * * [simplify]: Extracting #3: cost 14 inf + 0
199.446 * * [simplify]: Extracting #4: cost 180 inf + 1
199.448 * * [simplify]: Extracting #5: cost 310 inf + 172
199.450 * * [simplify]: Extracting #6: cost 287 inf + 1782
199.458 * * [simplify]: Extracting #7: cost 203 inf + 22865
199.490 * * [simplify]: Extracting #8: cost 20 inf + 80361
199.528 * * [simplify]: Extracting #9: cost 1 inf + 86628
199.553 * * [simplify]: Extracting #10: cost 0 inf + 86973
199.576 * [simplify]: Simplified to (cbrt (sqrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))
199.576 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (* (cbrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (cbrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (cbrt (sqrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))
199.577 * * * * [progress]: [ 118 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (cbrt (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
199.577 * [simplify]: Simplifying (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
199.577 * * [simplify]: iters left: 6 (19 enodes)
199.583 * * [simplify]: iters left: 5 (71 enodes)
199.610 * * [simplify]: iters left: 4 (182 enodes)
199.724 * * [simplify]: Extracting #0: cost 1 inf + 0
199.724 * * [simplify]: Extracting #1: cost 12 inf + 0
199.724 * * [simplify]: Extracting #2: cost 35 inf + 1
199.724 * * [simplify]: Extracting #3: cost 223 inf + 3
199.726 * * [simplify]: Extracting #4: cost 323 inf + 503
199.728 * * [simplify]: Extracting #5: cost 294 inf + 3017
199.731 * * [simplify]: Extracting #6: cost 291 inf + 3102
199.743 * * [simplify]: Extracting #7: cost 211 inf + 24644
199.759 * * [simplify]: Extracting #8: cost 24 inf + 85978
199.790 * * [simplify]: Extracting #9: cost 0 inf + 96149
199.812 * * [simplify]: Extracting #10: cost 0 inf + 96148
199.855 * [simplify]: Simplified to (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2))) (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2)))))) (+ (* (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2))) (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2))))))
199.855 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (cbrt (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2))) (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2)))))) (+ (* (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2))) (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* J 2)) (/ (/ U (cos (/ K 2))) (* J 2)))))))))
199.856 * * * * [progress]: [ 119 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (* (cbrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (cbrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
199.856 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
199.857 * * [simplify]: iters left: 6 (19 enodes)
199.867 * * [simplify]: iters left: 5 (73 enodes)
199.883 * * [simplify]: iters left: 4 (173 enodes)
200.012 * * [simplify]: Extracting #0: cost 1 inf + 0
200.012 * * [simplify]: Extracting #1: cost 4 inf + 0
200.012 * * [simplify]: Extracting #2: cost 7 inf + 0
200.012 * * [simplify]: Extracting #3: cost 16 inf + 0
200.013 * * [simplify]: Extracting #4: cost 183 inf + 1
200.014 * * [simplify]: Extracting #5: cost 310 inf + 504
200.015 * * [simplify]: Extracting #6: cost 283 inf + 2810
200.019 * * [simplify]: Extracting #7: cost 213 inf + 19591
200.035 * * [simplify]: Extracting #8: cost 15 inf + 85341
200.062 * * [simplify]: Extracting #9: cost 0 inf + 90296
200.082 * [simplify]: Simplified to (fabs (cbrt (+ (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (- 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))))
200.082 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (fabs (cbrt (+ (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (- 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) (sqrt (cbrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
200.082 * [simplify]: Simplifying (sqrt (cbrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
200.082 * * [simplify]: iters left: 6 (18 enodes)
200.092 * * [simplify]: iters left: 5 (69 enodes)
200.117 * * [simplify]: iters left: 4 (169 enodes)
200.240 * * [simplify]: Extracting #0: cost 1 inf + 0
200.240 * * [simplify]: Extracting #1: cost 3 inf + 0
200.240 * * [simplify]: Extracting #2: cost 5 inf + 0
200.240 * * [simplify]: Extracting #3: cost 14 inf + 0
200.240 * * [simplify]: Extracting #4: cost 180 inf + 1
200.242 * * [simplify]: Extracting #5: cost 310 inf + 172
200.249 * * [simplify]: Extracting #6: cost 287 inf + 1782
200.257 * * [simplify]: Extracting #7: cost 203 inf + 22865
200.289 * * [simplify]: Extracting #8: cost 20 inf + 80441
200.328 * * [simplify]: Extracting #9: cost 1 inf + 86708
200.367 * * [simplify]: Extracting #10: cost 0 inf + 87053
200.407 * [simplify]: Simplified to (sqrt (cbrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))
200.407 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (* (cbrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (cbrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))
200.408 * * * * [progress]: [ 120 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
200.409 * [simplify]: Simplifying (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
200.409 * * [simplify]: iters left: 6 (18 enodes)
200.420 * * [simplify]: iters left: 5 (69 enodes)
200.443 * * [simplify]: iters left: 4 (169 enodes)
200.534 * * [simplify]: Extracting #0: cost 1 inf + 0
200.534 * * [simplify]: Extracting #1: cost 3 inf + 0
200.534 * * [simplify]: Extracting #2: cost 5 inf + 0
200.534 * * [simplify]: Extracting #3: cost 14 inf + 0
200.535 * * [simplify]: Extracting #4: cost 180 inf + 1
200.536 * * [simplify]: Extracting #5: cost 310 inf + 172
200.537 * * [simplify]: Extracting #6: cost 287 inf + 1782
200.541 * * [simplify]: Extracting #7: cost 203 inf + 22865
200.568 * * [simplify]: Extracting #8: cost 20 inf + 80361
200.591 * * [simplify]: Extracting #9: cost 1 inf + 86588
200.623 * * [simplify]: Extracting #10: cost 0 inf + 86893
200.662 * [simplify]: Simplified to (sqrt (sqrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))
200.663 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
200.664 * [simplify]: Simplifying (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
200.664 * * [simplify]: iters left: 6 (18 enodes)
200.674 * * [simplify]: iters left: 5 (69 enodes)
200.697 * * [simplify]: iters left: 4 (169 enodes)
200.785 * * [simplify]: Extracting #0: cost 1 inf + 0
200.785 * * [simplify]: Extracting #1: cost 3 inf + 0
200.785 * * [simplify]: Extracting #2: cost 5 inf + 0
200.785 * * [simplify]: Extracting #3: cost 14 inf + 0
200.786 * * [simplify]: Extracting #4: cost 180 inf + 1
200.788 * * [simplify]: Extracting #5: cost 310 inf + 172
200.791 * * [simplify]: Extracting #6: cost 287 inf + 1782
200.799 * * [simplify]: Extracting #7: cost 203 inf + 22865
200.815 * * [simplify]: Extracting #8: cost 20 inf + 80361
200.845 * * [simplify]: Extracting #9: cost 1 inf + 86588
200.864 * * [simplify]: Extracting #10: cost 0 inf + 86893
200.890 * [simplify]: Simplified to (sqrt (sqrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))
200.890 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))
200.890 * * * * [progress]: [ 121 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt 1) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
200.890 * [simplify]: Simplifying (sqrt 1)
200.890 * * [simplify]: iters left: 1 (2 enodes)
200.893 * * [simplify]: Extracting #0: cost 1 inf + 0
200.893 * * [simplify]: Extracting #1: cost 0 inf + 1
200.893 * [simplify]: Simplified to 1
200.893 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* 1 (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
200.894 * [simplify]: Simplifying (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
200.894 * * [simplify]: iters left: 6 (17 enodes)
200.898 * * [simplify]: iters left: 5 (66 enodes)
200.911 * * [simplify]: iters left: 4 (168 enodes)
201.020 * * [simplify]: Extracting #0: cost 1 inf + 0
201.020 * * [simplify]: Extracting #1: cost 3 inf + 0
201.020 * * [simplify]: Extracting #2: cost 12 inf + 0
201.020 * * [simplify]: Extracting #3: cost 186 inf + 1
201.021 * * [simplify]: Extracting #4: cost 310 inf + 544
201.023 * * [simplify]: Extracting #5: cost 287 inf + 2359
201.026 * * [simplify]: Extracting #6: cost 218 inf + 18238
201.045 * * [simplify]: Extracting #7: cost 31 inf + 76688
201.078 * * [simplify]: Extracting #8: cost 0 inf + 87566
201.097 * * [simplify]: Extracting #9: cost 0 inf + 87410
201.132 * [simplify]: Simplified to (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
201.132 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* 1 (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))
201.133 * * * * [progress]: [ 122 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))) (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))>
201.133 * [simplify]: Simplifying (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))
201.134 * * [simplify]: iters left: 6 (30 enodes)
201.152 * * [simplify]: iters left: 5 (153 enodes)
201.213 * * [simplify]: iters left: 4 (477 enodes)
201.622 * * [simplify]: Extracting #0: cost 1 inf + 0
201.622 * * [simplify]: Extracting #1: cost 3 inf + 0
201.622 * * [simplify]: Extracting #2: cost 16 inf + 0
201.623 * * [simplify]: Extracting #3: cost 190 inf + 0
201.627 * * [simplify]: Extracting #4: cost 635 inf + 654
201.634 * * [simplify]: Extracting #5: cost 809 inf + 2972
201.642 * * [simplify]: Extracting #6: cost 795 inf + 6319
201.653 * * [simplify]: Extracting #7: cost 751 inf + 18650
201.704 * * [simplify]: Extracting #8: cost 327 inf + 173510
201.828 * * [simplify]: Extracting #9: cost 14 inf + 303401
201.969 * * [simplify]: Extracting #10: cost 0 inf + 307494
202.115 * * [simplify]: Extracting #11: cost 0 inf + 307453
202.284 * [simplify]: Simplified to (sqrt (+ (+ (* (* (* U U) (* U U)) (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* U U) (* U U))) (* (* (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))))))
202.284 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (+ (* (* (* U U) (* U U)) (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* U U) (* U U))) (* (* (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2)))))) (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
202.286 * [simplify]: Simplifying (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
202.286 * * [simplify]: iters left: 6 (22 enodes)
202.300 * * [simplify]: iters left: 5 (109 enodes)
202.337 * * [simplify]: iters left: 4 (366 enodes)
202.751 * * [simplify]: Extracting #0: cost 1 inf + 0
202.751 * * [simplify]: Extracting #1: cost 3 inf + 0
202.751 * * [simplify]: Extracting #2: cost 88 inf + 0
202.753 * * [simplify]: Extracting #3: cost 537 inf + 4
202.756 * * [simplify]: Extracting #4: cost 778 inf + 996
202.760 * * [simplify]: Extracting #5: cost 797 inf + 2294
202.766 * * [simplify]: Extracting #6: cost 731 inf + 14971
202.815 * * [simplify]: Extracting #7: cost 351 inf + 146901
202.918 * * [simplify]: Extracting #8: cost 23 inf + 288807
203.093 * * [simplify]: Extracting #9: cost 0 inf + 299818
203.241 * * [simplify]: Extracting #10: cost 0 inf + 299817
203.373 * [simplify]: Simplified to (sqrt (+ (* (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2)))) (* (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2)))))))
203.373 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))) (sqrt (+ (* (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2)))) (* (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))))))))))
203.373 * * * * [progress]: [ 123 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
203.373 * [simplify]: Simplifying (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
203.374 * * [simplify]: iters left: 6 (25 enodes)
203.381 * * [simplify]: iters left: 5 (122 enodes)
203.413 * * [simplify]: iters left: 4 (398 enodes)
203.785 * * [simplify]: Extracting #0: cost 1 inf + 0
203.785 * * [simplify]: Extracting #1: cost 3 inf + 0
203.785 * * [simplify]: Extracting #2: cost 12 inf + 0
203.785 * * [simplify]: Extracting #3: cost 179 inf + 0
203.789 * * [simplify]: Extracting #4: cost 612 inf + 614
203.803 * * [simplify]: Extracting #5: cost 703 inf + 4557
203.811 * * [simplify]: Extracting #6: cost 716 inf + 8129
203.843 * * [simplify]: Extracting #7: cost 434 inf + 92585
203.950 * * [simplify]: Extracting #8: cost 27 inf + 246007
204.080 * * [simplify]: Extracting #9: cost 0 inf + 256538
204.199 * * [simplify]: Extracting #10: cost 0 inf + 256537
204.267 * [simplify]: Simplified to (sqrt (+ (* (* U U) (+ (* U U) (* (* U U) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (* (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2)))) (- 1 (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))))
204.267 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* U U) (+ (* U U) (* (* U U) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (* (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2)))) (- 1 (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))))) (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
204.268 * [simplify]: Simplifying (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
204.269 * * [simplify]: iters left: 6 (18 enodes)
204.279 * * [simplify]: iters left: 5 (87 enodes)
204.325 * * [simplify]: iters left: 4 (321 enodes)
204.735 * * [simplify]: Extracting #0: cost 1 inf + 0
204.735 * * [simplify]: Extracting #1: cost 3 inf + 0
204.735 * * [simplify]: Extracting #2: cost 87 inf + 0
204.736 * * [simplify]: Extracting #3: cost 442 inf + 87
204.744 * * [simplify]: Extracting #4: cost 693 inf + 1414
204.759 * * [simplify]: Extracting #5: cost 562 inf + 40987
204.798 * * [simplify]: Extracting #6: cost 157 inf + 174650
204.910 * * [simplify]: Extracting #7: cost 2 inf + 235688
204.997 * * [simplify]: Extracting #8: cost 0 inf + 236206
205.085 * * [simplify]: Extracting #9: cost 0 inf + 236163
205.197 * [simplify]: Simplified to (sqrt (+ (* (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2)))) (* (/ (* U (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2)))) (* (cos (/ K 2)) (* J 2))) (/ (* U (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2)))) (* (cos (/ K 2)) (* J 2))))))
205.197 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (+ (* (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2)))) (* (/ (* U (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2)))) (* (cos (/ K 2)) (* J 2))) (/ (* U (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2)))) (* (cos (/ K 2)) (* J 2)))))))))
205.198 * * * * [progress]: [ 124 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))) (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))>
205.198 * [simplify]: Simplifying (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))
205.199 * * [simplify]: iters left: 6 (31 enodes)
205.218 * * [simplify]: iters left: 5 (156 enodes)
205.269 * * [simplify]: iters left: 4 (480 enodes)
205.785 * * [simplify]: Extracting #0: cost 1 inf + 0
205.785 * * [simplify]: Extracting #1: cost 3 inf + 0
205.785 * * [simplify]: Extracting #2: cost 16 inf + 0
205.786 * * [simplify]: Extracting #3: cost 276 inf + 0
205.791 * * [simplify]: Extracting #4: cost 763 inf + 619
205.799 * * [simplify]: Extracting #5: cost 870 inf + 5144
205.805 * * [simplify]: Extracting #6: cost 840 inf + 9397
205.812 * * [simplify]: Extracting #7: cost 804 inf + 20023
205.857 * * [simplify]: Extracting #8: cost 401 inf + 174691
205.956 * * [simplify]: Extracting #9: cost 47 inf + 327175
206.099 * * [simplify]: Extracting #10: cost 0 inf + 340520
206.246 * * [simplify]: Extracting #11: cost 0 inf + 338189
206.422 * [simplify]: Simplified to (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (+ U (* U (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* U U))) (* (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) 8))))
206.422 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (+ U (* U (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* U U))) (* (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) 8)))) (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
206.423 * [simplify]: Simplifying (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
206.424 * * [simplify]: iters left: 6 (22 enodes)
206.435 * * [simplify]: iters left: 5 (108 enodes)
206.462 * * [simplify]: iters left: 4 (347 enodes)
206.871 * * [simplify]: Extracting #0: cost 1 inf + 0
206.872 * * [simplify]: Extracting #1: cost 3 inf + 0
206.872 * * [simplify]: Extracting #2: cost 81 inf + 0
206.873 * * [simplify]: Extracting #3: cost 429 inf + 45
206.875 * * [simplify]: Extracting #4: cost 642 inf + 1627
206.888 * * [simplify]: Extracting #5: cost 538 inf + 36586
206.930 * * [simplify]: Extracting #6: cost 158 inf + 169720
207.028 * * [simplify]: Extracting #7: cost 6 inf + 234335
207.133 * * [simplify]: Extracting #8: cost 0 inf + 236924
207.251 * [simplify]: Simplified to (sqrt (* (+ (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (* (* J 2) (cos (/ K 2)))))
207.251 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))) (sqrt (* (+ (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (* (* J 2) (cos (/ K 2))))))))
207.252 * * * * [progress]: [ 125 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
207.252 * [simplify]: Simplifying (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
207.252 * * [simplify]: iters left: 6 (26 enodes)
207.260 * * [simplify]: iters left: 5 (124 enodes)
207.296 * * [simplify]: iters left: 4 (395 enodes)
207.719 * * [simplify]: Extracting #0: cost 1 inf + 0
207.719 * * [simplify]: Extracting #1: cost 3 inf + 0
207.719 * * [simplify]: Extracting #2: cost 12 inf + 0
207.720 * * [simplify]: Extracting #3: cost 226 inf + 0
207.724 * * [simplify]: Extracting #4: cost 682 inf + 862
207.732 * * [simplify]: Extracting #5: cost 721 inf + 6620
207.741 * * [simplify]: Extracting #6: cost 699 inf + 8630
207.750 * * [simplify]: Extracting #7: cost 636 inf + 25851
207.810 * * [simplify]: Extracting #8: cost 148 inf + 193478
207.899 * * [simplify]: Extracting #9: cost 4 inf + 251860
207.979 * * [simplify]: Extracting #10: cost 0 inf + 253677
208.083 * [simplify]: Simplified to (sqrt (+ (* (/ (/ (/ (* U U) 2) J) (cos (/ K 2))) (+ (* (/ (/ (/ (* U U) 2) J) (cos (/ K 2))) (/ (/ (/ (* U U) 2) J) (cos (/ K 2)))) (* U U))) (* (* (cos (/ K 2)) (* J 2)) (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2)))))))
208.083 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (/ (/ (/ (* U U) 2) J) (cos (/ K 2))) (+ (* (/ (/ (/ (* U U) 2) J) (cos (/ K 2))) (/ (/ (/ (* U U) 2) J) (cos (/ K 2)))) (* U U))) (* (* (cos (/ K 2)) (* J 2)) (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))))))) (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
208.084 * [simplify]: Simplifying (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
208.084 * * [simplify]: iters left: 6 (18 enodes)
208.090 * * [simplify]: iters left: 5 (86 enodes)
208.117 * * [simplify]: iters left: 4 (300 enodes)
208.418 * * [simplify]: Extracting #0: cost 1 inf + 0
208.419 * * [simplify]: Extracting #1: cost 3 inf + 0
208.419 * * [simplify]: Extracting #2: cost 75 inf + 0
208.421 * * [simplify]: Extracting #3: cost 342 inf + 46
208.425 * * [simplify]: Extracting #4: cost 590 inf + 1251
208.439 * * [simplify]: Extracting #5: cost 381 inf + 66188
208.500 * * [simplify]: Extracting #6: cost 18 inf + 185694
208.593 * * [simplify]: Extracting #7: cost 0 inf + 191433
208.679 * * [simplify]: Extracting #8: cost 0 inf + 191354
208.745 * [simplify]: Simplified to (sqrt (+ (* (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (* (cos (/ K 2)) (* J 2))) (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (* (cos (/ K 2)) (* J 2))))))
208.745 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (+ (* (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (* (cos (/ K 2)) (* J 2))) (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (* (cos (/ K 2)) (* J 2)))))))))
208.746 * * * * [progress]: [ 126 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))) (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))>
208.747 * [simplify]: Simplifying (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))
208.747 * * [simplify]: iters left: 6 (31 enodes)
208.766 * * [simplify]: iters left: 5 (156 enodes)
208.835 * * [simplify]: iters left: 4 (492 enodes)
209.682 * * [simplify]: Extracting #0: cost 1 inf + 0
209.682 * * [simplify]: Extracting #1: cost 3 inf + 0
209.682 * * [simplify]: Extracting #2: cost 16 inf + 0
209.684 * * [simplify]: Extracting #3: cost 301 inf + 0
209.698 * * [simplify]: Extracting #4: cost 789 inf + 701
209.706 * * [simplify]: Extracting #5: cost 886 inf + 5925
209.716 * * [simplify]: Extracting #6: cost 864 inf + 9479
209.728 * * [simplify]: Extracting #7: cost 824 inf + 19685
209.785 * * [simplify]: Extracting #8: cost 439 inf + 153465
209.918 * * [simplify]: Extracting #9: cost 50 inf + 324542
210.117 * * [simplify]: Extracting #10: cost 0 inf + 351665
210.281 * [simplify]: Simplified to (sqrt (+ (* U (* (* (+ U (* U (+ (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (/ (/ U (* J 2)) (cos (/ K 2)))) U)) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* (* J 2) (cos (/ K 2))) (- 1 (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))))))
210.281 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* U (* (* (+ U (* U (+ (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (/ (/ U (* J 2)) (cos (/ K 2)))) U)) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* (* J 2) (cos (/ K 2))) (- 1 (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))))))) (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
210.282 * [simplify]: Simplifying (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
210.282 * * [simplify]: iters left: 6 (22 enodes)
210.289 * * [simplify]: iters left: 5 (108 enodes)
210.331 * * [simplify]: iters left: 4 (347 enodes)
210.684 * * [simplify]: Extracting #0: cost 1 inf + 0
210.684 * * [simplify]: Extracting #1: cost 3 inf + 0
210.684 * * [simplify]: Extracting #2: cost 81 inf + 0
210.686 * * [simplify]: Extracting #3: cost 429 inf + 45
210.691 * * [simplify]: Extracting #4: cost 642 inf + 1627
210.706 * * [simplify]: Extracting #5: cost 538 inf + 36586
210.758 * * [simplify]: Extracting #6: cost 158 inf + 169720
210.866 * * [simplify]: Extracting #7: cost 6 inf + 234335
210.986 * * [simplify]: Extracting #8: cost 0 inf + 236924
211.102 * [simplify]: Simplified to (sqrt (* (+ (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (* (* J 2) (cos (/ K 2)))))
211.102 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))) (sqrt (* (+ (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (* (* J 2) (cos (/ K 2))))))))
211.103 * * * * [progress]: [ 127 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
211.103 * [simplify]: Simplifying (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
211.104 * * [simplify]: iters left: 6 (26 enodes)
211.119 * * [simplify]: iters left: 5 (124 enodes)
211.175 * * [simplify]: iters left: 4 (404 enodes)
211.652 * * [simplify]: Extracting #0: cost 1 inf + 0
211.652 * * [simplify]: Extracting #1: cost 3 inf + 0
211.652 * * [simplify]: Extracting #2: cost 12 inf + 0
211.653 * * [simplify]: Extracting #3: cost 240 inf + 0
211.657 * * [simplify]: Extracting #4: cost 697 inf + 1513
211.665 * * [simplify]: Extracting #5: cost 731 inf + 7717
211.674 * * [simplify]: Extracting #6: cost 715 inf + 8915
211.686 * * [simplify]: Extracting #7: cost 657 inf + 24804
211.743 * * [simplify]: Extracting #8: cost 168 inf + 190623
211.849 * * [simplify]: Extracting #9: cost 4 inf + 255732
211.933 * * [simplify]: Extracting #10: cost 0 inf + 257228
212.036 * [simplify]: Simplified to (sqrt (+ (* (* U U) (* U (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* J (* 2 (cos (/ K 2)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))))))
212.036 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* U U) (* U (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* J (* 2 (cos (/ K 2)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))))) (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
212.037 * [simplify]: Simplifying (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
212.037 * * [simplify]: iters left: 6 (18 enodes)
212.048 * * [simplify]: iters left: 5 (86 enodes)
212.075 * * [simplify]: iters left: 4 (300 enodes)
212.330 * * [simplify]: Extracting #0: cost 1 inf + 0
212.330 * * [simplify]: Extracting #1: cost 3 inf + 0
212.330 * * [simplify]: Extracting #2: cost 75 inf + 0
212.333 * * [simplify]: Extracting #3: cost 342 inf + 46
212.337 * * [simplify]: Extracting #4: cost 590 inf + 1251
212.360 * * [simplify]: Extracting #5: cost 381 inf + 66188
212.435 * * [simplify]: Extracting #6: cost 18 inf + 185694
212.503 * * [simplify]: Extracting #7: cost 0 inf + 191433
212.592 * * [simplify]: Extracting #8: cost 0 inf + 191354
212.678 * [simplify]: Simplified to (sqrt (+ (* (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (* (cos (/ K 2)) (* J 2))) (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (* (cos (/ K 2)) (* J 2))))))
212.678 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (+ (* (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (* (cos (/ K 2)) (* J 2))) (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))) (* (cos (/ K 2)) (* J 2)))))))))
212.678 * * * * [progress]: [ 128 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))>
212.679 * [simplify]: Simplifying (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))
212.679 * * [simplify]: iters left: 6 (31 enodes)
212.689 * * [simplify]: iters left: 5 (157 enodes)
212.753 * * [simplify]: Extracting #0: cost 1 inf + 0
212.753 * * [simplify]: Extracting #1: cost 3 inf + 0
212.754 * * [simplify]: Extracting #2: cost 6 inf + 0
212.754 * * [simplify]: Extracting #3: cost 51 inf + 0
212.754 * * [simplify]: Extracting #4: cost 150 inf + 2
212.760 * * [simplify]: Extracting #5: cost 170 inf + 1520
212.761 * * [simplify]: Extracting #6: cost 167 inf + 1983
212.766 * * [simplify]: Extracting #7: cost 120 inf + 13775
212.774 * * [simplify]: Extracting #8: cost 52 inf + 37967
212.787 * * [simplify]: Extracting #9: cost 5 inf + 60670
212.802 * * [simplify]: Extracting #10: cost 1 inf + 62157
212.831 * * [simplify]: Extracting #11: cost 0 inf + 62360
212.860 * * [simplify]: Extracting #12: cost 0 inf + 62189
212.875 * [simplify]: Simplified to (sqrt (+ (* (* (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1) (* U U)) (* U (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2)))))))
212.875 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1) (* U U)) (* U (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
212.876 * [simplify]: Simplifying (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
212.876 * * [simplify]: iters left: 6 (22 enodes)
212.883 * * [simplify]: iters left: 5 (110 enodes)
212.913 * * [simplify]: iters left: 4 (364 enodes)
213.262 * * [simplify]: Extracting #0: cost 1 inf + 0
213.262 * * [simplify]: Extracting #1: cost 3 inf + 0
213.262 * * [simplify]: Extracting #2: cost 72 inf + 0
213.265 * * [simplify]: Extracting #3: cost 471 inf + 46
213.270 * * [simplify]: Extracting #4: cost 726 inf + 1378
213.277 * * [simplify]: Extracting #5: cost 751 inf + 2662
213.288 * * [simplify]: Extracting #6: cost 676 inf + 18361
213.359 * * [simplify]: Extracting #7: cost 245 inf + 171754
213.460 * * [simplify]: Extracting #8: cost 12 inf + 271340
213.586 * * [simplify]: Extracting #9: cost 0 inf + 276828
213.695 * [simplify]: Simplified to (sqrt (* (* (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) 8) (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)))
213.695 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))) (sqrt (* (* (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) 8) (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J))))))
213.696 * * * * [progress]: [ 129 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
213.697 * [simplify]: Simplifying (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
213.697 * * [simplify]: iters left: 6 (26 enodes)
213.712 * * [simplify]: iters left: 5 (126 enodes)
213.756 * * [simplify]: iters left: 4 (420 enodes)
214.177 * * [simplify]: Extracting #0: cost 1 inf + 0
214.177 * * [simplify]: Extracting #1: cost 3 inf + 0
214.177 * * [simplify]: Extracting #2: cost 12 inf + 0
214.177 * * [simplify]: Extracting #3: cost 240 inf + 0
214.180 * * [simplify]: Extracting #4: cost 708 inf + 782
214.184 * * [simplify]: Extracting #5: cost 766 inf + 5253
214.189 * * [simplify]: Extracting #6: cost 728 inf + 9412
214.211 * * [simplify]: Extracting #7: cost 512 inf + 71242
214.287 * * [simplify]: Extracting #8: cost 72 inf + 235679
214.376 * * [simplify]: Extracting #9: cost 0 inf + 268020
214.491 * * [simplify]: Extracting #10: cost 0 inf + 267776
214.625 * [simplify]: Simplified to (sqrt (+ (* (* (/ U 2) (/ (/ U J) (cos (/ K 2)))) (+ (* (* (/ U 2) (/ (/ U J) (cos (/ K 2)))) (* (/ U 2) (/ (/ U J) (cos (/ K 2))))) (* U U))) (* (* (- 1 (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* 2 (cos (/ K 2))) J))))
214.626 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (/ U 2) (/ (/ U J) (cos (/ K 2)))) (+ (* (* (/ U 2) (/ (/ U J) (cos (/ K 2)))) (* (/ U 2) (/ (/ U J) (cos (/ K 2))))) (* U U))) (* (* (- 1 (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* 2 (cos (/ K 2))) J)))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
214.627 * [simplify]: Simplifying (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
214.627 * * [simplify]: iters left: 6 (18 enodes)
214.638 * * [simplify]: iters left: 5 (88 enodes)
214.684 * * [simplify]: iters left: 4 (312 enodes)
214.959 * * [simplify]: Extracting #0: cost 1 inf + 0
214.960 * * [simplify]: Extracting #1: cost 3 inf + 0
214.960 * * [simplify]: Extracting #2: cost 60 inf + 0
214.962 * * [simplify]: Extracting #3: cost 364 inf + 126
214.966 * * [simplify]: Extracting #4: cost 617 inf + 1241
214.991 * * [simplify]: Extracting #5: cost 455 inf + 52748
215.063 * * [simplify]: Extracting #6: cost 41 inf + 187167
215.156 * * [simplify]: Extracting #7: cost 0 inf + 200437
215.231 * * [simplify]: Extracting #8: cost 0 inf + 200351
215.310 * [simplify]: Simplified to (sqrt (* (+ (* (* (cos (/ K 2)) J) 2) (* (* (* (* (cos (/ K 2)) J) 2) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2))))
215.310 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (* (+ (* (* (cos (/ K 2)) J) 2) (* (* (* (* (cos (/ K 2)) J) 2) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)))))))
215.311 * * * * [progress]: [ 130 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))>
215.312 * [simplify]: Simplifying (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))
215.312 * * [simplify]: iters left: 6 (29 enodes)
215.331 * * [simplify]: iters left: 5 (148 enodes)
215.371 * * [simplify]: iters left: 4 (464 enodes)
215.900 * * [simplify]: Extracting #0: cost 1 inf + 0
215.900 * * [simplify]: Extracting #1: cost 3 inf + 0
215.900 * * [simplify]: Extracting #2: cost 16 inf + 0
215.901 * * [simplify]: Extracting #3: cost 340 inf + 0
215.912 * * [simplify]: Extracting #4: cost 844 inf + 703
215.921 * * [simplify]: Extracting #5: cost 870 inf + 8036
215.931 * * [simplify]: Extracting #6: cost 861 inf + 9207
215.954 * * [simplify]: Extracting #7: cost 686 inf + 63187
216.052 * * [simplify]: Extracting #8: cost 227 inf + 250751
216.188 * * [simplify]: Extracting #9: cost 6 inf + 349560
216.337 * * [simplify]: Extracting #10: cost 0 inf + 350355
216.541 * * [simplify]: Extracting #11: cost 0 inf + 349946
216.685 * [simplify]: Simplified to (sqrt (+ (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* 4 (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* U U)) (* U U)))))
216.686 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* 4 (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* U U)) (* U U))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
216.686 * [simplify]: Simplifying (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
216.687 * * [simplify]: iters left: 6 (21 enodes)
216.693 * * [simplify]: iters left: 5 (103 enodes)
216.722 * * [simplify]: iters left: 4 (316 enodes)
217.006 * * [simplify]: Extracting #0: cost 1 inf + 0
217.006 * * [simplify]: Extracting #1: cost 3 inf + 0
217.006 * * [simplify]: Extracting #2: cost 67 inf + 0
217.007 * * [simplify]: Extracting #3: cost 351 inf + 87
217.010 * * [simplify]: Extracting #4: cost 555 inf + 1242
217.014 * * [simplify]: Extracting #5: cost 517 inf + 15418
217.045 * * [simplify]: Extracting #6: cost 223 inf + 122745
217.167 * * [simplify]: Extracting #7: cost 18 inf + 209274
217.257 * * [simplify]: Extracting #8: cost 0 inf + 204999
217.361 * * [simplify]: Extracting #9: cost 0 inf + 203984
217.449 * [simplify]: Simplified to (sqrt (* (* (cos (/ K 2)) J) (* (+ (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) 4)))
217.449 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* 4 (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* U U)) (* U U))))) (sqrt (* (* (cos (/ K 2)) J) (* (+ (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) 4))))))
217.450 * * * * [progress]: [ 131 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
217.450 * [simplify]: Simplifying (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
217.450 * * [simplify]: iters left: 6 (24 enodes)
217.462 * * [simplify]: iters left: 5 (117 enodes)
217.505 * * [simplify]: iters left: 4 (383 enodes)
218.030 * * [simplify]: Extracting #0: cost 1 inf + 0
218.030 * * [simplify]: Extracting #1: cost 3 inf + 0
218.030 * * [simplify]: Extracting #2: cost 12 inf + 0
218.031 * * [simplify]: Extracting #3: cost 271 inf + 0
218.035 * * [simplify]: Extracting #4: cost 728 inf + 129
218.050 * * [simplify]: Extracting #5: cost 738 inf + 4530
218.058 * * [simplify]: Extracting #6: cost 707 inf + 7394
218.086 * * [simplify]: Extracting #7: cost 498 inf + 72082
218.181 * * [simplify]: Extracting #8: cost 68 inf + 231189
218.257 * * [simplify]: Extracting #9: cost 2 inf + 260072
218.346 * * [simplify]: Extracting #10: cost 0 inf + 261162
218.436 * [simplify]: Simplified to (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (* (+ U (* U (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* U (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))
218.436 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (* (+ U (* U (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* U (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
218.436 * [simplify]: Simplifying (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
218.436 * * [simplify]: iters left: 6 (17 enodes)
218.443 * * [simplify]: iters left: 5 (79 enodes)
218.480 * * [simplify]: iters left: 4 (262 enodes)
218.714 * * [simplify]: Extracting #0: cost 1 inf + 0
218.714 * * [simplify]: Extracting #1: cost 3 inf + 0
218.714 * * [simplify]: Extracting #2: cost 58 inf + 0
218.715 * * [simplify]: Extracting #3: cost 238 inf + 45
218.720 * * [simplify]: Extracting #4: cost 476 inf + 624
218.729 * * [simplify]: Extracting #5: cost 254 inf + 58481
218.784 * * [simplify]: Extracting #6: cost 21 inf + 129572
218.828 * * [simplify]: Extracting #7: cost 0 inf + 136102
218.877 * * [simplify]: Extracting #8: cost 0 inf + 136099
218.918 * [simplify]: Simplified to (sqrt (+ (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2)))))
218.918 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (+ (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2))))))))
218.919 * * * * [progress]: [ 132 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))>
218.919 * [simplify]: Simplifying (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))
218.919 * * [simplify]: iters left: 6 (30 enodes)
218.937 * * [simplify]: iters left: 5 (148 enodes)
218.985 * * [simplify]: iters left: 4 (460 enodes)
219.513 * * [simplify]: Extracting #0: cost 1 inf + 0
219.513 * * [simplify]: Extracting #1: cost 3 inf + 0
219.513 * * [simplify]: Extracting #2: cost 16 inf + 0
219.514 * * [simplify]: Extracting #3: cost 349 inf + 0
219.520 * * [simplify]: Extracting #4: cost 854 inf + 500
219.528 * * [simplify]: Extracting #5: cost 896 inf + 5610
219.538 * * [simplify]: Extracting #6: cost 871 inf + 9002
219.574 * * [simplify]: Extracting #7: cost 588 inf + 98587
219.708 * * [simplify]: Extracting #8: cost 133 inf + 290010
219.876 * * [simplify]: Extracting #9: cost 10 inf + 351816
220.031 * * [simplify]: Extracting #10: cost 0 inf + 356867
220.219 * [simplify]: Simplified to (sqrt (+ (* (* U (+ U (* U (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)))))
220.219 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* U (+ U (* U (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
220.221 * [simplify]: Simplifying (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
220.221 * * [simplify]: iters left: 6 (21 enodes)
220.233 * * [simplify]: iters left: 5 (103 enodes)
220.282 * * [simplify]: iters left: 4 (316 enodes)
220.600 * * [simplify]: Extracting #0: cost 1 inf + 0
220.600 * * [simplify]: Extracting #1: cost 3 inf + 0
220.601 * * [simplify]: Extracting #2: cost 67 inf + 0
220.602 * * [simplify]: Extracting #3: cost 351 inf + 87
220.606 * * [simplify]: Extracting #4: cost 555 inf + 1242
220.615 * * [simplify]: Extracting #5: cost 517 inf + 15418
220.657 * * [simplify]: Extracting #6: cost 223 inf + 122745
220.738 * * [simplify]: Extracting #7: cost 18 inf + 209274
220.818 * * [simplify]: Extracting #8: cost 0 inf + 204999
220.906 * * [simplify]: Extracting #9: cost 0 inf + 203984
221.021 * [simplify]: Simplified to (sqrt (* (* (cos (/ K 2)) J) (* (+ (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) 4)))
221.022 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* U (+ U (* U (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))))) (sqrt (* (* (cos (/ K 2)) J) (* (+ (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) 4))))))
221.023 * * * * [progress]: [ 133 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
221.023 * [simplify]: Simplifying (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
221.024 * * [simplify]: iters left: 6 (25 enodes)
221.038 * * [simplify]: iters left: 5 (116 enodes)
221.079 * * [simplify]: iters left: 4 (374 enodes)
221.463 * * [simplify]: Extracting #0: cost 1 inf + 0
221.463 * * [simplify]: Extracting #1: cost 3 inf + 0
221.463 * * [simplify]: Extracting #2: cost 12 inf + 0
221.463 * * [simplify]: Extracting #3: cost 267 inf + 0
221.466 * * [simplify]: Extracting #4: cost 711 inf + 130
221.470 * * [simplify]: Extracting #5: cost 709 inf + 5505
221.474 * * [simplify]: Extracting #6: cost 686 inf + 7597
221.487 * * [simplify]: Extracting #7: cost 483 inf + 66401
221.551 * * [simplify]: Extracting #8: cost 90 inf + 211355
221.637 * * [simplify]: Extracting #9: cost 7 inf + 246917
221.737 * * [simplify]: Extracting #10: cost 0 inf + 250737
221.857 * [simplify]: Simplified to (sqrt (+ (* (+ U (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U)) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U)) (* 4 (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))
221.857 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (+ U (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U)) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U)) (* 4 (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
221.858 * [simplify]: Simplifying (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
221.858 * * [simplify]: iters left: 6 (17 enodes)
221.863 * * [simplify]: iters left: 5 (79 enodes)
221.885 * * [simplify]: iters left: 4 (262 enodes)
222.097 * * [simplify]: Extracting #0: cost 1 inf + 0
222.098 * * [simplify]: Extracting #1: cost 3 inf + 0
222.098 * * [simplify]: Extracting #2: cost 58 inf + 0
222.098 * * [simplify]: Extracting #3: cost 238 inf + 45
222.100 * * [simplify]: Extracting #4: cost 476 inf + 624
222.109 * * [simplify]: Extracting #5: cost 254 inf + 58481
222.146 * * [simplify]: Extracting #6: cost 21 inf + 129572
222.187 * * [simplify]: Extracting #7: cost 0 inf + 136102
222.230 * * [simplify]: Extracting #8: cost 0 inf + 136099
222.273 * [simplify]: Simplified to (sqrt (+ (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2)))))
222.273 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (+ (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2))))))))
222.274 * * * * [progress]: [ 134 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))>
222.275 * [simplify]: Simplifying (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))
222.275 * * [simplify]: iters left: 6 (31 enodes)
222.290 * * [simplify]: iters left: 5 (157 enodes)
222.342 * * [simplify]: iters left: 4 (496 enodes)
222.786 * * [simplify]: Extracting #0: cost 1 inf + 0
222.786 * * [simplify]: Extracting #1: cost 3 inf + 0
222.786 * * [simplify]: Extracting #2: cost 16 inf + 0
222.787 * * [simplify]: Extracting #3: cost 283 inf + 0
222.791 * * [simplify]: Extracting #4: cost 758 inf + 377
222.799 * * [simplify]: Extracting #5: cost 855 inf + 6550
222.808 * * [simplify]: Extracting #6: cost 825 inf + 10096
222.827 * * [simplify]: Extracting #7: cost 544 inf + 99875
222.923 * * [simplify]: Extracting #8: cost 73 inf + 305860
223.116 * * [simplify]: Extracting #9: cost 2 inf + 334797
223.291 * * [simplify]: Extracting #10: cost 0 inf + 334470
223.437 * * [simplify]: Extracting #11: cost 0 inf + 334299
223.605 * [simplify]: Simplified to (sqrt (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (* U U) (+ U (* U (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))) (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2)))))))
223.605 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (* U U) (+ U (* U (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))) (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
223.605 * [simplify]: Simplifying (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
223.606 * * [simplify]: iters left: 6 (22 enodes)
223.612 * * [simplify]: iters left: 5 (110 enodes)
223.648 * * [simplify]: iters left: 4 (364 enodes)
224.018 * * [simplify]: Extracting #0: cost 1 inf + 0
224.018 * * [simplify]: Extracting #1: cost 3 inf + 0
224.018 * * [simplify]: Extracting #2: cost 72 inf + 0
224.020 * * [simplify]: Extracting #3: cost 471 inf + 46
224.022 * * [simplify]: Extracting #4: cost 726 inf + 1378
224.026 * * [simplify]: Extracting #5: cost 751 inf + 2662
224.032 * * [simplify]: Extracting #6: cost 676 inf + 18361
224.084 * * [simplify]: Extracting #7: cost 245 inf + 171754
224.178 * * [simplify]: Extracting #8: cost 12 inf + 271340
224.341 * * [simplify]: Extracting #9: cost 0 inf + 276828
224.476 * [simplify]: Simplified to (sqrt (* (* (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) 8) (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)))
224.476 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))) (sqrt (* (* (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) 8) (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J))))))
224.478 * * * * [progress]: [ 135 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
224.478 * [simplify]: Simplifying (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
224.478 * * [simplify]: iters left: 6 (26 enodes)
224.492 * * [simplify]: iters left: 5 (126 enodes)
224.525 * * [simplify]: iters left: 4 (408 enodes)
224.946 * * [simplify]: Extracting #0: cost 1 inf + 0
224.947 * * [simplify]: Extracting #1: cost 3 inf + 0
224.947 * * [simplify]: Extracting #2: cost 12 inf + 0
224.947 * * [simplify]: Extracting #3: cost 225 inf + 0
224.949 * * [simplify]: Extracting #4: cost 692 inf + 657
224.953 * * [simplify]: Extracting #5: cost 754 inf + 5382
224.958 * * [simplify]: Extracting #6: cost 717 inf + 8913
224.976 * * [simplify]: Extracting #7: cost 496 inf + 73702
225.046 * * [simplify]: Extracting #8: cost 94 inf + 216674
225.156 * * [simplify]: Extracting #9: cost 1 inf + 256744
225.251 * * [simplify]: Extracting #10: cost 0 inf + 256929
225.385 * * [simplify]: Extracting #11: cost 0 inf + 256890
225.486 * [simplify]: Simplified to (sqrt (+ (* (* U (/ (/ U 2) (* (cos (/ K 2)) J))) (+ (* (* U (/ (/ U 2) (* (cos (/ K 2)) J))) (* U (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U U))) (* (* (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) 8) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J))))
225.486 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* U (/ (/ U 2) (* (cos (/ K 2)) J))) (+ (* (* U (/ (/ U 2) (* (cos (/ K 2)) J))) (* U (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U U))) (* (* (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) 8) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
225.487 * [simplify]: Simplifying (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
225.487 * * [simplify]: iters left: 6 (18 enodes)
225.492 * * [simplify]: iters left: 5 (88 enodes)
225.519 * * [simplify]: iters left: 4 (312 enodes)
225.839 * * [simplify]: Extracting #0: cost 1 inf + 0
225.839 * * [simplify]: Extracting #1: cost 3 inf + 0
225.840 * * [simplify]: Extracting #2: cost 60 inf + 0
225.842 * * [simplify]: Extracting #3: cost 364 inf + 126
225.846 * * [simplify]: Extracting #4: cost 617 inf + 1241
225.864 * * [simplify]: Extracting #5: cost 455 inf + 52748
225.937 * * [simplify]: Extracting #6: cost 41 inf + 187167
226.011 * * [simplify]: Extracting #7: cost 0 inf + 200437
226.072 * * [simplify]: Extracting #8: cost 0 inf + 200351
226.141 * [simplify]: Simplified to (sqrt (* (+ (* (* (cos (/ K 2)) J) 2) (* (* (* (* (cos (/ K 2)) J) 2) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2))))
226.141 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (* (+ (* (* (cos (/ K 2)) J) 2) (* (* (* (* (cos (/ K 2)) J) 2) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)))))))
226.141 * * * * [progress]: [ 136 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))>
226.142 * [simplify]: Simplifying (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))
226.142 * * [simplify]: iters left: 6 (30 enodes)
226.159 * * [simplify]: iters left: 5 (147 enodes)
226.211 * * [simplify]: iters left: 4 (461 enodes)
226.701 * * [simplify]: Extracting #0: cost 1 inf + 0
226.701 * * [simplify]: Extracting #1: cost 3 inf + 0
226.701 * * [simplify]: Extracting #2: cost 12 inf + 0
226.702 * * [simplify]: Extracting #3: cost 249 inf + 0
226.704 * * [simplify]: Extracting #4: cost 753 inf + 457
226.708 * * [simplify]: Extracting #5: cost 876 inf + 4817
226.716 * * [simplify]: Extracting #6: cost 859 inf + 7130
226.750 * * [simplify]: Extracting #7: cost 598 inf + 92573
226.868 * * [simplify]: Extracting #8: cost 96 inf + 301060
227.010 * * [simplify]: Extracting #9: cost 4 inf + 345034
227.208 * * [simplify]: Extracting #10: cost 0 inf + 346495
227.317 * [simplify]: Simplified to (sqrt (+ (* (* U (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (+ (* U (+ (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) U)) (* (- 1 (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))))))
227.317 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* U (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (+ (* U (+ (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) U)) (* (- 1 (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2)))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
227.318 * [simplify]: Simplifying (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
227.318 * * [simplify]: iters left: 6 (21 enodes)
227.325 * * [simplify]: iters left: 5 (103 enodes)
227.371 * * [simplify]: iters left: 4 (316 enodes)
227.645 * * [simplify]: Extracting #0: cost 1 inf + 0
227.645 * * [simplify]: Extracting #1: cost 3 inf + 0
227.645 * * [simplify]: Extracting #2: cost 67 inf + 0
227.647 * * [simplify]: Extracting #3: cost 351 inf + 87
227.651 * * [simplify]: Extracting #4: cost 555 inf + 1242
227.659 * * [simplify]: Extracting #5: cost 517 inf + 15418
227.685 * * [simplify]: Extracting #6: cost 223 inf + 122745
227.790 * * [simplify]: Extracting #7: cost 18 inf + 209274
227.858 * * [simplify]: Extracting #8: cost 0 inf + 204999
227.967 * * [simplify]: Extracting #9: cost 0 inf + 203984
228.072 * [simplify]: Simplified to (sqrt (* (* (cos (/ K 2)) J) (* (+ (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) 4)))
228.072 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* U (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (+ (* U (+ (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) U)) (* (- 1 (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2)))))) (sqrt (* (* (cos (/ K 2)) J) (* (+ (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) 4))))))
228.073 * * * * [progress]: [ 137 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
228.074 * [simplify]: Simplifying (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
228.074 * * [simplify]: iters left: 6 (25 enodes)
228.090 * * [simplify]: iters left: 5 (115 enodes)
228.145 * * [simplify]: iters left: 4 (370 enodes)
228.565 * * [simplify]: Extracting #0: cost 1 inf + 0
228.565 * * [simplify]: Extracting #1: cost 3 inf + 0
228.565 * * [simplify]: Extracting #2: cost 12 inf + 0
228.565 * * [simplify]: Extracting #3: cost 244 inf + 0
228.570 * * [simplify]: Extracting #4: cost 706 inf + 168
228.577 * * [simplify]: Extracting #5: cost 711 inf + 5386
228.584 * * [simplify]: Extracting #6: cost 693 inf + 6866
228.605 * * [simplify]: Extracting #7: cost 499 inf + 62501
228.670 * * [simplify]: Extracting #8: cost 89 inf + 215181
228.784 * * [simplify]: Extracting #9: cost 8 inf + 248832
228.878 * * [simplify]: Extracting #10: cost 0 inf + 252907
228.968 * [simplify]: Simplified to (sqrt (+ (* (+ U (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) U)) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) U)) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))))
228.968 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (+ U (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) U)) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) U)) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
228.968 * [simplify]: Simplifying (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
228.969 * * [simplify]: iters left: 6 (17 enodes)
228.974 * * [simplify]: iters left: 5 (79 enodes)
229.003 * * [simplify]: iters left: 4 (262 enodes)
229.274 * * [simplify]: Extracting #0: cost 1 inf + 0
229.274 * * [simplify]: Extracting #1: cost 3 inf + 0
229.275 * * [simplify]: Extracting #2: cost 58 inf + 0
229.276 * * [simplify]: Extracting #3: cost 238 inf + 45
229.279 * * [simplify]: Extracting #4: cost 476 inf + 624
229.297 * * [simplify]: Extracting #5: cost 254 inf + 58481
229.353 * * [simplify]: Extracting #6: cost 21 inf + 129572
229.398 * * [simplify]: Extracting #7: cost 0 inf + 136102
229.429 * * [simplify]: Extracting #8: cost 0 inf + 136099
229.463 * [simplify]: Simplified to (sqrt (+ (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2)))))
229.463 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (+ (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2))))))))
229.464 * * * * [progress]: [ 138 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))>
229.464 * [simplify]: Simplifying (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))
229.464 * * [simplify]: iters left: 6 (29 enodes)
229.480 * * [simplify]: iters left: 5 (148 enodes)
229.550 * * [simplify]: iters left: 4 (464 enodes)
230.154 * * [simplify]: Extracting #0: cost 1 inf + 0
230.154 * * [simplify]: Extracting #1: cost 3 inf + 0
230.154 * * [simplify]: Extracting #2: cost 16 inf + 0
230.155 * * [simplify]: Extracting #3: cost 341 inf + 0
230.157 * * [simplify]: Extracting #4: cost 841 inf + 417
230.171 * * [simplify]: Extracting #5: cost 869 inf + 8251
230.181 * * [simplify]: Extracting #6: cost 861 inf + 9294
230.204 * * [simplify]: Extracting #7: cost 684 inf + 65201
230.282 * * [simplify]: Extracting #8: cost 215 inf + 256974
230.427 * * [simplify]: Extracting #9: cost 10 inf + 350243
230.619 * * [simplify]: Extracting #10: cost 0 inf + 352003
230.825 * * [simplify]: Extracting #11: cost 0 inf + 351391
230.991 * * [simplify]: Extracting #12: cost 0 inf + 351352
231.147 * [simplify]: Simplified to (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 4) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) (* (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) U)))
231.147 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 4) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) (* (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) U))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
231.149 * [simplify]: Simplifying (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
231.149 * * [simplify]: iters left: 6 (21 enodes)
231.162 * * [simplify]: iters left: 5 (103 enodes)
231.210 * * [simplify]: iters left: 4 (316 enodes)
231.448 * * [simplify]: Extracting #0: cost 1 inf + 0
231.448 * * [simplify]: Extracting #1: cost 3 inf + 0
231.448 * * [simplify]: Extracting #2: cost 67 inf + 0
231.450 * * [simplify]: Extracting #3: cost 351 inf + 87
231.454 * * [simplify]: Extracting #4: cost 555 inf + 1242
231.463 * * [simplify]: Extracting #5: cost 517 inf + 15418
231.510 * * [simplify]: Extracting #6: cost 223 inf + 122745
231.586 * * [simplify]: Extracting #7: cost 18 inf + 209274
231.664 * * [simplify]: Extracting #8: cost 0 inf + 204999
231.755 * * [simplify]: Extracting #9: cost 0 inf + 203984
231.827 * [simplify]: Simplified to (sqrt (* (* (cos (/ K 2)) J) (* (+ (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) 4)))
231.827 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 4) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) (* (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) U))) (sqrt (* (* (cos (/ K 2)) J) (* (+ (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) 4))))))
231.828 * * * * [progress]: [ 139 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
231.828 * [simplify]: Simplifying (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
231.828 * * [simplify]: iters left: 6 (24 enodes)
231.836 * * [simplify]: iters left: 5 (117 enodes)
231.876 * * [simplify]: iters left: 4 (384 enodes)
232.268 * * [simplify]: Extracting #0: cost 1 inf + 0
232.268 * * [simplify]: Extracting #1: cost 3 inf + 0
232.269 * * [simplify]: Extracting #2: cost 12 inf + 0
232.270 * * [simplify]: Extracting #3: cost 277 inf + 0
232.274 * * [simplify]: Extracting #4: cost 740 inf + 129
232.281 * * [simplify]: Extracting #5: cost 751 inf + 4646
232.289 * * [simplify]: Extracting #6: cost 723 inf + 7309
232.315 * * [simplify]: Extracting #7: cost 533 inf + 63911
232.394 * * [simplify]: Extracting #8: cost 52 inf + 247832
232.531 * * [simplify]: Extracting #9: cost 2 inf + 266650
232.665 * * [simplify]: Extracting #10: cost 0 inf + 267700
232.746 * [simplify]: Simplified to (sqrt (+ (* (- 1 (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (* (+ (* U (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) U) (* U (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))))
232.746 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (- 1 (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (* (+ (* U (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) U) (* U (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
232.747 * [simplify]: Simplifying (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
232.747 * * [simplify]: iters left: 6 (17 enodes)
232.757 * * [simplify]: iters left: 5 (79 enodes)
232.796 * * [simplify]: iters left: 4 (262 enodes)
233.028 * * [simplify]: Extracting #0: cost 1 inf + 0
233.028 * * [simplify]: Extracting #1: cost 3 inf + 0
233.028 * * [simplify]: Extracting #2: cost 58 inf + 0
233.029 * * [simplify]: Extracting #3: cost 238 inf + 45
233.031 * * [simplify]: Extracting #4: cost 476 inf + 624
233.040 * * [simplify]: Extracting #5: cost 254 inf + 58481
233.079 * * [simplify]: Extracting #6: cost 21 inf + 129572
233.118 * * [simplify]: Extracting #7: cost 0 inf + 136102
233.158 * * [simplify]: Extracting #8: cost 0 inf + 136099
233.207 * [simplify]: Simplified to (sqrt (+ (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2)))))
233.207 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (+ (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2))))))))
233.208 * * * * [progress]: [ 140 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))>
233.208 * [simplify]: Simplifying (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))
233.208 * * [simplify]: iters left: 6 (29 enodes)
233.218 * * [simplify]: iters left: 5 (149 enodes)
233.263 * * [simplify]: iters left: 4 (467 enodes)
233.792 * * [simplify]: Extracting #0: cost 1 inf + 0
233.792 * * [simplify]: Extracting #1: cost 3 inf + 0
233.792 * * [simplify]: Extracting #2: cost 16 inf + 0
233.793 * * [simplify]: Extracting #3: cost 327 inf + 0
233.795 * * [simplify]: Extracting #4: cost 739 inf + 211
233.799 * * [simplify]: Extracting #5: cost 808 inf + 4576
233.804 * * [simplify]: Extracting #6: cost 784 inf + 8136
233.822 * * [simplify]: Extracting #7: cost 575 inf + 82920
233.914 * * [simplify]: Extracting #8: cost 104 inf + 295798
234.040 * * [simplify]: Extracting #9: cost 2 inf + 327989
234.227 * * [simplify]: Extracting #10: cost 0 inf + 323952
234.363 * [simplify]: Simplified to (sqrt (+ (* (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (* (+ (* (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* U U)) (* U U)) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))
234.363 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) (* (+ (* (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* U U)) (* U U)) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
234.364 * [simplify]: Simplifying (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
234.364 * * [simplify]: iters left: 6 (21 enodes)
234.373 * * [simplify]: iters left: 5 (103 enodes)
234.421 * * [simplify]: iters left: 4 (316 enodes)
235.130 * * [simplify]: Extracting #0: cost 1 inf + 0
235.130 * * [simplify]: Extracting #1: cost 3 inf + 0
235.131 * * [simplify]: Extracting #2: cost 67 inf + 0
235.132 * * [simplify]: Extracting #3: cost 351 inf + 87
235.136 * * [simplify]: Extracting #4: cost 555 inf + 1242
235.145 * * [simplify]: Extracting #5: cost 517 inf + 15418
235.182 * * [simplify]: Extracting #6: cost 223 inf + 122745
235.264 * * [simplify]: Extracting #7: cost 18 inf + 209274
235.351 * * [simplify]: Extracting #8: cost 0 inf + 204999
235.449 * * [simplify]: Extracting #9: cost 0 inf + 203984
235.513 * [simplify]: Simplified to (sqrt (* (* (cos (/ K 2)) J) (* (+ (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) 4)))
235.513 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))) (sqrt (* (* (cos (/ K 2)) J) (* (+ (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) 4))))))
235.513 * * * * [progress]: [ 141 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
235.514 * [simplify]: Simplifying (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
235.514 * * [simplify]: iters left: 6 (24 enodes)
235.527 * * [simplify]: iters left: 5 (117 enodes)
235.580 * * [simplify]: iters left: 4 (390 enodes)
235.972 * * [simplify]: Extracting #0: cost 1 inf + 0
235.972 * * [simplify]: Extracting #1: cost 3 inf + 0
235.972 * * [simplify]: Extracting #2: cost 12 inf + 0
235.973 * * [simplify]: Extracting #3: cost 270 inf + 0
235.984 * * [simplify]: Extracting #4: cost 676 inf + 211
235.991 * * [simplify]: Extracting #5: cost 690 inf + 4066
235.999 * * [simplify]: Extracting #6: cost 664 inf + 6568
236.024 * * [simplify]: Extracting #7: cost 471 inf + 66416
236.095 * * [simplify]: Extracting #8: cost 36 inf + 228732
236.183 * * [simplify]: Extracting #9: cost 1 inf + 242454
236.273 * * [simplify]: Extracting #10: cost 0 inf + 242962
236.358 * [simplify]: Simplified to (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2)))) (* (+ (* U (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) U) (* U (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))
236.358 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2)))) (* (+ (* U (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) U) (* U (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
236.359 * [simplify]: Simplifying (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
236.360 * * [simplify]: iters left: 6 (17 enodes)
236.369 * * [simplify]: iters left: 5 (79 enodes)
236.389 * * [simplify]: iters left: 4 (262 enodes)
236.595 * * [simplify]: Extracting #0: cost 1 inf + 0
236.595 * * [simplify]: Extracting #1: cost 3 inf + 0
236.595 * * [simplify]: Extracting #2: cost 58 inf + 0
236.596 * * [simplify]: Extracting #3: cost 238 inf + 45
236.597 * * [simplify]: Extracting #4: cost 476 inf + 624
236.610 * * [simplify]: Extracting #5: cost 254 inf + 58481
236.655 * * [simplify]: Extracting #6: cost 21 inf + 129572
236.708 * * [simplify]: Extracting #7: cost 0 inf + 136102
236.755 * * [simplify]: Extracting #8: cost 0 inf + 136099
236.793 * [simplify]: Simplified to (sqrt (+ (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2)))))
236.793 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (+ (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2))))))))
236.794 * * * * [progress]: [ 142 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))) (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))>
236.794 * [simplify]: Simplifying (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))
236.794 * * [simplify]: iters left: 6 (28 enodes)
236.803 * * [simplify]: iters left: 5 (137 enodes)
236.836 * * [simplify]: iters left: 4 (398 enodes)
237.302 * * [simplify]: Extracting #0: cost 1 inf + 0
237.302 * * [simplify]: Extracting #1: cost 3 inf + 0
237.302 * * [simplify]: Extracting #2: cost 16 inf + 0
237.303 * * [simplify]: Extracting #3: cost 271 inf + 0
237.305 * * [simplify]: Extracting #4: cost 733 inf + 171
237.309 * * [simplify]: Extracting #5: cost 764 inf + 4499
237.313 * * [simplify]: Extracting #6: cost 753 inf + 6717
237.329 * * [simplify]: Extracting #7: cost 591 inf + 58333
237.396 * * [simplify]: Extracting #8: cost 170 inf + 224979
237.544 * * [simplify]: Extracting #9: cost 6 inf + 299612
237.666 * * [simplify]: Extracting #10: cost 0 inf + 298861
237.793 * * [simplify]: Extracting #11: cost 0 inf + 298690
237.915 * [simplify]: Simplified to (sqrt (+ (* (+ (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* 2 (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J))))
237.915 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (+ (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* 2 (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)))) (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
237.916 * [simplify]: Simplifying (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
237.916 * * [simplify]: iters left: 6 (20 enodes)
237.922 * * [simplify]: iters left: 5 (91 enodes)
237.956 * * [simplify]: iters left: 4 (257 enodes)
238.188 * * [simplify]: Extracting #0: cost 1 inf + 0
238.188 * * [simplify]: Extracting #1: cost 3 inf + 0
238.188 * * [simplify]: Extracting #2: cost 32 inf + 0
238.189 * * [simplify]: Extracting #3: cost 170 inf + 45
238.191 * * [simplify]: Extracting #4: cost 405 inf + 295
238.197 * * [simplify]: Extracting #5: cost 324 inf + 28591
238.223 * * [simplify]: Extracting #6: cost 62 inf + 112500
238.273 * * [simplify]: Extracting #7: cost 1 inf + 134734
238.326 * * [simplify]: Extracting #8: cost 0 inf + 135033
238.380 * [simplify]: Simplified to (sqrt (+ (+ (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2)) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2))))
238.380 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (+ (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* 2 (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)))) (sqrt (+ (+ (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2)) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2)))))))
238.381 * * * * [progress]: [ 143 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
238.381 * [simplify]: Simplifying (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
238.382 * * [simplify]: iters left: 6 (23 enodes)
238.388 * * [simplify]: iters left: 5 (105 enodes)
238.423 * * [simplify]: iters left: 4 (311 enodes)
238.814 * * [simplify]: Extracting #0: cost 1 inf + 0
238.814 * * [simplify]: Extracting #1: cost 3 inf + 0
238.814 * * [simplify]: Extracting #2: cost 12 inf + 0
238.815 * * [simplify]: Extracting #3: cost 223 inf + 0
238.819 * * [simplify]: Extracting #4: cost 636 inf + 171
238.825 * * [simplify]: Extracting #5: cost 651 inf + 3216
238.852 * * [simplify]: Extracting #6: cost 422 inf + 68528
238.927 * * [simplify]: Extracting #7: cost 31 inf + 212686
239.018 * * [simplify]: Extracting #8: cost 1 inf + 224958
239.104 * * [simplify]: Extracting #9: cost 0 inf + 225223
239.178 * [simplify]: Simplified to (sqrt (+ (* (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 2) (* (+ U (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))))
239.178 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 2) (* (+ U (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
239.179 * [simplify]: Simplifying (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
239.179 * * [simplify]: iters left: 6 (16 enodes)
239.184 * * [simplify]: iters left: 5 (69 enodes)
239.200 * * [simplify]: iters left: 4 (208 enodes)
239.373 * * [simplify]: Extracting #0: cost 1 inf + 0
239.373 * * [simplify]: Extracting #1: cost 3 inf + 0
239.373 * * [simplify]: Extracting #2: cost 23 inf + 0
239.373 * * [simplify]: Extracting #3: cost 133 inf + 3
239.375 * * [simplify]: Extracting #4: cost 375 inf + 295
239.381 * * [simplify]: Extracting #5: cost 190 inf + 46318
239.405 * * [simplify]: Extracting #6: cost 5 inf + 99447
239.427 * * [simplify]: Extracting #7: cost 0 inf + 100007
239.460 * * [simplify]: Extracting #8: cost 0 inf + 99968
239.500 * [simplify]: Simplified to (sqrt (+ (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (cos (/ K 2)) (* J 2))) (* (cos (/ K 2)) (* J 2))))
239.501 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (+ (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (cos (/ K 2)) (* J 2))) (* (cos (/ K 2)) (* J 2)))))))
239.501 * * * * [progress]: [ 144 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))) (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))>
239.502 * [simplify]: Simplifying (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))
239.503 * * [simplify]: iters left: 6 (28 enodes)
239.521 * * [simplify]: iters left: 5 (137 enodes)
239.568 * * [simplify]: iters left: 4 (389 enodes)
239.962 * * [simplify]: Extracting #0: cost 1 inf + 0
239.962 * * [simplify]: Extracting #1: cost 3 inf + 0
239.963 * * [simplify]: Extracting #2: cost 16 inf + 0
239.964 * * [simplify]: Extracting #3: cost 285 inf + 0
239.969 * * [simplify]: Extracting #4: cost 730 inf + 88
239.976 * * [simplify]: Extracting #5: cost 769 inf + 3429
239.985 * * [simplify]: Extracting #6: cost 751 inf + 6594
239.995 * * [simplify]: Extracting #7: cost 596 inf + 54299
240.051 * * [simplify]: Extracting #8: cost 172 inf + 223587
240.178 * * [simplify]: Extracting #9: cost 8 inf + 300049
240.336 * * [simplify]: Extracting #10: cost 0 inf + 300349
240.512 * * [simplify]: Extracting #11: cost 0 inf + 299927
240.658 * [simplify]: Simplified to (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ U (* U (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))
240.658 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ U (* U (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
240.659 * [simplify]: Simplifying (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
240.660 * * [simplify]: iters left: 6 (20 enodes)
240.671 * * [simplify]: iters left: 5 (91 enodes)
240.716 * * [simplify]: iters left: 4 (257 enodes)
240.930 * * [simplify]: Extracting #0: cost 1 inf + 0
240.930 * * [simplify]: Extracting #1: cost 3 inf + 0
240.930 * * [simplify]: Extracting #2: cost 32 inf + 0
240.931 * * [simplify]: Extracting #3: cost 170 inf + 45
240.932 * * [simplify]: Extracting #4: cost 405 inf + 295
240.937 * * [simplify]: Extracting #5: cost 324 inf + 28591
240.962 * * [simplify]: Extracting #6: cost 62 inf + 112500
241.035 * * [simplify]: Extracting #7: cost 1 inf + 134734
241.090 * * [simplify]: Extracting #8: cost 0 inf + 135033
241.154 * [simplify]: Simplified to (sqrt (+ (+ (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2)) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2))))
241.154 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ U (* U (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (sqrt (+ (+ (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2)) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2)))))))
241.155 * * * * [progress]: [ 145 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
241.155 * [simplify]: Simplifying (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
241.156 * * [simplify]: iters left: 6 (23 enodes)
241.162 * * [simplify]: iters left: 5 (105 enodes)
241.195 * * [simplify]: iters left: 4 (307 enodes)
241.509 * * [simplify]: Extracting #0: cost 1 inf + 0
241.509 * * [simplify]: Extracting #1: cost 3 inf + 0
241.509 * * [simplify]: Extracting #2: cost 12 inf + 0
241.509 * * [simplify]: Extracting #3: cost 234 inf + 0
241.511 * * [simplify]: Extracting #4: cost 638 inf + 129
241.514 * * [simplify]: Extracting #5: cost 651 inf + 3463
241.533 * * [simplify]: Extracting #6: cost 430 inf + 67784
241.614 * * [simplify]: Extracting #7: cost 20 inf + 218776
241.738 * * [simplify]: Extracting #8: cost 0 inf + 225780
241.862 * * [simplify]: Extracting #9: cost 0 inf + 225624
241.953 * [simplify]: Simplified to (sqrt (+ (* (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 2) (* (+ (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) U) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))))
241.953 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 2) (* (+ (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) U) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
241.954 * [simplify]: Simplifying (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
241.954 * * [simplify]: iters left: 6 (16 enodes)
241.959 * * [simplify]: iters left: 5 (69 enodes)
241.976 * * [simplify]: iters left: 4 (208 enodes)
242.156 * * [simplify]: Extracting #0: cost 1 inf + 0
242.156 * * [simplify]: Extracting #1: cost 3 inf + 0
242.156 * * [simplify]: Extracting #2: cost 23 inf + 0
242.156 * * [simplify]: Extracting #3: cost 133 inf + 3
242.158 * * [simplify]: Extracting #4: cost 375 inf + 295
242.167 * * [simplify]: Extracting #5: cost 190 inf + 46318
242.204 * * [simplify]: Extracting #6: cost 5 inf + 99447
242.227 * * [simplify]: Extracting #7: cost 0 inf + 100007
242.255 * * [simplify]: Extracting #8: cost 0 inf + 99968
242.291 * [simplify]: Simplified to (sqrt (+ (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (cos (/ K 2)) (* J 2))) (* (cos (/ K 2)) (* J 2))))
242.291 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (+ (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (cos (/ K 2)) (* J 2))) (* (cos (/ K 2)) (* J 2)))))))
242.292 * * * * [progress]: [ 146 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))>
242.292 * [simplify]: Simplifying (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))
242.292 * * [simplify]: iters left: 6 (29 enodes)
242.307 * * [simplify]: iters left: 5 (148 enodes)
242.358 * * [simplify]: iters left: 4 (476 enodes)
242.847 * * [simplify]: Extracting #0: cost 1 inf + 0
242.847 * * [simplify]: Extracting #1: cost 3 inf + 0
242.847 * * [simplify]: Extracting #2: cost 16 inf + 0
242.847 * * [simplify]: Extracting #3: cost 318 inf + 0
242.850 * * [simplify]: Extracting #4: cost 801 inf + 212
242.860 * * [simplify]: Extracting #5: cost 864 inf + 6151
242.865 * * [simplify]: Extracting #6: cost 849 inf + 8386
242.873 * * [simplify]: Extracting #7: cost 782 inf + 27682
242.951 * * [simplify]: Extracting #8: cost 312 inf + 200578
243.135 * * [simplify]: Extracting #9: cost 16 inf + 340391
243.290 * * [simplify]: Extracting #10: cost 0 inf + 346205
243.481 * [simplify]: Simplified to (sqrt (+ (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* 4 (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* U U) (+ (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))
243.481 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* 4 (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* U U) (+ (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
243.482 * [simplify]: Simplifying (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
243.483 * * [simplify]: iters left: 6 (21 enodes)
243.495 * * [simplify]: iters left: 5 (103 enodes)
243.519 * * [simplify]: iters left: 4 (316 enodes)
243.783 * * [simplify]: Extracting #0: cost 1 inf + 0
243.783 * * [simplify]: Extracting #1: cost 3 inf + 0
243.783 * * [simplify]: Extracting #2: cost 67 inf + 0
243.785 * * [simplify]: Extracting #3: cost 351 inf + 87
243.789 * * [simplify]: Extracting #4: cost 555 inf + 1242
243.798 * * [simplify]: Extracting #5: cost 517 inf + 15418
243.845 * * [simplify]: Extracting #6: cost 223 inf + 122745
243.938 * * [simplify]: Extracting #7: cost 18 inf + 209274
244.019 * * [simplify]: Extracting #8: cost 0 inf + 204999
244.112 * * [simplify]: Extracting #9: cost 0 inf + 203984
244.213 * [simplify]: Simplified to (sqrt (* (* (cos (/ K 2)) J) (* (+ (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) 4)))
244.213 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* 4 (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* U U) (+ (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (sqrt (* (* (cos (/ K 2)) J) (* (+ (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) 4))))))
244.214 * * * * [progress]: [ 147 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
244.215 * [simplify]: Simplifying (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
244.215 * * [simplify]: iters left: 6 (24 enodes)
244.229 * * [simplify]: iters left: 5 (116 enodes)
244.291 * * [simplify]: iters left: 4 (392 enodes)
244.675 * * [simplify]: Extracting #0: cost 1 inf + 0
244.675 * * [simplify]: Extracting #1: cost 3 inf + 0
244.675 * * [simplify]: Extracting #2: cost 12 inf + 0
244.677 * * [simplify]: Extracting #3: cost 275 inf + 0
244.682 * * [simplify]: Extracting #4: cost 725 inf + 621
244.688 * * [simplify]: Extracting #5: cost 738 inf + 5543
244.692 * * [simplify]: Extracting #6: cost 727 inf + 6524
244.697 * * [simplify]: Extracting #7: cost 688 inf + 15398
244.736 * * [simplify]: Extracting #8: cost 286 inf + 154439
244.821 * * [simplify]: Extracting #9: cost 21 inf + 267184
244.915 * * [simplify]: Extracting #10: cost 0 inf + 270651
244.998 * * [simplify]: Extracting #11: cost 0 inf + 270485
245.104 * [simplify]: Simplified to (sqrt (+ (* (- 1 (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (* U (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (+ (* U (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) U))))
245.104 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (- 1 (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (* U (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (+ (* U (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) U)))) (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
245.105 * [simplify]: Simplifying (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
245.105 * * [simplify]: iters left: 6 (17 enodes)
245.115 * * [simplify]: iters left: 5 (79 enodes)
245.153 * * [simplify]: iters left: 4 (262 enodes)
245.364 * * [simplify]: Extracting #0: cost 1 inf + 0
245.364 * * [simplify]: Extracting #1: cost 3 inf + 0
245.364 * * [simplify]: Extracting #2: cost 58 inf + 0
245.365 * * [simplify]: Extracting #3: cost 238 inf + 45
245.367 * * [simplify]: Extracting #4: cost 476 inf + 624
245.376 * * [simplify]: Extracting #5: cost 254 inf + 58481
245.414 * * [simplify]: Extracting #6: cost 21 inf + 129572
245.462 * * [simplify]: Extracting #7: cost 0 inf + 136102
245.503 * * [simplify]: Extracting #8: cost 0 inf + 136099
245.546 * [simplify]: Simplified to (sqrt (+ (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2)))))
245.546 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (+ (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2)) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (* (* (* (cos (/ K 2)) J) 2) (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2))))))))
245.547 * * * * [progress]: [ 148 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))) (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))>
245.547 * [simplify]: Simplifying (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))
245.547 * * [simplify]: iters left: 6 (28 enodes)
245.556 * * [simplify]: iters left: 5 (137 enodes)
245.592 * * [simplify]: iters left: 4 (397 enodes)
246.029 * * [simplify]: Extracting #0: cost 1 inf + 0
246.030 * * [simplify]: Extracting #1: cost 3 inf + 0
246.030 * * [simplify]: Extracting #2: cost 16 inf + 0
246.031 * * [simplify]: Extracting #3: cost 291 inf + 0
246.036 * * [simplify]: Extracting #4: cost 804 inf + 211
246.044 * * [simplify]: Extracting #5: cost 828 inf + 4451
246.053 * * [simplify]: Extracting #6: cost 820 inf + 6637
246.077 * * [simplify]: Extracting #7: cost 664 inf + 56839
246.202 * * [simplify]: Extracting #8: cost 155 inf + 264545
246.346 * * [simplify]: Extracting #9: cost 3 inf + 326192
246.517 * * [simplify]: Extracting #10: cost 0 inf + 325936
246.671 * * [simplify]: Extracting #11: cost 0 inf + 325253
246.812 * * [simplify]: Extracting #12: cost 0 inf + 325173
246.987 * [simplify]: Simplified to (sqrt (+ (+ (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) U)))
246.987 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (+ (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) U))) (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
246.988 * [simplify]: Simplifying (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
246.988 * * [simplify]: iters left: 6 (20 enodes)
246.994 * * [simplify]: iters left: 5 (91 enodes)
247.016 * * [simplify]: iters left: 4 (257 enodes)
247.259 * * [simplify]: Extracting #0: cost 1 inf + 0
247.259 * * [simplify]: Extracting #1: cost 3 inf + 0
247.259 * * [simplify]: Extracting #2: cost 32 inf + 0
247.260 * * [simplify]: Extracting #3: cost 170 inf + 45
247.262 * * [simplify]: Extracting #4: cost 405 inf + 295
247.274 * * [simplify]: Extracting #5: cost 324 inf + 28591
247.320 * * [simplify]: Extracting #6: cost 62 inf + 112500
247.386 * * [simplify]: Extracting #7: cost 1 inf + 134734
247.434 * * [simplify]: Extracting #8: cost 0 inf + 135033
247.481 * [simplify]: Simplified to (sqrt (+ (+ (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2)) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2))))
247.482 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (+ (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) U))) (sqrt (+ (+ (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2)) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2)))))))
247.483 * * * * [progress]: [ 149 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
247.483 * [simplify]: Simplifying (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
247.484 * * [simplify]: iters left: 6 (23 enodes)
247.496 * * [simplify]: iters left: 5 (105 enodes)
247.544 * * [simplify]: iters left: 4 (304 enodes)
247.889 * * [simplify]: Extracting #0: cost 1 inf + 0
247.889 * * [simplify]: Extracting #1: cost 3 inf + 0
247.889 * * [simplify]: Extracting #2: cost 12 inf + 0
247.889 * * [simplify]: Extracting #3: cost 228 inf + 0
247.892 * * [simplify]: Extracting #4: cost 635 inf + 129
247.905 * * [simplify]: Extracting #5: cost 640 inf + 4202
247.922 * * [simplify]: Extracting #6: cost 431 inf + 66084
247.994 * * [simplify]: Extracting #7: cost 45 inf + 208522
248.081 * * [simplify]: Extracting #8: cost 2 inf + 227130
248.154 * * [simplify]: Extracting #9: cost 0 inf + 227745
248.273 * [simplify]: Simplified to (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (cos (/ K 2)) J) 2)) (* (* U (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (+ (/ (/ (/ U 2) J) (cos (/ K 2))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))
248.273 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (cos (/ K 2)) J) 2)) (* (* U (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (+ (/ (/ (/ U 2) J) (cos (/ K 2))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
248.274 * [simplify]: Simplifying (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
248.274 * * [simplify]: iters left: 6 (16 enodes)
248.283 * * [simplify]: iters left: 5 (69 enodes)
248.314 * * [simplify]: iters left: 4 (208 enodes)
248.484 * * [simplify]: Extracting #0: cost 1 inf + 0
248.484 * * [simplify]: Extracting #1: cost 3 inf + 0
248.484 * * [simplify]: Extracting #2: cost 23 inf + 0
248.484 * * [simplify]: Extracting #3: cost 133 inf + 3
248.485 * * [simplify]: Extracting #4: cost 375 inf + 295
248.492 * * [simplify]: Extracting #5: cost 190 inf + 46318
248.520 * * [simplify]: Extracting #6: cost 5 inf + 99447
248.548 * * [simplify]: Extracting #7: cost 0 inf + 100007
248.573 * * [simplify]: Extracting #8: cost 0 inf + 99968
248.609 * [simplify]: Simplified to (sqrt (+ (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (cos (/ K 2)) (* J 2))) (* (cos (/ K 2)) (* J 2))))
248.609 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (+ (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (cos (/ K 2)) (* J 2))) (* (cos (/ K 2)) (* J 2)))))))
248.610 * * * * [progress]: [ 150 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))) (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))>
248.610 * [simplify]: Simplifying (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))
248.611 * * [simplify]: iters left: 6 (28 enodes)
248.627 * * [simplify]: iters left: 5 (137 enodes)
248.674 * * [simplify]: iters left: 4 (406 enodes)
249.176 * * [simplify]: Extracting #0: cost 1 inf + 0
249.177 * * [simplify]: Extracting #1: cost 3 inf + 0
249.177 * * [simplify]: Extracting #2: cost 16 inf + 0
249.178 * * [simplify]: Extracting #3: cost 293 inf + 0
249.183 * * [simplify]: Extracting #4: cost 815 inf + 418
249.191 * * [simplify]: Extracting #5: cost 841 inf + 5446
249.199 * * [simplify]: Extracting #6: cost 839 inf + 6715
249.211 * * [simplify]: Extracting #7: cost 671 inf + 62571
249.285 * * [simplify]: Extracting #8: cost 187 inf + 252775
249.428 * * [simplify]: Extracting #9: cost 9 inf + 330233
249.564 * * [simplify]: Extracting #10: cost 0 inf + 332163
249.718 * * [simplify]: Extracting #11: cost 0 inf + 331581
249.844 * * [simplify]: Extracting #12: cost 0 inf + 331501
249.977 * [simplify]: Simplified to (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))
249.977 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
249.978 * [simplify]: Simplifying (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
249.979 * * [simplify]: iters left: 6 (20 enodes)
249.990 * * [simplify]: iters left: 5 (91 enodes)
250.012 * * [simplify]: iters left: 4 (257 enodes)
250.230 * * [simplify]: Extracting #0: cost 1 inf + 0
250.230 * * [simplify]: Extracting #1: cost 3 inf + 0
250.230 * * [simplify]: Extracting #2: cost 32 inf + 0
250.231 * * [simplify]: Extracting #3: cost 170 inf + 45
250.233 * * [simplify]: Extracting #4: cost 405 inf + 295
250.248 * * [simplify]: Extracting #5: cost 324 inf + 28591
250.272 * * [simplify]: Extracting #6: cost 62 inf + 112500
250.334 * * [simplify]: Extracting #7: cost 1 inf + 134734
250.383 * * [simplify]: Extracting #8: cost 0 inf + 135033
250.446 * [simplify]: Simplified to (sqrt (+ (+ (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2)) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2))))
250.446 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (sqrt (+ (+ (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2)) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (cos (/ K 2)) J) 2)))))))
250.447 * * * * [progress]: [ 151 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
250.447 * [simplify]: Simplifying (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
250.447 * * [simplify]: iters left: 6 (23 enodes)
250.454 * * [simplify]: iters left: 5 (105 enodes)
250.487 * * [simplify]: iters left: 4 (311 enodes)
250.858 * * [simplify]: Extracting #0: cost 1 inf + 0
250.858 * * [simplify]: Extracting #1: cost 3 inf + 0
250.858 * * [simplify]: Extracting #2: cost 12 inf + 0
250.859 * * [simplify]: Extracting #3: cost 229 inf + 0
250.863 * * [simplify]: Extracting #4: cost 657 inf + 211
250.870 * * [simplify]: Extracting #5: cost 665 inf + 4158
250.901 * * [simplify]: Extracting #6: cost 435 inf + 74305
250.968 * * [simplify]: Extracting #7: cost 33 inf + 217761
251.067 * * [simplify]: Extracting #8: cost 2 inf + 229641
251.163 * * [simplify]: Extracting #9: cost 0 inf + 230691
251.252 * * [simplify]: Extracting #10: cost 0 inf + 230611
251.343 * [simplify]: Simplified to (sqrt (+ (* (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 2) (* (* U (/ (/ U 2) (* (cos (/ K 2)) J))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))
251.343 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 2) (* (* U (/ (/ U 2) (* (cos (/ K 2)) J))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
251.344 * [simplify]: Simplifying (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
251.344 * * [simplify]: iters left: 6 (16 enodes)
251.353 * * [simplify]: iters left: 5 (69 enodes)
251.385 * * [simplify]: iters left: 4 (208 enodes)
251.583 * * [simplify]: Extracting #0: cost 1 inf + 0
251.583 * * [simplify]: Extracting #1: cost 3 inf + 0
251.583 * * [simplify]: Extracting #2: cost 23 inf + 0
251.583 * * [simplify]: Extracting #3: cost 133 inf + 3
251.584 * * [simplify]: Extracting #4: cost 375 inf + 295
251.591 * * [simplify]: Extracting #5: cost 190 inf + 46318
251.628 * * [simplify]: Extracting #6: cost 5 inf + 99447
251.650 * * [simplify]: Extracting #7: cost 0 inf + 100007
251.681 * * [simplify]: Extracting #8: cost 0 inf + 99968
251.710 * [simplify]: Simplified to (sqrt (+ (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (cos (/ K 2)) (* J 2))) (* (cos (/ K 2)) (* J 2))))
251.710 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (+ (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (cos (/ K 2)) (* J 2))) (* (cos (/ K 2)) (* J 2)))))))
251.711 * * * * [progress]: [ 152 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3))) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))>
251.711 * [simplify]: Simplifying (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3)))
251.711 * * [simplify]: iters left: 6 (20 enodes)
251.719 * * [simplify]: iters left: 5 (87 enodes)
251.739 * * [simplify]: iters left: 4 (239 enodes)
251.904 * * [simplify]: Extracting #0: cost 1 inf + 0
251.904 * * [simplify]: Extracting #1: cost 3 inf + 0
251.904 * * [simplify]: Extracting #2: cost 6 inf + 0
251.904 * * [simplify]: Extracting #3: cost 58 inf + 0
251.906 * * [simplify]: Extracting #4: cost 355 inf + 5
251.908 * * [simplify]: Extracting #5: cost 459 inf + 2237
251.910 * * [simplify]: Extracting #6: cost 440 inf + 4299
251.918 * * [simplify]: Extracting #7: cost 284 inf + 54001
251.958 * * [simplify]: Extracting #8: cost 31 inf + 151130
252.015 * * [simplify]: Extracting #9: cost 0 inf + 164156
252.072 * * [simplify]: Extracting #10: cost 0 inf + 163159
252.140 * [simplify]: Simplified to (sqrt (+ (* (* (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (- 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (- 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (- 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))))
252.140 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (- 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (- 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (- 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))))) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
252.141 * [simplify]: Simplifying (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
252.142 * * [simplify]: iters left: 6 (21 enodes)
252.154 * * [simplify]: iters left: 5 (84 enodes)
252.188 * * [simplify]: iters left: 4 (225 enodes)
252.387 * * [simplify]: Extracting #0: cost 1 inf + 0
252.387 * * [simplify]: Extracting #1: cost 3 inf + 0
252.387 * * [simplify]: Extracting #2: cost 14 inf + 0
252.388 * * [simplify]: Extracting #3: cost 125 inf + 0
252.390 * * [simplify]: Extracting #4: cost 427 inf + 3
252.393 * * [simplify]: Extracting #5: cost 508 inf + 879
252.398 * * [simplify]: Extracting #6: cost 490 inf + 2768
252.415 * * [simplify]: Extracting #7: cost 309 inf + 56596
252.488 * * [simplify]: Extracting #8: cost 20 inf + 167163
252.560 * * [simplify]: Extracting #9: cost 0 inf + 173921
252.622 * * [simplify]: Extracting #10: cost 0 inf + 173800
252.703 * [simplify]: Simplified to (sqrt (- (* (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (- (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))))
252.703 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (+ (* (* (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (- 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (- 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (- 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))))) (sqrt (- (* (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (- (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))))))
252.705 * * * * [progress]: [ 153 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
252.705 * [simplify]: Simplifying (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
252.705 * * [simplify]: iters left: 6 (19 enodes)
252.715 * * [simplify]: iters left: 5 (75 enodes)
252.745 * * [simplify]: iters left: 4 (202 enodes)
252.892 * * [simplify]: Extracting #0: cost 1 inf + 0
252.892 * * [simplify]: Extracting #1: cost 3 inf + 0
252.892 * * [simplify]: Extracting #2: cost 25 inf + 0
252.892 * * [simplify]: Extracting #3: cost 88 inf + 0
252.894 * * [simplify]: Extracting #4: cost 346 inf + 3
252.898 * * [simplify]: Extracting #5: cost 406 inf + 1126
252.902 * * [simplify]: Extracting #6: cost 385 inf + 3301
252.921 * * [simplify]: Extracting #7: cost 199 inf + 59697
252.977 * * [simplify]: Extracting #8: cost 21 inf + 123630
253.013 * * [simplify]: Extracting #9: cost 0 inf + 130278
253.052 * [simplify]: Simplified to (sqrt (- (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))
253.052 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (- (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
253.053 * [simplify]: Simplifying (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))
253.053 * * [simplify]: iters left: 6 (17 enodes)
253.058 * * [simplify]: iters left: 5 (67 enodes)
253.080 * * [simplify]: iters left: 4 (174 enodes)
253.170 * * [simplify]: Extracting #0: cost 1 inf + 0
253.170 * * [simplify]: Extracting #1: cost 3 inf + 0
253.170 * * [simplify]: Extracting #2: cost 13 inf + 0
253.171 * * [simplify]: Extracting #3: cost 185 inf + 1
253.172 * * [simplify]: Extracting #4: cost 315 inf + 338
253.174 * * [simplify]: Extracting #5: cost 288 inf + 2561
253.177 * * [simplify]: Extracting #6: cost 210 inf + 21523
253.202 * * [simplify]: Extracting #7: cost 23 inf + 79632
253.241 * * [simplify]: Extracting #8: cost 0 inf + 88474
253.274 * [simplify]: Simplified to (sqrt (- (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1))
253.274 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (- (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)))))
253.274 * * * * [progress]: [ 154 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (pow (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (/ 1 2))))>
253.274 * [simplify]: Simplifying (/ 1 2)
253.274 * * [simplify]: iters left: 2 (3 enodes)
253.277 * * [simplify]: iters left: 1 (12 enodes)
253.279 * * [simplify]: Extracting #0: cost 1 inf + 0
253.279 * * [simplify]: Extracting #1: cost 0 inf + 1
253.279 * [simplify]: Simplified to 1/2
253.279 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (pow (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 1/2)))
253.279 * * * * [progress]: [ 155 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
253.279 * [simplify]: Simplifying (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
253.280 * * [simplify]: iters left: 6 (18 enodes)
253.284 * * [simplify]: iters left: 5 (69 enodes)
253.298 * * [simplify]: iters left: 4 (169 enodes)
253.418 * * [simplify]: Extracting #0: cost 1 inf + 0
253.418 * * [simplify]: Extracting #1: cost 3 inf + 0
253.418 * * [simplify]: Extracting #2: cost 5 inf + 0
253.418 * * [simplify]: Extracting #3: cost 14 inf + 0
253.419 * * [simplify]: Extracting #4: cost 180 inf + 1
253.420 * * [simplify]: Extracting #5: cost 310 inf + 172
253.421 * * [simplify]: Extracting #6: cost 287 inf + 1782
253.425 * * [simplify]: Extracting #7: cost 203 inf + 22865
253.445 * * [simplify]: Extracting #8: cost 20 inf + 80361
253.474 * * [simplify]: Extracting #9: cost 1 inf + 86588
253.511 * * [simplify]: Extracting #10: cost 0 inf + 86893
253.542 * [simplify]: Simplified to (sqrt (sqrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))
253.542 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
253.543 * [simplify]: Simplifying (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
253.543 * * [simplify]: iters left: 6 (18 enodes)
253.548 * * [simplify]: iters left: 5 (69 enodes)
253.562 * * [simplify]: iters left: 4 (169 enodes)
253.668 * * [simplify]: Extracting #0: cost 1 inf + 0
253.668 * * [simplify]: Extracting #1: cost 3 inf + 0
253.668 * * [simplify]: Extracting #2: cost 5 inf + 0
253.668 * * [simplify]: Extracting #3: cost 14 inf + 0
253.669 * * [simplify]: Extracting #4: cost 180 inf + 1
253.671 * * [simplify]: Extracting #5: cost 310 inf + 172
253.673 * * [simplify]: Extracting #6: cost 287 inf + 1782
253.681 * * [simplify]: Extracting #7: cost 203 inf + 22865
253.709 * * [simplify]: Extracting #8: cost 20 inf + 80361
253.728 * * [simplify]: Extracting #9: cost 1 inf + 86588
253.764 * * [simplify]: Extracting #10: cost 0 inf + 86893
253.784 * [simplify]: Simplified to (sqrt (sqrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))
253.784 * [simplify]: Simplified (2 2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))
253.784 * * * * [progress]: [ 156 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (fabs (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
253.784 * * * * [progress]: [ 157 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* 1 (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
253.784 * * * * [progress]: [ 158 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (posit16->real (real->posit16 (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
253.784 * [simplify]: Simplifying (real->posit16 (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))
253.785 * * [simplify]: iters left: 6 (18 enodes)
253.789 * * [simplify]: iters left: 5 (66 enodes)
253.802 * * [simplify]: iters left: 4 (166 enodes)
253.890 * * [simplify]: Extracting #0: cost 1 inf + 0
253.890 * * [simplify]: Extracting #1: cost 2 inf + 0
253.890 * * [simplify]: Extracting #2: cost 3 inf + 0
253.890 * * [simplify]: Extracting #3: cost 12 inf + 0
253.891 * * [simplify]: Extracting #4: cost 179 inf + 1
253.893 * * [simplify]: Extracting #5: cost 307 inf + 172
253.895 * * [simplify]: Extracting #6: cost 284 inf + 1823
253.906 * * [simplify]: Extracting #7: cost 210 inf + 18331
253.934 * * [simplify]: Extracting #8: cost 29 inf + 76483
253.953 * * [simplify]: Extracting #9: cost 1 inf + 85915
253.974 * * [simplify]: Extracting #10: cost 0 inf + 86299
254.013 * [simplify]: Simplified to (real->posit16 (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))
254.013 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (posit16->real (real->posit16 (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))
254.014 * * * * [progress]: [ 159 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (pow (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) 1) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
254.014 * [simplify]: Simplifying (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J))
254.014 * * [simplify]: iters left: 6 (16 enodes)
254.023 * * [simplify]: iters left: 5 (72 enodes)
254.053 * * [simplify]: iters left: 4 (192 enodes)
254.160 * * [simplify]: Extracting #0: cost 1 inf + 0
254.160 * * [simplify]: Extracting #1: cost 8 inf + 0
254.160 * * [simplify]: Extracting #2: cost 14 inf + 1
254.161 * * [simplify]: Extracting #3: cost 20 inf + 1
254.161 * * [simplify]: Extracting #4: cost 116 inf + 4
254.163 * * [simplify]: Extracting #5: cost 322 inf + 663
254.176 * * [simplify]: Extracting #6: cost 263 inf + 40458
254.223 * * [simplify]: Extracting #7: cost 33 inf + 118995
254.264 * * [simplify]: Extracting #8: cost 0 inf + 130524
254.312 * * [simplify]: Extracting #9: cost 0 inf + 130127
254.367 * * [simplify]: Extracting #10: cost 0 inf + 130047
254.398 * [simplify]: Simplified to (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (cos (/ K 2)) J))
254.398 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (/ (* (pow (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (cos (/ K 2)) J)) 1) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
254.399 * * * * [progress]: [ 160 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (pow (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) 1) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
254.399 * [simplify]: Simplifying (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J))
254.399 * * [simplify]: iters left: 6 (16 enodes)
254.408 * * [simplify]: iters left: 5 (72 enodes)
254.431 * * [simplify]: iters left: 4 (192 enodes)
254.552 * * [simplify]: Extracting #0: cost 1 inf + 0
254.552 * * [simplify]: Extracting #1: cost 8 inf + 0
254.552 * * [simplify]: Extracting #2: cost 14 inf + 1
254.552 * * [simplify]: Extracting #3: cost 20 inf + 1
254.553 * * [simplify]: Extracting #4: cost 116 inf + 4
254.555 * * [simplify]: Extracting #5: cost 322 inf + 663
254.567 * * [simplify]: Extracting #6: cost 263 inf + 40458
254.600 * * [simplify]: Extracting #7: cost 33 inf + 118995
254.640 * * [simplify]: Extracting #8: cost 0 inf + 130524
254.687 * * [simplify]: Extracting #9: cost 0 inf + 130127
254.717 * * [simplify]: Extracting #10: cost 0 inf + 130047
254.747 * [simplify]: Simplified to (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (cos (/ K 2)) J))
254.747 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (/ (* (pow (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (cos (/ K 2)) J)) 1) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
254.747 * * * * [progress]: [ 161 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (pow (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) 1) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
254.747 * * * * [progress]: [ 162 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (exp (+ (log (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (+ (log (cos (/ K 2))) (log J)))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
254.747 * [simplify]: Simplifying (+ (log (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (+ (log (cos (/ K 2))) (log J)))
254.748 * * [simplify]: iters left: 6 (20 enodes)
254.753 * * [simplify]: iters left: 5 (85 enodes)
254.782 * * [simplify]: iters left: 4 (205 enodes)
254.958 * * [simplify]: Extracting #0: cost 1 inf + 0
254.958 * * [simplify]: Extracting #1: cost 8 inf + 0
254.958 * * [simplify]: Extracting #2: cost 17 inf + 0
254.958 * * [simplify]: Extracting #3: cost 20 inf + 1
254.959 * * [simplify]: Extracting #4: cost 24 inf + 143
254.959 * * [simplify]: Extracting #5: cost 118 inf + 332
254.960 * * [simplify]: Extracting #6: cost 326 inf + 1827
254.966 * * [simplify]: Extracting #7: cost 286 inf + 34427
255.003 * * [simplify]: Extracting #8: cost 51 inf + 118403
255.040 * * [simplify]: Extracting #9: cost 0 inf + 137893
255.085 * * [simplify]: Extracting #10: cost 0 inf + 137497
255.137 * [simplify]: Simplified to (+ (+ (log J) (log (cos (/ K 2)))) (log (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1))))
255.137 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (/ (* (exp (+ (+ (log J) (log (cos (/ K 2)))) (log (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1))))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
255.138 * * * * [progress]: [ 163 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (exp (+ (log (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log (* (cos (/ K 2)) J)))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
255.138 * [simplify]: Simplifying (+ (log (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log (* (cos (/ K 2)) J)))
255.138 * * [simplify]: iters left: 6 (18 enodes)
255.143 * * [simplify]: iters left: 5 (79 enodes)
255.159 * * [simplify]: iters left: 4 (194 enodes)
255.280 * * [simplify]: Extracting #0: cost 1 inf + 0
255.280 * * [simplify]: Extracting #1: cost 8 inf + 0
255.280 * * [simplify]: Extracting #2: cost 18 inf + 0
255.280 * * [simplify]: Extracting #3: cost 22 inf + 1
255.280 * * [simplify]: Extracting #4: cost 26 inf + 143
255.280 * * [simplify]: Extracting #5: cost 122 inf + 332
255.281 * * [simplify]: Extracting #6: cost 321 inf + 1119
255.286 * * [simplify]: Extracting #7: cost 301 inf + 26869
255.305 * * [simplify]: Extracting #8: cost 94 inf + 96853
255.354 * * [simplify]: Extracting #9: cost 0 inf + 131530
255.402 * [simplify]: Simplified to (+ (log (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1))) (log (* (cos (/ K 2)) J)))
255.403 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (/ (* (exp (+ (log (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1))) (log (* (cos (/ K 2)) J)))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
255.403 * * * * [progress]: [ 164 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (exp (log (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
255.404 * [simplify]: Simplifying (log (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)))
255.404 * * [simplify]: iters left: 6 (17 enodes)
255.413 * * [simplify]: iters left: 5 (78 enodes)
255.443 * * [simplify]: iters left: 4 (209 enodes)
255.567 * * [simplify]: Extracting #0: cost 1 inf + 0
255.567 * * [simplify]: Extracting #1: cost 10 inf + 0
255.567 * * [simplify]: Extracting #2: cost 22 inf + 0
255.567 * * [simplify]: Extracting #3: cost 27 inf + 72
255.567 * * [simplify]: Extracting #4: cost 32 inf + 143
255.568 * * [simplify]: Extracting #5: cost 126 inf + 332
255.569 * * [simplify]: Extracting #6: cost 331 inf + 1928
255.577 * * [simplify]: Extracting #7: cost 344 inf + 19040
255.603 * * [simplify]: Extracting #8: cost 149 inf + 83356
255.642 * * [simplify]: Extracting #9: cost 1 inf + 134931
255.706 * * [simplify]: Extracting #10: cost 0 inf + 135155
255.773 * [simplify]: Simplified to (log (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)))
255.773 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (/ (* (exp (log (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
255.774 * * * * [progress]: [ 165 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (log (exp (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
255.774 * [simplify]: Simplifying (exp (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)))
255.774 * * [simplify]: iters left: 6 (17 enodes)
255.784 * * [simplify]: iters left: 5 (77 enodes)
255.813 * * [simplify]: iters left: 4 (200 enodes)
255.974 * * [simplify]: Extracting #0: cost 1 inf + 0
255.974 * * [simplify]: Extracting #1: cost 17 inf + 0
255.974 * * [simplify]: Extracting #2: cost 30 inf + 72
255.974 * * [simplify]: Extracting #3: cost 38 inf + 73
255.975 * * [simplify]: Extracting #4: cost 134 inf + 403
255.977 * * [simplify]: Extracting #5: cost 329 inf + 2434
255.985 * * [simplify]: Extracting #6: cost 310 inf + 29011
256.004 * * [simplify]: Extracting #7: cost 103 inf + 100437
256.060 * * [simplify]: Extracting #8: cost 0 inf + 135828
256.111 * * [simplify]: Extracting #9: cost 0 inf + 135825
256.168 * [simplify]: Simplified to (exp (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)))
256.168 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (/ (* (log (exp (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
256.169 * * * * [progress]: [ 166 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (cbrt (* (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
256.169 * [simplify]: Simplifying (* (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))
256.170 * * [simplify]: iters left: 6 (23 enodes)
256.182 * * [simplify]: iters left: 5 (101 enodes)
256.222 * * [simplify]: iters left: 4 (292 enodes)
256.412 * * [simplify]: Extracting #0: cost 1 inf + 0
256.413 * * [simplify]: Extracting #1: cost 44 inf + 0
256.413 * * [simplify]: Extracting #2: cost 143 inf + 1
256.415 * * [simplify]: Extracting #3: cost 262 inf + 125
256.424 * * [simplify]: Extracting #4: cost 445 inf + 3892
256.437 * * [simplify]: Extracting #5: cost 373 inf + 50696
256.481 * * [simplify]: Extracting #6: cost 78 inf + 158655
256.565 * * [simplify]: Extracting #7: cost 2 inf + 194874
256.648 * * [simplify]: Extracting #8: cost 0 inf + 195884
256.725 * [simplify]: Simplified to (* (* (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))
256.726 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (/ (* (cbrt (* (* (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
256.726 * * * * [progress]: [ 167 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (cbrt (* (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
256.727 * [simplify]: Simplifying (* (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))
256.727 * * [simplify]: iters left: 6 (20 enodes)
256.739 * * [simplify]: iters left: 5 (95 enodes)
256.781 * * [simplify]: iters left: 4 (296 enodes)
256.961 * * [simplify]: Extracting #0: cost 1 inf + 0
256.962 * * [simplify]: Extracting #1: cost 46 inf + 0
256.963 * * [simplify]: Extracting #2: cost 146 inf + 42
256.964 * * [simplify]: Extracting #3: cost 259 inf + 459
256.968 * * [simplify]: Extracting #4: cost 447 inf + 3147
256.987 * * [simplify]: Extracting #5: cost 376 inf + 48082
257.070 * * [simplify]: Extracting #6: cost 65 inf + 166236
257.154 * * [simplify]: Extracting #7: cost 1 inf + 197127
257.270 * * [simplify]: Extracting #8: cost 0 inf + 197315
257.362 * [simplify]: Simplified to (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1) (* (cos (/ K 2)) J)) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))
257.362 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (/ (* (cbrt (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1) (* (cos (/ K 2)) J)) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
257.363 * * * * [progress]: [ 168 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (* (cbrt (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J))) (cbrt (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)))) (cbrt (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
257.363 * [simplify]: Simplifying (* (cbrt (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J))) (cbrt (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J))))
257.364 * * [simplify]: iters left: 6 (18 enodes)
257.373 * * [simplify]: iters left: 5 (78 enodes)
257.390 * * [simplify]: iters left: 4 (198 enodes)
257.509 * * [simplify]: Extracting #0: cost 1 inf + 0
257.509 * * [simplify]: Extracting #1: cost 3 inf + 0
257.509 * * [simplify]: Extracting #2: cost 5 inf + 0
257.509 * * [simplify]: Extracting #3: cost 12 inf + 0
257.509 * * [simplify]: Extracting #4: cost 18 inf + 1
257.509 * * [simplify]: Extracting #5: cost 24 inf + 1
257.509 * * [simplify]: Extracting #6: cost 117 inf + 190
257.510 * * [simplify]: Extracting #7: cost 325 inf + 1058
257.515 * * [simplify]: Extracting #8: cost 321 inf + 20565
257.532 * * [simplify]: Extracting #9: cost 112 inf + 90435
257.567 * * [simplify]: Extracting #10: cost 0 inf + 131693
257.629 * * [simplify]: Extracting #11: cost 0 inf + 131379
257.690 * [simplify]: Simplified to (* (cbrt (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J))) (cbrt (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J))))
257.691 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (/ (* (* (* (cbrt (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J))) (cbrt (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)))) (cbrt (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
257.692 * [simplify]: Simplifying (cbrt (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)))
257.692 * * [simplify]: iters left: 6 (17 enodes)
257.701 * * [simplify]: iters left: 5 (75 enodes)
257.733 * * [simplify]: iters left: 4 (195 enodes)
257.865 * * [simplify]: Extracting #0: cost 1 inf + 0
257.865 * * [simplify]: Extracting #1: cost 3 inf + 0
257.865 * * [simplify]: Extracting #2: cost 10 inf + 0
257.865 * * [simplify]: Extracting #3: cost 16 inf + 1
257.865 * * [simplify]: Extracting #4: cost 22 inf + 1
257.865 * * [simplify]: Extracting #5: cost 121 inf + 4
257.868 * * [simplify]: Extracting #6: cost 327 inf + 957
257.879 * * [simplify]: Extracting #7: cost 285 inf + 34886
257.926 * * [simplify]: Extracting #8: cost 51 inf + 110624
257.962 * * [simplify]: Extracting #9: cost 0 inf + 130070
258.004 * [simplify]: Simplified to (cbrt (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)))
258.004 * [simplify]: Simplified (2 1 1 2) to (λ (J K U) (/ (* (* (* (cbrt (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J))) (cbrt (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)))) (cbrt (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
258.005 * * * * [progress]: [ 169 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (cbrt (* (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J))) (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
258.005 * [simplify]: Simplifying (* (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J))) (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)))
258.005 * * [simplify]: iters left: 6 (18 enodes)
258.011 * * [simplify]: iters left: 5 (88 enodes)
258.039 * * [simplify]: iters left: 4 (271 enodes)
258.206 * * [simplify]: Extracting #0: cost 1 inf + 0
258.206 * * [simplify]: Extracting #1: cost 43 inf + 0
258.207 * * [simplify]: Extracting #2: cost 131 inf + 43
258.207 * * [simplify]: Extracting #3: cost 230 inf + 298
258.209 * * [simplify]: Extracting #4: cost 441 inf + 2315
258.223 * * [simplify]: Extracting #5: cost 379 inf + 43520
258.292 * * [simplify]: Extracting #6: cost 64 inf + 156660
258.389 * * [simplify]: Extracting #7: cost 2 inf + 185249
258.475 * * [simplify]: Extracting #8: cost 0 inf + 186100
258.579 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) (* (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)))
258.580 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (/ (* (cbrt (* (* (* (cos (/ K 2)) J) (* (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
258.580 * * * * [progress]: [ 170 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J))) (sqrt (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
258.581 * [simplify]: Simplifying (sqrt (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)))
258.581 * * [simplify]: iters left: 6 (17 enodes)
258.590 * * [simplify]: iters left: 5 (75 enodes)
258.619 * * [simplify]: iters left: 4 (195 enodes)
258.762 * * [simplify]: Extracting #0: cost 1 inf + 0
258.762 * * [simplify]: Extracting #1: cost 3 inf + 0
258.762 * * [simplify]: Extracting #2: cost 10 inf + 0
258.762 * * [simplify]: Extracting #3: cost 16 inf + 1
258.762 * * [simplify]: Extracting #4: cost 22 inf + 1
258.763 * * [simplify]: Extracting #5: cost 121 inf + 4
258.764 * * [simplify]: Extracting #6: cost 327 inf + 957
258.769 * * [simplify]: Extracting #7: cost 285 inf + 34886
258.810 * * [simplify]: Extracting #8: cost 51 inf + 110544
258.869 * * [simplify]: Extracting #9: cost 0 inf + 129990
258.932 * [simplify]: Simplified to (sqrt (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)))
258.932 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (/ (* (* (sqrt (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J))) (sqrt (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
258.933 * [simplify]: Simplifying (sqrt (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)))
258.934 * * [simplify]: iters left: 6 (17 enodes)
258.942 * * [simplify]: iters left: 5 (75 enodes)
258.971 * * [simplify]: iters left: 4 (195 enodes)
259.073 * * [simplify]: Extracting #0: cost 1 inf + 0
259.073 * * [simplify]: Extracting #1: cost 3 inf + 0
259.073 * * [simplify]: Extracting #2: cost 10 inf + 0
259.074 * * [simplify]: Extracting #3: cost 16 inf + 1
259.074 * * [simplify]: Extracting #4: cost 22 inf + 1
259.074 * * [simplify]: Extracting #5: cost 121 inf + 4
259.078 * * [simplify]: Extracting #6: cost 327 inf + 957
259.084 * * [simplify]: Extracting #7: cost 285 inf + 34886
259.105 * * [simplify]: Extracting #8: cost 51 inf + 110544
259.149 * * [simplify]: Extracting #9: cost 0 inf + 129990
259.193 * [simplify]: Simplified to (sqrt (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)))
259.193 * [simplify]: Simplified (2 1 1 2) to (λ (J K U) (/ (* (* (sqrt (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J))) (sqrt (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
259.194 * * * * [progress]: [ 171 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* 1 (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
259.194 * * * * [progress]: [ 172 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (cos (/ K 2))) J) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
259.194 * [simplify]: Simplifying (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (cos (/ K 2)))
259.194 * * [simplify]: iters left: 6 (16 enodes)
259.205 * * [simplify]: iters left: 5 (70 enodes)
259.223 * * [simplify]: iters left: 4 (179 enodes)
259.348 * * [simplify]: Extracting #0: cost 1 inf + 0
259.348 * * [simplify]: Extracting #1: cost 4 inf + 0
259.348 * * [simplify]: Extracting #2: cost 8 inf + 0
259.348 * * [simplify]: Extracting #3: cost 14 inf + 0
259.349 * * [simplify]: Extracting #4: cost 112 inf + 3
259.351 * * [simplify]: Extracting #5: cost 332 inf + 519
259.362 * * [simplify]: Extracting #6: cost 302 inf + 28675
259.388 * * [simplify]: Extracting #7: cost 85 inf + 101348
259.426 * * [simplify]: Extracting #8: cost 0 inf + 131516
259.471 * * [simplify]: Extracting #9: cost 0 inf + 131513
259.534 * [simplify]: Simplified to (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (cos (/ K 2)))
259.534 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (/ (* (* (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (cos (/ K 2))) J) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
259.535 * * * * [progress]: [ 173 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (* (cbrt (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (cbrt (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))) (* (cbrt (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (cos (/ K 2)) J))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
259.535 * [simplify]: Simplifying (* (cbrt (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (cos (/ K 2)) J))
259.535 * * [simplify]: iters left: 6 (17 enodes)
259.544 * * [simplify]: iters left: 5 (75 enodes)
259.559 * * [simplify]: iters left: 4 (195 enodes)
259.696 * * [simplify]: Extracting #0: cost 1 inf + 0
259.696 * * [simplify]: Extracting #1: cost 8 inf + 0
259.696 * * [simplify]: Extracting #2: cost 14 inf + 1
259.696 * * [simplify]: Extracting #3: cost 19 inf + 1
259.696 * * [simplify]: Extracting #4: cost 20 inf + 3
259.696 * * [simplify]: Extracting #5: cost 117 inf + 333
259.697 * * [simplify]: Extracting #6: cost 327 inf + 1555
259.703 * * [simplify]: Extracting #7: cost 282 inf + 36402
259.733 * * [simplify]: Extracting #8: cost 45 inf + 115159
259.780 * * [simplify]: Extracting #9: cost 0 inf + 132222
259.829 * [simplify]: Simplified to (* (cbrt (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1))) (* (cos (/ K 2)) J))
259.830 * [simplify]: Simplified (2 1 1 2) to (λ (J K U) (/ (* (* (* (cbrt (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (cbrt (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))) (* (cbrt (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1))) (* (cos (/ K 2)) J))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
259.830 * * * * [progress]: [ 174 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (* (cbrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (cbrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))) (* (sqrt (cbrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (cos (/ K 2)) J))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
259.831 * [simplify]: Simplifying (* (sqrt (cbrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (cos (/ K 2)) J))
259.831 * * [simplify]: iters left: 6 (17 enodes)
259.840 * * [simplify]: iters left: 5 (75 enodes)
259.870 * * [simplify]: iters left: 4 (195 enodes)
260.023 * * [simplify]: Extracting #0: cost 1 inf + 0
260.023 * * [simplify]: Extracting #1: cost 8 inf + 0
260.024 * * [simplify]: Extracting #2: cost 14 inf + 1
260.024 * * [simplify]: Extracting #3: cost 19 inf + 1
260.024 * * [simplify]: Extracting #4: cost 20 inf + 3
260.024 * * [simplify]: Extracting #5: cost 117 inf + 333
260.031 * * [simplify]: Extracting #6: cost 327 inf + 1555
260.043 * * [simplify]: Extracting #7: cost 282 inf + 36482
260.073 * * [simplify]: Extracting #8: cost 45 inf + 115239
260.122 * * [simplify]: Extracting #9: cost 0 inf + 132302
260.173 * [simplify]: Simplified to (* (sqrt (cbrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1))) (* (cos (/ K 2)) J))
260.173 * [simplify]: Simplified (2 1 1 2) to (λ (J K U) (/ (* (* (sqrt (* (cbrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (cbrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))))) (* (sqrt (cbrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1))) (* (cos (/ K 2)) J))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
260.173 * * * * [progress]: [ 175 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (sqrt (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (cos (/ K 2)) J))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
260.174 * [simplify]: Simplifying (* (sqrt (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (cos (/ K 2)) J))
260.174 * * [simplify]: iters left: 6 (17 enodes)
260.180 * * [simplify]: iters left: 5 (75 enodes)
260.198 * * [simplify]: iters left: 4 (195 enodes)
260.355 * * [simplify]: Extracting #0: cost 1 inf + 0
260.355 * * [simplify]: Extracting #1: cost 8 inf + 0
260.355 * * [simplify]: Extracting #2: cost 14 inf + 1
260.356 * * [simplify]: Extracting #3: cost 19 inf + 1
260.356 * * [simplify]: Extracting #4: cost 20 inf + 3
260.356 * * [simplify]: Extracting #5: cost 117 inf + 333
260.358 * * [simplify]: Extracting #6: cost 327 inf + 1555
260.373 * * [simplify]: Extracting #7: cost 282 inf + 36242
260.396 * * [simplify]: Extracting #8: cost 45 inf + 114839
260.432 * * [simplify]: Extracting #9: cost 0 inf + 131902
260.478 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1))) (* (cos (/ K 2)) J))
260.478 * [simplify]: Simplified (2 1 1 2) to (λ (J K U) (/ (* (* (sqrt (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (sqrt (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1))) (* (cos (/ K 2)) J))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
260.479 * * * * [progress]: [ 176 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt 1) (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
260.479 * [simplify]: Simplifying (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J))
260.480 * * [simplify]: iters left: 6 (16 enodes)
260.489 * * [simplify]: iters left: 5 (72 enodes)
260.519 * * [simplify]: iters left: 4 (192 enodes)
260.630 * * [simplify]: Extracting #0: cost 1 inf + 0
260.630 * * [simplify]: Extracting #1: cost 8 inf + 0
260.630 * * [simplify]: Extracting #2: cost 14 inf + 1
260.630 * * [simplify]: Extracting #3: cost 20 inf + 1
260.631 * * [simplify]: Extracting #4: cost 116 inf + 4
260.632 * * [simplify]: Extracting #5: cost 322 inf + 663
260.645 * * [simplify]: Extracting #6: cost 263 inf + 40458
260.692 * * [simplify]: Extracting #7: cost 33 inf + 118995
260.738 * * [simplify]: Extracting #8: cost 0 inf + 130524
260.780 * * [simplify]: Extracting #9: cost 0 inf + 130127
260.814 * * [simplify]: Extracting #10: cost 0 inf + 130047
260.851 * [simplify]: Simplified to (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (cos (/ K 2)) J))
260.851 * [simplify]: Simplified (2 1 1 2) to (λ (J K U) (/ (* (* (sqrt 1) (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (cos (/ K 2)) J))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
260.852 * * * * [progress]: [ 177 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (sqrt (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (cos (/ K 2)) J))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
260.852 * [simplify]: Simplifying (* (sqrt (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (cos (/ K 2)) J))
260.852 * * [simplify]: iters left: 6 (17 enodes)
260.857 * * [simplify]: iters left: 5 (75 enodes)
260.884 * * [simplify]: iters left: 4 (195 enodes)
261.023 * * [simplify]: Extracting #0: cost 1 inf + 0
261.023 * * [simplify]: Extracting #1: cost 8 inf + 0
261.024 * * [simplify]: Extracting #2: cost 14 inf + 1
261.024 * * [simplify]: Extracting #3: cost 19 inf + 1
261.024 * * [simplify]: Extracting #4: cost 20 inf + 3
261.024 * * [simplify]: Extracting #5: cost 117 inf + 333
261.027 * * [simplify]: Extracting #6: cost 327 inf + 1555
261.040 * * [simplify]: Extracting #7: cost 282 inf + 36242
261.084 * * [simplify]: Extracting #8: cost 45 inf + 114839
261.138 * * [simplify]: Extracting #9: cost 0 inf + 131902
261.180 * [simplify]: Simplified to (* (sqrt (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1))) (* (cos (/ K 2)) J))
261.181 * [simplify]: Simplified (2 1 1 2) to (λ (J K U) (/ (* (* (sqrt (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (sqrt (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1))) (* (cos (/ K 2)) J))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
261.181 * * * * [progress]: [ 178 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* 1 (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
261.182 * [simplify]: Simplifying (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J))
261.182 * * [simplify]: iters left: 6 (16 enodes)
261.191 * * [simplify]: iters left: 5 (72 enodes)
261.220 * * [simplify]: iters left: 4 (192 enodes)
261.381 * * [simplify]: Extracting #0: cost 1 inf + 0
261.381 * * [simplify]: Extracting #1: cost 8 inf + 0
261.381 * * [simplify]: Extracting #2: cost 14 inf + 1
261.381 * * [simplify]: Extracting #3: cost 20 inf + 1
261.381 * * [simplify]: Extracting #4: cost 116 inf + 4
261.383 * * [simplify]: Extracting #5: cost 322 inf + 663
261.396 * * [simplify]: Extracting #6: cost 263 inf + 40458
261.439 * * [simplify]: Extracting #7: cost 33 inf + 118995
261.497 * * [simplify]: Extracting #8: cost 0 inf + 130524
261.559 * * [simplify]: Extracting #9: cost 0 inf + 130127
261.616 * * [simplify]: Extracting #10: cost 0 inf + 130047
261.663 * [simplify]: Simplified to (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (cos (/ K 2)) J))
261.663 * [simplify]: Simplified (2 1 1 2) to (λ (J K U) (/ (* (* 1 (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (cos (/ K 2)) J))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
261.664 * * * * [progress]: [ 179 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (/ (* (sqrt (+ (pow 1 3) (pow (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) 3))) (* (cos (/ K 2)) J)) (sqrt (+ (* 1 1) (- (* (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
261.664 * [simplify]: Simplifying (* (sqrt (+ (pow 1 3) (pow (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) 3))) (* (cos (/ K 2)) J))
261.664 * * [simplify]: iters left: 6 (19 enodes)
261.671 * * [simplify]: iters left: 5 (91 enodes)
261.693 * * [simplify]: iters left: 4 (260 enodes)
261.913 * * [simplify]: Extracting #0: cost 1 inf + 0
261.913 * * [simplify]: Extracting #1: cost 8 inf + 0
261.913 * * [simplify]: Extracting #2: cost 14 inf + 1
261.913 * * [simplify]: Extracting #3: cost 20 inf + 1
261.914 * * [simplify]: Extracting #4: cost 80 inf + 4
261.922 * * [simplify]: Extracting #5: cost 452 inf + 293
261.937 * * [simplify]: Extracting #6: cost 498 inf + 32137
261.980 * * [simplify]: Extracting #7: cost 108 inf + 175935
262.088 * * [simplify]: Extracting #8: cost 0 inf + 223087
262.177 * * [simplify]: Extracting #9: cost 0 inf + 222575
262.259 * [simplify]: Simplified to (* (sqrt (+ (* (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) 1)) (* (cos (/ K 2)) J))
262.259 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (/ (* (/ (* (sqrt (+ (* (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) 1)) (* (cos (/ K 2)) J)) (sqrt (+ (* 1 1) (- (* (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
262.260 * * * * [progress]: [ 180 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (/ (* (sqrt (- (* 1 1) (* (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (cos (/ K 2)) J)) (sqrt (- 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
262.261 * [simplify]: Simplifying (* (sqrt (- (* 1 1) (* (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (cos (/ K 2)) J))
262.261 * * [simplify]: iters left: 6 (18 enodes)
262.273 * * [simplify]: iters left: 5 (83 enodes)
262.310 * * [simplify]: iters left: 4 (259 enodes)
262.605 * * [simplify]: Extracting #0: cost 1 inf + 0
262.605 * * [simplify]: Extracting #1: cost 8 inf + 0
262.606 * * [simplify]: Extracting #2: cost 14 inf + 1
262.606 * * [simplify]: Extracting #3: cost 21 inf + 1
262.606 * * [simplify]: Extracting #4: cost 134 inf + 46
262.609 * * [simplify]: Extracting #5: cost 540 inf + 804
262.629 * * [simplify]: Extracting #6: cost 412 inf + 92387
262.696 * * [simplify]: Extracting #7: cost 15 inf + 264713
262.809 * * [simplify]: Extracting #8: cost 0 inf + 249288
262.917 * * [simplify]: Extracting #9: cost 0 inf + 247933
263.024 * [simplify]: Simplified to (* (* J (cos (/ K 2))) (sqrt (- 1 (* (* (* (/ U (* (* (cos (/ K 2)) 2) J)) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) (* (/ U (* (* (cos (/ K 2)) 2) J)) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))))) (* (* (/ U (* (* (cos (/ K 2)) 2) J)) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) (* (/ U (* (* (cos (/ K 2)) 2) J)) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))))))))
263.024 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (/ (* (/ (* (* J (cos (/ K 2))) (sqrt (- 1 (* (* (* (/ U (* (* (cos (/ K 2)) 2) J)) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) (* (/ U (* (* (cos (/ K 2)) 2) J)) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))))) (* (* (/ U (* (* (cos (/ K 2)) 2) J)) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) (* (/ U (* (* (cos (/ K 2)) 2) J)) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J))))))))) (sqrt (- 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
263.025 * * * * [progress]: [ 181 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (posit16->real (real->posit16 (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
263.025 * [simplify]: Simplifying (real->posit16 (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)))
263.025 * * [simplify]: iters left: 6 (17 enodes)
263.030 * * [simplify]: iters left: 5 (72 enodes)
263.045 * * [simplify]: iters left: 4 (192 enodes)
263.206 * * [simplify]: Extracting #0: cost 1 inf + 0
263.206 * * [simplify]: Extracting #1: cost 2 inf + 0
263.206 * * [simplify]: Extracting #2: cost 8 inf + 0
263.206 * * [simplify]: Extracting #3: cost 14 inf + 1
263.206 * * [simplify]: Extracting #4: cost 20 inf + 1
263.206 * * [simplify]: Extracting #5: cost 118 inf + 4
263.208 * * [simplify]: Extracting #6: cost 327 inf + 916
263.220 * * [simplify]: Extracting #7: cost 269 inf + 41654
263.266 * * [simplify]: Extracting #8: cost 30 inf + 121037
263.301 * * [simplify]: Extracting #9: cost 0 inf + 132519
263.363 * [simplify]: Simplified to (real->posit16 (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)))
263.363 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (/ (* (posit16->real (real->posit16 (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
263.364 * * * * [progress]: [ 182 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (* (cos (/ K 2)) J) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
263.364 * * * * [progress]: [ 183 / 194 ] simplifiying candidate #<alt (λ (J K U) (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))))>
263.364 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J))))
263.364 * * [simplify]: iters left: 6 (10 enodes)
263.371 * * [simplify]: iters left: 5 (43 enodes)
263.386 * * [simplify]: iters left: 4 (79 enodes)
263.410 * * [simplify]: iters left: 3 (118 enodes)
263.445 * * [simplify]: iters left: 2 (171 enodes)
263.492 * * [simplify]: iters left: 1 (241 enodes)
263.562 * * [simplify]: Extracting #0: cost 1 inf + 0
263.562 * * [simplify]: Extracting #1: cost 6 inf + 0
263.563 * * [simplify]: Extracting #2: cost 41 inf + 0
263.563 * * [simplify]: Extracting #3: cost 56 inf + 213
263.565 * * [simplify]: Extracting #4: cost 20 inf + 2774
263.567 * * [simplify]: Extracting #5: cost 2 inf + 4494
263.570 * * [simplify]: Extracting #6: cost 0 inf + 4698
263.573 * [simplify]: Simplified to (- (* -2 J) (/ (* U U) (/ J 1/4)))
263.573 * [simplify]: Simplified (2) to (λ (J K U) (- (* -2 J) (/ (* U U) (/ J 1/4))))
263.573 * * * * [progress]: [ 184 / 194 ] simplifiying candidate #<alt (λ (J K U) (* -1 U))>
263.573 * [simplify]: Simplifying (* -1 U)
263.573 * * [simplify]: iters left: 2 (3 enodes)
263.575 * * [simplify]: iters left: 1 (11 enodes)
263.578 * * [simplify]: Extracting #0: cost 1 inf + 0
263.578 * * [simplify]: Extracting #1: cost 4 inf + 0
263.579 * * [simplify]: Extracting #2: cost 0 inf + 84
263.579 * [simplify]: Simplified to (- U)
263.579 * [simplify]: Simplified (2) to (λ (J K U) (- U))
263.579 * * * * [progress]: [ 185 / 194 ] simplifiying candidate #<alt (λ (J K U) (* -1 U))>
263.579 * [simplify]: Simplifying (* -1 U)
263.579 * * [simplify]: iters left: 2 (3 enodes)
263.581 * * [simplify]: iters left: 1 (11 enodes)
263.584 * * [simplify]: Extracting #0: cost 1 inf + 0
263.584 * * [simplify]: Extracting #1: cost 4 inf + 0
263.584 * * [simplify]: Extracting #2: cost 0 inf + 84
263.584 * [simplify]: Simplified to (- U)
263.584 * [simplify]: Simplified (2) to (λ (J K U) (- U))
263.584 * * * * [progress]: [ 186 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2)))))))>
263.585 * [simplify]: Simplifying (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2))))
263.585 * * [simplify]: iters left: 6 (17 enodes)
263.595 * * [simplify]: iters left: 5 (76 enodes)
263.624 * * [simplify]: iters left: 4 (132 enodes)
263.665 * * [simplify]: iters left: 3 (268 enodes)
263.757 * * [simplify]: Extracting #0: cost 1 inf + 0
263.757 * * [simplify]: Extracting #1: cost 10 inf + 0
263.758 * * [simplify]: Extracting #2: cost 132 inf + 1
263.759 * * [simplify]: Extracting #3: cost 233 inf + 707
263.761 * * [simplify]: Extracting #4: cost 148 inf + 13019
263.767 * * [simplify]: Extracting #5: cost 5 inf + 30898
263.778 * * [simplify]: Extracting #6: cost 0 inf + 29944
263.788 * [simplify]: Simplified to (+ (* (* (/ U J) (/ U J)) (+ -1/4 (* 1/16 (* (/ U J) (/ U J))))) 1)
263.788 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U J) (/ U J)) (+ -1/4 (* 1/16 (* (/ U J) (/ U J))))) 1))))
263.788 * * * * [progress]: [ 187 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt 0)))>
263.789 * [simplify]: Simplifying 0
263.789 * * [simplify]: iters left: 0 (1 enodes)
263.789 * * [simplify]: Extracting #0: cost 1 inf + 0
263.789 * * [simplify]: Extracting #1: cost 0 inf + 1
263.789 * [simplify]: Simplified to 0
263.789 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt 0)))
263.790 * * * * [progress]: [ 188 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt 0)))>
263.790 * [simplify]: Simplifying 0
263.790 * * [simplify]: iters left: 0 (1 enodes)
263.791 * * [simplify]: Extracting #0: cost 1 inf + 0
263.791 * * [simplify]: Extracting #1: cost 0 inf + 1
263.791 * [simplify]: Simplified to 0
263.791 * [simplify]: Simplified (2 2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt 0)))
263.791 * * * * [progress]: [ 189 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (- 1 (+ (* 1/32 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/8 (/ (pow U 2) (pow J 2)))))))>
263.791 * [simplify]: Simplifying (- 1 (+ (* 1/32 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/8 (/ (pow U 2) (pow J 2)))))
263.791 * * [simplify]: iters left: 6 (17 enodes)
263.797 * * [simplify]: iters left: 5 (77 enodes)
263.814 * * [simplify]: iters left: 4 (155 enodes)
263.870 * * [simplify]: iters left: 3 (482 enodes)
264.460 * * [simplify]: Extracting #0: cost 1 inf + 0
264.461 * * [simplify]: Extracting #1: cost 15 inf + 0
264.461 * * [simplify]: Extracting #2: cost 226 inf + 1
264.466 * * [simplify]: Extracting #3: cost 315 inf + 6240
264.485 * * [simplify]: Extracting #4: cost 56 inf + 40297
264.512 * * [simplify]: Extracting #5: cost 0 inf + 47766
264.539 * * [simplify]: Extracting #6: cost 0 inf + 47406
264.557 * * [simplify]: Extracting #7: cost 0 inf + 47366
264.571 * [simplify]: Simplified to (- 1 (* (/ (* U U) J) (+ (/ (* (* K 1/32) K) J) (/ 1/8 J))))
264.571 * [simplify]: Simplified (2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (- 1 (* (/ (* U U) J) (+ (/ (* (* K 1/32) K) J) (/ 1/8 J))))))
264.571 * * * * [progress]: [ 190 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (- (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1/2)))>
264.572 * [simplify]: Simplifying (- (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1/2)
264.572 * * [simplify]: iters left: 6 (15 enodes)
264.581 * * [simplify]: iters left: 5 (66 enodes)
264.604 * * [simplify]: iters left: 4 (129 enodes)
264.644 * * [simplify]: iters left: 3 (416 enodes)
264.802 * * [simplify]: Extracting #0: cost 1 inf + 0
264.802 * * [simplify]: Extracting #1: cost 5 inf + 0
264.802 * * [simplify]: Extracting #2: cost 134 inf + 2
264.804 * * [simplify]: Extracting #3: cost 286 inf + 128
264.807 * * [simplify]: Extracting #4: cost 251 inf + 3140
264.812 * * [simplify]: Extracting #5: cost 230 inf + 5274
264.820 * * [simplify]: Extracting #6: cost 162 inf + 19266
264.845 * * [simplify]: Extracting #7: cost 16 inf + 53279
264.873 * * [simplify]: Extracting #8: cost 0 inf + 56618
264.906 * * [simplify]: Extracting #9: cost 0 inf + 56578
264.934 * [simplify]: Simplified to (- (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 1/2)
264.934 * [simplify]: Simplified (2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (- (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 1/2)))
264.934 * * * * [progress]: [ 191 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (- (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1/2)))>
264.935 * [simplify]: Simplifying (- (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1/2)
264.935 * * [simplify]: iters left: 6 (15 enodes)
264.944 * * [simplify]: iters left: 5 (66 enodes)
264.968 * * [simplify]: iters left: 4 (129 enodes)
265.034 * * [simplify]: iters left: 3 (416 enodes)
265.248 * * [simplify]: Extracting #0: cost 1 inf + 0
265.248 * * [simplify]: Extracting #1: cost 5 inf + 0
265.249 * * [simplify]: Extracting #2: cost 134 inf + 2
265.250 * * [simplify]: Extracting #3: cost 286 inf + 128
265.251 * * [simplify]: Extracting #4: cost 251 inf + 3140
265.253 * * [simplify]: Extracting #5: cost 230 inf + 5274
265.258 * * [simplify]: Extracting #6: cost 162 inf + 19266
265.273 * * [simplify]: Extracting #7: cost 16 inf + 53279
265.300 * * [simplify]: Extracting #8: cost 0 inf + 56618
265.318 * * [simplify]: Extracting #9: cost 0 inf + 56578
265.344 * [simplify]: Simplified to (- (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 1/2)
265.345 * [simplify]: Simplified (2 2) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (- (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 1/2)))
265.345 * * * * [progress]: [ 192 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* J -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
265.345 * [simplify]: Simplifying J
265.345 * * [simplify]: iters left: 0 (1 enodes)
265.345 * * [simplify]: Extracting #0: cost 1 inf + 0
265.345 * * [simplify]: Extracting #1: cost 0 inf + 1
265.345 * [simplify]: Simplified to J
265.345 * [simplify]: Simplified (2 1 1) to (λ (J K U) (/ (* J -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
265.346 * * * * [progress]: [ 193 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* 0 -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
265.346 * [simplify]: Simplifying 0
265.346 * * [simplify]: iters left: 0 (1 enodes)
265.347 * * [simplify]: Extracting #0: cost 1 inf + 0
265.347 * * [simplify]: Extracting #1: cost 0 inf + 1
265.347 * [simplify]: Simplified to 0
265.347 * [simplify]: Simplified (2 1 1) to (λ (J K U) (/ (* 0 -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
265.347 * * * * [progress]: [ 194 / 194 ] simplifiying candidate #<alt (λ (J K U) (/ (* 0 -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))>
265.347 * [simplify]: Simplifying 0
265.347 * * [simplify]: iters left: 0 (1 enodes)
265.348 * * [simplify]: Extracting #0: cost 1 inf + 0
265.348 * * [simplify]: Extracting #1: cost 0 inf + 1
265.348 * [simplify]: Simplified to 0
265.348 * [simplify]: Simplified (2 1 1) to (λ (J K U) (/ (* 0 -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
265.348 * * * [progress]: adding candidates to table
269.708 * * [progress]: iteration 4 / 4
269.708 * * * [progress]: picking best candidate
269.765 * * * * [pick]: Picked  #<alt (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
269.765 * * * [progress]: localizing error
269.908 * * * [progress]: generating rewritten candidates
269.908 * * * * [progress]: [ 1 / 4 ] rewriting at (2)
272.796 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1)
274.193 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1)
275.646 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2)
278.564 * * * [progress]: generating series expansions
278.564 * * * * [progress]: [ 1 / 4 ] generating series at (2)
278.570 * [backup-simplify]: Simplify (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))))
278.570 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))))) in (U K J) around 0
278.570 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))))) in J
278.570 * [taylor]: Taking taylor expansion of -2 in J
278.570 * [backup-simplify]: Simplify -2 into -2
278.570 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))) in J
278.570 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
278.570 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
278.570 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
278.570 * [taylor]: Taking taylor expansion of 1/2 in J
278.570 * [backup-simplify]: Simplify 1/2 into 1/2
278.570 * [taylor]: Taking taylor expansion of K in J
278.570 * [backup-simplify]: Simplify K into K
278.571 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
278.571 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
278.571 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
278.571 * [taylor]: Taking taylor expansion of J in J
278.571 * [backup-simplify]: Simplify 0 into 0
278.571 * [backup-simplify]: Simplify 1 into 1
278.571 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) in J
278.571 * [taylor]: Taking taylor expansion of (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) in J
278.571 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) in J
278.571 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) in J
278.571 * [taylor]: Taking taylor expansion of 1/64 in J
278.571 * [backup-simplify]: Simplify 1/64 into 1/64
278.571 * [taylor]: Taking taylor expansion of (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6))) in J
278.571 * [taylor]: Taking taylor expansion of (pow U 6) in J
278.571 * [taylor]: Taking taylor expansion of U in J
278.571 * [backup-simplify]: Simplify U into U
278.571 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 6) (pow J 6)) in J
278.571 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 6) in J
278.571 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
278.571 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
278.571 * [taylor]: Taking taylor expansion of 1/2 in J
278.571 * [backup-simplify]: Simplify 1/2 into 1/2
278.571 * [taylor]: Taking taylor expansion of K in J
278.571 * [backup-simplify]: Simplify K into K
278.571 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
278.572 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
278.572 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
278.572 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
278.572 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
278.572 * [backup-simplify]: Simplify (- 0) into 0
278.572 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
278.572 * [taylor]: Taking taylor expansion of (pow J 6) in J
278.572 * [taylor]: Taking taylor expansion of J in J
278.572 * [backup-simplify]: Simplify 0 into 0
278.572 * [backup-simplify]: Simplify 1 into 1
278.573 * [backup-simplify]: Simplify (* U U) into (pow U 2)
278.573 * [backup-simplify]: Simplify (* U (pow U 2)) into (pow U 3)
278.573 * [backup-simplify]: Simplify (* (pow U 3) (pow U 3)) into (pow U 6)
278.573 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
278.573 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 3)
278.573 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 3) (pow (cos (* 1/2 K)) 3)) into (pow (cos (* 1/2 K)) 6)
278.574 * [backup-simplify]: Simplify (* 1 1) into 1
278.574 * [backup-simplify]: Simplify (* 1 1) into 1
278.574 * [backup-simplify]: Simplify (* 1 1) into 1
278.574 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 6) 1) into (pow (cos (* 1/2 K)) 6)
278.575 * [backup-simplify]: Simplify (/ (pow U 6) (pow (cos (* 1/2 K)) 6)) into (/ (pow U 6) (pow (cos (* 1/2 K)) 6))
278.575 * [taylor]: Taking taylor expansion of 1 in J
278.575 * [backup-simplify]: Simplify 1 into 1
278.575 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in J
278.575 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in J
278.575 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in J
278.575 * [taylor]: Taking taylor expansion of 1/16 in J
278.575 * [backup-simplify]: Simplify 1/16 into 1/16
278.575 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in J
278.575 * [taylor]: Taking taylor expansion of (pow U 4) in J
278.575 * [taylor]: Taking taylor expansion of U in J
278.575 * [backup-simplify]: Simplify U into U
278.575 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in J
278.575 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in J
278.575 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
278.575 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
278.575 * [taylor]: Taking taylor expansion of 1/2 in J
278.575 * [backup-simplify]: Simplify 1/2 into 1/2
278.575 * [taylor]: Taking taylor expansion of K in J
278.575 * [backup-simplify]: Simplify K into K
278.575 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
278.575 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
278.575 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
278.575 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
278.576 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
278.576 * [backup-simplify]: Simplify (- 0) into 0
278.576 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
278.576 * [taylor]: Taking taylor expansion of (pow J 4) in J
278.576 * [taylor]: Taking taylor expansion of J in J
278.576 * [backup-simplify]: Simplify 0 into 0
278.576 * [backup-simplify]: Simplify 1 into 1
278.576 * [backup-simplify]: Simplify (* U U) into (pow U 2)
278.576 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
278.576 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
278.577 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 4)
278.577 * [backup-simplify]: Simplify (* 1 1) into 1
278.577 * [backup-simplify]: Simplify (* 1 1) into 1
278.578 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 4) 1) into (pow (cos (* 1/2 K)) 4)
278.578 * [backup-simplify]: Simplify (/ (pow U 4) (pow (cos (* 1/2 K)) 4)) into (/ (pow U 4) (pow (cos (* 1/2 K)) 4))
278.578 * [taylor]: Taking taylor expansion of 1 in J
278.578 * [backup-simplify]: Simplify 1 into 1
278.578 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
278.578 * [taylor]: Taking taylor expansion of 1/4 in J
278.578 * [backup-simplify]: Simplify 1/4 into 1/4
278.578 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
278.578 * [taylor]: Taking taylor expansion of (pow U 2) in J
278.578 * [taylor]: Taking taylor expansion of U in J
278.578 * [backup-simplify]: Simplify U into U
278.578 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
278.578 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
278.578 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
278.578 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
278.578 * [taylor]: Taking taylor expansion of 1/2 in J
278.578 * [backup-simplify]: Simplify 1/2 into 1/2
278.578 * [taylor]: Taking taylor expansion of K in J
278.578 * [backup-simplify]: Simplify K into K
278.578 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
278.578 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
278.578 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
278.578 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
278.579 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
278.579 * [backup-simplify]: Simplify (- 0) into 0
278.579 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
278.579 * [taylor]: Taking taylor expansion of (pow J 2) in J
278.579 * [taylor]: Taking taylor expansion of J in J
278.579 * [backup-simplify]: Simplify 0 into 0
278.579 * [backup-simplify]: Simplify 1 into 1
278.579 * [backup-simplify]: Simplify (* U U) into (pow U 2)
278.579 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
278.580 * [backup-simplify]: Simplify (* 1 1) into 1
278.580 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
278.580 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
278.580 * [backup-simplify]: Simplify (* 1/64 (/ (pow U 6) (pow (cos (* 1/2 K)) 6))) into (* 1/64 (/ (pow U 6) (pow (cos (* 1/2 K)) 6)))
278.581 * [backup-simplify]: Simplify (+ (* 1/64 (/ (pow U 6) (pow (cos (* 1/2 K)) 6))) 0) into (* 1/64 (/ (pow U 6) (pow (cos (* 1/2 K)) 6)))
278.581 * [backup-simplify]: Simplify (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4))) into (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))
278.581 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4))) 0) into (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))
278.581 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4))) 0) into (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))
278.582 * [backup-simplify]: Simplify (/ (* 1/64 (/ (pow U 6) (pow (cos (* 1/2 K)) 6))) (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
278.582 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
278.582 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
278.582 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (pow U 2))) into 0
278.582 * [backup-simplify]: Simplify (+ (* (pow U 3) 0) (* 0 (pow U 3))) into 0
278.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
278.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
278.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
278.585 * [backup-simplify]: Simplify (+ 0) into 0
278.585 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
278.586 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
278.587 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
278.587 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
278.587 * [backup-simplify]: Simplify (- 0) into 0
278.588 * [backup-simplify]: Simplify (+ 0 0) into 0
278.588 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
278.588 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (pow (cos (* 1/2 K)) 2))) into 0
278.588 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 3) 0) (* 0 (pow (cos (* 1/2 K)) 3))) into 0
278.589 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 6) 0) (* 0 1)) into 0
278.589 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 6)) (+ (* (/ (pow U 6) (pow (cos (* 1/2 K)) 6)) (/ 0 (pow (cos (* 1/2 K)) 6))))) into 0
278.590 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow U 6) (pow (cos (* 1/2 K)) 6)))) into 0
278.590 * [backup-simplify]: Simplify (+ 0 0) into 0
278.590 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
278.591 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow U 2))) into 0
278.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
278.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
278.592 * [backup-simplify]: Simplify (+ 0) into 0
278.593 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
278.593 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
278.594 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
278.595 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
278.595 * [backup-simplify]: Simplify (- 0) into 0
278.595 * [backup-simplify]: Simplify (+ 0 0) into 0
278.596 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
278.596 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow (cos (* 1/2 K)) 2))) into 0
278.596 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 4) 0) (* 0 1)) into 0
278.597 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 4)) (+ (* (/ (pow U 4) (pow (cos (* 1/2 K)) 4)) (/ 0 (pow (cos (* 1/2 K)) 4))))) into 0
278.597 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))) into 0
278.598 * [backup-simplify]: Simplify (+ 0 0) into 0
278.598 * [backup-simplify]: Simplify (+ 0 0) into 0
278.599 * [backup-simplify]: Simplify (- (/ 0 (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))) (+ (* (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (/ 0 (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4))))))) into 0
278.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
278.599 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))))) in K
278.599 * [taylor]: Taking taylor expansion of -2 in K
278.599 * [backup-simplify]: Simplify -2 into -2
278.599 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))) in K
278.599 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
278.599 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
278.599 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
278.599 * [taylor]: Taking taylor expansion of 1/2 in K
278.599 * [backup-simplify]: Simplify 1/2 into 1/2
278.600 * [taylor]: Taking taylor expansion of K in K
278.600 * [backup-simplify]: Simplify 0 into 0
278.600 * [backup-simplify]: Simplify 1 into 1
278.600 * [backup-simplify]: Simplify (* 1/2 0) into 0
278.601 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
278.601 * [taylor]: Taking taylor expansion of J in K
278.601 * [backup-simplify]: Simplify J into J
278.601 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) in K
278.601 * [taylor]: Taking taylor expansion of (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) in K
278.601 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) in K
278.601 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) in K
278.601 * [taylor]: Taking taylor expansion of 1/64 in K
278.601 * [backup-simplify]: Simplify 1/64 into 1/64
278.601 * [taylor]: Taking taylor expansion of (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6))) in K
278.601 * [taylor]: Taking taylor expansion of (pow U 6) in K
278.601 * [taylor]: Taking taylor expansion of U in K
278.601 * [backup-simplify]: Simplify U into U
278.601 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 6) (pow J 6)) in K
278.601 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 6) in K
278.601 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
278.601 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
278.601 * [taylor]: Taking taylor expansion of 1/2 in K
278.601 * [backup-simplify]: Simplify 1/2 into 1/2
278.601 * [taylor]: Taking taylor expansion of K in K
278.601 * [backup-simplify]: Simplify 0 into 0
278.601 * [backup-simplify]: Simplify 1 into 1
278.602 * [backup-simplify]: Simplify (* 1/2 0) into 0
278.603 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
278.603 * [taylor]: Taking taylor expansion of (pow J 6) in K
278.603 * [taylor]: Taking taylor expansion of J in K
278.603 * [backup-simplify]: Simplify J into J
278.603 * [backup-simplify]: Simplify (* U U) into (pow U 2)
278.603 * [backup-simplify]: Simplify (* U (pow U 2)) into (pow U 3)
278.603 * [backup-simplify]: Simplify (* (pow U 3) (pow U 3)) into (pow U 6)
278.603 * [backup-simplify]: Simplify (* 1 1) into 1
278.604 * [backup-simplify]: Simplify (* 1 1) into 1
278.604 * [backup-simplify]: Simplify (* 1 1) into 1
278.604 * [backup-simplify]: Simplify (* J J) into (pow J 2)
278.604 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
278.604 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
278.604 * [backup-simplify]: Simplify (* 1 (pow J 6)) into (pow J 6)
278.605 * [backup-simplify]: Simplify (/ (pow U 6) (pow J 6)) into (/ (pow U 6) (pow J 6))
278.605 * [taylor]: Taking taylor expansion of 1 in K
278.605 * [backup-simplify]: Simplify 1 into 1
278.605 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in K
278.605 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in K
278.605 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in K
278.605 * [taylor]: Taking taylor expansion of 1/16 in K
278.605 * [backup-simplify]: Simplify 1/16 into 1/16
278.605 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in K
278.605 * [taylor]: Taking taylor expansion of (pow U 4) in K
278.605 * [taylor]: Taking taylor expansion of U in K
278.605 * [backup-simplify]: Simplify U into U
278.605 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in K
278.605 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in K
278.605 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
278.605 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
278.605 * [taylor]: Taking taylor expansion of 1/2 in K
278.605 * [backup-simplify]: Simplify 1/2 into 1/2
278.605 * [taylor]: Taking taylor expansion of K in K
278.605 * [backup-simplify]: Simplify 0 into 0
278.605 * [backup-simplify]: Simplify 1 into 1
278.606 * [backup-simplify]: Simplify (* 1/2 0) into 0
278.607 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
278.607 * [taylor]: Taking taylor expansion of (pow J 4) in K
278.607 * [taylor]: Taking taylor expansion of J in K
278.607 * [backup-simplify]: Simplify J into J
278.607 * [backup-simplify]: Simplify (* U U) into (pow U 2)
278.607 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
278.607 * [backup-simplify]: Simplify (* 1 1) into 1
278.608 * [backup-simplify]: Simplify (* 1 1) into 1
278.608 * [backup-simplify]: Simplify (* J J) into (pow J 2)
278.608 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
278.608 * [backup-simplify]: Simplify (* 1 (pow J 4)) into (pow J 4)
278.608 * [backup-simplify]: Simplify (/ (pow U 4) (pow J 4)) into (/ (pow U 4) (pow J 4))
278.608 * [taylor]: Taking taylor expansion of 1 in K
278.608 * [backup-simplify]: Simplify 1 into 1
278.608 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
278.608 * [taylor]: Taking taylor expansion of 1/4 in K
278.608 * [backup-simplify]: Simplify 1/4 into 1/4
278.608 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
278.608 * [taylor]: Taking taylor expansion of (pow U 2) in K
278.608 * [taylor]: Taking taylor expansion of U in K
278.608 * [backup-simplify]: Simplify U into U
278.608 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
278.608 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
278.608 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
278.608 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
278.608 * [taylor]: Taking taylor expansion of 1/2 in K
278.609 * [backup-simplify]: Simplify 1/2 into 1/2
278.609 * [taylor]: Taking taylor expansion of K in K
278.609 * [backup-simplify]: Simplify 0 into 0
278.609 * [backup-simplify]: Simplify 1 into 1
278.609 * [backup-simplify]: Simplify (* 1/2 0) into 0
278.610 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
278.610 * [taylor]: Taking taylor expansion of (pow J 2) in K
278.610 * [taylor]: Taking taylor expansion of J in K
278.610 * [backup-simplify]: Simplify J into J
278.610 * [backup-simplify]: Simplify (* U U) into (pow U 2)
278.610 * [backup-simplify]: Simplify (* 1 1) into 1
278.610 * [backup-simplify]: Simplify (* J J) into (pow J 2)
278.611 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
278.611 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
278.611 * [backup-simplify]: Simplify (* 1/64 (/ (pow U 6) (pow J 6))) into (* 1/64 (/ (pow U 6) (pow J 6)))
278.611 * [backup-simplify]: Simplify (+ (* 1/64 (/ (pow U 6) (pow J 6))) 1) into (+ (* 1/64 (/ (pow U 6) (pow J 6))) 1)
278.611 * [backup-simplify]: Simplify (* 1/16 (/ (pow U 4) (pow J 4))) into (* 1/16 (/ (pow U 4) (pow J 4)))
278.612 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) into (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1)
278.612 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
278.612 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow U 2) (pow J 2)))) into (- (* 1/4 (/ (pow U 2) (pow J 2))))
278.613 * [backup-simplify]: Simplify (+ (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (- (* 1/4 (/ (pow U 2) (pow J 2))))) into (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2))))
278.613 * [backup-simplify]: Simplify (/ (+ (* 1/64 (/ (pow U 6) (pow J 6))) 1) (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2))))) into (/ (+ (* 1/64 (/ (pow U 6) (pow J 6))) 1) (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2)))))
278.614 * [backup-simplify]: Simplify (sqrt (/ (+ (* 1/64 (/ (pow U 6) (pow J 6))) 1) (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2)))))) into (sqrt (/ (+ (* 1/64 (/ (pow U 6) (pow J 6))) 1) (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2))))))
278.614 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
278.614 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (pow U 2))) into 0
278.615 * [backup-simplify]: Simplify (+ (* (pow U 3) 0) (* 0 (pow U 3))) into 0
278.615 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
278.615 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (pow J 2))) into 0
278.615 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (* 0 (pow J 3))) into 0
278.615 * [backup-simplify]: Simplify (+ 0) into 0
278.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
278.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
278.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
278.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 6))) into 0
278.618 * [backup-simplify]: Simplify (- (/ 0 (pow J 6)) (+ (* (/ (pow U 6) (pow J 6)) (/ 0 (pow J 6))))) into 0
278.619 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow U 6) (pow J 6)))) into 0
278.619 * [backup-simplify]: Simplify (+ 0 0) into 0
278.619 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
278.620 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow U 2))) into 0
278.620 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
278.620 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
278.620 * [backup-simplify]: Simplify (+ 0) into 0
278.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
278.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
278.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 4))) into 0
278.622 * [backup-simplify]: Simplify (- (/ 0 (pow J 4)) (+ (* (/ (pow U 4) (pow J 4)) (/ 0 (pow J 4))))) into 0
278.623 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow U 4) (pow J 4)))) into 0
278.623 * [backup-simplify]: Simplify (+ 0 0) into 0
278.623 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
278.623 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
278.624 * [backup-simplify]: Simplify (+ 0) into 0
278.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
278.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
278.625 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
278.626 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
278.626 * [backup-simplify]: Simplify (- 0) into 0
278.627 * [backup-simplify]: Simplify (+ 0 0) into 0
278.628 * [backup-simplify]: Simplify (- (/ 0 (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2))))) (+ (* (/ (+ (* 1/64 (/ (pow U 6) (pow J 6))) 1) (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2))))) (/ 0 (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2)))))))) into 0
278.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ (+ (* 1/64 (/ (pow U 6) (pow J 6))) 1) (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2)))))))) into 0
278.629 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))))) in U
278.629 * [taylor]: Taking taylor expansion of -2 in U
278.629 * [backup-simplify]: Simplify -2 into -2
278.629 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))) in U
278.629 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
278.629 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
278.629 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
278.629 * [taylor]: Taking taylor expansion of 1/2 in U
278.629 * [backup-simplify]: Simplify 1/2 into 1/2
278.629 * [taylor]: Taking taylor expansion of K in U
278.630 * [backup-simplify]: Simplify K into K
278.630 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
278.630 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
278.630 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
278.630 * [taylor]: Taking taylor expansion of J in U
278.630 * [backup-simplify]: Simplify J into J
278.630 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) in U
278.630 * [taylor]: Taking taylor expansion of (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) in U
278.630 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) in U
278.630 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) in U
278.630 * [taylor]: Taking taylor expansion of 1/64 in U
278.630 * [backup-simplify]: Simplify 1/64 into 1/64
278.630 * [taylor]: Taking taylor expansion of (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6))) in U
278.630 * [taylor]: Taking taylor expansion of (pow U 6) in U
278.630 * [taylor]: Taking taylor expansion of U in U
278.630 * [backup-simplify]: Simplify 0 into 0
278.630 * [backup-simplify]: Simplify 1 into 1
278.630 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 6) (pow J 6)) in U
278.630 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 6) in U
278.630 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
278.630 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
278.630 * [taylor]: Taking taylor expansion of 1/2 in U
278.630 * [backup-simplify]: Simplify 1/2 into 1/2
278.630 * [taylor]: Taking taylor expansion of K in U
278.630 * [backup-simplify]: Simplify K into K
278.630 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
278.630 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
278.630 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
278.631 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
278.631 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
278.631 * [backup-simplify]: Simplify (- 0) into 0
278.631 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
278.631 * [taylor]: Taking taylor expansion of (pow J 6) in U
278.631 * [taylor]: Taking taylor expansion of J in U
278.631 * [backup-simplify]: Simplify J into J
278.632 * [backup-simplify]: Simplify (* 1 1) into 1
278.632 * [backup-simplify]: Simplify (* 1 1) into 1
278.633 * [backup-simplify]: Simplify (* 1 1) into 1
278.633 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
278.633 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 3)
278.633 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 3) (pow (cos (* 1/2 K)) 3)) into (pow (cos (* 1/2 K)) 6)
278.633 * [backup-simplify]: Simplify (* J J) into (pow J 2)
278.633 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
278.633 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
278.633 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 6) (pow J 6)) into (* (pow (cos (* 1/2 K)) 6) (pow J 6))
278.634 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 6) (pow J 6))) into (/ 1 (* (pow (cos (* 1/2 K)) 6) (pow J 6)))
278.634 * [taylor]: Taking taylor expansion of 1 in U
278.634 * [backup-simplify]: Simplify 1 into 1
278.634 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in U
278.634 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in U
278.634 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in U
278.634 * [taylor]: Taking taylor expansion of 1/16 in U
278.634 * [backup-simplify]: Simplify 1/16 into 1/16
278.634 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in U
278.634 * [taylor]: Taking taylor expansion of (pow U 4) in U
278.634 * [taylor]: Taking taylor expansion of U in U
278.634 * [backup-simplify]: Simplify 0 into 0
278.634 * [backup-simplify]: Simplify 1 into 1
278.634 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in U
278.634 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in U
278.634 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
278.634 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
278.634 * [taylor]: Taking taylor expansion of 1/2 in U
278.634 * [backup-simplify]: Simplify 1/2 into 1/2
278.634 * [taylor]: Taking taylor expansion of K in U
278.634 * [backup-simplify]: Simplify K into K
278.634 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
278.634 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
278.634 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
278.634 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
278.635 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
278.635 * [backup-simplify]: Simplify (- 0) into 0
278.635 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
278.635 * [taylor]: Taking taylor expansion of (pow J 4) in U
278.635 * [taylor]: Taking taylor expansion of J in U
278.635 * [backup-simplify]: Simplify J into J
278.635 * [backup-simplify]: Simplify (* 1 1) into 1
278.636 * [backup-simplify]: Simplify (* 1 1) into 1
278.636 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
278.636 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 4)
278.636 * [backup-simplify]: Simplify (* J J) into (pow J 2)
278.636 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
278.637 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 4) (pow J 4)) into (* (pow (cos (* 1/2 K)) 4) (pow J 4))
278.637 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) into (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))
278.637 * [taylor]: Taking taylor expansion of 1 in U
278.637 * [backup-simplify]: Simplify 1 into 1
278.637 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
278.637 * [taylor]: Taking taylor expansion of 1/4 in U
278.637 * [backup-simplify]: Simplify 1/4 into 1/4
278.637 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
278.637 * [taylor]: Taking taylor expansion of (pow U 2) in U
278.637 * [taylor]: Taking taylor expansion of U in U
278.637 * [backup-simplify]: Simplify 0 into 0
278.637 * [backup-simplify]: Simplify 1 into 1
278.637 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
278.637 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
278.637 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
278.637 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
278.637 * [taylor]: Taking taylor expansion of 1/2 in U
278.637 * [backup-simplify]: Simplify 1/2 into 1/2
278.637 * [taylor]: Taking taylor expansion of K in U
278.637 * [backup-simplify]: Simplify K into K
278.637 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
278.637 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
278.637 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
278.637 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
278.638 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
278.638 * [backup-simplify]: Simplify (- 0) into 0
278.638 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
278.638 * [taylor]: Taking taylor expansion of (pow J 2) in U
278.638 * [taylor]: Taking taylor expansion of J in U
278.638 * [backup-simplify]: Simplify J into J
278.638 * [backup-simplify]: Simplify (* 1 1) into 1
278.639 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
278.639 * [backup-simplify]: Simplify (* J J) into (pow J 2)
278.639 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
278.639 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
278.640 * [backup-simplify]: Simplify (+ 0 1) into 1
278.640 * [backup-simplify]: Simplify (+ 0 1) into 1
278.640 * [backup-simplify]: Simplify (+ 1 0) into 1
278.641 * [backup-simplify]: Simplify (/ 1 1) into 1
278.641 * [backup-simplify]: Simplify (sqrt 1) into 1
278.642 * [backup-simplify]: Simplify (+ 0 0) into 0
278.642 * [backup-simplify]: Simplify (+ 0 0) into 0
278.642 * [backup-simplify]: Simplify (+ 0 0) into 0
278.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
278.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
278.644 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))))) in U
278.644 * [taylor]: Taking taylor expansion of -2 in U
278.644 * [backup-simplify]: Simplify -2 into -2
278.644 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))) in U
278.644 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
278.644 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
278.644 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
278.644 * [taylor]: Taking taylor expansion of 1/2 in U
278.644 * [backup-simplify]: Simplify 1/2 into 1/2
278.644 * [taylor]: Taking taylor expansion of K in U
278.644 * [backup-simplify]: Simplify K into K
278.644 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
278.644 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
278.644 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
278.644 * [taylor]: Taking taylor expansion of J in U
278.644 * [backup-simplify]: Simplify J into J
278.644 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) in U
278.644 * [taylor]: Taking taylor expansion of (/ (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) in U
278.644 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) 1) in U
278.645 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6)))) in U
278.645 * [taylor]: Taking taylor expansion of 1/64 in U
278.645 * [backup-simplify]: Simplify 1/64 into 1/64
278.645 * [taylor]: Taking taylor expansion of (/ (pow U 6) (* (pow (cos (* 1/2 K)) 6) (pow J 6))) in U
278.645 * [taylor]: Taking taylor expansion of (pow U 6) in U
278.645 * [taylor]: Taking taylor expansion of U in U
278.645 * [backup-simplify]: Simplify 0 into 0
278.645 * [backup-simplify]: Simplify 1 into 1
278.645 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 6) (pow J 6)) in U
278.645 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 6) in U
278.645 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
278.645 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
278.645 * [taylor]: Taking taylor expansion of 1/2 in U
278.645 * [backup-simplify]: Simplify 1/2 into 1/2
278.645 * [taylor]: Taking taylor expansion of K in U
278.645 * [backup-simplify]: Simplify K into K
278.645 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
278.645 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
278.645 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
278.645 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
278.645 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
278.646 * [backup-simplify]: Simplify (- 0) into 0
278.646 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
278.646 * [taylor]: Taking taylor expansion of (pow J 6) in U
278.646 * [taylor]: Taking taylor expansion of J in U
278.646 * [backup-simplify]: Simplify J into J
278.646 * [backup-simplify]: Simplify (* 1 1) into 1
278.647 * [backup-simplify]: Simplify (* 1 1) into 1
278.647 * [backup-simplify]: Simplify (* 1 1) into 1
278.647 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
278.647 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 3)
278.647 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 3) (pow (cos (* 1/2 K)) 3)) into (pow (cos (* 1/2 K)) 6)
278.648 * [backup-simplify]: Simplify (* J J) into (pow J 2)
278.648 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
278.648 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
278.648 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 6) (pow J 6)) into (* (pow (cos (* 1/2 K)) 6) (pow J 6))
278.648 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 6) (pow J 6))) into (/ 1 (* (pow (cos (* 1/2 K)) 6) (pow J 6)))
278.648 * [taylor]: Taking taylor expansion of 1 in U
278.648 * [backup-simplify]: Simplify 1 into 1
278.648 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in U
278.648 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in U
278.648 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in U
278.648 * [taylor]: Taking taylor expansion of 1/16 in U
278.648 * [backup-simplify]: Simplify 1/16 into 1/16
278.648 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in U
278.648 * [taylor]: Taking taylor expansion of (pow U 4) in U
278.648 * [taylor]: Taking taylor expansion of U in U
278.648 * [backup-simplify]: Simplify 0 into 0
278.648 * [backup-simplify]: Simplify 1 into 1
278.648 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in U
278.648 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in U
278.648 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
278.649 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
278.649 * [taylor]: Taking taylor expansion of 1/2 in U
278.649 * [backup-simplify]: Simplify 1/2 into 1/2
278.649 * [taylor]: Taking taylor expansion of K in U
278.649 * [backup-simplify]: Simplify K into K
278.649 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
278.649 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
278.649 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
278.649 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
278.649 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
278.649 * [backup-simplify]: Simplify (- 0) into 0
278.649 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
278.649 * [taylor]: Taking taylor expansion of (pow J 4) in U
278.650 * [taylor]: Taking taylor expansion of J in U
278.650 * [backup-simplify]: Simplify J into J
278.650 * [backup-simplify]: Simplify (* 1 1) into 1
278.650 * [backup-simplify]: Simplify (* 1 1) into 1
278.650 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
278.651 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 4)
278.651 * [backup-simplify]: Simplify (* J J) into (pow J 2)
278.651 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
278.651 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 4) (pow J 4)) into (* (pow (cos (* 1/2 K)) 4) (pow J 4))
278.651 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) into (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))
278.651 * [taylor]: Taking taylor expansion of 1 in U
278.651 * [backup-simplify]: Simplify 1 into 1
278.651 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
278.651 * [taylor]: Taking taylor expansion of 1/4 in U
278.651 * [backup-simplify]: Simplify 1/4 into 1/4
278.651 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
278.651 * [taylor]: Taking taylor expansion of (pow U 2) in U
278.651 * [taylor]: Taking taylor expansion of U in U
278.651 * [backup-simplify]: Simplify 0 into 0
278.652 * [backup-simplify]: Simplify 1 into 1
278.652 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
278.652 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
278.652 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
278.652 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
278.652 * [taylor]: Taking taylor expansion of 1/2 in U
278.652 * [backup-simplify]: Simplify 1/2 into 1/2
278.652 * [taylor]: Taking taylor expansion of K in U
278.652 * [backup-simplify]: Simplify K into K
278.652 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
278.652 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
278.652 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
278.652 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
278.652 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
278.652 * [backup-simplify]: Simplify (- 0) into 0
278.653 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
278.653 * [taylor]: Taking taylor expansion of (pow J 2) in U
278.653 * [taylor]: Taking taylor expansion of J in U
278.653 * [backup-simplify]: Simplify J into J
278.653 * [backup-simplify]: Simplify (* 1 1) into 1
278.653 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
278.654 * [backup-simplify]: Simplify (* J J) into (pow J 2)
278.654 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
278.654 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
278.654 * [backup-simplify]: Simplify (+ 0 1) into 1
278.655 * [backup-simplify]: Simplify (+ 0 1) into 1
278.655 * [backup-simplify]: Simplify (+ 1 0) into 1
278.656 * [backup-simplify]: Simplify (/ 1 1) into 1
278.656 * [backup-simplify]: Simplify (sqrt 1) into 1
278.657 * [backup-simplify]: Simplify (+ 0 0) into 0
278.657 * [backup-simplify]: Simplify (+ 0 0) into 0
278.657 * [backup-simplify]: Simplify (+ 0 0) into 0
278.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
278.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
278.659 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
278.659 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
278.660 * [backup-simplify]: Simplify (- 0) into 0
278.660 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
278.660 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J)
278.660 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J)
278.660 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J))
278.660 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K
278.660 * [taylor]: Taking taylor expansion of -2 in K
278.660 * [backup-simplify]: Simplify -2 into -2
278.660 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
278.660 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
278.660 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
278.660 * [taylor]: Taking taylor expansion of 1/2 in K
278.660 * [backup-simplify]: Simplify 1/2 into 1/2
278.660 * [taylor]: Taking taylor expansion of K in K
278.660 * [backup-simplify]: Simplify 0 into 0
278.660 * [backup-simplify]: Simplify 1 into 1
278.661 * [backup-simplify]: Simplify (* 1/2 0) into 0
278.662 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
278.662 * [taylor]: Taking taylor expansion of J in K
278.662 * [backup-simplify]: Simplify J into J
278.662 * [backup-simplify]: Simplify (* 1 J) into J
278.662 * [backup-simplify]: Simplify (* -2 J) into (* -2 J)
278.662 * [taylor]: Taking taylor expansion of (* -2 J) in J
278.662 * [taylor]: Taking taylor expansion of -2 in J
278.662 * [backup-simplify]: Simplify -2 into -2
278.662 * [taylor]: Taking taylor expansion of J in J
278.662 * [backup-simplify]: Simplify 0 into 0
278.662 * [backup-simplify]: Simplify 1 into 1
278.662 * [backup-simplify]: Simplify (+ 0) into 0
278.663 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
278.663 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
278.664 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
278.664 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
278.664 * [backup-simplify]: Simplify (- 0) into 0
278.664 * [backup-simplify]: Simplify (+ 0 0) into 0
278.664 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0
278.665 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0
278.665 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0
278.665 * [taylor]: Taking taylor expansion of 0 in K
278.665 * [backup-simplify]: Simplify 0 into 0
278.665 * [taylor]: Taking taylor expansion of 0 in J
278.665 * [backup-simplify]: Simplify 0 into 0
278.665 * [backup-simplify]: Simplify (+ 0) into 0
278.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0
278.666 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0
278.666 * [taylor]: Taking taylor expansion of 0 in J
278.666 * [backup-simplify]: Simplify 0 into 0
278.666 * [backup-simplify]: Simplify (* -2 0) into 0
278.666 * [backup-simplify]: Simplify 0 into 0
278.667 * [backup-simplify]: Simplify (+ 0 0) into 0
278.676 * [backup-simplify]: Simplify (+ 0 0) into 0
278.676 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
278.676 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))
278.676 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))
278.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (* 0 (/ 0 1)))) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
278.679 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
278.679 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
278.680 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
278.680 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
278.681 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
278.681 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
278.681 * [backup-simplify]: Simplify (- 0) into 0
278.682 * [backup-simplify]: Simplify (+ 0 0) into 0
278.682 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0
278.683 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))
278.683 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))))
278.683 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K
278.683 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K
278.683 * [taylor]: Taking taylor expansion of 1/4 in K
278.683 * [backup-simplify]: Simplify 1/4 into 1/4
278.683 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K
278.683 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
278.683 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
278.683 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
278.683 * [taylor]: Taking taylor expansion of 1/2 in K
278.683 * [backup-simplify]: Simplify 1/2 into 1/2
278.683 * [taylor]: Taking taylor expansion of K in K
278.683 * [backup-simplify]: Simplify 0 into 0
278.683 * [backup-simplify]: Simplify 1 into 1
278.684 * [backup-simplify]: Simplify (* 1/2 0) into 0
278.684 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
278.684 * [taylor]: Taking taylor expansion of J in K
278.684 * [backup-simplify]: Simplify J into J
278.684 * [backup-simplify]: Simplify (* 1 J) into J
278.684 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J)
278.684 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J)
278.684 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J)))
278.684 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J
278.684 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J
278.684 * [taylor]: Taking taylor expansion of 1/4 in J
278.684 * [backup-simplify]: Simplify 1/4 into 1/4
278.684 * [taylor]: Taking taylor expansion of (/ 1 J) in J
278.684 * [taylor]: Taking taylor expansion of J in J
278.684 * [backup-simplify]: Simplify 0 into 0
278.684 * [backup-simplify]: Simplify 1 into 1
278.685 * [backup-simplify]: Simplify (/ 1 1) into 1
278.685 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
278.685 * [backup-simplify]: Simplify (- 1/4) into -1/4
278.685 * [backup-simplify]: Simplify -1/4 into -1/4
278.685 * [taylor]: Taking taylor expansion of 0 in J
278.685 * [backup-simplify]: Simplify 0 into 0
278.686 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
278.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J))
278.687 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J)
278.687 * [taylor]: Taking taylor expansion of (* 1/4 J) in J
278.687 * [taylor]: Taking taylor expansion of 1/4 in J
278.687 * [backup-simplify]: Simplify 1/4 into 1/4
278.687 * [taylor]: Taking taylor expansion of J in J
278.687 * [backup-simplify]: Simplify 0 into 0
278.687 * [backup-simplify]: Simplify 1 into 1
278.687 * [backup-simplify]: Simplify 0 into 0
278.687 * [backup-simplify]: Simplify 0 into 0
278.687 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2
278.687 * [backup-simplify]: Simplify -2 into -2
278.688 * [backup-simplify]: Simplify (+ 0 0) into 0
278.688 * [backup-simplify]: Simplify (+ 0 0) into 0
278.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
278.688 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
278.689 * [backup-simplify]: Simplify (+ 0) into 0
278.689 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
278.689 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
278.690 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
278.690 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
278.690 * [backup-simplify]: Simplify (- 0) into 0
278.690 * [backup-simplify]: Simplify (+ 0 0) into 0
278.691 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
278.691 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
278.691 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
278.691 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
278.692 * [backup-simplify]: Simplify (- 0) into 0
278.692 * [backup-simplify]: Simplify (+ 0 0) into 0
278.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (* (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (/ 0 1)))) into 0
278.693 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
278.694 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
278.695 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
278.695 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
278.696 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
278.697 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
278.697 * [backup-simplify]: Simplify (- 0) into 0
278.697 * [backup-simplify]: Simplify (+ 0 0) into 0
278.698 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
278.698 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0
278.699 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0
278.699 * [taylor]: Taking taylor expansion of 0 in K
278.700 * [backup-simplify]: Simplify 0 into 0
278.700 * [taylor]: Taking taylor expansion of 0 in J
278.700 * [backup-simplify]: Simplify 0 into 0
278.700 * [backup-simplify]: Simplify (+ 0) into 0
278.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0
278.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0
278.701 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0
278.701 * [backup-simplify]: Simplify (- 0) into 0
278.701 * [taylor]: Taking taylor expansion of 0 in J
278.702 * [backup-simplify]: Simplify 0 into 0
278.702 * [taylor]: Taking taylor expansion of 0 in J
278.702 * [backup-simplify]: Simplify 0 into 0
278.703 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
278.704 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
278.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0
278.706 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0
278.706 * [taylor]: Taking taylor expansion of 0 in J
278.706 * [backup-simplify]: Simplify 0 into 0
278.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
278.708 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
278.708 * [backup-simplify]: Simplify (- 0) into 0
278.709 * [backup-simplify]: Simplify 0 into 0
278.709 * [backup-simplify]: Simplify 0 into 0
278.709 * [backup-simplify]: Simplify (* 1/4 0) into 0
278.709 * [backup-simplify]: Simplify 0 into 0
278.709 * [backup-simplify]: Simplify 0 into 0
278.709 * [backup-simplify]: Simplify 0 into 0
278.710 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0
278.711 * [backup-simplify]: Simplify 0 into 0
278.711 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J))))
278.718 * [backup-simplify]: Simplify (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ 1 U) (* (* (cos (/ (/ 1 K) 2)) (/ 1 J)) 2)) (/ (/ 1 U) (* (* (cos (/ (/ 1 K) 2)) (/ 1 J)) 2))) (* (/ (/ 1 U) (* (* (cos (/ (/ 1 K) 2)) (/ 1 J)) 2)) (/ (/ 1 U) (* (* (cos (/ (/ 1 K) 2)) (/ 1 J)) 2)))) (* (/ (/ 1 U) (* (* (cos (/ (/ 1 K) 2)) (/ 1 J)) 2)) (/ (/ 1 U) (* (* (cos (/ (/ 1 K) 2)) (/ 1 J)) 2)))))) (* (cos (/ (/ 1 K) 2)) (/ 1 J))) -2) (* (sqrt (sqrt (+ (* (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))))) (- (* 1 1) (* (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1))))) (sqrt (sqrt (+ (* (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))))) (- (* 1 1) (* (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1))))))) into (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))))))
278.718 * [approximate]: Taking taylor expansion of (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))))) in (U K J) around 0
278.718 * [taylor]: Taking taylor expansion of (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))))) in J
278.718 * [taylor]: Taking taylor expansion of -2 in J
278.718 * [backup-simplify]: Simplify -2 into -2
278.718 * [taylor]: Taking taylor expansion of (* (/ (cos (/ 1/2 K)) J) (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))))) in J
278.718 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
278.718 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
278.718 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
278.718 * [taylor]: Taking taylor expansion of 1/2 in J
278.718 * [backup-simplify]: Simplify 1/2 into 1/2
278.718 * [taylor]: Taking taylor expansion of K in J
278.718 * [backup-simplify]: Simplify K into K
278.718 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
278.719 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
278.719 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
278.719 * [taylor]: Taking taylor expansion of J in J
278.719 * [backup-simplify]: Simplify 0 into 0
278.719 * [backup-simplify]: Simplify 1 into 1
278.719 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
278.719 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
278.719 * [backup-simplify]: Simplify (- 0) into 0
278.719 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
278.720 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
278.720 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) in J
278.720 * [taylor]: Taking taylor expansion of (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) in J
278.720 * [taylor]: Taking taylor expansion of (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) in J
278.720 * [taylor]: Taking taylor expansion of 1 in J
278.720 * [backup-simplify]: Simplify 1 into 1
278.720 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))) in J
278.720 * [taylor]: Taking taylor expansion of 1/64 in J
278.720 * [backup-simplify]: Simplify 1/64 into 1/64
278.720 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) in J
278.720 * [taylor]: Taking taylor expansion of (pow J 6) in J
278.720 * [taylor]: Taking taylor expansion of J in J
278.720 * [backup-simplify]: Simplify 0 into 0
278.720 * [backup-simplify]: Simplify 1 into 1
278.720 * [taylor]: Taking taylor expansion of (* (pow U 6) (pow (cos (/ 1/2 K)) 6)) in J
278.720 * [taylor]: Taking taylor expansion of (pow U 6) in J
278.720 * [taylor]: Taking taylor expansion of U in J
278.720 * [backup-simplify]: Simplify U into U
278.720 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 6) in J
278.720 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
278.720 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
278.720 * [taylor]: Taking taylor expansion of 1/2 in J
278.720 * [backup-simplify]: Simplify 1/2 into 1/2
278.720 * [taylor]: Taking taylor expansion of K in J
278.720 * [backup-simplify]: Simplify K into K
278.720 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
278.720 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
278.720 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
278.720 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
278.721 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
278.721 * [backup-simplify]: Simplify (- 0) into 0
278.721 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
278.721 * [backup-simplify]: Simplify (* 1 1) into 1
278.722 * [backup-simplify]: Simplify (* 1 1) into 1
278.722 * [backup-simplify]: Simplify (* 1 1) into 1
278.722 * [backup-simplify]: Simplify (* U U) into (pow U 2)
278.722 * [backup-simplify]: Simplify (* U (pow U 2)) into (pow U 3)
278.723 * [backup-simplify]: Simplify (* (pow U 3) (pow U 3)) into (pow U 6)
278.723 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
278.723 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 3)
278.723 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 3) (pow (cos (/ 1/2 K)) 3)) into (pow (cos (/ 1/2 K)) 6)
278.723 * [backup-simplify]: Simplify (* (pow U 6) (pow (cos (/ 1/2 K)) 6)) into (* (pow U 6) (pow (cos (/ 1/2 K)) 6))
278.723 * [backup-simplify]: Simplify (/ 1 (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) into (/ 1 (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))
278.723 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in J
278.723 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in J
278.724 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in J
278.724 * [taylor]: Taking taylor expansion of 1/16 in J
278.724 * [backup-simplify]: Simplify 1/16 into 1/16
278.724 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in J
278.724 * [taylor]: Taking taylor expansion of (pow J 4) in J
278.724 * [taylor]: Taking taylor expansion of J in J
278.724 * [backup-simplify]: Simplify 0 into 0
278.724 * [backup-simplify]: Simplify 1 into 1
278.724 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in J
278.724 * [taylor]: Taking taylor expansion of (pow U 4) in J
278.724 * [taylor]: Taking taylor expansion of U in J
278.724 * [backup-simplify]: Simplify U into U
278.724 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in J
278.724 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
278.724 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
278.724 * [taylor]: Taking taylor expansion of 1/2 in J
278.724 * [backup-simplify]: Simplify 1/2 into 1/2
278.724 * [taylor]: Taking taylor expansion of K in J
278.724 * [backup-simplify]: Simplify K into K
278.724 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
278.724 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
278.724 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
278.724 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
278.724 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
278.725 * [backup-simplify]: Simplify (- 0) into 0
278.725 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
278.725 * [backup-simplify]: Simplify (* 1 1) into 1
278.726 * [backup-simplify]: Simplify (* 1 1) into 1
278.726 * [backup-simplify]: Simplify (* U U) into (pow U 2)
278.726 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
278.726 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
278.726 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
278.726 * [backup-simplify]: Simplify (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) into (* (pow U 4) (pow (cos (/ 1/2 K)) 4))
278.726 * [backup-simplify]: Simplify (/ 1 (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) into (/ 1 (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))
278.726 * [taylor]: Taking taylor expansion of 1 in J
278.726 * [backup-simplify]: Simplify 1 into 1
278.726 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
278.727 * [taylor]: Taking taylor expansion of 1/4 in J
278.727 * [backup-simplify]: Simplify 1/4 into 1/4
278.727 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
278.727 * [taylor]: Taking taylor expansion of (pow J 2) in J
278.727 * [taylor]: Taking taylor expansion of J in J
278.727 * [backup-simplify]: Simplify 0 into 0
278.727 * [backup-simplify]: Simplify 1 into 1
278.727 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
278.727 * [taylor]: Taking taylor expansion of (pow U 2) in J
278.727 * [taylor]: Taking taylor expansion of U in J
278.727 * [backup-simplify]: Simplify U into U
278.727 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
278.727 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
278.727 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
278.727 * [taylor]: Taking taylor expansion of 1/2 in J
278.727 * [backup-simplify]: Simplify 1/2 into 1/2
278.727 * [taylor]: Taking taylor expansion of K in J
278.727 * [backup-simplify]: Simplify K into K
278.727 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
278.727 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
278.727 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
278.727 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
278.727 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
278.728 * [backup-simplify]: Simplify (- 0) into 0
278.728 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
278.728 * [backup-simplify]: Simplify (* 1 1) into 1
278.728 * [backup-simplify]: Simplify (* U U) into (pow U 2)
278.728 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
278.729 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
278.729 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
278.729 * [backup-simplify]: Simplify (+ 1 0) into 1
278.730 * [backup-simplify]: Simplify (+ 0 1) into 1
278.730 * [backup-simplify]: Simplify (+ 1 0) into 1
278.730 * [backup-simplify]: Simplify (/ 1 1) into 1
278.731 * [backup-simplify]: Simplify (sqrt 1) into 1
278.731 * [backup-simplify]: Simplify (+ 0 0) into 0
278.732 * [backup-simplify]: Simplify (+ 0 0) into 0
278.732 * [backup-simplify]: Simplify (+ 0 0) into 0
278.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
278.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
278.733 * [taylor]: Taking taylor expansion of (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))))) in K
278.733 * [taylor]: Taking taylor expansion of -2 in K
278.733 * [backup-simplify]: Simplify -2 into -2
278.734 * [taylor]: Taking taylor expansion of (* (/ (cos (/ 1/2 K)) J) (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))))) in K
278.734 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
278.734 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
278.734 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
278.734 * [taylor]: Taking taylor expansion of 1/2 in K
278.734 * [backup-simplify]: Simplify 1/2 into 1/2
278.734 * [taylor]: Taking taylor expansion of K in K
278.734 * [backup-simplify]: Simplify 0 into 0
278.734 * [backup-simplify]: Simplify 1 into 1
278.734 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
278.734 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
278.734 * [taylor]: Taking taylor expansion of J in K
278.734 * [backup-simplify]: Simplify J into J
278.734 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
278.734 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) in K
278.735 * [taylor]: Taking taylor expansion of (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) in K
278.735 * [taylor]: Taking taylor expansion of (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) in K
278.735 * [taylor]: Taking taylor expansion of 1 in K
278.735 * [backup-simplify]: Simplify 1 into 1
278.735 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))) in K
278.735 * [taylor]: Taking taylor expansion of 1/64 in K
278.735 * [backup-simplify]: Simplify 1/64 into 1/64
278.735 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) in K
278.735 * [taylor]: Taking taylor expansion of (pow J 6) in K
278.735 * [taylor]: Taking taylor expansion of J in K
278.735 * [backup-simplify]: Simplify J into J
278.735 * [taylor]: Taking taylor expansion of (* (pow U 6) (pow (cos (/ 1/2 K)) 6)) in K
278.735 * [taylor]: Taking taylor expansion of (pow U 6) in K
278.735 * [taylor]: Taking taylor expansion of U in K
278.735 * [backup-simplify]: Simplify U into U
278.735 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 6) in K
278.735 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
278.735 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
278.735 * [taylor]: Taking taylor expansion of 1/2 in K
278.735 * [backup-simplify]: Simplify 1/2 into 1/2
278.735 * [taylor]: Taking taylor expansion of K in K
278.735 * [backup-simplify]: Simplify 0 into 0
278.735 * [backup-simplify]: Simplify 1 into 1
278.736 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
278.736 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
278.736 * [backup-simplify]: Simplify (* J J) into (pow J 2)
278.736 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
278.736 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
278.736 * [backup-simplify]: Simplify (* U U) into (pow U 2)
278.736 * [backup-simplify]: Simplify (* U (pow U 2)) into (pow U 3)
278.736 * [backup-simplify]: Simplify (* (pow U 3) (pow U 3)) into (pow U 6)
278.736 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
278.736 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 3)
278.737 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 3) (pow (cos (/ 1/2 K)) 3)) into (pow (cos (/ 1/2 K)) 6)
278.737 * [backup-simplify]: Simplify (* (pow U 6) (pow (cos (/ 1/2 K)) 6)) into (* (pow U 6) (pow (cos (/ 1/2 K)) 6))
278.737 * [backup-simplify]: Simplify (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) into (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))
278.737 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in K
278.737 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in K
278.737 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in K
278.737 * [taylor]: Taking taylor expansion of 1/16 in K
278.737 * [backup-simplify]: Simplify 1/16 into 1/16
278.737 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in K
278.737 * [taylor]: Taking taylor expansion of (pow J 4) in K
278.737 * [taylor]: Taking taylor expansion of J in K
278.737 * [backup-simplify]: Simplify J into J
278.737 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in K
278.737 * [taylor]: Taking taylor expansion of (pow U 4) in K
278.737 * [taylor]: Taking taylor expansion of U in K
278.737 * [backup-simplify]: Simplify U into U
278.737 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in K
278.737 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
278.737 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
278.737 * [taylor]: Taking taylor expansion of 1/2 in K
278.737 * [backup-simplify]: Simplify 1/2 into 1/2
278.738 * [taylor]: Taking taylor expansion of K in K
278.738 * [backup-simplify]: Simplify 0 into 0
278.738 * [backup-simplify]: Simplify 1 into 1
278.738 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
278.738 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
278.738 * [backup-simplify]: Simplify (* J J) into (pow J 2)
278.738 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
278.738 * [backup-simplify]: Simplify (* U U) into (pow U 2)
278.738 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
278.739 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
278.739 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
278.739 * [backup-simplify]: Simplify (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) into (* (pow U 4) (pow (cos (/ 1/2 K)) 4))
278.739 * [backup-simplify]: Simplify (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) into (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))
278.739 * [taylor]: Taking taylor expansion of 1 in K
278.739 * [backup-simplify]: Simplify 1 into 1
278.739 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
278.739 * [taylor]: Taking taylor expansion of 1/4 in K
278.739 * [backup-simplify]: Simplify 1/4 into 1/4
278.739 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
278.739 * [taylor]: Taking taylor expansion of (pow J 2) in K
278.739 * [taylor]: Taking taylor expansion of J in K
278.739 * [backup-simplify]: Simplify J into J
278.739 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
278.739 * [taylor]: Taking taylor expansion of (pow U 2) in K
278.739 * [taylor]: Taking taylor expansion of U in K
278.739 * [backup-simplify]: Simplify U into U
278.739 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
278.739 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
278.739 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
278.739 * [taylor]: Taking taylor expansion of 1/2 in K
278.739 * [backup-simplify]: Simplify 1/2 into 1/2
278.739 * [taylor]: Taking taylor expansion of K in K
278.739 * [backup-simplify]: Simplify 0 into 0
278.739 * [backup-simplify]: Simplify 1 into 1
278.740 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
278.740 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
278.740 * [backup-simplify]: Simplify (* J J) into (pow J 2)
278.740 * [backup-simplify]: Simplify (* U U) into (pow U 2)
278.740 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
278.740 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
278.740 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
278.740 * [backup-simplify]: Simplify (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))) into (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))
278.740 * [backup-simplify]: Simplify (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) into (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))))
278.740 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) into (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))))
278.741 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) into (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1)
278.741 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
278.741 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (- (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))
278.741 * [backup-simplify]: Simplify (+ (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (- (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))
278.742 * [backup-simplify]: Simplify (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))
278.743 * [backup-simplify]: Simplify (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) into (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))))
278.743 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
278.743 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (pow J 2))) into 0
278.743 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (* 0 (pow J 3))) into 0
278.743 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
278.743 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
278.743 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 3) 0) (* 0 (pow (cos (/ 1/2 K)) 3))) into 0
278.743 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
278.743 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (pow U 2))) into 0
278.743 * [backup-simplify]: Simplify (+ (* (pow U 3) 0) (* 0 (pow U 3))) into 0
278.743 * [backup-simplify]: Simplify (+ (* (pow U 6) 0) (* 0 (pow (cos (/ 1/2 K)) 6))) into 0
278.744 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) (+ (* (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) (/ 0 (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))))) into 0
278.744 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) into 0
278.745 * [backup-simplify]: Simplify (+ 0 0) into 0
278.745 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
278.745 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
278.745 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
278.745 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
278.745 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
278.745 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow U 2))) into 0
278.745 * [backup-simplify]: Simplify (+ (* (pow U 4) 0) (* 0 (pow (cos (/ 1/2 K)) 4))) into 0
278.745 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) (+ (* (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) (/ 0 (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))))) into 0
278.746 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))))) into 0
278.746 * [backup-simplify]: Simplify (+ 0 0) into 0
278.746 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
278.746 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
278.746 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
278.746 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
278.747 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
278.747 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
278.748 * [backup-simplify]: Simplify (- 0) into 0
278.748 * [backup-simplify]: Simplify (+ 0 0) into 0
278.749 * [backup-simplify]: Simplify (- (/ 0 (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) (+ (* (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) (/ 0 (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))))) into 0
278.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))))) into 0
278.750 * [taylor]: Taking taylor expansion of (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))))) in U
278.750 * [taylor]: Taking taylor expansion of -2 in U
278.750 * [backup-simplify]: Simplify -2 into -2
278.750 * [taylor]: Taking taylor expansion of (* (/ (cos (/ 1/2 K)) J) (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))))) in U
278.750 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
278.750 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
278.750 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
278.750 * [taylor]: Taking taylor expansion of 1/2 in U
278.750 * [backup-simplify]: Simplify 1/2 into 1/2
278.750 * [taylor]: Taking taylor expansion of K in U
278.750 * [backup-simplify]: Simplify K into K
278.750 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
278.750 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
278.750 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
278.750 * [taylor]: Taking taylor expansion of J in U
278.750 * [backup-simplify]: Simplify J into J
278.750 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
278.750 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
278.751 * [backup-simplify]: Simplify (- 0) into 0
278.751 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
278.751 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
278.751 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) in U
278.751 * [taylor]: Taking taylor expansion of (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) in U
278.751 * [taylor]: Taking taylor expansion of (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) in U
278.751 * [taylor]: Taking taylor expansion of 1 in U
278.751 * [backup-simplify]: Simplify 1 into 1
278.751 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))) in U
278.751 * [taylor]: Taking taylor expansion of 1/64 in U
278.751 * [backup-simplify]: Simplify 1/64 into 1/64
278.751 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) in U
278.751 * [taylor]: Taking taylor expansion of (pow J 6) in U
278.751 * [taylor]: Taking taylor expansion of J in U
278.751 * [backup-simplify]: Simplify J into J
278.751 * [taylor]: Taking taylor expansion of (* (pow U 6) (pow (cos (/ 1/2 K)) 6)) in U
278.751 * [taylor]: Taking taylor expansion of (pow U 6) in U
278.751 * [taylor]: Taking taylor expansion of U in U
278.751 * [backup-simplify]: Simplify 0 into 0
278.751 * [backup-simplify]: Simplify 1 into 1
278.751 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 6) in U
278.751 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
278.751 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
278.751 * [taylor]: Taking taylor expansion of 1/2 in U
278.751 * [backup-simplify]: Simplify 1/2 into 1/2
278.751 * [taylor]: Taking taylor expansion of K in U
278.751 * [backup-simplify]: Simplify K into K
278.751 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
278.751 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
278.751 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
278.751 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
278.751 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
278.752 * [backup-simplify]: Simplify (- 0) into 0
278.752 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
278.752 * [backup-simplify]: Simplify (* J J) into (pow J 2)
278.752 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
278.752 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
278.752 * [backup-simplify]: Simplify (* 1 1) into 1
278.752 * [backup-simplify]: Simplify (* 1 1) into 1
278.753 * [backup-simplify]: Simplify (* 1 1) into 1
278.753 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
278.753 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 3)
278.753 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 3) (pow (cos (/ 1/2 K)) 3)) into (pow (cos (/ 1/2 K)) 6)
278.753 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 6)) into (pow (cos (/ 1/2 K)) 6)
278.753 * [backup-simplify]: Simplify (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)) into (/ (pow J 6) (pow (cos (/ 1/2 K)) 6))
278.753 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in U
278.753 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in U
278.753 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in U
278.753 * [taylor]: Taking taylor expansion of 1/16 in U
278.753 * [backup-simplify]: Simplify 1/16 into 1/16
278.753 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in U
278.753 * [taylor]: Taking taylor expansion of (pow J 4) in U
278.753 * [taylor]: Taking taylor expansion of J in U
278.753 * [backup-simplify]: Simplify J into J
278.753 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in U
278.753 * [taylor]: Taking taylor expansion of (pow U 4) in U
278.753 * [taylor]: Taking taylor expansion of U in U
278.753 * [backup-simplify]: Simplify 0 into 0
278.753 * [backup-simplify]: Simplify 1 into 1
278.753 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in U
278.753 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
278.753 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
278.753 * [taylor]: Taking taylor expansion of 1/2 in U
278.753 * [backup-simplify]: Simplify 1/2 into 1/2
278.753 * [taylor]: Taking taylor expansion of K in U
278.753 * [backup-simplify]: Simplify K into K
278.753 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
278.753 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
278.753 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
278.754 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
278.754 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
278.754 * [backup-simplify]: Simplify (- 0) into 0
278.754 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
278.754 * [backup-simplify]: Simplify (* J J) into (pow J 2)
278.754 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
278.754 * [backup-simplify]: Simplify (* 1 1) into 1
278.754 * [backup-simplify]: Simplify (* 1 1) into 1
278.755 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
278.755 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
278.755 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 4)) into (pow (cos (/ 1/2 K)) 4)
278.755 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))
278.755 * [taylor]: Taking taylor expansion of 1 in U
278.755 * [backup-simplify]: Simplify 1 into 1
278.755 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
278.755 * [taylor]: Taking taylor expansion of 1/4 in U
278.755 * [backup-simplify]: Simplify 1/4 into 1/4
278.755 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
278.755 * [taylor]: Taking taylor expansion of (pow J 2) in U
278.755 * [taylor]: Taking taylor expansion of J in U
278.755 * [backup-simplify]: Simplify J into J
278.755 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
278.755 * [taylor]: Taking taylor expansion of (pow U 2) in U
278.755 * [taylor]: Taking taylor expansion of U in U
278.755 * [backup-simplify]: Simplify 0 into 0
278.755 * [backup-simplify]: Simplify 1 into 1
278.755 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
278.755 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
278.755 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
278.755 * [taylor]: Taking taylor expansion of 1/2 in U
278.755 * [backup-simplify]: Simplify 1/2 into 1/2
278.755 * [taylor]: Taking taylor expansion of K in U
278.755 * [backup-simplify]: Simplify K into K
278.755 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
278.755 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
278.755 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
278.755 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
278.755 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
278.756 * [backup-simplify]: Simplify (- 0) into 0
278.756 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
278.756 * [backup-simplify]: Simplify (* J J) into (pow J 2)
278.756 * [backup-simplify]: Simplify (* 1 1) into 1
278.756 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
278.756 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
278.756 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
278.757 * [backup-simplify]: Simplify (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6))) into (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))
278.757 * [backup-simplify]: Simplify (+ 0 (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))) into (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))
278.757 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
278.757 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
278.757 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
278.757 * [backup-simplify]: Simplify (/ (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6))) (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
278.757 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
278.758 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
278.758 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (pow J 2))) into 0
278.758 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (* 0 (pow J 3))) into 0
278.758 * [backup-simplify]: Simplify (+ 0) into 0
278.758 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
278.758 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
278.759 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
278.759 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
278.759 * [backup-simplify]: Simplify (- 0) into 0
278.760 * [backup-simplify]: Simplify (+ 0 0) into 0
278.760 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
278.760 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
278.760 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 3) 0) (* 0 (pow (cos (/ 1/2 K)) 3))) into 0
278.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
278.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
278.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
278.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 6))) into 0
278.762 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)) (/ 0 (pow (cos (/ 1/2 K)) 6))))) into 0
278.762 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))) into 0
278.762 * [backup-simplify]: Simplify (+ 0 0) into 0
278.762 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
278.762 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
278.763 * [backup-simplify]: Simplify (+ 0) into 0
278.763 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
278.763 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
278.764 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
278.764 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
278.764 * [backup-simplify]: Simplify (- 0) into 0
278.764 * [backup-simplify]: Simplify (+ 0 0) into 0
278.764 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
278.765 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
278.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
278.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
278.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 4))) into 0
278.766 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
278.766 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) into 0
278.767 * [backup-simplify]: Simplify (+ 0 0) into 0
278.767 * [backup-simplify]: Simplify (+ 0 0) into 0
278.767 * [backup-simplify]: Simplify (- (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (+ (* (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))))) into 0
278.767 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
278.768 * [taylor]: Taking taylor expansion of (* -2 (* (/ (cos (/ 1/2 K)) J) (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))))) in U
278.768 * [taylor]: Taking taylor expansion of -2 in U
278.768 * [backup-simplify]: Simplify -2 into -2
278.768 * [taylor]: Taking taylor expansion of (* (/ (cos (/ 1/2 K)) J) (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))))) in U
278.768 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
278.768 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
278.768 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
278.768 * [taylor]: Taking taylor expansion of 1/2 in U
278.768 * [backup-simplify]: Simplify 1/2 into 1/2
278.768 * [taylor]: Taking taylor expansion of K in U
278.768 * [backup-simplify]: Simplify K into K
278.768 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
278.768 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
278.768 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
278.768 * [taylor]: Taking taylor expansion of J in U
278.768 * [backup-simplify]: Simplify J into J
278.768 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
278.768 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
278.768 * [backup-simplify]: Simplify (- 0) into 0
278.768 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
278.768 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
278.768 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) in U
278.768 * [taylor]: Taking taylor expansion of (/ (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) in U
278.768 * [taylor]: Taking taylor expansion of (+ 1 (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))))) in U
278.768 * [taylor]: Taking taylor expansion of 1 in U
278.768 * [backup-simplify]: Simplify 1 into 1
278.768 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6)))) in U
278.768 * [taylor]: Taking taylor expansion of 1/64 in U
278.768 * [backup-simplify]: Simplify 1/64 into 1/64
278.768 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow U 6) (pow (cos (/ 1/2 K)) 6))) in U
278.768 * [taylor]: Taking taylor expansion of (pow J 6) in U
278.769 * [taylor]: Taking taylor expansion of J in U
278.769 * [backup-simplify]: Simplify J into J
278.769 * [taylor]: Taking taylor expansion of (* (pow U 6) (pow (cos (/ 1/2 K)) 6)) in U
278.769 * [taylor]: Taking taylor expansion of (pow U 6) in U
278.769 * [taylor]: Taking taylor expansion of U in U
278.769 * [backup-simplify]: Simplify 0 into 0
278.769 * [backup-simplify]: Simplify 1 into 1
278.769 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 6) in U
278.769 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
278.769 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
278.769 * [taylor]: Taking taylor expansion of 1/2 in U
278.769 * [backup-simplify]: Simplify 1/2 into 1/2
278.769 * [taylor]: Taking taylor expansion of K in U
278.769 * [backup-simplify]: Simplify K into K
278.769 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
278.769 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
278.769 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
278.769 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
278.769 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
278.769 * [backup-simplify]: Simplify (- 0) into 0
278.769 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
278.769 * [backup-simplify]: Simplify (* J J) into (pow J 2)
278.769 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
278.769 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
278.770 * [backup-simplify]: Simplify (* 1 1) into 1
278.770 * [backup-simplify]: Simplify (* 1 1) into 1
278.770 * [backup-simplify]: Simplify (* 1 1) into 1
278.770 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
278.770 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 3)
278.770 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 3) (pow (cos (/ 1/2 K)) 3)) into (pow (cos (/ 1/2 K)) 6)
278.770 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 6)) into (pow (cos (/ 1/2 K)) 6)
278.771 * [backup-simplify]: Simplify (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)) into (/ (pow J 6) (pow (cos (/ 1/2 K)) 6))
278.771 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in U
278.771 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in U
278.771 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in U
278.771 * [taylor]: Taking taylor expansion of 1/16 in U
278.771 * [backup-simplify]: Simplify 1/16 into 1/16
278.771 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in U
278.771 * [taylor]: Taking taylor expansion of (pow J 4) in U
278.771 * [taylor]: Taking taylor expansion of J in U
278.771 * [backup-simplify]: Simplify J into J
278.771 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in U
278.771 * [taylor]: Taking taylor expansion of (pow U 4) in U
278.771 * [taylor]: Taking taylor expansion of U in U
278.771 * [backup-simplify]: Simplify 0 into 0
278.771 * [backup-simplify]: Simplify 1 into 1
278.771 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in U
278.771 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
278.771 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
278.771 * [taylor]: Taking taylor expansion of 1/2 in U
278.771 * [backup-simplify]: Simplify 1/2 into 1/2
278.771 * [taylor]: Taking taylor expansion of K in U
278.771 * [backup-simplify]: Simplify K into K
278.771 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
278.771 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
278.771 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
278.771 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
278.771 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
278.772 * [backup-simplify]: Simplify (- 0) into 0
278.772 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
278.772 * [backup-simplify]: Simplify (* J J) into (pow J 2)
278.772 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
278.772 * [backup-simplify]: Simplify (* 1 1) into 1
278.773 * [backup-simplify]: Simplify (* 1 1) into 1
278.773 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
278.773 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
278.773 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 4)) into (pow (cos (/ 1/2 K)) 4)
278.773 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))
278.773 * [taylor]: Taking taylor expansion of 1 in U
278.773 * [backup-simplify]: Simplify 1 into 1
278.773 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
278.773 * [taylor]: Taking taylor expansion of 1/4 in U
278.774 * [backup-simplify]: Simplify 1/4 into 1/4
278.774 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
278.774 * [taylor]: Taking taylor expansion of (pow J 2) in U
278.774 * [taylor]: Taking taylor expansion of J in U
278.774 * [backup-simplify]: Simplify J into J
278.774 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
278.774 * [taylor]: Taking taylor expansion of (pow U 2) in U
278.774 * [taylor]: Taking taylor expansion of U in U
278.774 * [backup-simplify]: Simplify 0 into 0
278.774 * [backup-simplify]: Simplify 1 into 1
278.774 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
278.774 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
278.774 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
278.774 * [taylor]: Taking taylor expansion of 1/2 in U
278.774 * [backup-simplify]: Simplify 1/2 into 1/2
278.774 * [taylor]: Taking taylor expansion of K in U
278.774 * [backup-simplify]: Simplify K into K
278.774 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
278.774 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
278.774 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
278.774 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
278.774 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
278.775 * [backup-simplify]: Simplify (- 0) into 0
278.775 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
278.775 * [backup-simplify]: Simplify (* J J) into (pow J 2)
278.775 * [backup-simplify]: Simplify (* 1 1) into 1
278.775 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
278.775 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
278.776 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
278.776 * [backup-simplify]: Simplify (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6))) into (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))
278.776 * [backup-simplify]: Simplify (+ 0 (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))) into (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))
278.776 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
278.776 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
278.777 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
278.777 * [backup-simplify]: Simplify (/ (* 1/64 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6))) (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
278.777 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
278.777 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
278.778 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (pow J 2))) into 0
278.778 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (* 0 (pow J 3))) into 0
278.778 * [backup-simplify]: Simplify (+ 0) into 0
278.779 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
278.779 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
278.779 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
278.779 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
278.780 * [backup-simplify]: Simplify (- 0) into 0
278.780 * [backup-simplify]: Simplify (+ 0 0) into 0
278.780 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
278.780 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
278.780 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 3) 0) (* 0 (pow (cos (/ 1/2 K)) 3))) into 0
278.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
278.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
278.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
278.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 6))) into 0
278.782 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)) (/ 0 (pow (cos (/ 1/2 K)) 6))))) into 0
278.782 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))) into 0
278.783 * [backup-simplify]: Simplify (+ 0 0) into 0
278.783 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
278.783 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
278.783 * [backup-simplify]: Simplify (+ 0) into 0
278.783 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
278.784 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
278.784 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
278.784 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
278.785 * [backup-simplify]: Simplify (- 0) into 0
278.785 * [backup-simplify]: Simplify (+ 0 0) into 0
278.785 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
278.785 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
278.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
278.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
278.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 4))) into 0
278.786 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
278.790 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) into 0
278.790 * [backup-simplify]: Simplify (+ 0 0) into 0
278.790 * [backup-simplify]: Simplify (+ 0 0) into 0
278.791 * [backup-simplify]: Simplify (- (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (+ (* (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))))) into 0
278.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
278.791 * [backup-simplify]: Simplify (* (/ (cos (/ 1/2 K)) J) (* 1/2 (/ J (cos (/ 1/2 K))))) into 1/2
278.791 * [backup-simplify]: Simplify (* -2 1/2) into -1
278.791 * [taylor]: Taking taylor expansion of -1 in K
278.792 * [backup-simplify]: Simplify -1 into -1
278.792 * [taylor]: Taking taylor expansion of -1 in J
278.792 * [backup-simplify]: Simplify -1 into -1
278.792 * [backup-simplify]: Simplify (+ 0) into 0
278.792 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
278.792 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
278.793 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
278.793 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
278.793 * [backup-simplify]: Simplify (- 0) into 0
278.793 * [backup-simplify]: Simplify (+ 0 0) into 0
278.794 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0
278.794 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
278.794 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0
278.794 * [taylor]: Taking taylor expansion of 0 in K
278.794 * [backup-simplify]: Simplify 0 into 0
278.794 * [taylor]: Taking taylor expansion of 0 in J
278.794 * [backup-simplify]: Simplify 0 into 0
278.794 * [taylor]: Taking taylor expansion of 0 in J
278.794 * [backup-simplify]: Simplify 0 into 0
278.794 * [backup-simplify]: Simplify -1 into -1
278.795 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
278.795 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
278.795 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (+ (* 0 0) (* 0 (pow J 3)))) into 0
278.796 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
278.796 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
278.796 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
278.797 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
278.797 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
278.797 * [backup-simplify]: Simplify (- 0) into 0
278.798 * [backup-simplify]: Simplify (+ 0 0) into 0
278.798 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
278.798 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
278.799 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 3) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 3)))) into 0
278.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
278.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
278.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
278.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 6)))) into 0
278.801 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)) (/ 0 (pow (cos (/ 1/2 K)) 6))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 6))))) into 0
278.802 * [backup-simplify]: Simplify (+ (* 1/64 0) (+ (* 0 0) (* 0 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6))))) into 0
278.802 * [backup-simplify]: Simplify (+ 0 0) into 0
278.802 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
278.803 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
278.804 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
278.804 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
278.805 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
278.805 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
278.806 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
278.806 * [backup-simplify]: Simplify (- 0) into 0
278.807 * [backup-simplify]: Simplify (+ 0 0) into 0
278.807 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
278.808 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
278.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
278.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
278.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 4)))) into 0
278.811 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
278.812 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))) into 0
278.812 * [backup-simplify]: Simplify (+ 0 0) into 0
278.813 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
278.813 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))
278.813 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))
278.814 * [backup-simplify]: Simplify (- (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (+ (* (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) (/ (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))) (* 0 (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))))) into 1
278.815 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
278.816 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
278.817 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
278.817 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
278.818 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
278.819 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
278.819 * [backup-simplify]: Simplify (- 0) into 0
278.819 * [backup-simplify]: Simplify (+ 0 0) into 0
278.820 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
278.820 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1/2 K)) J) (/ (cos (/ 1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))
278.821 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))))
278.821 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K
278.821 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K
278.821 * [taylor]: Taking taylor expansion of 2 in K
278.821 * [backup-simplify]: Simplify 2 into 2
278.821 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K
278.821 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
278.821 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
278.822 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
278.822 * [taylor]: Taking taylor expansion of 1/2 in K
278.822 * [backup-simplify]: Simplify 1/2 into 1/2
278.822 * [taylor]: Taking taylor expansion of K in K
278.822 * [backup-simplify]: Simplify 0 into 0
278.822 * [backup-simplify]: Simplify 1 into 1
278.822 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
278.822 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
278.822 * [taylor]: Taking taylor expansion of (pow J 2) in K
278.822 * [taylor]: Taking taylor expansion of J in K
278.822 * [backup-simplify]: Simplify J into J
278.822 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
278.822 * [backup-simplify]: Simplify (* J J) into (pow J 2)
278.823 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))
278.823 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))
278.823 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))))
278.823 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J
278.823 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J
278.823 * [taylor]: Taking taylor expansion of 2 in J
278.823 * [backup-simplify]: Simplify 2 into 2
278.823 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J
278.823 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
278.823 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
278.823 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
278.823 * [taylor]: Taking taylor expansion of 1/2 in J
278.823 * [backup-simplify]: Simplify 1/2 into 1/2
278.823 * [taylor]: Taking taylor expansion of K in J
278.823 * [backup-simplify]: Simplify K into K
278.823 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
278.823 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
278.823 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
278.824 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
278.824 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
278.824 * [backup-simplify]: Simplify (- 0) into 0
278.824 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
278.824 * [taylor]: Taking taylor expansion of (pow J 2) in J
278.824 * [taylor]: Taking taylor expansion of J in J
278.824 * [backup-simplify]: Simplify 0 into 0
278.824 * [backup-simplify]: Simplify 1 into 1
278.824 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
278.825 * [backup-simplify]: Simplify (* 1 1) into 1
278.825 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2)
278.825 * [backup-simplify]: Simplify (+ 0) into 0
278.826 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
278.826 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
278.827 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
278.827 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
278.828 * [backup-simplify]: Simplify (- 0) into 0
278.828 * [backup-simplify]: Simplify (+ 0 0) into 0
278.828 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
278.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
278.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0
278.830 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
278.831 * [backup-simplify]: Simplify (- 0) into 0
278.831 * [backup-simplify]: Simplify 0 into 0
278.831 * [taylor]: Taking taylor expansion of 0 in J
278.831 * [backup-simplify]: Simplify 0 into 0
278.831 * [taylor]: Taking taylor expansion of 0 in J
278.831 * [backup-simplify]: Simplify 0 into 0
278.831 * [backup-simplify]: Simplify 0 into 0
278.831 * [backup-simplify]: Simplify 0 into 0
278.831 * [backup-simplify]: Simplify 0 into 0
278.832 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
278.833 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0
278.834 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 3))))) into 0
278.835 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
278.836 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
278.836 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
278.837 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
278.838 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
278.838 * [backup-simplify]: Simplify (- 0) into 0
278.839 * [backup-simplify]: Simplify (+ 0 0) into 0
278.840 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
278.841 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
278.841 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 3))))) into 0
278.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
278.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
278.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
278.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 6))))) into 0
278.846 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)) (/ 0 (pow (cos (/ 1/2 K)) 6))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 6))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 6))))) into 0
278.848 * [backup-simplify]: Simplify (+ (* 1/64 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 6) (pow (cos (/ 1/2 K)) 6)))))) into 0
278.848 * [backup-simplify]: Simplify (+ 0 0) into 0
278.849 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
278.850 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0
278.851 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
278.852 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
278.852 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
278.853 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
278.854 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
278.854 * [backup-simplify]: Simplify (- 0) into 0
278.855 * [backup-simplify]: Simplify (+ 0 0) into 0
278.856 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
278.857 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
278.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
278.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
278.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 4))))) into 0
278.860 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
278.862 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))))) into 0
278.862 * [backup-simplify]: Simplify (+ 0 0) into 0
278.862 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
278.863 * [backup-simplify]: Simplify (+ 0) into 0
278.863 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
278.863 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
278.864 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
278.864 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
278.865 * [backup-simplify]: Simplify (- 0) into 0
278.865 * [backup-simplify]: Simplify (+ 0 0) into 0
278.865 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
278.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
278.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
278.867 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
278.868 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
278.868 * [backup-simplify]: Simplify (- 0) into 0
278.868 * [backup-simplify]: Simplify (+ 0 0) into 0
278.870 * [backup-simplify]: Simplify (- (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (+ (* (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))) (* 0 (/ (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))) (* 1 (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))))) into 0
278.870 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
278.871 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
278.872 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
278.872 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
278.873 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
278.874 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
278.874 * [backup-simplify]: Simplify (- 0) into 0
278.875 * [backup-simplify]: Simplify (+ 0 0) into 0
278.875 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
278.876 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1/2 K)) J) 0) (+ (* 0 (/ (cos (/ 1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))))) into 0
278.877 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0
278.877 * [taylor]: Taking taylor expansion of 0 in K
278.877 * [backup-simplify]: Simplify 0 into 0
278.877 * [taylor]: Taking taylor expansion of 0 in J
278.877 * [backup-simplify]: Simplify 0 into 0
278.877 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
278.877 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
278.878 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
278.879 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0
278.879 * [backup-simplify]: Simplify (- 0) into 0
278.879 * [taylor]: Taking taylor expansion of 0 in J
278.879 * [backup-simplify]: Simplify 0 into 0
278.879 * [taylor]: Taking taylor expansion of 0 in J
278.879 * [backup-simplify]: Simplify 0 into 0
278.879 * [taylor]: Taking taylor expansion of 0 in J
278.879 * [backup-simplify]: Simplify 0 into 0
278.880 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
278.881 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
278.881 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
278.882 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
278.882 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
278.883 * [backup-simplify]: Simplify (- 0) into 0
278.883 * [backup-simplify]: Simplify (+ 0 0) into 0
278.884 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
278.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
278.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
278.887 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
278.887 * [backup-simplify]: Simplify (- 0) into 0
278.887 * [backup-simplify]: Simplify 0 into 0
278.887 * [backup-simplify]: Simplify 0 into 0
278.887 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U)
278.894 * [backup-simplify]: Simplify (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ 1 (- U)) (* (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))) 2)) (/ (/ 1 (- U)) (* (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))) 2))) (* (/ (/ 1 (- U)) (* (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))) 2)) (/ (/ 1 (- U)) (* (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))) 2)))) (* (/ (/ 1 (- U)) (* (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))) 2)) (/ (/ 1 (- U)) (* (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))) 2)))))) (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))) -2) (* (sqrt (sqrt (+ (* (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))))) (- (* 1 1) (* (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1))))) (sqrt (sqrt (+ (* (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))))) (- (* 1 1) (* (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1))))))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))))
278.894 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) in (U K J) around 0
278.895 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) in J
278.895 * [taylor]: Taking taylor expansion of 2 in J
278.895 * [backup-simplify]: Simplify 2 into 2
278.895 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J
278.895 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
278.895 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
278.895 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
278.895 * [taylor]: Taking taylor expansion of -1/2 in J
278.895 * [backup-simplify]: Simplify -1/2 into -1/2
278.895 * [taylor]: Taking taylor expansion of K in J
278.895 * [backup-simplify]: Simplify K into K
278.895 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
278.895 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
278.895 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
278.895 * [taylor]: Taking taylor expansion of J in J
278.895 * [backup-simplify]: Simplify 0 into 0
278.895 * [backup-simplify]: Simplify 1 into 1
278.895 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
278.895 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
278.895 * [backup-simplify]: Simplify (- 0) into 0
278.895 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
278.895 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
278.895 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J
278.895 * [taylor]: Taking taylor expansion of (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
278.895 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) in J
278.896 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) in J
278.896 * [taylor]: Taking taylor expansion of 1/64 in J
278.896 * [backup-simplify]: Simplify 1/64 into 1/64
278.896 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) in J
278.896 * [taylor]: Taking taylor expansion of (pow J 6) in J
278.896 * [taylor]: Taking taylor expansion of J in J
278.896 * [backup-simplify]: Simplify 0 into 0
278.896 * [backup-simplify]: Simplify 1 into 1
278.896 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 6) (pow U 6)) in J
278.896 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 6) in J
278.896 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
278.896 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
278.896 * [taylor]: Taking taylor expansion of -1/2 in J
278.896 * [backup-simplify]: Simplify -1/2 into -1/2
278.896 * [taylor]: Taking taylor expansion of K in J
278.896 * [backup-simplify]: Simplify K into K
278.896 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
278.896 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
278.896 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
278.896 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
278.896 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
278.896 * [backup-simplify]: Simplify (- 0) into 0
278.896 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
278.896 * [taylor]: Taking taylor expansion of (pow U 6) in J
278.896 * [taylor]: Taking taylor expansion of U in J
278.896 * [backup-simplify]: Simplify U into U
278.897 * [backup-simplify]: Simplify (* 1 1) into 1
278.897 * [backup-simplify]: Simplify (* 1 1) into 1
278.897 * [backup-simplify]: Simplify (* 1 1) into 1
278.897 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
278.897 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 3)
278.897 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 3) (pow (cos (/ -1/2 K)) 3)) into (pow (cos (/ -1/2 K)) 6)
278.897 * [backup-simplify]: Simplify (* U U) into (pow U 2)
278.897 * [backup-simplify]: Simplify (* U (pow U 2)) into (pow U 3)
278.897 * [backup-simplify]: Simplify (* (pow U 3) (pow U 3)) into (pow U 6)
278.898 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 6) (pow U 6)) into (* (pow (cos (/ -1/2 K)) 6) (pow U 6))
278.898 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) into (/ 1 (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))
278.898 * [taylor]: Taking taylor expansion of 1 in J
278.898 * [backup-simplify]: Simplify 1 into 1
278.898 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
278.898 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in J
278.898 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in J
278.898 * [taylor]: Taking taylor expansion of 1/16 in J
278.898 * [backup-simplify]: Simplify 1/16 into 1/16
278.898 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in J
278.898 * [taylor]: Taking taylor expansion of (pow J 4) in J
278.898 * [taylor]: Taking taylor expansion of J in J
278.898 * [backup-simplify]: Simplify 0 into 0
278.898 * [backup-simplify]: Simplify 1 into 1
278.898 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in J
278.898 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in J
278.898 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
278.898 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
278.898 * [taylor]: Taking taylor expansion of -1/2 in J
278.898 * [backup-simplify]: Simplify -1/2 into -1/2
278.898 * [taylor]: Taking taylor expansion of K in J
278.898 * [backup-simplify]: Simplify K into K
278.898 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
278.898 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
278.898 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
278.898 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
278.898 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
278.898 * [backup-simplify]: Simplify (- 0) into 0
278.898 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
278.898 * [taylor]: Taking taylor expansion of (pow U 4) in J
278.898 * [taylor]: Taking taylor expansion of U in J
278.899 * [backup-simplify]: Simplify U into U
278.899 * [backup-simplify]: Simplify (* 1 1) into 1
278.899 * [backup-simplify]: Simplify (* 1 1) into 1
278.899 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
278.899 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
278.899 * [backup-simplify]: Simplify (* U U) into (pow U 2)
278.899 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
278.899 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) into (* (pow (cos (/ -1/2 K)) 4) (pow U 4))
278.899 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) into (/ 1 (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))
278.899 * [taylor]: Taking taylor expansion of 1 in J
278.900 * [backup-simplify]: Simplify 1 into 1
278.900 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
278.900 * [taylor]: Taking taylor expansion of 1/4 in J
278.900 * [backup-simplify]: Simplify 1/4 into 1/4
278.900 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
278.900 * [taylor]: Taking taylor expansion of (pow J 2) in J
278.900 * [taylor]: Taking taylor expansion of J in J
278.900 * [backup-simplify]: Simplify 0 into 0
278.900 * [backup-simplify]: Simplify 1 into 1
278.900 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
278.900 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
278.900 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
278.900 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
278.900 * [taylor]: Taking taylor expansion of -1/2 in J
278.900 * [backup-simplify]: Simplify -1/2 into -1/2
278.900 * [taylor]: Taking taylor expansion of K in J
278.900 * [backup-simplify]: Simplify K into K
278.900 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
278.900 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
278.900 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
278.900 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
278.900 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
278.900 * [backup-simplify]: Simplify (- 0) into 0
278.900 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
278.900 * [taylor]: Taking taylor expansion of (pow U 2) in J
278.900 * [taylor]: Taking taylor expansion of U in J
278.900 * [backup-simplify]: Simplify U into U
278.901 * [backup-simplify]: Simplify (* 1 1) into 1
278.901 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
278.901 * [backup-simplify]: Simplify (* U U) into (pow U 2)
278.901 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
278.901 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
278.901 * [backup-simplify]: Simplify (+ 0 1) into 1
278.901 * [backup-simplify]: Simplify (+ 0 1) into 1
278.902 * [backup-simplify]: Simplify (+ 1 0) into 1
278.902 * [backup-simplify]: Simplify (/ 1 1) into 1
278.902 * [backup-simplify]: Simplify (sqrt 1) into 1
278.902 * [backup-simplify]: Simplify (+ 0 0) into 0
278.903 * [backup-simplify]: Simplify (+ 0 0) into 0
278.903 * [backup-simplify]: Simplify (+ 0 0) into 0
278.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
278.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
278.904 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) in K
278.904 * [taylor]: Taking taylor expansion of 2 in K
278.904 * [backup-simplify]: Simplify 2 into 2
278.904 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K
278.904 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
278.904 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
278.904 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
278.904 * [taylor]: Taking taylor expansion of -1/2 in K
278.904 * [backup-simplify]: Simplify -1/2 into -1/2
278.904 * [taylor]: Taking taylor expansion of K in K
278.904 * [backup-simplify]: Simplify 0 into 0
278.904 * [backup-simplify]: Simplify 1 into 1
278.904 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
278.904 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
278.904 * [taylor]: Taking taylor expansion of J in K
278.904 * [backup-simplify]: Simplify J into J
278.904 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
278.904 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K
278.904 * [taylor]: Taking taylor expansion of (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
278.904 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) in K
278.904 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) in K
278.904 * [taylor]: Taking taylor expansion of 1/64 in K
278.904 * [backup-simplify]: Simplify 1/64 into 1/64
278.905 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) in K
278.905 * [taylor]: Taking taylor expansion of (pow J 6) in K
278.905 * [taylor]: Taking taylor expansion of J in K
278.905 * [backup-simplify]: Simplify J into J
278.905 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 6) (pow U 6)) in K
278.905 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 6) in K
278.905 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
278.905 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
278.905 * [taylor]: Taking taylor expansion of -1/2 in K
278.905 * [backup-simplify]: Simplify -1/2 into -1/2
278.905 * [taylor]: Taking taylor expansion of K in K
278.905 * [backup-simplify]: Simplify 0 into 0
278.905 * [backup-simplify]: Simplify 1 into 1
278.905 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
278.905 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
278.905 * [taylor]: Taking taylor expansion of (pow U 6) in K
278.905 * [taylor]: Taking taylor expansion of U in K
278.905 * [backup-simplify]: Simplify U into U
278.905 * [backup-simplify]: Simplify (* J J) into (pow J 2)
278.905 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
278.905 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
278.905 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
278.905 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 3)
278.905 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 3) (pow (cos (/ -1/2 K)) 3)) into (pow (cos (/ -1/2 K)) 6)
278.906 * [backup-simplify]: Simplify (* U U) into (pow U 2)
278.906 * [backup-simplify]: Simplify (* U (pow U 2)) into (pow U 3)
278.906 * [backup-simplify]: Simplify (* (pow U 3) (pow U 3)) into (pow U 6)
278.906 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 6) (pow U 6)) into (* (pow (cos (/ -1/2 K)) 6) (pow U 6))
278.906 * [backup-simplify]: Simplify (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) into (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))
278.906 * [taylor]: Taking taylor expansion of 1 in K
278.906 * [backup-simplify]: Simplify 1 into 1
278.906 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
278.906 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in K
278.906 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in K
278.906 * [taylor]: Taking taylor expansion of 1/16 in K
278.906 * [backup-simplify]: Simplify 1/16 into 1/16
278.906 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in K
278.906 * [taylor]: Taking taylor expansion of (pow J 4) in K
278.906 * [taylor]: Taking taylor expansion of J in K
278.906 * [backup-simplify]: Simplify J into J
278.906 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in K
278.906 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in K
278.906 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
278.906 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
278.906 * [taylor]: Taking taylor expansion of -1/2 in K
278.906 * [backup-simplify]: Simplify -1/2 into -1/2
278.906 * [taylor]: Taking taylor expansion of K in K
278.906 * [backup-simplify]: Simplify 0 into 0
278.906 * [backup-simplify]: Simplify 1 into 1
278.906 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
278.906 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
278.906 * [taylor]: Taking taylor expansion of (pow U 4) in K
278.907 * [taylor]: Taking taylor expansion of U in K
278.907 * [backup-simplify]: Simplify U into U
278.907 * [backup-simplify]: Simplify (* J J) into (pow J 2)
278.907 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
278.907 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
278.907 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
278.907 * [backup-simplify]: Simplify (* U U) into (pow U 2)
278.907 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
278.907 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) into (* (pow (cos (/ -1/2 K)) 4) (pow U 4))
278.907 * [backup-simplify]: Simplify (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) into (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))
278.907 * [taylor]: Taking taylor expansion of 1 in K
278.907 * [backup-simplify]: Simplify 1 into 1
278.907 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
278.907 * [taylor]: Taking taylor expansion of 1/4 in K
278.907 * [backup-simplify]: Simplify 1/4 into 1/4
278.907 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
278.907 * [taylor]: Taking taylor expansion of (pow J 2) in K
278.907 * [taylor]: Taking taylor expansion of J in K
278.907 * [backup-simplify]: Simplify J into J
278.907 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
278.907 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
278.907 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
278.907 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
278.907 * [taylor]: Taking taylor expansion of -1/2 in K
278.907 * [backup-simplify]: Simplify -1/2 into -1/2
278.907 * [taylor]: Taking taylor expansion of K in K
278.907 * [backup-simplify]: Simplify 0 into 0
278.907 * [backup-simplify]: Simplify 1 into 1
278.908 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
278.908 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
278.908 * [taylor]: Taking taylor expansion of (pow U 2) in K
278.908 * [taylor]: Taking taylor expansion of U in K
278.908 * [backup-simplify]: Simplify U into U
278.908 * [backup-simplify]: Simplify (* J J) into (pow J 2)
278.908 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
278.908 * [backup-simplify]: Simplify (* U U) into (pow U 2)
278.908 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
278.908 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
278.908 * [backup-simplify]: Simplify (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) into (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))))
278.908 * [backup-simplify]: Simplify (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) into (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1)
278.909 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) into (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))))
278.909 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) into (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1)
278.909 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
278.909 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (- (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
278.910 * [backup-simplify]: Simplify (+ (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (- (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
278.910 * [backup-simplify]: Simplify (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
278.911 * [backup-simplify]: Simplify (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))
278.911 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
278.911 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (pow J 2))) into 0
278.911 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (* 0 (pow J 3))) into 0
278.911 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
278.911 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (pow U 2))) into 0
278.911 * [backup-simplify]: Simplify (+ (* (pow U 3) 0) (* 0 (pow U 3))) into 0
278.911 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
278.912 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
278.912 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 3) 0) (* 0 (pow (cos (/ -1/2 K)) 3))) into 0
278.912 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 6) 0) (* 0 (pow U 6))) into 0
278.912 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) (+ (* (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) (/ 0 (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))))) into 0
278.913 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))))) into 0
278.913 * [backup-simplify]: Simplify (+ 0 0) into 0
278.913 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
278.913 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
278.913 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
278.913 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow U 2))) into 0
278.913 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
278.913 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
278.914 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (* 0 (pow U 4))) into 0
278.914 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) (+ (* (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) (/ 0 (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))))) into 0
278.918 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))))) into 0
278.919 * [backup-simplify]: Simplify (+ 0 0) into 0
278.919 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
278.919 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
278.919 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
278.919 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
278.920 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
278.920 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
278.920 * [backup-simplify]: Simplify (- 0) into 0
278.921 * [backup-simplify]: Simplify (+ 0 0) into 0
278.922 * [backup-simplify]: Simplify (- (/ 0 (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) (+ (* (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) (/ 0 (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) into 0
278.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) into 0
278.923 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) in U
278.923 * [taylor]: Taking taylor expansion of 2 in U
278.923 * [backup-simplify]: Simplify 2 into 2
278.923 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
278.923 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
278.923 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
278.923 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
278.923 * [taylor]: Taking taylor expansion of -1/2 in U
278.923 * [backup-simplify]: Simplify -1/2 into -1/2
278.923 * [taylor]: Taking taylor expansion of K in U
278.923 * [backup-simplify]: Simplify K into K
278.923 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
278.923 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
278.923 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
278.923 * [taylor]: Taking taylor expansion of J in U
278.923 * [backup-simplify]: Simplify J into J
278.923 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
278.923 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
278.924 * [backup-simplify]: Simplify (- 0) into 0
278.924 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
278.924 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
278.924 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
278.924 * [taylor]: Taking taylor expansion of (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
278.924 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) in U
278.924 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) in U
278.924 * [taylor]: Taking taylor expansion of 1/64 in U
278.924 * [backup-simplify]: Simplify 1/64 into 1/64
278.924 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) in U
278.924 * [taylor]: Taking taylor expansion of (pow J 6) in U
278.924 * [taylor]: Taking taylor expansion of J in U
278.924 * [backup-simplify]: Simplify J into J
278.924 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 6) (pow U 6)) in U
278.924 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 6) in U
278.924 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
278.924 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
278.924 * [taylor]: Taking taylor expansion of -1/2 in U
278.924 * [backup-simplify]: Simplify -1/2 into -1/2
278.924 * [taylor]: Taking taylor expansion of K in U
278.924 * [backup-simplify]: Simplify K into K
278.924 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
278.924 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
278.924 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
278.924 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
278.924 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
278.925 * [backup-simplify]: Simplify (- 0) into 0
278.925 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
278.925 * [taylor]: Taking taylor expansion of (pow U 6) in U
278.925 * [taylor]: Taking taylor expansion of U in U
278.925 * [backup-simplify]: Simplify 0 into 0
278.925 * [backup-simplify]: Simplify 1 into 1
278.925 * [backup-simplify]: Simplify (* J J) into (pow J 2)
278.925 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
278.925 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
278.925 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
278.925 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 3)
278.925 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 3) (pow (cos (/ -1/2 K)) 3)) into (pow (cos (/ -1/2 K)) 6)
278.925 * [backup-simplify]: Simplify (* 1 1) into 1
278.926 * [backup-simplify]: Simplify (* 1 1) into 1
278.926 * [backup-simplify]: Simplify (* 1 1) into 1
278.926 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 6) 1) into (pow (cos (/ -1/2 K)) 6)
278.926 * [backup-simplify]: Simplify (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)) into (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))
278.926 * [taylor]: Taking taylor expansion of 1 in U
278.926 * [backup-simplify]: Simplify 1 into 1
278.926 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
278.926 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in U
278.926 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in U
278.926 * [taylor]: Taking taylor expansion of 1/16 in U
278.926 * [backup-simplify]: Simplify 1/16 into 1/16
278.926 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in U
278.926 * [taylor]: Taking taylor expansion of (pow J 4) in U
278.926 * [taylor]: Taking taylor expansion of J in U
278.926 * [backup-simplify]: Simplify J into J
278.926 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in U
278.926 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in U
278.926 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
278.926 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
278.926 * [taylor]: Taking taylor expansion of -1/2 in U
278.926 * [backup-simplify]: Simplify -1/2 into -1/2
278.926 * [taylor]: Taking taylor expansion of K in U
278.926 * [backup-simplify]: Simplify K into K
278.926 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
278.926 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
278.926 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
278.926 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
278.926 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
278.927 * [backup-simplify]: Simplify (- 0) into 0
278.927 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
278.927 * [taylor]: Taking taylor expansion of (pow U 4) in U
278.927 * [taylor]: Taking taylor expansion of U in U
278.927 * [backup-simplify]: Simplify 0 into 0
278.927 * [backup-simplify]: Simplify 1 into 1
278.927 * [backup-simplify]: Simplify (* J J) into (pow J 2)
278.927 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
278.927 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
278.927 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
278.927 * [backup-simplify]: Simplify (* 1 1) into 1
278.928 * [backup-simplify]: Simplify (* 1 1) into 1
278.928 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) 1) into (pow (cos (/ -1/2 K)) 4)
278.928 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))
278.928 * [taylor]: Taking taylor expansion of 1 in U
278.928 * [backup-simplify]: Simplify 1 into 1
278.928 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
278.928 * [taylor]: Taking taylor expansion of 1/4 in U
278.928 * [backup-simplify]: Simplify 1/4 into 1/4
278.928 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
278.928 * [taylor]: Taking taylor expansion of (pow J 2) in U
278.928 * [taylor]: Taking taylor expansion of J in U
278.928 * [backup-simplify]: Simplify J into J
278.928 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
278.928 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
278.928 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
278.928 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
278.928 * [taylor]: Taking taylor expansion of -1/2 in U
278.928 * [backup-simplify]: Simplify -1/2 into -1/2
278.928 * [taylor]: Taking taylor expansion of K in U
278.928 * [backup-simplify]: Simplify K into K
278.928 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
278.928 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
278.928 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
278.928 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
278.928 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
278.929 * [backup-simplify]: Simplify (- 0) into 0
278.929 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
278.929 * [taylor]: Taking taylor expansion of (pow U 2) in U
278.929 * [taylor]: Taking taylor expansion of U in U
278.929 * [backup-simplify]: Simplify 0 into 0
278.929 * [backup-simplify]: Simplify 1 into 1
278.929 * [backup-simplify]: Simplify (* J J) into (pow J 2)
278.929 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
278.929 * [backup-simplify]: Simplify (* 1 1) into 1
278.929 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
278.929 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
278.929 * [backup-simplify]: Simplify (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))) into (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))
278.929 * [backup-simplify]: Simplify (+ (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))) 0) into (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))
278.930 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
278.930 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
278.930 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
278.930 * [backup-simplify]: Simplify (/ (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))) (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
278.930 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
278.930 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
278.930 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (pow J 2))) into 0
278.930 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (* 0 (pow J 3))) into 0
278.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
278.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
278.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
278.932 * [backup-simplify]: Simplify (+ 0) into 0
278.932 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
278.932 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
278.933 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
278.933 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
278.933 * [backup-simplify]: Simplify (- 0) into 0
278.933 * [backup-simplify]: Simplify (+ 0 0) into 0
278.934 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
278.934 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
278.934 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 3) 0) (* 0 (pow (cos (/ -1/2 K)) 3))) into 0
278.934 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 6) 0) (* 0 1)) into 0
278.934 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)) (/ 0 (pow (cos (/ -1/2 K)) 6))))) into 0
278.935 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))) into 0
278.935 * [backup-simplify]: Simplify (+ 0 0) into 0
278.935 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
278.935 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
278.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
278.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
278.936 * [backup-simplify]: Simplify (+ 0) into 0
278.936 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
278.937 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
278.937 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
278.937 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
278.938 * [backup-simplify]: Simplify (- 0) into 0
278.938 * [backup-simplify]: Simplify (+ 0 0) into 0
278.938 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
278.938 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
278.939 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (* 0 1)) into 0
278.939 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
278.939 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) into 0
278.939 * [backup-simplify]: Simplify (+ 0 0) into 0
278.940 * [backup-simplify]: Simplify (+ 0 0) into 0
278.940 * [backup-simplify]: Simplify (- (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (+ (* (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))))) into 0
278.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
278.940 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) in U
278.940 * [taylor]: Taking taylor expansion of 2 in U
278.940 * [backup-simplify]: Simplify 2 into 2
278.940 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
278.940 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
278.940 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
278.940 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
278.940 * [taylor]: Taking taylor expansion of -1/2 in U
278.940 * [backup-simplify]: Simplify -1/2 into -1/2
278.940 * [taylor]: Taking taylor expansion of K in U
278.940 * [backup-simplify]: Simplify K into K
278.940 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
278.940 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
278.941 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
278.941 * [taylor]: Taking taylor expansion of J in U
278.941 * [backup-simplify]: Simplify J into J
278.941 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
278.941 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
278.941 * [backup-simplify]: Simplify (- 0) into 0
278.941 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
278.941 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
278.941 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
278.941 * [taylor]: Taking taylor expansion of (/ (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
278.941 * [taylor]: Taking taylor expansion of (+ (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) 1) in U
278.941 * [taylor]: Taking taylor expansion of (* 1/64 (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6)))) in U
278.941 * [taylor]: Taking taylor expansion of 1/64 in U
278.941 * [backup-simplify]: Simplify 1/64 into 1/64
278.941 * [taylor]: Taking taylor expansion of (/ (pow J 6) (* (pow (cos (/ -1/2 K)) 6) (pow U 6))) in U
278.941 * [taylor]: Taking taylor expansion of (pow J 6) in U
278.941 * [taylor]: Taking taylor expansion of J in U
278.941 * [backup-simplify]: Simplify J into J
278.941 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 6) (pow U 6)) in U
278.941 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 6) in U
278.941 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
278.941 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
278.941 * [taylor]: Taking taylor expansion of -1/2 in U
278.941 * [backup-simplify]: Simplify -1/2 into -1/2
278.941 * [taylor]: Taking taylor expansion of K in U
278.941 * [backup-simplify]: Simplify K into K
278.941 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
278.941 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
278.941 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
278.941 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
278.942 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
278.942 * [backup-simplify]: Simplify (- 0) into 0
278.942 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
278.942 * [taylor]: Taking taylor expansion of (pow U 6) in U
278.942 * [taylor]: Taking taylor expansion of U in U
278.942 * [backup-simplify]: Simplify 0 into 0
278.942 * [backup-simplify]: Simplify 1 into 1
278.942 * [backup-simplify]: Simplify (* J J) into (pow J 2)
278.942 * [backup-simplify]: Simplify (* J (pow J 2)) into (pow J 3)
278.942 * [backup-simplify]: Simplify (* (pow J 3) (pow J 3)) into (pow J 6)
278.942 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
278.942 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 3)
278.942 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 3) (pow (cos (/ -1/2 K)) 3)) into (pow (cos (/ -1/2 K)) 6)
278.943 * [backup-simplify]: Simplify (* 1 1) into 1
278.943 * [backup-simplify]: Simplify (* 1 1) into 1
278.943 * [backup-simplify]: Simplify (* 1 1) into 1
278.943 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 6) 1) into (pow (cos (/ -1/2 K)) 6)
278.943 * [backup-simplify]: Simplify (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)) into (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))
278.943 * [taylor]: Taking taylor expansion of 1 in U
278.943 * [backup-simplify]: Simplify 1 into 1
278.943 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
278.943 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in U
278.943 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in U
278.943 * [taylor]: Taking taylor expansion of 1/16 in U
278.943 * [backup-simplify]: Simplify 1/16 into 1/16
278.943 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in U
278.943 * [taylor]: Taking taylor expansion of (pow J 4) in U
278.943 * [taylor]: Taking taylor expansion of J in U
278.943 * [backup-simplify]: Simplify J into J
278.943 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in U
278.943 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in U
278.943 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
278.943 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
278.943 * [taylor]: Taking taylor expansion of -1/2 in U
278.943 * [backup-simplify]: Simplify -1/2 into -1/2
278.944 * [taylor]: Taking taylor expansion of K in U
278.944 * [backup-simplify]: Simplify K into K
278.944 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
278.944 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
278.944 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
278.944 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
278.944 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
278.944 * [backup-simplify]: Simplify (- 0) into 0
278.944 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
278.944 * [taylor]: Taking taylor expansion of (pow U 4) in U
278.944 * [taylor]: Taking taylor expansion of U in U
278.944 * [backup-simplify]: Simplify 0 into 0
278.944 * [backup-simplify]: Simplify 1 into 1
278.944 * [backup-simplify]: Simplify (* J J) into (pow J 2)
278.944 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
278.944 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
278.944 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
278.945 * [backup-simplify]: Simplify (* 1 1) into 1
278.945 * [backup-simplify]: Simplify (* 1 1) into 1
278.945 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) 1) into (pow (cos (/ -1/2 K)) 4)
278.945 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))
278.945 * [taylor]: Taking taylor expansion of 1 in U
278.945 * [backup-simplify]: Simplify 1 into 1
278.945 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
278.945 * [taylor]: Taking taylor expansion of 1/4 in U
278.945 * [backup-simplify]: Simplify 1/4 into 1/4
278.945 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
278.945 * [taylor]: Taking taylor expansion of (pow J 2) in U
278.945 * [taylor]: Taking taylor expansion of J in U
278.945 * [backup-simplify]: Simplify J into J
278.945 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
278.945 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
278.945 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
278.945 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
278.945 * [taylor]: Taking taylor expansion of -1/2 in U
278.945 * [backup-simplify]: Simplify -1/2 into -1/2
278.945 * [taylor]: Taking taylor expansion of K in U
278.945 * [backup-simplify]: Simplify K into K
278.945 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
278.945 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
278.945 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
278.945 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
278.945 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
278.946 * [backup-simplify]: Simplify (- 0) into 0
278.946 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
278.946 * [taylor]: Taking taylor expansion of (pow U 2) in U
278.946 * [taylor]: Taking taylor expansion of U in U
278.946 * [backup-simplify]: Simplify 0 into 0
278.946 * [backup-simplify]: Simplify 1 into 1
278.946 * [backup-simplify]: Simplify (* J J) into (pow J 2)
278.946 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
278.946 * [backup-simplify]: Simplify (* 1 1) into 1
278.946 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
278.946 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
278.946 * [backup-simplify]: Simplify (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))) into (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))
278.947 * [backup-simplify]: Simplify (+ (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))) 0) into (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))
278.947 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
278.947 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
278.947 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
278.948 * [backup-simplify]: Simplify (/ (* 1/64 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))) (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
278.948 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
278.948 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
278.948 * [backup-simplify]: Simplify (+ (* J 0) (* 0 (pow J 2))) into 0
278.948 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (* 0 (pow J 3))) into 0
278.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
278.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
278.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
278.951 * [backup-simplify]: Simplify (+ 0) into 0
278.951 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
278.951 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
278.952 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
278.953 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
278.953 * [backup-simplify]: Simplify (- 0) into 0
278.953 * [backup-simplify]: Simplify (+ 0 0) into 0
278.953 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
278.954 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
278.954 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 3) 0) (* 0 (pow (cos (/ -1/2 K)) 3))) into 0
278.954 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 6) 0) (* 0 1)) into 0
278.955 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)) (/ 0 (pow (cos (/ -1/2 K)) 6))))) into 0
278.955 * [backup-simplify]: Simplify (+ (* 1/64 0) (* 0 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))) into 0
278.956 * [backup-simplify]: Simplify (+ 0 0) into 0
278.956 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
278.956 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
278.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
278.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
278.958 * [backup-simplify]: Simplify (+ 0) into 0
278.958 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
278.958 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
278.959 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
278.960 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
278.960 * [backup-simplify]: Simplify (- 0) into 0
278.960 * [backup-simplify]: Simplify (+ 0 0) into 0
278.960 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
278.961 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
278.961 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (* 0 1)) into 0
278.962 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
278.962 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) into 0
278.963 * [backup-simplify]: Simplify (+ 0 0) into 0
278.963 * [backup-simplify]: Simplify (+ 0 0) into 0
278.963 * [backup-simplify]: Simplify (- (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (+ (* (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))))) into 0
278.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
278.964 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2
278.964 * [backup-simplify]: Simplify (* 2 1/2) into 1
278.964 * [taylor]: Taking taylor expansion of 1 in K
278.964 * [backup-simplify]: Simplify 1 into 1
278.965 * [taylor]: Taking taylor expansion of 1 in J
278.965 * [backup-simplify]: Simplify 1 into 1
278.965 * [backup-simplify]: Simplify (+ 0) into 0
278.965 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
278.966 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
278.966 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
278.967 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
278.967 * [backup-simplify]: Simplify (- 0) into 0
278.967 * [backup-simplify]: Simplify (+ 0 0) into 0
278.968 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0
278.968 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
278.969 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0
278.969 * [taylor]: Taking taylor expansion of 0 in K
278.969 * [backup-simplify]: Simplify 0 into 0
278.969 * [taylor]: Taking taylor expansion of 0 in J
278.969 * [backup-simplify]: Simplify 0 into 0
278.969 * [taylor]: Taking taylor expansion of 0 in J
278.969 * [backup-simplify]: Simplify 0 into 0
278.969 * [backup-simplify]: Simplify 1 into 1
278.969 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
278.970 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
278.970 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (+ (* 0 0) (* 0 (pow J 3)))) into 0
278.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
278.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
278.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
278.974 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
278.975 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
278.975 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
278.976 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
278.976 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
278.977 * [backup-simplify]: Simplify (- 0) into 0
278.977 * [backup-simplify]: Simplify (+ 0 0) into 0
278.978 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
278.978 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
278.979 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 3) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 3)))) into 0
278.979 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 6) 0) (+ (* 0 0) (* 0 1))) into 0
278.979 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)) (/ 0 (pow (cos (/ -1/2 K)) 6))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 6))))) into 0
278.980 * [backup-simplify]: Simplify (+ (* 1/64 0) (+ (* 0 0) (* 0 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6))))) into 0
278.980 * [backup-simplify]: Simplify (+ 0 0) into 0
278.981 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
278.981 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
278.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
278.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
278.982 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
278.983 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
278.983 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
278.984 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
278.984 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
278.984 * [backup-simplify]: Simplify (- 0) into 0
278.984 * [backup-simplify]: Simplify (+ 0 0) into 0
278.985 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
278.985 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
278.985 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (+ (* 0 0) (* 0 1))) into 0
278.986 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
278.986 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))) into 0
278.987 * [backup-simplify]: Simplify (+ 0 0) into 0
278.987 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
278.987 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))
278.987 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))
278.988 * [backup-simplify]: Simplify (- (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (+ (* (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) (/ (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))) (* 0 (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))))) into 1
278.988 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
278.989 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
278.989 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
278.989 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
278.990 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
278.990 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
278.990 * [backup-simplify]: Simplify (- 0) into 0
278.991 * [backup-simplify]: Simplify (+ 0 0) into 0
278.991 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
278.991 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))
278.992 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))
278.992 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K
278.992 * [taylor]: Taking taylor expansion of 2 in K
278.992 * [backup-simplify]: Simplify 2 into 2
278.992 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K
278.992 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
278.992 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
278.992 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
278.992 * [taylor]: Taking taylor expansion of -1/2 in K
278.992 * [backup-simplify]: Simplify -1/2 into -1/2
278.992 * [taylor]: Taking taylor expansion of K in K
278.992 * [backup-simplify]: Simplify 0 into 0
278.992 * [backup-simplify]: Simplify 1 into 1
278.992 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
278.992 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
278.992 * [taylor]: Taking taylor expansion of (pow J 2) in K
278.992 * [taylor]: Taking taylor expansion of J in K
278.992 * [backup-simplify]: Simplify J into J
278.993 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
278.993 * [backup-simplify]: Simplify (* J J) into (pow J 2)
278.993 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))
278.993 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))
278.993 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J
278.993 * [taylor]: Taking taylor expansion of 2 in J
278.993 * [backup-simplify]: Simplify 2 into 2
278.993 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J
278.993 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
278.993 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
278.993 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
278.993 * [taylor]: Taking taylor expansion of -1/2 in J
278.993 * [backup-simplify]: Simplify -1/2 into -1/2
278.993 * [taylor]: Taking taylor expansion of K in J
278.993 * [backup-simplify]: Simplify K into K
278.993 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
278.993 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
278.993 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
278.993 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
278.993 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
278.993 * [backup-simplify]: Simplify (- 0) into 0
278.993 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
278.993 * [taylor]: Taking taylor expansion of (pow J 2) in J
278.993 * [taylor]: Taking taylor expansion of J in J
278.994 * [backup-simplify]: Simplify 0 into 0
278.994 * [backup-simplify]: Simplify 1 into 1
278.994 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
278.994 * [backup-simplify]: Simplify (* 1 1) into 1
278.994 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
278.994 * [backup-simplify]: Simplify (+ 0) into 0
278.995 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
278.995 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
278.995 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
278.995 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
278.996 * [backup-simplify]: Simplify (- 0) into 0
278.996 * [backup-simplify]: Simplify (+ 0 0) into 0
278.996 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
278.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
278.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0
278.998 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
278.998 * [backup-simplify]: Simplify 0 into 0
278.998 * [taylor]: Taking taylor expansion of 0 in J
278.998 * [backup-simplify]: Simplify 0 into 0
278.998 * [taylor]: Taking taylor expansion of 0 in J
278.998 * [backup-simplify]: Simplify 0 into 0
278.998 * [backup-simplify]: Simplify 0 into 0
278.998 * [backup-simplify]: Simplify 0 into 0
278.998 * [backup-simplify]: Simplify 0 into 0
278.998 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
278.999 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0
278.999 * [backup-simplify]: Simplify (+ (* (pow J 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 3))))) into 0
279.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
279.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
279.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
279.002 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
279.002 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
279.002 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
279.003 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
279.004 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
279.004 * [backup-simplify]: Simplify (- 0) into 0
279.004 * [backup-simplify]: Simplify (+ 0 0) into 0
279.005 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
279.005 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2))))) into 0
279.006 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 3))))) into 0
279.007 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 6) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
279.007 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 6)) (+ (* (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)) (/ 0 (pow (cos (/ -1/2 K)) 6))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 6))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 6))))) into 0
279.008 * [backup-simplify]: Simplify (+ (* 1/64 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 6) (pow (cos (/ -1/2 K)) 6)))))) into 0
279.008 * [backup-simplify]: Simplify (+ 0 0) into 0
279.009 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
279.009 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0
279.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
279.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
279.011 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
279.012 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
279.012 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
279.013 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
279.013 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
279.013 * [backup-simplify]: Simplify (- 0) into 0
279.014 * [backup-simplify]: Simplify (+ 0 0) into 0
279.014 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
279.015 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2))))) into 0
279.015 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
279.016 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
279.016 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))))) into 0
279.017 * [backup-simplify]: Simplify (+ 0 0) into 0
279.017 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
279.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
279.017 * [backup-simplify]: Simplify (+ 0) into 0
279.018 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
279.018 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
279.019 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
279.022 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
279.023 * [backup-simplify]: Simplify (- 0) into 0
279.023 * [backup-simplify]: Simplify (+ 0 0) into 0
279.023 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
279.023 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
279.024 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
279.024 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
279.024 * [backup-simplify]: Simplify (- 0) into 0
279.025 * [backup-simplify]: Simplify (+ 0 0) into 0
279.025 * [backup-simplify]: Simplify (- (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (+ (* (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))) (* 0 (/ (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))) (* 1 (/ 0 (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))))) into 0
279.025 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
279.026 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
279.026 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
279.027 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
279.027 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
279.028 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
279.028 * [backup-simplify]: Simplify (- 0) into 0
279.028 * [backup-simplify]: Simplify (+ 0 0) into 0
279.029 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
279.029 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0
279.030 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0
279.030 * [taylor]: Taking taylor expansion of 0 in K
279.030 * [backup-simplify]: Simplify 0 into 0
279.030 * [taylor]: Taking taylor expansion of 0 in J
279.030 * [backup-simplify]: Simplify 0 into 0
279.030 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
279.030 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
279.030 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
279.031 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0
279.031 * [taylor]: Taking taylor expansion of 0 in J
279.031 * [backup-simplify]: Simplify 0 into 0
279.031 * [taylor]: Taking taylor expansion of 0 in J
279.031 * [backup-simplify]: Simplify 0 into 0
279.031 * [taylor]: Taking taylor expansion of 0 in J
279.031 * [backup-simplify]: Simplify 0 into 0
279.032 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
279.032 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
279.032 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
279.033 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
279.034 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
279.034 * [backup-simplify]: Simplify (- 0) into 0
279.034 * [backup-simplify]: Simplify (+ 0 0) into 0
279.035 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
279.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
279.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
279.038 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
279.038 * [backup-simplify]: Simplify 0 into 0
279.038 * [backup-simplify]: Simplify 0 into 0
279.038 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U)
279.038 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1)
279.041 * [backup-simplify]: Simplify (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) into (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))
279.041 * [approximate]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in (U K J) around 0
279.041 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in J
279.041 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in J
279.041 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in J
279.041 * [taylor]: Taking taylor expansion of 1/16 in J
279.041 * [backup-simplify]: Simplify 1/16 into 1/16
279.041 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in J
279.041 * [taylor]: Taking taylor expansion of (pow U 4) in J
279.041 * [taylor]: Taking taylor expansion of U in J
279.041 * [backup-simplify]: Simplify U into U
279.041 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in J
279.041 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in J
279.041 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
279.041 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
279.041 * [taylor]: Taking taylor expansion of 1/2 in J
279.041 * [backup-simplify]: Simplify 1/2 into 1/2
279.041 * [taylor]: Taking taylor expansion of K in J
279.041 * [backup-simplify]: Simplify K into K
279.041 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
279.041 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
279.041 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
279.041 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
279.042 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
279.042 * [backup-simplify]: Simplify (- 0) into 0
279.042 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
279.042 * [taylor]: Taking taylor expansion of (pow J 4) in J
279.042 * [taylor]: Taking taylor expansion of J in J
279.042 * [backup-simplify]: Simplify 0 into 0
279.042 * [backup-simplify]: Simplify 1 into 1
279.042 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.042 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
279.043 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
279.043 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 4)
279.043 * [backup-simplify]: Simplify (* 1 1) into 1
279.044 * [backup-simplify]: Simplify (* 1 1) into 1
279.044 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 4) 1) into (pow (cos (* 1/2 K)) 4)
279.044 * [backup-simplify]: Simplify (/ (pow U 4) (pow (cos (* 1/2 K)) 4)) into (/ (pow U 4) (pow (cos (* 1/2 K)) 4))
279.044 * [taylor]: Taking taylor expansion of 1 in J
279.044 * [backup-simplify]: Simplify 1 into 1
279.044 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
279.044 * [taylor]: Taking taylor expansion of 1/4 in J
279.044 * [backup-simplify]: Simplify 1/4 into 1/4
279.044 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
279.044 * [taylor]: Taking taylor expansion of (pow U 2) in J
279.044 * [taylor]: Taking taylor expansion of U in J
279.044 * [backup-simplify]: Simplify U into U
279.044 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
279.044 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
279.044 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
279.044 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
279.044 * [taylor]: Taking taylor expansion of 1/2 in J
279.044 * [backup-simplify]: Simplify 1/2 into 1/2
279.044 * [taylor]: Taking taylor expansion of K in J
279.044 * [backup-simplify]: Simplify K into K
279.045 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
279.045 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
279.045 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
279.045 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
279.045 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
279.045 * [backup-simplify]: Simplify (- 0) into 0
279.045 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
279.045 * [taylor]: Taking taylor expansion of (pow J 2) in J
279.045 * [taylor]: Taking taylor expansion of J in J
279.045 * [backup-simplify]: Simplify 0 into 0
279.045 * [backup-simplify]: Simplify 1 into 1
279.045 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.046 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
279.046 * [backup-simplify]: Simplify (* 1 1) into 1
279.046 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
279.046 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
279.046 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in K
279.046 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in K
279.046 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in K
279.046 * [taylor]: Taking taylor expansion of 1/16 in K
279.046 * [backup-simplify]: Simplify 1/16 into 1/16
279.046 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in K
279.046 * [taylor]: Taking taylor expansion of (pow U 4) in K
279.046 * [taylor]: Taking taylor expansion of U in K
279.046 * [backup-simplify]: Simplify U into U
279.047 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in K
279.047 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in K
279.047 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
279.047 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
279.047 * [taylor]: Taking taylor expansion of 1/2 in K
279.047 * [backup-simplify]: Simplify 1/2 into 1/2
279.047 * [taylor]: Taking taylor expansion of K in K
279.047 * [backup-simplify]: Simplify 0 into 0
279.047 * [backup-simplify]: Simplify 1 into 1
279.047 * [backup-simplify]: Simplify (* 1/2 0) into 0
279.048 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
279.048 * [taylor]: Taking taylor expansion of (pow J 4) in K
279.048 * [taylor]: Taking taylor expansion of J in K
279.048 * [backup-simplify]: Simplify J into J
279.048 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.048 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
279.048 * [backup-simplify]: Simplify (* 1 1) into 1
279.049 * [backup-simplify]: Simplify (* 1 1) into 1
279.049 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.049 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.049 * [backup-simplify]: Simplify (* 1 (pow J 4)) into (pow J 4)
279.049 * [backup-simplify]: Simplify (/ (pow U 4) (pow J 4)) into (/ (pow U 4) (pow J 4))
279.049 * [taylor]: Taking taylor expansion of 1 in K
279.049 * [backup-simplify]: Simplify 1 into 1
279.049 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
279.049 * [taylor]: Taking taylor expansion of 1/4 in K
279.049 * [backup-simplify]: Simplify 1/4 into 1/4
279.049 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
279.049 * [taylor]: Taking taylor expansion of (pow U 2) in K
279.049 * [taylor]: Taking taylor expansion of U in K
279.049 * [backup-simplify]: Simplify U into U
279.050 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
279.050 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
279.050 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
279.050 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
279.050 * [taylor]: Taking taylor expansion of 1/2 in K
279.050 * [backup-simplify]: Simplify 1/2 into 1/2
279.050 * [taylor]: Taking taylor expansion of K in K
279.050 * [backup-simplify]: Simplify 0 into 0
279.050 * [backup-simplify]: Simplify 1 into 1
279.050 * [backup-simplify]: Simplify (* 1/2 0) into 0
279.051 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
279.051 * [taylor]: Taking taylor expansion of (pow J 2) in K
279.051 * [taylor]: Taking taylor expansion of J in K
279.051 * [backup-simplify]: Simplify J into J
279.051 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.051 * [backup-simplify]: Simplify (* 1 1) into 1
279.051 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.052 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
279.052 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
279.052 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in U
279.052 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in U
279.052 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in U
279.052 * [taylor]: Taking taylor expansion of 1/16 in U
279.052 * [backup-simplify]: Simplify 1/16 into 1/16
279.052 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in U
279.052 * [taylor]: Taking taylor expansion of (pow U 4) in U
279.052 * [taylor]: Taking taylor expansion of U in U
279.052 * [backup-simplify]: Simplify 0 into 0
279.052 * [backup-simplify]: Simplify 1 into 1
279.052 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in U
279.052 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in U
279.052 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
279.052 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
279.052 * [taylor]: Taking taylor expansion of 1/2 in U
279.052 * [backup-simplify]: Simplify 1/2 into 1/2
279.052 * [taylor]: Taking taylor expansion of K in U
279.052 * [backup-simplify]: Simplify K into K
279.052 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
279.052 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
279.052 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
279.052 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
279.052 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
279.053 * [backup-simplify]: Simplify (- 0) into 0
279.053 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
279.053 * [taylor]: Taking taylor expansion of (pow J 4) in U
279.053 * [taylor]: Taking taylor expansion of J in U
279.053 * [backup-simplify]: Simplify J into J
279.053 * [backup-simplify]: Simplify (* 1 1) into 1
279.054 * [backup-simplify]: Simplify (* 1 1) into 1
279.054 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
279.054 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 4)
279.054 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.054 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.054 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 4) (pow J 4)) into (* (pow (cos (* 1/2 K)) 4) (pow J 4))
279.055 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) into (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))
279.055 * [taylor]: Taking taylor expansion of 1 in U
279.055 * [backup-simplify]: Simplify 1 into 1
279.055 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
279.055 * [taylor]: Taking taylor expansion of 1/4 in U
279.055 * [backup-simplify]: Simplify 1/4 into 1/4
279.055 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
279.055 * [taylor]: Taking taylor expansion of (pow U 2) in U
279.055 * [taylor]: Taking taylor expansion of U in U
279.055 * [backup-simplify]: Simplify 0 into 0
279.055 * [backup-simplify]: Simplify 1 into 1
279.055 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
279.055 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
279.055 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
279.055 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
279.055 * [taylor]: Taking taylor expansion of 1/2 in U
279.055 * [backup-simplify]: Simplify 1/2 into 1/2
279.055 * [taylor]: Taking taylor expansion of K in U
279.055 * [backup-simplify]: Simplify K into K
279.055 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
279.055 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
279.055 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
279.055 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
279.055 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
279.056 * [backup-simplify]: Simplify (- 0) into 0
279.056 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
279.056 * [taylor]: Taking taylor expansion of (pow J 2) in U
279.056 * [taylor]: Taking taylor expansion of J in U
279.056 * [backup-simplify]: Simplify J into J
279.056 * [backup-simplify]: Simplify (* 1 1) into 1
279.056 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
279.056 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.057 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
279.057 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
279.057 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in U
279.057 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in U
279.057 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in U
279.057 * [taylor]: Taking taylor expansion of 1/16 in U
279.057 * [backup-simplify]: Simplify 1/16 into 1/16
279.057 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in U
279.057 * [taylor]: Taking taylor expansion of (pow U 4) in U
279.057 * [taylor]: Taking taylor expansion of U in U
279.057 * [backup-simplify]: Simplify 0 into 0
279.057 * [backup-simplify]: Simplify 1 into 1
279.057 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in U
279.057 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in U
279.057 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
279.057 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
279.057 * [taylor]: Taking taylor expansion of 1/2 in U
279.057 * [backup-simplify]: Simplify 1/2 into 1/2
279.057 * [taylor]: Taking taylor expansion of K in U
279.057 * [backup-simplify]: Simplify K into K
279.057 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
279.057 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
279.057 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
279.058 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
279.058 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
279.058 * [backup-simplify]: Simplify (- 0) into 0
279.058 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
279.058 * [taylor]: Taking taylor expansion of (pow J 4) in U
279.058 * [taylor]: Taking taylor expansion of J in U
279.058 * [backup-simplify]: Simplify J into J
279.059 * [backup-simplify]: Simplify (* 1 1) into 1
279.059 * [backup-simplify]: Simplify (* 1 1) into 1
279.059 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
279.059 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 4)
279.059 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.059 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.060 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 4) (pow J 4)) into (* (pow (cos (* 1/2 K)) 4) (pow J 4))
279.060 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) into (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))
279.060 * [taylor]: Taking taylor expansion of 1 in U
279.060 * [backup-simplify]: Simplify 1 into 1
279.060 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
279.060 * [taylor]: Taking taylor expansion of 1/4 in U
279.060 * [backup-simplify]: Simplify 1/4 into 1/4
279.060 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
279.060 * [taylor]: Taking taylor expansion of (pow U 2) in U
279.060 * [taylor]: Taking taylor expansion of U in U
279.060 * [backup-simplify]: Simplify 0 into 0
279.060 * [backup-simplify]: Simplify 1 into 1
279.060 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
279.060 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
279.060 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
279.060 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
279.060 * [taylor]: Taking taylor expansion of 1/2 in U
279.060 * [backup-simplify]: Simplify 1/2 into 1/2
279.060 * [taylor]: Taking taylor expansion of K in U
279.060 * [backup-simplify]: Simplify K into K
279.060 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
279.060 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
279.060 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
279.060 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
279.061 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
279.061 * [backup-simplify]: Simplify (- 0) into 0
279.061 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
279.061 * [taylor]: Taking taylor expansion of (pow J 2) in U
279.061 * [taylor]: Taking taylor expansion of J in U
279.061 * [backup-simplify]: Simplify J into J
279.062 * [backup-simplify]: Simplify (* 1 1) into 1
279.062 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
279.062 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.062 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
279.062 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
279.063 * [backup-simplify]: Simplify (+ 0 1) into 1
279.063 * [backup-simplify]: Simplify (+ 1 0) into 1
279.063 * [taylor]: Taking taylor expansion of 1 in K
279.063 * [backup-simplify]: Simplify 1 into 1
279.063 * [taylor]: Taking taylor expansion of 1 in J
279.063 * [backup-simplify]: Simplify 1 into 1
279.064 * [backup-simplify]: Simplify (+ 0 0) into 0
279.064 * [backup-simplify]: Simplify (+ 0 0) into 0
279.064 * [taylor]: Taking taylor expansion of 0 in K
279.064 * [backup-simplify]: Simplify 0 into 0
279.064 * [taylor]: Taking taylor expansion of 0 in J
279.064 * [backup-simplify]: Simplify 0 into 0
279.064 * [taylor]: Taking taylor expansion of 0 in J
279.064 * [backup-simplify]: Simplify 0 into 0
279.065 * [backup-simplify]: Simplify (+ 0 0) into 0
279.065 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
279.065 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))
279.065 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))
279.066 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in K
279.066 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
279.066 * [taylor]: Taking taylor expansion of 1/4 in K
279.066 * [backup-simplify]: Simplify 1/4 into 1/4
279.066 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
279.066 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
279.066 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
279.066 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
279.066 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
279.066 * [taylor]: Taking taylor expansion of 1/2 in K
279.066 * [backup-simplify]: Simplify 1/2 into 1/2
279.066 * [taylor]: Taking taylor expansion of K in K
279.066 * [backup-simplify]: Simplify 0 into 0
279.066 * [backup-simplify]: Simplify 1 into 1
279.066 * [backup-simplify]: Simplify (* 1/2 0) into 0
279.067 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
279.067 * [taylor]: Taking taylor expansion of (pow J 2) in K
279.067 * [taylor]: Taking taylor expansion of J in K
279.067 * [backup-simplify]: Simplify J into J
279.067 * [backup-simplify]: Simplify (* 1 1) into 1
279.067 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.068 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
279.068 * [backup-simplify]: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2))
279.068 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow J 2))) into (/ 1/4 (pow J 2))
279.068 * [backup-simplify]: Simplify (- (/ 1/4 (pow J 2))) into (- (* 1/4 (/ 1 (pow J 2))))
279.068 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (pow J 2)))) in J
279.068 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow J 2))) in J
279.068 * [taylor]: Taking taylor expansion of 1/4 in J
279.068 * [backup-simplify]: Simplify 1/4 into 1/4
279.068 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J
279.068 * [taylor]: Taking taylor expansion of (pow J 2) in J
279.068 * [taylor]: Taking taylor expansion of J in J
279.068 * [backup-simplify]: Simplify 0 into 0
279.068 * [backup-simplify]: Simplify 1 into 1
279.068 * [backup-simplify]: Simplify (* 1 1) into 1
279.069 * [backup-simplify]: Simplify (/ 1 1) into 1
279.069 * [taylor]: Taking taylor expansion of 0 in J
279.069 * [backup-simplify]: Simplify 0 into 0
279.069 * [taylor]: Taking taylor expansion of 0 in J
279.069 * [backup-simplify]: Simplify 0 into 0
279.069 * [backup-simplify]: Simplify (+ 0 0) into 0
279.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
279.070 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
279.071 * [backup-simplify]: Simplify (+ 0) into 0
279.071 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
279.071 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
279.072 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
279.073 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
279.073 * [backup-simplify]: Simplify (- 0) into 0
279.073 * [backup-simplify]: Simplify (+ 0 0) into 0
279.074 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
279.074 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
279.074 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
279.075 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
279.075 * [backup-simplify]: Simplify (- 0) into 0
279.076 * [backup-simplify]: Simplify (+ 0 0) into 0
279.076 * [taylor]: Taking taylor expansion of 0 in K
279.076 * [backup-simplify]: Simplify 0 into 0
279.076 * [taylor]: Taking taylor expansion of 0 in J
279.076 * [backup-simplify]: Simplify 0 into 0
279.076 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
279.076 * [backup-simplify]: Simplify (+ 0) into 0
279.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
279.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
279.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow J 2)) (/ 0 (pow J 2))))) into 0
279.078 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow J 2)))) into 0
279.078 * [backup-simplify]: Simplify (- 0) into 0
279.078 * [taylor]: Taking taylor expansion of 0 in J
279.079 * [backup-simplify]: Simplify 0 into 0
279.079 * [taylor]: Taking taylor expansion of 0 in J
279.079 * [backup-simplify]: Simplify 0 into 0
279.079 * [taylor]: Taking taylor expansion of 0 in J
279.079 * [backup-simplify]: Simplify 0 into 0
279.079 * [backup-simplify]: Simplify (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) into (/ 1/16 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))
279.079 * [backup-simplify]: Simplify (+ (/ 1/16 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) 0) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))))
279.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
279.081 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
279.081 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
279.082 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
279.083 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
279.084 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
279.084 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
279.085 * [backup-simplify]: Simplify (- 0) into 0
279.085 * [backup-simplify]: Simplify (+ 0 0) into 0
279.086 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
279.086 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
279.087 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
279.088 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
279.088 * [backup-simplify]: Simplify (- 0) into 0
279.088 * [backup-simplify]: Simplify (+ (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 0) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))))
279.089 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in K
279.089 * [taylor]: Taking taylor expansion of 1/16 in K
279.089 * [backup-simplify]: Simplify 1/16 into 1/16
279.089 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in K
279.089 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in K
279.089 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in K
279.089 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
279.089 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
279.089 * [taylor]: Taking taylor expansion of 1/2 in K
279.089 * [backup-simplify]: Simplify 1/2 into 1/2
279.089 * [taylor]: Taking taylor expansion of K in K
279.089 * [backup-simplify]: Simplify 0 into 0
279.089 * [backup-simplify]: Simplify 1 into 1
279.090 * [backup-simplify]: Simplify (* 1/2 0) into 0
279.090 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
279.090 * [taylor]: Taking taylor expansion of (pow J 4) in K
279.090 * [taylor]: Taking taylor expansion of J in K
279.090 * [backup-simplify]: Simplify J into J
279.091 * [backup-simplify]: Simplify (* 1 1) into 1
279.091 * [backup-simplify]: Simplify (* 1 1) into 1
279.091 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.091 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.091 * [backup-simplify]: Simplify (* 1 (pow J 4)) into (pow J 4)
279.092 * [backup-simplify]: Simplify (/ 1 (pow J 4)) into (/ 1 (pow J 4))
279.092 * [backup-simplify]: Simplify (* 1/16 (/ 1 (pow J 4))) into (/ 1/16 (pow J 4))
279.092 * [taylor]: Taking taylor expansion of (/ 1/16 (pow J 4)) in J
279.092 * [taylor]: Taking taylor expansion of 1/16 in J
279.092 * [backup-simplify]: Simplify 1/16 into 1/16
279.092 * [taylor]: Taking taylor expansion of (pow J 4) in J
279.092 * [taylor]: Taking taylor expansion of J in J
279.092 * [backup-simplify]: Simplify 0 into 0
279.092 * [backup-simplify]: Simplify 1 into 1
279.092 * [backup-simplify]: Simplify (* 1 1) into 1
279.093 * [backup-simplify]: Simplify (* 1 1) into 1
279.093 * [backup-simplify]: Simplify (/ 1/16 1) into 1/16
279.093 * [backup-simplify]: Simplify 1/16 into 1/16
279.093 * [taylor]: Taking taylor expansion of 0 in J
279.093 * [backup-simplify]: Simplify 0 into 0
279.094 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
279.095 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
279.096 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4
279.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (pow J 2)))) into (- (* 1/4 (pow J 2)))
279.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow J 2)) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/4 (/ 1 (pow J 2)))
279.098 * [backup-simplify]: Simplify (+ (* 1/4 (* 1/4 (/ 1 (pow J 2)))) (+ (* 0 0) (* 0 (/ 1 (pow J 2))))) into (* 1/16 (/ 1 (pow J 2)))
279.098 * [backup-simplify]: Simplify (- (* 1/16 (/ 1 (pow J 2)))) into (- (* 1/16 (/ 1 (pow J 2))))
279.098 * [taylor]: Taking taylor expansion of (- (* 1/16 (/ 1 (pow J 2)))) in J
279.098 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (pow J 2))) in J
279.098 * [taylor]: Taking taylor expansion of 1/16 in J
279.098 * [backup-simplify]: Simplify 1/16 into 1/16
279.098 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J
279.098 * [taylor]: Taking taylor expansion of (pow J 2) in J
279.098 * [taylor]: Taking taylor expansion of J in J
279.098 * [backup-simplify]: Simplify 0 into 0
279.098 * [backup-simplify]: Simplify 1 into 1
279.099 * [backup-simplify]: Simplify (* 1 1) into 1
279.099 * [backup-simplify]: Simplify (/ 1 1) into 1
279.099 * [taylor]: Taking taylor expansion of 0 in J
279.099 * [backup-simplify]: Simplify 0 into 0
279.099 * [taylor]: Taking taylor expansion of 0 in J
279.099 * [backup-simplify]: Simplify 0 into 0
279.100 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
279.100 * [backup-simplify]: Simplify (- 1/4) into -1/4
279.100 * [backup-simplify]: Simplify -1/4 into -1/4
279.100 * [backup-simplify]: Simplify 1 into 1
279.101 * [backup-simplify]: Simplify (+ 1 (+ (* -1/4 (pow (* (/ 1 J) (* 1 U)) 2)) (* 1/16 (pow (* (/ 1 J) (* 1 U)) 4)))) into (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2))))
279.103 * [backup-simplify]: Simplify (+ (* (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))))) (- (* 1 1) (* (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1))) into (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))
279.103 * [approximate]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in (U K J) around 0
279.103 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in J
279.103 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in J
279.103 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in J
279.103 * [taylor]: Taking taylor expansion of 1/16 in J
279.103 * [backup-simplify]: Simplify 1/16 into 1/16
279.103 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in J
279.103 * [taylor]: Taking taylor expansion of (pow J 4) in J
279.103 * [taylor]: Taking taylor expansion of J in J
279.103 * [backup-simplify]: Simplify 0 into 0
279.103 * [backup-simplify]: Simplify 1 into 1
279.103 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in J
279.103 * [taylor]: Taking taylor expansion of (pow U 4) in J
279.103 * [taylor]: Taking taylor expansion of U in J
279.103 * [backup-simplify]: Simplify U into U
279.103 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in J
279.103 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
279.103 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
279.103 * [taylor]: Taking taylor expansion of 1/2 in J
279.103 * [backup-simplify]: Simplify 1/2 into 1/2
279.103 * [taylor]: Taking taylor expansion of K in J
279.103 * [backup-simplify]: Simplify K into K
279.104 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
279.104 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.104 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
279.104 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
279.104 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
279.104 * [backup-simplify]: Simplify (- 0) into 0
279.104 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
279.105 * [backup-simplify]: Simplify (* 1 1) into 1
279.105 * [backup-simplify]: Simplify (* 1 1) into 1
279.105 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.105 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
279.105 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.105 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
279.106 * [backup-simplify]: Simplify (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) into (* (pow U 4) (pow (cos (/ 1/2 K)) 4))
279.106 * [backup-simplify]: Simplify (/ 1 (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) into (/ 1 (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))
279.106 * [taylor]: Taking taylor expansion of 1 in J
279.106 * [backup-simplify]: Simplify 1 into 1
279.106 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
279.106 * [taylor]: Taking taylor expansion of 1/4 in J
279.106 * [backup-simplify]: Simplify 1/4 into 1/4
279.106 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
279.106 * [taylor]: Taking taylor expansion of (pow J 2) in J
279.106 * [taylor]: Taking taylor expansion of J in J
279.106 * [backup-simplify]: Simplify 0 into 0
279.106 * [backup-simplify]: Simplify 1 into 1
279.106 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
279.106 * [taylor]: Taking taylor expansion of (pow U 2) in J
279.106 * [taylor]: Taking taylor expansion of U in J
279.106 * [backup-simplify]: Simplify U into U
279.106 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
279.106 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
279.106 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
279.106 * [taylor]: Taking taylor expansion of 1/2 in J
279.106 * [backup-simplify]: Simplify 1/2 into 1/2
279.106 * [taylor]: Taking taylor expansion of K in J
279.106 * [backup-simplify]: Simplify K into K
279.106 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
279.106 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.107 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
279.107 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
279.107 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
279.107 * [backup-simplify]: Simplify (- 0) into 0
279.107 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
279.108 * [backup-simplify]: Simplify (* 1 1) into 1
279.108 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.108 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.108 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
279.108 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
279.108 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in K
279.108 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in K
279.108 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in K
279.108 * [taylor]: Taking taylor expansion of 1/16 in K
279.108 * [backup-simplify]: Simplify 1/16 into 1/16
279.108 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in K
279.108 * [taylor]: Taking taylor expansion of (pow J 4) in K
279.108 * [taylor]: Taking taylor expansion of J in K
279.108 * [backup-simplify]: Simplify J into J
279.108 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in K
279.108 * [taylor]: Taking taylor expansion of (pow U 4) in K
279.108 * [taylor]: Taking taylor expansion of U in K
279.108 * [backup-simplify]: Simplify U into U
279.108 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in K
279.108 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
279.108 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
279.108 * [taylor]: Taking taylor expansion of 1/2 in K
279.109 * [backup-simplify]: Simplify 1/2 into 1/2
279.109 * [taylor]: Taking taylor expansion of K in K
279.109 * [backup-simplify]: Simplify 0 into 0
279.109 * [backup-simplify]: Simplify 1 into 1
279.109 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
279.109 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.109 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.109 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.109 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.109 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
279.110 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.110 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
279.110 * [backup-simplify]: Simplify (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) into (* (pow U 4) (pow (cos (/ 1/2 K)) 4))
279.110 * [backup-simplify]: Simplify (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) into (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))
279.110 * [taylor]: Taking taylor expansion of 1 in K
279.110 * [backup-simplify]: Simplify 1 into 1
279.110 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
279.110 * [taylor]: Taking taylor expansion of 1/4 in K
279.110 * [backup-simplify]: Simplify 1/4 into 1/4
279.110 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
279.110 * [taylor]: Taking taylor expansion of (pow J 2) in K
279.110 * [taylor]: Taking taylor expansion of J in K
279.110 * [backup-simplify]: Simplify J into J
279.110 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
279.110 * [taylor]: Taking taylor expansion of (pow U 2) in K
279.110 * [taylor]: Taking taylor expansion of U in K
279.110 * [backup-simplify]: Simplify U into U
279.111 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
279.111 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
279.111 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
279.111 * [taylor]: Taking taylor expansion of 1/2 in K
279.111 * [backup-simplify]: Simplify 1/2 into 1/2
279.111 * [taylor]: Taking taylor expansion of K in K
279.111 * [backup-simplify]: Simplify 0 into 0
279.111 * [backup-simplify]: Simplify 1 into 1
279.111 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
279.111 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.111 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.111 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.111 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.112 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
279.112 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
279.112 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in U
279.112 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in U
279.112 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in U
279.112 * [taylor]: Taking taylor expansion of 1/16 in U
279.112 * [backup-simplify]: Simplify 1/16 into 1/16
279.112 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in U
279.112 * [taylor]: Taking taylor expansion of (pow J 4) in U
279.112 * [taylor]: Taking taylor expansion of J in U
279.112 * [backup-simplify]: Simplify J into J
279.112 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in U
279.112 * [taylor]: Taking taylor expansion of (pow U 4) in U
279.112 * [taylor]: Taking taylor expansion of U in U
279.112 * [backup-simplify]: Simplify 0 into 0
279.112 * [backup-simplify]: Simplify 1 into 1
279.112 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in U
279.112 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
279.112 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
279.112 * [taylor]: Taking taylor expansion of 1/2 in U
279.112 * [backup-simplify]: Simplify 1/2 into 1/2
279.112 * [taylor]: Taking taylor expansion of K in U
279.112 * [backup-simplify]: Simplify K into K
279.112 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
279.112 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.113 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
279.113 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
279.113 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
279.113 * [backup-simplify]: Simplify (- 0) into 0
279.113 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
279.113 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.113 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.114 * [backup-simplify]: Simplify (* 1 1) into 1
279.114 * [backup-simplify]: Simplify (* 1 1) into 1
279.114 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.114 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
279.115 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 4)) into (pow (cos (/ 1/2 K)) 4)
279.115 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))
279.115 * [taylor]: Taking taylor expansion of 1 in U
279.115 * [backup-simplify]: Simplify 1 into 1
279.115 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
279.115 * [taylor]: Taking taylor expansion of 1/4 in U
279.115 * [backup-simplify]: Simplify 1/4 into 1/4
279.115 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
279.115 * [taylor]: Taking taylor expansion of (pow J 2) in U
279.115 * [taylor]: Taking taylor expansion of J in U
279.115 * [backup-simplify]: Simplify J into J
279.115 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
279.115 * [taylor]: Taking taylor expansion of (pow U 2) in U
279.115 * [taylor]: Taking taylor expansion of U in U
279.115 * [backup-simplify]: Simplify 0 into 0
279.115 * [backup-simplify]: Simplify 1 into 1
279.115 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
279.115 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
279.115 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
279.115 * [taylor]: Taking taylor expansion of 1/2 in U
279.115 * [backup-simplify]: Simplify 1/2 into 1/2
279.115 * [taylor]: Taking taylor expansion of K in U
279.115 * [backup-simplify]: Simplify K into K
279.115 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
279.115 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.115 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
279.115 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
279.116 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
279.116 * [backup-simplify]: Simplify (- 0) into 0
279.116 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
279.116 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.116 * [backup-simplify]: Simplify (* 1 1) into 1
279.117 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.117 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
279.117 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
279.117 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in U
279.117 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in U
279.117 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in U
279.117 * [taylor]: Taking taylor expansion of 1/16 in U
279.117 * [backup-simplify]: Simplify 1/16 into 1/16
279.117 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in U
279.117 * [taylor]: Taking taylor expansion of (pow J 4) in U
279.117 * [taylor]: Taking taylor expansion of J in U
279.117 * [backup-simplify]: Simplify J into J
279.117 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in U
279.117 * [taylor]: Taking taylor expansion of (pow U 4) in U
279.117 * [taylor]: Taking taylor expansion of U in U
279.117 * [backup-simplify]: Simplify 0 into 0
279.117 * [backup-simplify]: Simplify 1 into 1
279.117 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in U
279.117 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
279.117 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
279.117 * [taylor]: Taking taylor expansion of 1/2 in U
279.117 * [backup-simplify]: Simplify 1/2 into 1/2
279.117 * [taylor]: Taking taylor expansion of K in U
279.117 * [backup-simplify]: Simplify K into K
279.118 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
279.118 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.118 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
279.118 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
279.118 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
279.118 * [backup-simplify]: Simplify (- 0) into 0
279.118 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
279.119 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.119 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.119 * [backup-simplify]: Simplify (* 1 1) into 1
279.119 * [backup-simplify]: Simplify (* 1 1) into 1
279.120 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.120 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
279.120 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 4)) into (pow (cos (/ 1/2 K)) 4)
279.120 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))
279.120 * [taylor]: Taking taylor expansion of 1 in U
279.120 * [backup-simplify]: Simplify 1 into 1
279.120 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
279.120 * [taylor]: Taking taylor expansion of 1/4 in U
279.120 * [backup-simplify]: Simplify 1/4 into 1/4
279.120 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
279.120 * [taylor]: Taking taylor expansion of (pow J 2) in U
279.120 * [taylor]: Taking taylor expansion of J in U
279.120 * [backup-simplify]: Simplify J into J
279.120 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
279.120 * [taylor]: Taking taylor expansion of (pow U 2) in U
279.120 * [taylor]: Taking taylor expansion of U in U
279.120 * [backup-simplify]: Simplify 0 into 0
279.120 * [backup-simplify]: Simplify 1 into 1
279.120 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
279.120 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
279.120 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
279.120 * [taylor]: Taking taylor expansion of 1/2 in U
279.120 * [backup-simplify]: Simplify 1/2 into 1/2
279.120 * [taylor]: Taking taylor expansion of K in U
279.121 * [backup-simplify]: Simplify K into K
279.121 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
279.121 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.121 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
279.121 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
279.121 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
279.121 * [backup-simplify]: Simplify (- 0) into 0
279.121 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
279.121 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.122 * [backup-simplify]: Simplify (* 1 1) into 1
279.122 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.122 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
279.122 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
279.122 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
279.123 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
279.123 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
279.123 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) in K
279.123 * [taylor]: Taking taylor expansion of 1/16 in K
279.123 * [backup-simplify]: Simplify 1/16 into 1/16
279.123 * [taylor]: Taking taylor expansion of (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) in K
279.123 * [taylor]: Taking taylor expansion of (pow J 4) in K
279.123 * [taylor]: Taking taylor expansion of J in K
279.123 * [backup-simplify]: Simplify J into J
279.123 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in K
279.123 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
279.123 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
279.123 * [taylor]: Taking taylor expansion of 1/2 in K
279.123 * [backup-simplify]: Simplify 1/2 into 1/2
279.123 * [taylor]: Taking taylor expansion of K in K
279.123 * [backup-simplify]: Simplify 0 into 0
279.123 * [backup-simplify]: Simplify 1 into 1
279.124 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
279.124 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.124 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.124 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.124 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.124 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
279.124 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))
279.125 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
279.125 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) in J
279.125 * [taylor]: Taking taylor expansion of 1/16 in J
279.125 * [backup-simplify]: Simplify 1/16 into 1/16
279.125 * [taylor]: Taking taylor expansion of (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) in J
279.125 * [taylor]: Taking taylor expansion of (pow J 4) in J
279.125 * [taylor]: Taking taylor expansion of J in J
279.125 * [backup-simplify]: Simplify 0 into 0
279.125 * [backup-simplify]: Simplify 1 into 1
279.125 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in J
279.125 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
279.125 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
279.125 * [taylor]: Taking taylor expansion of 1/2 in J
279.125 * [backup-simplify]: Simplify 1/2 into 1/2
279.125 * [taylor]: Taking taylor expansion of K in J
279.125 * [backup-simplify]: Simplify K into K
279.125 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
279.125 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.125 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
279.125 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
279.125 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
279.126 * [backup-simplify]: Simplify (- 0) into 0
279.126 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
279.126 * [backup-simplify]: Simplify (* 1 1) into 1
279.127 * [backup-simplify]: Simplify (* 1 1) into 1
279.127 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.127 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
279.127 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 4)) into (/ 1 (pow (cos (/ 1/2 K)) 4))
279.127 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
279.127 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
279.127 * [backup-simplify]: Simplify (+ 0) into 0
279.128 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
279.128 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
279.128 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
279.129 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
279.129 * [backup-simplify]: Simplify (- 0) into 0
279.129 * [backup-simplify]: Simplify (+ 0 0) into 0
279.129 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
279.129 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
279.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
279.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
279.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 4))) into 0
279.131 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
279.131 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) into 0
279.132 * [backup-simplify]: Simplify (+ 0 0) into 0
279.132 * [backup-simplify]: Simplify (+ 0 0) into 0
279.132 * [taylor]: Taking taylor expansion of 0 in K
279.132 * [backup-simplify]: Simplify 0 into 0
279.132 * [taylor]: Taking taylor expansion of 0 in J
279.132 * [backup-simplify]: Simplify 0 into 0
279.132 * [backup-simplify]: Simplify 0 into 0
279.132 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
279.132 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
279.132 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
279.132 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
279.132 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
279.133 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) into 0
279.133 * [taylor]: Taking taylor expansion of 0 in J
279.133 * [backup-simplify]: Simplify 0 into 0
279.133 * [backup-simplify]: Simplify 0 into 0
279.133 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
279.134 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
279.134 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
279.135 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
279.135 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
279.135 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
279.136 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
279.136 * [backup-simplify]: Simplify (- 0) into 0
279.136 * [backup-simplify]: Simplify (+ 0 0) into 0
279.136 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
279.137 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
279.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
279.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
279.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 4)))) into 0
279.139 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
279.140 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))) into 0
279.140 * [backup-simplify]: Simplify (+ 0 0) into 0
279.140 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
279.140 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))
279.140 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))
279.140 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K
279.140 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K
279.140 * [taylor]: Taking taylor expansion of 1/4 in K
279.140 * [backup-simplify]: Simplify 1/4 into 1/4
279.140 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K
279.140 * [taylor]: Taking taylor expansion of (pow J 2) in K
279.140 * [taylor]: Taking taylor expansion of J in K
279.140 * [backup-simplify]: Simplify J into J
279.140 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
279.140 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
279.140 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
279.140 * [taylor]: Taking taylor expansion of 1/2 in K
279.141 * [backup-simplify]: Simplify 1/2 into 1/2
279.141 * [taylor]: Taking taylor expansion of K in K
279.141 * [backup-simplify]: Simplify 0 into 0
279.141 * [backup-simplify]: Simplify 1 into 1
279.141 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
279.141 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.141 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.141 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.141 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
279.141 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
279.141 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))
279.141 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J
279.141 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J
279.141 * [taylor]: Taking taylor expansion of 1/4 in J
279.141 * [backup-simplify]: Simplify 1/4 into 1/4
279.141 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J
279.141 * [taylor]: Taking taylor expansion of (pow J 2) in J
279.141 * [taylor]: Taking taylor expansion of J in J
279.142 * [backup-simplify]: Simplify 0 into 0
279.142 * [backup-simplify]: Simplify 1 into 1
279.142 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
279.142 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
279.142 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
279.142 * [taylor]: Taking taylor expansion of 1/2 in J
279.142 * [backup-simplify]: Simplify 1/2 into 1/2
279.142 * [taylor]: Taking taylor expansion of K in J
279.142 * [backup-simplify]: Simplify K into K
279.142 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
279.142 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.142 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
279.142 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
279.142 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
279.142 * [backup-simplify]: Simplify (- 0) into 0
279.142 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
279.142 * [backup-simplify]: Simplify (* 1 1) into 1
279.142 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.143 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2))
279.143 * [taylor]: Taking taylor expansion of 0 in J
279.143 * [backup-simplify]: Simplify 0 into 0
279.143 * [backup-simplify]: Simplify 0 into 0
279.143 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
279.143 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
279.144 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
279.144 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
279.144 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
279.145 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))) into 0
279.145 * [taylor]: Taking taylor expansion of 0 in J
279.145 * [backup-simplify]: Simplify 0 into 0
279.145 * [backup-simplify]: Simplify 0 into 0
279.145 * [backup-simplify]: Simplify 0 into 0
279.145 * [backup-simplify]: Simplify 0 into 0
279.145 * [backup-simplify]: Simplify 0 into 0
279.146 * [backup-simplify]: Simplify (+ (* (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))))) (- (* 1 1) (* (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1))) into (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
279.146 * [approximate]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in (U K J) around 0
279.146 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
279.146 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in J
279.146 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in J
279.146 * [taylor]: Taking taylor expansion of 1/16 in J
279.146 * [backup-simplify]: Simplify 1/16 into 1/16
279.146 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in J
279.146 * [taylor]: Taking taylor expansion of (pow J 4) in J
279.146 * [taylor]: Taking taylor expansion of J in J
279.146 * [backup-simplify]: Simplify 0 into 0
279.146 * [backup-simplify]: Simplify 1 into 1
279.146 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in J
279.146 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in J
279.146 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
279.146 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
279.146 * [taylor]: Taking taylor expansion of -1/2 in J
279.146 * [backup-simplify]: Simplify -1/2 into -1/2
279.146 * [taylor]: Taking taylor expansion of K in J
279.147 * [backup-simplify]: Simplify K into K
279.147 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
279.147 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.147 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
279.147 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
279.147 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
279.147 * [backup-simplify]: Simplify (- 0) into 0
279.147 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
279.147 * [taylor]: Taking taylor expansion of (pow U 4) in J
279.147 * [taylor]: Taking taylor expansion of U in J
279.147 * [backup-simplify]: Simplify U into U
279.147 * [backup-simplify]: Simplify (* 1 1) into 1
279.148 * [backup-simplify]: Simplify (* 1 1) into 1
279.148 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.148 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
279.148 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.148 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
279.148 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) into (* (pow (cos (/ -1/2 K)) 4) (pow U 4))
279.148 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) into (/ 1 (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))
279.148 * [taylor]: Taking taylor expansion of 1 in J
279.148 * [backup-simplify]: Simplify 1 into 1
279.148 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
279.148 * [taylor]: Taking taylor expansion of 1/4 in J
279.148 * [backup-simplify]: Simplify 1/4 into 1/4
279.148 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
279.148 * [taylor]: Taking taylor expansion of (pow J 2) in J
279.148 * [taylor]: Taking taylor expansion of J in J
279.148 * [backup-simplify]: Simplify 0 into 0
279.148 * [backup-simplify]: Simplify 1 into 1
279.148 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
279.148 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
279.148 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
279.148 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
279.148 * [taylor]: Taking taylor expansion of -1/2 in J
279.148 * [backup-simplify]: Simplify -1/2 into -1/2
279.148 * [taylor]: Taking taylor expansion of K in J
279.148 * [backup-simplify]: Simplify K into K
279.148 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
279.148 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.148 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
279.148 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
279.149 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
279.149 * [backup-simplify]: Simplify (- 0) into 0
279.149 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
279.149 * [taylor]: Taking taylor expansion of (pow U 2) in J
279.149 * [taylor]: Taking taylor expansion of U in J
279.149 * [backup-simplify]: Simplify U into U
279.149 * [backup-simplify]: Simplify (* 1 1) into 1
279.149 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.149 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.149 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
279.149 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
279.150 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
279.150 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in K
279.150 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in K
279.150 * [taylor]: Taking taylor expansion of 1/16 in K
279.150 * [backup-simplify]: Simplify 1/16 into 1/16
279.150 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in K
279.150 * [taylor]: Taking taylor expansion of (pow J 4) in K
279.150 * [taylor]: Taking taylor expansion of J in K
279.150 * [backup-simplify]: Simplify J into J
279.150 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in K
279.150 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in K
279.150 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
279.150 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
279.150 * [taylor]: Taking taylor expansion of -1/2 in K
279.150 * [backup-simplify]: Simplify -1/2 into -1/2
279.150 * [taylor]: Taking taylor expansion of K in K
279.150 * [backup-simplify]: Simplify 0 into 0
279.150 * [backup-simplify]: Simplify 1 into 1
279.150 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
279.150 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.150 * [taylor]: Taking taylor expansion of (pow U 4) in K
279.150 * [taylor]: Taking taylor expansion of U in K
279.150 * [backup-simplify]: Simplify U into U
279.150 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.150 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.150 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.150 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
279.150 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.151 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
279.151 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) into (* (pow (cos (/ -1/2 K)) 4) (pow U 4))
279.151 * [backup-simplify]: Simplify (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) into (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))
279.151 * [taylor]: Taking taylor expansion of 1 in K
279.151 * [backup-simplify]: Simplify 1 into 1
279.151 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
279.151 * [taylor]: Taking taylor expansion of 1/4 in K
279.151 * [backup-simplify]: Simplify 1/4 into 1/4
279.151 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
279.151 * [taylor]: Taking taylor expansion of (pow J 2) in K
279.151 * [taylor]: Taking taylor expansion of J in K
279.151 * [backup-simplify]: Simplify J into J
279.151 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
279.151 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
279.151 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
279.151 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
279.151 * [taylor]: Taking taylor expansion of -1/2 in K
279.151 * [backup-simplify]: Simplify -1/2 into -1/2
279.151 * [taylor]: Taking taylor expansion of K in K
279.151 * [backup-simplify]: Simplify 0 into 0
279.151 * [backup-simplify]: Simplify 1 into 1
279.151 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
279.151 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.151 * [taylor]: Taking taylor expansion of (pow U 2) in K
279.151 * [taylor]: Taking taylor expansion of U in K
279.151 * [backup-simplify]: Simplify U into U
279.151 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.151 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.152 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.152 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
279.152 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
279.152 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
279.152 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in U
279.152 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in U
279.152 * [taylor]: Taking taylor expansion of 1/16 in U
279.152 * [backup-simplify]: Simplify 1/16 into 1/16
279.152 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in U
279.152 * [taylor]: Taking taylor expansion of (pow J 4) in U
279.152 * [taylor]: Taking taylor expansion of J in U
279.152 * [backup-simplify]: Simplify J into J
279.152 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in U
279.152 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in U
279.152 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
279.152 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
279.152 * [taylor]: Taking taylor expansion of -1/2 in U
279.152 * [backup-simplify]: Simplify -1/2 into -1/2
279.152 * [taylor]: Taking taylor expansion of K in U
279.152 * [backup-simplify]: Simplify K into K
279.152 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
279.152 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.152 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
279.152 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
279.152 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
279.152 * [backup-simplify]: Simplify (- 0) into 0
279.153 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
279.153 * [taylor]: Taking taylor expansion of (pow U 4) in U
279.153 * [taylor]: Taking taylor expansion of U in U
279.153 * [backup-simplify]: Simplify 0 into 0
279.153 * [backup-simplify]: Simplify 1 into 1
279.153 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.153 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.153 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.153 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
279.157 * [backup-simplify]: Simplify (* 1 1) into 1
279.157 * [backup-simplify]: Simplify (* 1 1) into 1
279.158 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) 1) into (pow (cos (/ -1/2 K)) 4)
279.158 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))
279.158 * [taylor]: Taking taylor expansion of 1 in U
279.158 * [backup-simplify]: Simplify 1 into 1
279.158 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
279.158 * [taylor]: Taking taylor expansion of 1/4 in U
279.158 * [backup-simplify]: Simplify 1/4 into 1/4
279.158 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
279.158 * [taylor]: Taking taylor expansion of (pow J 2) in U
279.158 * [taylor]: Taking taylor expansion of J in U
279.158 * [backup-simplify]: Simplify J into J
279.158 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
279.158 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
279.158 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
279.158 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
279.158 * [taylor]: Taking taylor expansion of -1/2 in U
279.158 * [backup-simplify]: Simplify -1/2 into -1/2
279.158 * [taylor]: Taking taylor expansion of K in U
279.158 * [backup-simplify]: Simplify K into K
279.158 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
279.158 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.158 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
279.158 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
279.158 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
279.158 * [backup-simplify]: Simplify (- 0) into 0
279.159 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
279.159 * [taylor]: Taking taylor expansion of (pow U 2) in U
279.159 * [taylor]: Taking taylor expansion of U in U
279.159 * [backup-simplify]: Simplify 0 into 0
279.159 * [backup-simplify]: Simplify 1 into 1
279.159 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.159 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.159 * [backup-simplify]: Simplify (* 1 1) into 1
279.159 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
279.159 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
279.159 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
279.159 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in U
279.159 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in U
279.159 * [taylor]: Taking taylor expansion of 1/16 in U
279.159 * [backup-simplify]: Simplify 1/16 into 1/16
279.159 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in U
279.159 * [taylor]: Taking taylor expansion of (pow J 4) in U
279.159 * [taylor]: Taking taylor expansion of J in U
279.160 * [backup-simplify]: Simplify J into J
279.160 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in U
279.160 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in U
279.160 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
279.160 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
279.160 * [taylor]: Taking taylor expansion of -1/2 in U
279.160 * [backup-simplify]: Simplify -1/2 into -1/2
279.160 * [taylor]: Taking taylor expansion of K in U
279.160 * [backup-simplify]: Simplify K into K
279.160 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
279.160 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.160 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
279.160 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
279.160 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
279.160 * [backup-simplify]: Simplify (- 0) into 0
279.160 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
279.160 * [taylor]: Taking taylor expansion of (pow U 4) in U
279.160 * [taylor]: Taking taylor expansion of U in U
279.160 * [backup-simplify]: Simplify 0 into 0
279.160 * [backup-simplify]: Simplify 1 into 1
279.160 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.160 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.160 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.161 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
279.161 * [backup-simplify]: Simplify (* 1 1) into 1
279.161 * [backup-simplify]: Simplify (* 1 1) into 1
279.161 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) 1) into (pow (cos (/ -1/2 K)) 4)
279.161 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))
279.161 * [taylor]: Taking taylor expansion of 1 in U
279.161 * [backup-simplify]: Simplify 1 into 1
279.161 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
279.161 * [taylor]: Taking taylor expansion of 1/4 in U
279.161 * [backup-simplify]: Simplify 1/4 into 1/4
279.161 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
279.161 * [taylor]: Taking taylor expansion of (pow J 2) in U
279.161 * [taylor]: Taking taylor expansion of J in U
279.161 * [backup-simplify]: Simplify J into J
279.161 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
279.161 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
279.161 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
279.161 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
279.161 * [taylor]: Taking taylor expansion of -1/2 in U
279.161 * [backup-simplify]: Simplify -1/2 into -1/2
279.161 * [taylor]: Taking taylor expansion of K in U
279.161 * [backup-simplify]: Simplify K into K
279.161 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
279.162 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.162 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
279.162 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
279.162 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
279.162 * [backup-simplify]: Simplify (- 0) into 0
279.162 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
279.162 * [taylor]: Taking taylor expansion of (pow U 2) in U
279.162 * [taylor]: Taking taylor expansion of U in U
279.162 * [backup-simplify]: Simplify 0 into 0
279.162 * [backup-simplify]: Simplify 1 into 1
279.162 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.162 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.162 * [backup-simplify]: Simplify (* 1 1) into 1
279.162 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
279.163 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
279.163 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
279.163 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
279.163 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
279.163 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) in K
279.163 * [taylor]: Taking taylor expansion of 1/16 in K
279.163 * [backup-simplify]: Simplify 1/16 into 1/16
279.163 * [taylor]: Taking taylor expansion of (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) in K
279.163 * [taylor]: Taking taylor expansion of (pow J 4) in K
279.163 * [taylor]: Taking taylor expansion of J in K
279.163 * [backup-simplify]: Simplify J into J
279.163 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in K
279.163 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
279.163 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
279.163 * [taylor]: Taking taylor expansion of -1/2 in K
279.163 * [backup-simplify]: Simplify -1/2 into -1/2
279.163 * [taylor]: Taking taylor expansion of K in K
279.163 * [backup-simplify]: Simplify 0 into 0
279.163 * [backup-simplify]: Simplify 1 into 1
279.164 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
279.164 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.164 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.164 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.164 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.164 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
279.164 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))
279.164 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
279.164 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) in J
279.164 * [taylor]: Taking taylor expansion of 1/16 in J
279.164 * [backup-simplify]: Simplify 1/16 into 1/16
279.164 * [taylor]: Taking taylor expansion of (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) in J
279.164 * [taylor]: Taking taylor expansion of (pow J 4) in J
279.164 * [taylor]: Taking taylor expansion of J in J
279.164 * [backup-simplify]: Simplify 0 into 0
279.164 * [backup-simplify]: Simplify 1 into 1
279.164 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in J
279.164 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
279.164 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
279.164 * [taylor]: Taking taylor expansion of -1/2 in J
279.164 * [backup-simplify]: Simplify -1/2 into -1/2
279.164 * [taylor]: Taking taylor expansion of K in J
279.164 * [backup-simplify]: Simplify K into K
279.164 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
279.164 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.165 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
279.165 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
279.165 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
279.165 * [backup-simplify]: Simplify (- 0) into 0
279.165 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
279.165 * [backup-simplify]: Simplify (* 1 1) into 1
279.165 * [backup-simplify]: Simplify (* 1 1) into 1
279.165 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.166 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
279.166 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 4)) into (/ 1 (pow (cos (/ -1/2 K)) 4))
279.166 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
279.166 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
279.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
279.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
279.167 * [backup-simplify]: Simplify (+ 0) into 0
279.167 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
279.167 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
279.168 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
279.168 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
279.168 * [backup-simplify]: Simplify (- 0) into 0
279.168 * [backup-simplify]: Simplify (+ 0 0) into 0
279.169 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
279.169 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
279.169 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (* 0 1)) into 0
279.169 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
279.170 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) into 0
279.170 * [backup-simplify]: Simplify (+ 0 0) into 0
279.170 * [backup-simplify]: Simplify (+ 0 0) into 0
279.170 * [taylor]: Taking taylor expansion of 0 in K
279.170 * [backup-simplify]: Simplify 0 into 0
279.170 * [taylor]: Taking taylor expansion of 0 in J
279.170 * [backup-simplify]: Simplify 0 into 0
279.170 * [backup-simplify]: Simplify 0 into 0
279.170 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
279.170 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
279.170 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
279.171 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
279.171 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
279.171 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) into 0
279.171 * [taylor]: Taking taylor expansion of 0 in J
279.171 * [backup-simplify]: Simplify 0 into 0
279.171 * [backup-simplify]: Simplify 0 into 0
279.172 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
279.172 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
279.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
279.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
279.173 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
279.174 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
279.174 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
279.174 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
279.175 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
279.175 * [backup-simplify]: Simplify (- 0) into 0
279.175 * [backup-simplify]: Simplify (+ 0 0) into 0
279.176 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
279.176 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
279.176 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (+ (* 0 0) (* 0 1))) into 0
279.177 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
279.177 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))) into 0
279.178 * [backup-simplify]: Simplify (+ 0 0) into 0
279.178 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
279.178 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))
279.178 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))
279.178 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K
279.178 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K
279.178 * [taylor]: Taking taylor expansion of 1/4 in K
279.178 * [backup-simplify]: Simplify 1/4 into 1/4
279.178 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K
279.178 * [taylor]: Taking taylor expansion of (pow J 2) in K
279.178 * [taylor]: Taking taylor expansion of J in K
279.178 * [backup-simplify]: Simplify J into J
279.178 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
279.178 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
279.178 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
279.178 * [taylor]: Taking taylor expansion of -1/2 in K
279.178 * [backup-simplify]: Simplify -1/2 into -1/2
279.178 * [taylor]: Taking taylor expansion of K in K
279.178 * [backup-simplify]: Simplify 0 into 0
279.178 * [backup-simplify]: Simplify 1 into 1
279.179 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
279.179 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.179 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.179 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.179 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
279.179 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
279.179 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))
279.179 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J
279.179 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J
279.179 * [taylor]: Taking taylor expansion of 1/4 in J
279.179 * [backup-simplify]: Simplify 1/4 into 1/4
279.179 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J
279.179 * [taylor]: Taking taylor expansion of (pow J 2) in J
279.179 * [taylor]: Taking taylor expansion of J in J
279.179 * [backup-simplify]: Simplify 0 into 0
279.179 * [backup-simplify]: Simplify 1 into 1
279.179 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
279.179 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
279.179 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
279.179 * [taylor]: Taking taylor expansion of -1/2 in J
279.179 * [backup-simplify]: Simplify -1/2 into -1/2
279.179 * [taylor]: Taking taylor expansion of K in J
279.179 * [backup-simplify]: Simplify K into K
279.179 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
279.179 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.179 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
279.180 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
279.180 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
279.180 * [backup-simplify]: Simplify (- 0) into 0
279.180 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
279.180 * [backup-simplify]: Simplify (* 1 1) into 1
279.180 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.180 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2))
279.180 * [taylor]: Taking taylor expansion of 0 in J
279.180 * [backup-simplify]: Simplify 0 into 0
279.180 * [backup-simplify]: Simplify 0 into 0
279.181 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
279.181 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
279.181 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
279.182 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
279.182 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
279.183 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))) into 0
279.183 * [taylor]: Taking taylor expansion of 0 in J
279.183 * [backup-simplify]: Simplify 0 into 0
279.183 * [backup-simplify]: Simplify 0 into 0
279.183 * [backup-simplify]: Simplify 0 into 0
279.183 * [backup-simplify]: Simplify 0 into 0
279.183 * [backup-simplify]: Simplify 0 into 0
279.183 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1)
279.184 * [backup-simplify]: Simplify (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) into (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))
279.184 * [approximate]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in (U K J) around 0
279.184 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in J
279.184 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in J
279.184 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in J
279.184 * [taylor]: Taking taylor expansion of 1/16 in J
279.184 * [backup-simplify]: Simplify 1/16 into 1/16
279.184 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in J
279.184 * [taylor]: Taking taylor expansion of (pow U 4) in J
279.184 * [taylor]: Taking taylor expansion of U in J
279.184 * [backup-simplify]: Simplify U into U
279.184 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in J
279.184 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in J
279.184 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
279.184 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
279.184 * [taylor]: Taking taylor expansion of 1/2 in J
279.184 * [backup-simplify]: Simplify 1/2 into 1/2
279.184 * [taylor]: Taking taylor expansion of K in J
279.184 * [backup-simplify]: Simplify K into K
279.184 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
279.184 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
279.184 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
279.184 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
279.184 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
279.184 * [backup-simplify]: Simplify (- 0) into 0
279.184 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
279.185 * [taylor]: Taking taylor expansion of (pow J 4) in J
279.185 * [taylor]: Taking taylor expansion of J in J
279.185 * [backup-simplify]: Simplify 0 into 0
279.185 * [backup-simplify]: Simplify 1 into 1
279.185 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.185 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
279.185 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
279.185 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 4)
279.185 * [backup-simplify]: Simplify (* 1 1) into 1
279.185 * [backup-simplify]: Simplify (* 1 1) into 1
279.185 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 4) 1) into (pow (cos (* 1/2 K)) 4)
279.185 * [backup-simplify]: Simplify (/ (pow U 4) (pow (cos (* 1/2 K)) 4)) into (/ (pow U 4) (pow (cos (* 1/2 K)) 4))
279.185 * [taylor]: Taking taylor expansion of 1 in J
279.186 * [backup-simplify]: Simplify 1 into 1
279.186 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
279.186 * [taylor]: Taking taylor expansion of 1/4 in J
279.186 * [backup-simplify]: Simplify 1/4 into 1/4
279.186 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
279.186 * [taylor]: Taking taylor expansion of (pow U 2) in J
279.186 * [taylor]: Taking taylor expansion of U in J
279.186 * [backup-simplify]: Simplify U into U
279.186 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
279.186 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
279.186 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
279.186 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
279.186 * [taylor]: Taking taylor expansion of 1/2 in J
279.186 * [backup-simplify]: Simplify 1/2 into 1/2
279.186 * [taylor]: Taking taylor expansion of K in J
279.186 * [backup-simplify]: Simplify K into K
279.186 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
279.186 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
279.186 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
279.186 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
279.186 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
279.186 * [backup-simplify]: Simplify (- 0) into 0
279.186 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
279.186 * [taylor]: Taking taylor expansion of (pow J 2) in J
279.186 * [taylor]: Taking taylor expansion of J in J
279.186 * [backup-simplify]: Simplify 0 into 0
279.186 * [backup-simplify]: Simplify 1 into 1
279.186 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.186 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
279.187 * [backup-simplify]: Simplify (* 1 1) into 1
279.187 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
279.187 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
279.187 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in K
279.187 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in K
279.187 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in K
279.187 * [taylor]: Taking taylor expansion of 1/16 in K
279.187 * [backup-simplify]: Simplify 1/16 into 1/16
279.187 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in K
279.187 * [taylor]: Taking taylor expansion of (pow U 4) in K
279.187 * [taylor]: Taking taylor expansion of U in K
279.187 * [backup-simplify]: Simplify U into U
279.187 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in K
279.187 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in K
279.187 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
279.187 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
279.187 * [taylor]: Taking taylor expansion of 1/2 in K
279.187 * [backup-simplify]: Simplify 1/2 into 1/2
279.187 * [taylor]: Taking taylor expansion of K in K
279.187 * [backup-simplify]: Simplify 0 into 0
279.187 * [backup-simplify]: Simplify 1 into 1
279.188 * [backup-simplify]: Simplify (* 1/2 0) into 0
279.189 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
279.189 * [taylor]: Taking taylor expansion of (pow J 4) in K
279.189 * [taylor]: Taking taylor expansion of J in K
279.189 * [backup-simplify]: Simplify J into J
279.189 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.189 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
279.190 * [backup-simplify]: Simplify (* 1 1) into 1
279.190 * [backup-simplify]: Simplify (* 1 1) into 1
279.190 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.190 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.190 * [backup-simplify]: Simplify (* 1 (pow J 4)) into (pow J 4)
279.191 * [backup-simplify]: Simplify (/ (pow U 4) (pow J 4)) into (/ (pow U 4) (pow J 4))
279.191 * [taylor]: Taking taylor expansion of 1 in K
279.191 * [backup-simplify]: Simplify 1 into 1
279.191 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
279.191 * [taylor]: Taking taylor expansion of 1/4 in K
279.191 * [backup-simplify]: Simplify 1/4 into 1/4
279.191 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
279.191 * [taylor]: Taking taylor expansion of (pow U 2) in K
279.191 * [taylor]: Taking taylor expansion of U in K
279.191 * [backup-simplify]: Simplify U into U
279.191 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
279.191 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
279.191 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
279.191 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
279.191 * [taylor]: Taking taylor expansion of 1/2 in K
279.191 * [backup-simplify]: Simplify 1/2 into 1/2
279.191 * [taylor]: Taking taylor expansion of K in K
279.191 * [backup-simplify]: Simplify 0 into 0
279.191 * [backup-simplify]: Simplify 1 into 1
279.191 * [backup-simplify]: Simplify (* 1/2 0) into 0
279.192 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
279.192 * [taylor]: Taking taylor expansion of (pow J 2) in K
279.192 * [taylor]: Taking taylor expansion of J in K
279.192 * [backup-simplify]: Simplify J into J
279.192 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.193 * [backup-simplify]: Simplify (* 1 1) into 1
279.193 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.193 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
279.193 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
279.193 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in U
279.193 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in U
279.193 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in U
279.193 * [taylor]: Taking taylor expansion of 1/16 in U
279.193 * [backup-simplify]: Simplify 1/16 into 1/16
279.193 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in U
279.193 * [taylor]: Taking taylor expansion of (pow U 4) in U
279.193 * [taylor]: Taking taylor expansion of U in U
279.193 * [backup-simplify]: Simplify 0 into 0
279.193 * [backup-simplify]: Simplify 1 into 1
279.193 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in U
279.193 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in U
279.193 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
279.193 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
279.193 * [taylor]: Taking taylor expansion of 1/2 in U
279.193 * [backup-simplify]: Simplify 1/2 into 1/2
279.193 * [taylor]: Taking taylor expansion of K in U
279.193 * [backup-simplify]: Simplify K into K
279.193 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
279.194 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
279.194 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
279.194 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
279.194 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
279.194 * [backup-simplify]: Simplify (- 0) into 0
279.194 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
279.194 * [taylor]: Taking taylor expansion of (pow J 4) in U
279.194 * [taylor]: Taking taylor expansion of J in U
279.194 * [backup-simplify]: Simplify J into J
279.195 * [backup-simplify]: Simplify (* 1 1) into 1
279.195 * [backup-simplify]: Simplify (* 1 1) into 1
279.195 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
279.195 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 4)
279.195 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.195 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.196 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 4) (pow J 4)) into (* (pow (cos (* 1/2 K)) 4) (pow J 4))
279.196 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) into (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))
279.196 * [taylor]: Taking taylor expansion of 1 in U
279.196 * [backup-simplify]: Simplify 1 into 1
279.196 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
279.196 * [taylor]: Taking taylor expansion of 1/4 in U
279.196 * [backup-simplify]: Simplify 1/4 into 1/4
279.196 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
279.196 * [taylor]: Taking taylor expansion of (pow U 2) in U
279.196 * [taylor]: Taking taylor expansion of U in U
279.196 * [backup-simplify]: Simplify 0 into 0
279.196 * [backup-simplify]: Simplify 1 into 1
279.196 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
279.196 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
279.196 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
279.196 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
279.196 * [taylor]: Taking taylor expansion of 1/2 in U
279.196 * [backup-simplify]: Simplify 1/2 into 1/2
279.196 * [taylor]: Taking taylor expansion of K in U
279.196 * [backup-simplify]: Simplify K into K
279.196 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
279.196 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
279.196 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
279.197 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
279.197 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
279.197 * [backup-simplify]: Simplify (- 0) into 0
279.197 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
279.197 * [taylor]: Taking taylor expansion of (pow J 2) in U
279.197 * [taylor]: Taking taylor expansion of J in U
279.197 * [backup-simplify]: Simplify J into J
279.198 * [backup-simplify]: Simplify (* 1 1) into 1
279.198 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
279.198 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.198 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
279.198 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
279.198 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in U
279.198 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in U
279.198 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in U
279.198 * [taylor]: Taking taylor expansion of 1/16 in U
279.198 * [backup-simplify]: Simplify 1/16 into 1/16
279.198 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in U
279.198 * [taylor]: Taking taylor expansion of (pow U 4) in U
279.198 * [taylor]: Taking taylor expansion of U in U
279.198 * [backup-simplify]: Simplify 0 into 0
279.198 * [backup-simplify]: Simplify 1 into 1
279.198 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in U
279.198 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in U
279.198 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
279.198 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
279.198 * [taylor]: Taking taylor expansion of 1/2 in U
279.199 * [backup-simplify]: Simplify 1/2 into 1/2
279.199 * [taylor]: Taking taylor expansion of K in U
279.199 * [backup-simplify]: Simplify K into K
279.199 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
279.199 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
279.199 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
279.199 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
279.199 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
279.199 * [backup-simplify]: Simplify (- 0) into 0
279.199 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
279.199 * [taylor]: Taking taylor expansion of (pow J 4) in U
279.199 * [taylor]: Taking taylor expansion of J in U
279.199 * [backup-simplify]: Simplify J into J
279.200 * [backup-simplify]: Simplify (* 1 1) into 1
279.200 * [backup-simplify]: Simplify (* 1 1) into 1
279.200 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
279.200 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 4)
279.201 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.201 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.201 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 4) (pow J 4)) into (* (pow (cos (* 1/2 K)) 4) (pow J 4))
279.201 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) into (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))
279.201 * [taylor]: Taking taylor expansion of 1 in U
279.201 * [backup-simplify]: Simplify 1 into 1
279.201 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
279.201 * [taylor]: Taking taylor expansion of 1/4 in U
279.201 * [backup-simplify]: Simplify 1/4 into 1/4
279.201 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
279.201 * [taylor]: Taking taylor expansion of (pow U 2) in U
279.201 * [taylor]: Taking taylor expansion of U in U
279.201 * [backup-simplify]: Simplify 0 into 0
279.201 * [backup-simplify]: Simplify 1 into 1
279.201 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
279.201 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
279.201 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
279.201 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
279.201 * [taylor]: Taking taylor expansion of 1/2 in U
279.201 * [backup-simplify]: Simplify 1/2 into 1/2
279.201 * [taylor]: Taking taylor expansion of K in U
279.201 * [backup-simplify]: Simplify K into K
279.201 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
279.202 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
279.202 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
279.202 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
279.202 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
279.202 * [backup-simplify]: Simplify (- 0) into 0
279.202 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
279.202 * [taylor]: Taking taylor expansion of (pow J 2) in U
279.202 * [taylor]: Taking taylor expansion of J in U
279.202 * [backup-simplify]: Simplify J into J
279.203 * [backup-simplify]: Simplify (* 1 1) into 1
279.203 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
279.203 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.203 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
279.203 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
279.204 * [backup-simplify]: Simplify (+ 0 1) into 1
279.204 * [backup-simplify]: Simplify (+ 1 0) into 1
279.204 * [taylor]: Taking taylor expansion of 1 in K
279.204 * [backup-simplify]: Simplify 1 into 1
279.204 * [taylor]: Taking taylor expansion of 1 in J
279.204 * [backup-simplify]: Simplify 1 into 1
279.205 * [backup-simplify]: Simplify (+ 0 0) into 0
279.205 * [backup-simplify]: Simplify (+ 0 0) into 0
279.205 * [taylor]: Taking taylor expansion of 0 in K
279.205 * [backup-simplify]: Simplify 0 into 0
279.205 * [taylor]: Taking taylor expansion of 0 in J
279.205 * [backup-simplify]: Simplify 0 into 0
279.205 * [taylor]: Taking taylor expansion of 0 in J
279.205 * [backup-simplify]: Simplify 0 into 0
279.206 * [backup-simplify]: Simplify (+ 0 0) into 0
279.206 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
279.206 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))
279.206 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))
279.206 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in K
279.206 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
279.206 * [taylor]: Taking taylor expansion of 1/4 in K
279.206 * [backup-simplify]: Simplify 1/4 into 1/4
279.206 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
279.206 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
279.206 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
279.207 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
279.207 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
279.207 * [taylor]: Taking taylor expansion of 1/2 in K
279.207 * [backup-simplify]: Simplify 1/2 into 1/2
279.207 * [taylor]: Taking taylor expansion of K in K
279.207 * [backup-simplify]: Simplify 0 into 0
279.207 * [backup-simplify]: Simplify 1 into 1
279.207 * [backup-simplify]: Simplify (* 1/2 0) into 0
279.208 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
279.208 * [taylor]: Taking taylor expansion of (pow J 2) in K
279.208 * [taylor]: Taking taylor expansion of J in K
279.208 * [backup-simplify]: Simplify J into J
279.208 * [backup-simplify]: Simplify (* 1 1) into 1
279.208 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.208 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
279.209 * [backup-simplify]: Simplify (/ 1 (pow J 2)) into (/ 1 (pow J 2))
279.209 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow J 2))) into (/ 1/4 (pow J 2))
279.209 * [backup-simplify]: Simplify (- (/ 1/4 (pow J 2))) into (- (* 1/4 (/ 1 (pow J 2))))
279.209 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (pow J 2)))) in J
279.209 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow J 2))) in J
279.209 * [taylor]: Taking taylor expansion of 1/4 in J
279.209 * [backup-simplify]: Simplify 1/4 into 1/4
279.209 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J
279.209 * [taylor]: Taking taylor expansion of (pow J 2) in J
279.209 * [taylor]: Taking taylor expansion of J in J
279.209 * [backup-simplify]: Simplify 0 into 0
279.209 * [backup-simplify]: Simplify 1 into 1
279.209 * [backup-simplify]: Simplify (* 1 1) into 1
279.210 * [backup-simplify]: Simplify (/ 1 1) into 1
279.210 * [taylor]: Taking taylor expansion of 0 in J
279.210 * [backup-simplify]: Simplify 0 into 0
279.210 * [taylor]: Taking taylor expansion of 0 in J
279.210 * [backup-simplify]: Simplify 0 into 0
279.210 * [backup-simplify]: Simplify (+ 0 0) into 0
279.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
279.211 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
279.211 * [backup-simplify]: Simplify (+ 0) into 0
279.212 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
279.212 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
279.213 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
279.213 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
279.214 * [backup-simplify]: Simplify (- 0) into 0
279.214 * [backup-simplify]: Simplify (+ 0 0) into 0
279.214 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
279.215 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
279.215 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
279.216 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
279.216 * [backup-simplify]: Simplify (- 0) into 0
279.216 * [backup-simplify]: Simplify (+ 0 0) into 0
279.216 * [taylor]: Taking taylor expansion of 0 in K
279.216 * [backup-simplify]: Simplify 0 into 0
279.217 * [taylor]: Taking taylor expansion of 0 in J
279.217 * [backup-simplify]: Simplify 0 into 0
279.217 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
279.217 * [backup-simplify]: Simplify (+ 0) into 0
279.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
279.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
279.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow J 2)) (/ 0 (pow J 2))))) into 0
279.219 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow J 2)))) into 0
279.219 * [backup-simplify]: Simplify (- 0) into 0
279.219 * [taylor]: Taking taylor expansion of 0 in J
279.219 * [backup-simplify]: Simplify 0 into 0
279.219 * [taylor]: Taking taylor expansion of 0 in J
279.219 * [backup-simplify]: Simplify 0 into 0
279.219 * [taylor]: Taking taylor expansion of 0 in J
279.219 * [backup-simplify]: Simplify 0 into 0
279.220 * [backup-simplify]: Simplify (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) into (/ 1/16 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))
279.220 * [backup-simplify]: Simplify (+ (/ 1/16 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) 0) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))))
279.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
279.221 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
279.222 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
279.223 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
279.224 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
279.224 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
279.225 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
279.225 * [backup-simplify]: Simplify (- 0) into 0
279.226 * [backup-simplify]: Simplify (+ 0 0) into 0
279.226 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
279.227 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
279.227 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
279.228 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
279.229 * [backup-simplify]: Simplify (- 0) into 0
279.229 * [backup-simplify]: Simplify (+ (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 0) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))))
279.229 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in K
279.229 * [taylor]: Taking taylor expansion of 1/16 in K
279.229 * [backup-simplify]: Simplify 1/16 into 1/16
279.229 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in K
279.229 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in K
279.229 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in K
279.229 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
279.229 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
279.229 * [taylor]: Taking taylor expansion of 1/2 in K
279.229 * [backup-simplify]: Simplify 1/2 into 1/2
279.229 * [taylor]: Taking taylor expansion of K in K
279.229 * [backup-simplify]: Simplify 0 into 0
279.229 * [backup-simplify]: Simplify 1 into 1
279.230 * [backup-simplify]: Simplify (* 1/2 0) into 0
279.231 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
279.231 * [taylor]: Taking taylor expansion of (pow J 4) in K
279.231 * [taylor]: Taking taylor expansion of J in K
279.231 * [backup-simplify]: Simplify J into J
279.231 * [backup-simplify]: Simplify (* 1 1) into 1
279.231 * [backup-simplify]: Simplify (* 1 1) into 1
279.232 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.232 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.232 * [backup-simplify]: Simplify (* 1 (pow J 4)) into (pow J 4)
279.232 * [backup-simplify]: Simplify (/ 1 (pow J 4)) into (/ 1 (pow J 4))
279.232 * [backup-simplify]: Simplify (* 1/16 (/ 1 (pow J 4))) into (/ 1/16 (pow J 4))
279.232 * [taylor]: Taking taylor expansion of (/ 1/16 (pow J 4)) in J
279.232 * [taylor]: Taking taylor expansion of 1/16 in J
279.232 * [backup-simplify]: Simplify 1/16 into 1/16
279.232 * [taylor]: Taking taylor expansion of (pow J 4) in J
279.232 * [taylor]: Taking taylor expansion of J in J
279.232 * [backup-simplify]: Simplify 0 into 0
279.232 * [backup-simplify]: Simplify 1 into 1
279.232 * [backup-simplify]: Simplify (* 1 1) into 1
279.233 * [backup-simplify]: Simplify (* 1 1) into 1
279.233 * [backup-simplify]: Simplify (/ 1/16 1) into 1/16
279.233 * [backup-simplify]: Simplify 1/16 into 1/16
279.233 * [taylor]: Taking taylor expansion of 0 in J
279.233 * [backup-simplify]: Simplify 0 into 0
279.234 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
279.235 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
279.236 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4
279.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (pow J 2)))) into (- (* 1/4 (pow J 2)))
279.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow J 2)) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/4 (/ 1 (pow J 2)))
279.238 * [backup-simplify]: Simplify (+ (* 1/4 (* 1/4 (/ 1 (pow J 2)))) (+ (* 0 0) (* 0 (/ 1 (pow J 2))))) into (* 1/16 (/ 1 (pow J 2)))
279.238 * [backup-simplify]: Simplify (- (* 1/16 (/ 1 (pow J 2)))) into (- (* 1/16 (/ 1 (pow J 2))))
279.238 * [taylor]: Taking taylor expansion of (- (* 1/16 (/ 1 (pow J 2)))) in J
279.238 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (pow J 2))) in J
279.238 * [taylor]: Taking taylor expansion of 1/16 in J
279.238 * [backup-simplify]: Simplify 1/16 into 1/16
279.238 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J
279.238 * [taylor]: Taking taylor expansion of (pow J 2) in J
279.238 * [taylor]: Taking taylor expansion of J in J
279.238 * [backup-simplify]: Simplify 0 into 0
279.238 * [backup-simplify]: Simplify 1 into 1
279.239 * [backup-simplify]: Simplify (* 1 1) into 1
279.239 * [backup-simplify]: Simplify (/ 1 1) into 1
279.239 * [taylor]: Taking taylor expansion of 0 in J
279.239 * [backup-simplify]: Simplify 0 into 0
279.239 * [taylor]: Taking taylor expansion of 0 in J
279.239 * [backup-simplify]: Simplify 0 into 0
279.240 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
279.240 * [backup-simplify]: Simplify (- 1/4) into -1/4
279.240 * [backup-simplify]: Simplify -1/4 into -1/4
279.240 * [backup-simplify]: Simplify 1 into 1
279.241 * [backup-simplify]: Simplify (+ 1 (+ (* -1/4 (pow (* (/ 1 J) (* 1 U)) 2)) (* 1/16 (pow (* (/ 1 J) (* 1 U)) 4)))) into (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2))))
279.243 * [backup-simplify]: Simplify (+ (* (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))))) (- (* 1 1) (* (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1))) into (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))
279.243 * [approximate]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in (U K J) around 0
279.243 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in J
279.243 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in J
279.243 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in J
279.243 * [taylor]: Taking taylor expansion of 1/16 in J
279.243 * [backup-simplify]: Simplify 1/16 into 1/16
279.243 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in J
279.243 * [taylor]: Taking taylor expansion of (pow J 4) in J
279.243 * [taylor]: Taking taylor expansion of J in J
279.243 * [backup-simplify]: Simplify 0 into 0
279.243 * [backup-simplify]: Simplify 1 into 1
279.243 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in J
279.243 * [taylor]: Taking taylor expansion of (pow U 4) in J
279.243 * [taylor]: Taking taylor expansion of U in J
279.243 * [backup-simplify]: Simplify U into U
279.243 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in J
279.243 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
279.243 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
279.243 * [taylor]: Taking taylor expansion of 1/2 in J
279.243 * [backup-simplify]: Simplify 1/2 into 1/2
279.243 * [taylor]: Taking taylor expansion of K in J
279.243 * [backup-simplify]: Simplify K into K
279.243 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
279.243 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.243 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
279.243 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
279.243 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
279.243 * [backup-simplify]: Simplify (- 0) into 0
279.244 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
279.244 * [backup-simplify]: Simplify (* 1 1) into 1
279.244 * [backup-simplify]: Simplify (* 1 1) into 1
279.244 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.244 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
279.244 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.244 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
279.244 * [backup-simplify]: Simplify (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) into (* (pow U 4) (pow (cos (/ 1/2 K)) 4))
279.244 * [backup-simplify]: Simplify (/ 1 (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) into (/ 1 (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))
279.245 * [taylor]: Taking taylor expansion of 1 in J
279.245 * [backup-simplify]: Simplify 1 into 1
279.245 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
279.245 * [taylor]: Taking taylor expansion of 1/4 in J
279.245 * [backup-simplify]: Simplify 1/4 into 1/4
279.245 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
279.245 * [taylor]: Taking taylor expansion of (pow J 2) in J
279.245 * [taylor]: Taking taylor expansion of J in J
279.245 * [backup-simplify]: Simplify 0 into 0
279.245 * [backup-simplify]: Simplify 1 into 1
279.245 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
279.245 * [taylor]: Taking taylor expansion of (pow U 2) in J
279.245 * [taylor]: Taking taylor expansion of U in J
279.245 * [backup-simplify]: Simplify U into U
279.245 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
279.245 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
279.245 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
279.245 * [taylor]: Taking taylor expansion of 1/2 in J
279.245 * [backup-simplify]: Simplify 1/2 into 1/2
279.245 * [taylor]: Taking taylor expansion of K in J
279.245 * [backup-simplify]: Simplify K into K
279.245 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
279.245 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.245 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
279.245 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
279.245 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
279.245 * [backup-simplify]: Simplify (- 0) into 0
279.245 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
279.246 * [backup-simplify]: Simplify (* 1 1) into 1
279.246 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.246 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.246 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
279.246 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
279.246 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in K
279.246 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in K
279.246 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in K
279.246 * [taylor]: Taking taylor expansion of 1/16 in K
279.246 * [backup-simplify]: Simplify 1/16 into 1/16
279.246 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in K
279.246 * [taylor]: Taking taylor expansion of (pow J 4) in K
279.246 * [taylor]: Taking taylor expansion of J in K
279.246 * [backup-simplify]: Simplify J into J
279.246 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in K
279.246 * [taylor]: Taking taylor expansion of (pow U 4) in K
279.246 * [taylor]: Taking taylor expansion of U in K
279.246 * [backup-simplify]: Simplify U into U
279.246 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in K
279.246 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
279.246 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
279.246 * [taylor]: Taking taylor expansion of 1/2 in K
279.246 * [backup-simplify]: Simplify 1/2 into 1/2
279.246 * [taylor]: Taking taylor expansion of K in K
279.246 * [backup-simplify]: Simplify 0 into 0
279.246 * [backup-simplify]: Simplify 1 into 1
279.246 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
279.247 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.247 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.247 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.247 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.247 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
279.247 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.247 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
279.247 * [backup-simplify]: Simplify (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) into (* (pow U 4) (pow (cos (/ 1/2 K)) 4))
279.247 * [backup-simplify]: Simplify (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) into (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))
279.247 * [taylor]: Taking taylor expansion of 1 in K
279.247 * [backup-simplify]: Simplify 1 into 1
279.247 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
279.247 * [taylor]: Taking taylor expansion of 1/4 in K
279.247 * [backup-simplify]: Simplify 1/4 into 1/4
279.247 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
279.247 * [taylor]: Taking taylor expansion of (pow J 2) in K
279.247 * [taylor]: Taking taylor expansion of J in K
279.247 * [backup-simplify]: Simplify J into J
279.247 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
279.247 * [taylor]: Taking taylor expansion of (pow U 2) in K
279.247 * [taylor]: Taking taylor expansion of U in K
279.247 * [backup-simplify]: Simplify U into U
279.247 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
279.247 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
279.247 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
279.247 * [taylor]: Taking taylor expansion of 1/2 in K
279.247 * [backup-simplify]: Simplify 1/2 into 1/2
279.247 * [taylor]: Taking taylor expansion of K in K
279.247 * [backup-simplify]: Simplify 0 into 0
279.247 * [backup-simplify]: Simplify 1 into 1
279.248 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
279.248 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.248 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.248 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.248 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.248 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
279.248 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
279.248 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in U
279.248 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in U
279.248 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in U
279.248 * [taylor]: Taking taylor expansion of 1/16 in U
279.248 * [backup-simplify]: Simplify 1/16 into 1/16
279.248 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in U
279.248 * [taylor]: Taking taylor expansion of (pow J 4) in U
279.248 * [taylor]: Taking taylor expansion of J in U
279.248 * [backup-simplify]: Simplify J into J
279.248 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in U
279.248 * [taylor]: Taking taylor expansion of (pow U 4) in U
279.248 * [taylor]: Taking taylor expansion of U in U
279.248 * [backup-simplify]: Simplify 0 into 0
279.248 * [backup-simplify]: Simplify 1 into 1
279.248 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in U
279.248 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
279.248 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
279.248 * [taylor]: Taking taylor expansion of 1/2 in U
279.248 * [backup-simplify]: Simplify 1/2 into 1/2
279.248 * [taylor]: Taking taylor expansion of K in U
279.248 * [backup-simplify]: Simplify K into K
279.248 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
279.249 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.249 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
279.249 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
279.249 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
279.249 * [backup-simplify]: Simplify (- 0) into 0
279.249 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
279.249 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.249 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.249 * [backup-simplify]: Simplify (* 1 1) into 1
279.250 * [backup-simplify]: Simplify (* 1 1) into 1
279.250 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.250 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
279.250 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 4)) into (pow (cos (/ 1/2 K)) 4)
279.250 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))
279.250 * [taylor]: Taking taylor expansion of 1 in U
279.250 * [backup-simplify]: Simplify 1 into 1
279.250 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
279.250 * [taylor]: Taking taylor expansion of 1/4 in U
279.250 * [backup-simplify]: Simplify 1/4 into 1/4
279.250 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
279.250 * [taylor]: Taking taylor expansion of (pow J 2) in U
279.250 * [taylor]: Taking taylor expansion of J in U
279.250 * [backup-simplify]: Simplify J into J
279.250 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
279.250 * [taylor]: Taking taylor expansion of (pow U 2) in U
279.250 * [taylor]: Taking taylor expansion of U in U
279.250 * [backup-simplify]: Simplify 0 into 0
279.250 * [backup-simplify]: Simplify 1 into 1
279.250 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
279.250 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
279.250 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
279.250 * [taylor]: Taking taylor expansion of 1/2 in U
279.250 * [backup-simplify]: Simplify 1/2 into 1/2
279.250 * [taylor]: Taking taylor expansion of K in U
279.251 * [backup-simplify]: Simplify K into K
279.251 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
279.251 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.251 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
279.251 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
279.251 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
279.251 * [backup-simplify]: Simplify (- 0) into 0
279.251 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
279.251 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.251 * [backup-simplify]: Simplify (* 1 1) into 1
279.251 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.252 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
279.252 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
279.252 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in U
279.252 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in U
279.252 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in U
279.252 * [taylor]: Taking taylor expansion of 1/16 in U
279.252 * [backup-simplify]: Simplify 1/16 into 1/16
279.252 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in U
279.252 * [taylor]: Taking taylor expansion of (pow J 4) in U
279.252 * [taylor]: Taking taylor expansion of J in U
279.252 * [backup-simplify]: Simplify J into J
279.252 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in U
279.252 * [taylor]: Taking taylor expansion of (pow U 4) in U
279.252 * [taylor]: Taking taylor expansion of U in U
279.252 * [backup-simplify]: Simplify 0 into 0
279.252 * [backup-simplify]: Simplify 1 into 1
279.252 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in U
279.252 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
279.252 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
279.252 * [taylor]: Taking taylor expansion of 1/2 in U
279.252 * [backup-simplify]: Simplify 1/2 into 1/2
279.252 * [taylor]: Taking taylor expansion of K in U
279.252 * [backup-simplify]: Simplify K into K
279.252 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
279.252 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.252 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
279.252 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
279.252 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
279.253 * [backup-simplify]: Simplify (- 0) into 0
279.253 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
279.253 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.253 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.253 * [backup-simplify]: Simplify (* 1 1) into 1
279.253 * [backup-simplify]: Simplify (* 1 1) into 1
279.253 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.254 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
279.254 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 4)) into (pow (cos (/ 1/2 K)) 4)
279.254 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))
279.254 * [taylor]: Taking taylor expansion of 1 in U
279.254 * [backup-simplify]: Simplify 1 into 1
279.254 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
279.254 * [taylor]: Taking taylor expansion of 1/4 in U
279.254 * [backup-simplify]: Simplify 1/4 into 1/4
279.254 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
279.254 * [taylor]: Taking taylor expansion of (pow J 2) in U
279.254 * [taylor]: Taking taylor expansion of J in U
279.254 * [backup-simplify]: Simplify J into J
279.254 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
279.254 * [taylor]: Taking taylor expansion of (pow U 2) in U
279.254 * [taylor]: Taking taylor expansion of U in U
279.254 * [backup-simplify]: Simplify 0 into 0
279.254 * [backup-simplify]: Simplify 1 into 1
279.254 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
279.254 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
279.254 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
279.254 * [taylor]: Taking taylor expansion of 1/2 in U
279.254 * [backup-simplify]: Simplify 1/2 into 1/2
279.254 * [taylor]: Taking taylor expansion of K in U
279.254 * [backup-simplify]: Simplify K into K
279.254 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
279.254 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.254 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
279.254 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
279.254 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
279.255 * [backup-simplify]: Simplify (- 0) into 0
279.255 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
279.255 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.255 * [backup-simplify]: Simplify (* 1 1) into 1
279.255 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.255 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
279.255 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
279.255 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
279.255 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
279.256 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
279.256 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) in K
279.256 * [taylor]: Taking taylor expansion of 1/16 in K
279.256 * [backup-simplify]: Simplify 1/16 into 1/16
279.256 * [taylor]: Taking taylor expansion of (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) in K
279.256 * [taylor]: Taking taylor expansion of (pow J 4) in K
279.256 * [taylor]: Taking taylor expansion of J in K
279.256 * [backup-simplify]: Simplify J into J
279.256 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in K
279.256 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
279.256 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
279.256 * [taylor]: Taking taylor expansion of 1/2 in K
279.256 * [backup-simplify]: Simplify 1/2 into 1/2
279.256 * [taylor]: Taking taylor expansion of K in K
279.256 * [backup-simplify]: Simplify 0 into 0
279.256 * [backup-simplify]: Simplify 1 into 1
279.256 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
279.256 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.256 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.256 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.256 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.257 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
279.257 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))
279.257 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
279.257 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) in J
279.257 * [taylor]: Taking taylor expansion of 1/16 in J
279.257 * [backup-simplify]: Simplify 1/16 into 1/16
279.257 * [taylor]: Taking taylor expansion of (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) in J
279.257 * [taylor]: Taking taylor expansion of (pow J 4) in J
279.257 * [taylor]: Taking taylor expansion of J in J
279.257 * [backup-simplify]: Simplify 0 into 0
279.257 * [backup-simplify]: Simplify 1 into 1
279.257 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in J
279.257 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
279.257 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
279.257 * [taylor]: Taking taylor expansion of 1/2 in J
279.257 * [backup-simplify]: Simplify 1/2 into 1/2
279.257 * [taylor]: Taking taylor expansion of K in J
279.257 * [backup-simplify]: Simplify K into K
279.257 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
279.257 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.257 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
279.257 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
279.257 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
279.258 * [backup-simplify]: Simplify (- 0) into 0
279.258 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
279.258 * [backup-simplify]: Simplify (* 1 1) into 1
279.258 * [backup-simplify]: Simplify (* 1 1) into 1
279.258 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.258 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
279.258 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 4)) into (/ 1 (pow (cos (/ 1/2 K)) 4))
279.258 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
279.258 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
279.259 * [backup-simplify]: Simplify (+ 0) into 0
279.259 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
279.259 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
279.260 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
279.260 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
279.260 * [backup-simplify]: Simplify (- 0) into 0
279.260 * [backup-simplify]: Simplify (+ 0 0) into 0
279.261 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
279.261 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
279.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
279.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
279.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 4))) into 0
279.262 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
279.262 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) into 0
279.263 * [backup-simplify]: Simplify (+ 0 0) into 0
279.263 * [backup-simplify]: Simplify (+ 0 0) into 0
279.263 * [taylor]: Taking taylor expansion of 0 in K
279.263 * [backup-simplify]: Simplify 0 into 0
279.263 * [taylor]: Taking taylor expansion of 0 in J
279.263 * [backup-simplify]: Simplify 0 into 0
279.263 * [backup-simplify]: Simplify 0 into 0
279.263 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
279.263 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
279.263 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
279.263 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
279.264 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
279.264 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) into 0
279.264 * [taylor]: Taking taylor expansion of 0 in J
279.264 * [backup-simplify]: Simplify 0 into 0
279.264 * [backup-simplify]: Simplify 0 into 0
279.264 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
279.265 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
279.265 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
279.266 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
279.266 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
279.266 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
279.267 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
279.267 * [backup-simplify]: Simplify (- 0) into 0
279.267 * [backup-simplify]: Simplify (+ 0 0) into 0
279.267 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
279.268 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
279.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
279.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
279.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 4)))) into 0
279.270 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
279.271 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))) into 0
279.271 * [backup-simplify]: Simplify (+ 0 0) into 0
279.271 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
279.271 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))
279.271 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))
279.271 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K
279.271 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K
279.271 * [taylor]: Taking taylor expansion of 1/4 in K
279.271 * [backup-simplify]: Simplify 1/4 into 1/4
279.271 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K
279.271 * [taylor]: Taking taylor expansion of (pow J 2) in K
279.271 * [taylor]: Taking taylor expansion of J in K
279.271 * [backup-simplify]: Simplify J into J
279.271 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
279.271 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
279.271 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
279.271 * [taylor]: Taking taylor expansion of 1/2 in K
279.271 * [backup-simplify]: Simplify 1/2 into 1/2
279.271 * [taylor]: Taking taylor expansion of K in K
279.271 * [backup-simplify]: Simplify 0 into 0
279.272 * [backup-simplify]: Simplify 1 into 1
279.272 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
279.272 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.272 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.272 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.272 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
279.272 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
279.272 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))
279.272 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J
279.272 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J
279.272 * [taylor]: Taking taylor expansion of 1/4 in J
279.272 * [backup-simplify]: Simplify 1/4 into 1/4
279.272 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J
279.272 * [taylor]: Taking taylor expansion of (pow J 2) in J
279.272 * [taylor]: Taking taylor expansion of J in J
279.272 * [backup-simplify]: Simplify 0 into 0
279.272 * [backup-simplify]: Simplify 1 into 1
279.272 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
279.272 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
279.272 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
279.273 * [taylor]: Taking taylor expansion of 1/2 in J
279.273 * [backup-simplify]: Simplify 1/2 into 1/2
279.273 * [taylor]: Taking taylor expansion of K in J
279.273 * [backup-simplify]: Simplify K into K
279.273 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
279.273 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.273 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
279.273 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
279.273 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
279.277 * [backup-simplify]: Simplify (- 0) into 0
279.277 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
279.278 * [backup-simplify]: Simplify (* 1 1) into 1
279.278 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.278 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2))
279.278 * [taylor]: Taking taylor expansion of 0 in J
279.278 * [backup-simplify]: Simplify 0 into 0
279.278 * [backup-simplify]: Simplify 0 into 0
279.279 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
279.279 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
279.280 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
279.280 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
279.281 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
279.282 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))) into 0
279.282 * [taylor]: Taking taylor expansion of 0 in J
279.282 * [backup-simplify]: Simplify 0 into 0
279.282 * [backup-simplify]: Simplify 0 into 0
279.282 * [backup-simplify]: Simplify 0 into 0
279.282 * [backup-simplify]: Simplify 0 into 0
279.282 * [backup-simplify]: Simplify 0 into 0
279.284 * [backup-simplify]: Simplify (+ (* (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))))) (- (* 1 1) (* (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1))) into (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
279.284 * [approximate]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in (U K J) around 0
279.284 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
279.284 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in J
279.284 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in J
279.284 * [taylor]: Taking taylor expansion of 1/16 in J
279.284 * [backup-simplify]: Simplify 1/16 into 1/16
279.284 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in J
279.284 * [taylor]: Taking taylor expansion of (pow J 4) in J
279.284 * [taylor]: Taking taylor expansion of J in J
279.284 * [backup-simplify]: Simplify 0 into 0
279.285 * [backup-simplify]: Simplify 1 into 1
279.285 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in J
279.285 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in J
279.285 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
279.285 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
279.285 * [taylor]: Taking taylor expansion of -1/2 in J
279.285 * [backup-simplify]: Simplify -1/2 into -1/2
279.285 * [taylor]: Taking taylor expansion of K in J
279.285 * [backup-simplify]: Simplify K into K
279.285 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
279.285 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.285 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
279.285 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
279.285 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
279.286 * [backup-simplify]: Simplify (- 0) into 0
279.286 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
279.286 * [taylor]: Taking taylor expansion of (pow U 4) in J
279.286 * [taylor]: Taking taylor expansion of U in J
279.286 * [backup-simplify]: Simplify U into U
279.286 * [backup-simplify]: Simplify (* 1 1) into 1
279.286 * [backup-simplify]: Simplify (* 1 1) into 1
279.287 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.287 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
279.287 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.287 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
279.287 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) into (* (pow (cos (/ -1/2 K)) 4) (pow U 4))
279.287 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) into (/ 1 (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))
279.287 * [taylor]: Taking taylor expansion of 1 in J
279.287 * [backup-simplify]: Simplify 1 into 1
279.287 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
279.287 * [taylor]: Taking taylor expansion of 1/4 in J
279.287 * [backup-simplify]: Simplify 1/4 into 1/4
279.287 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
279.287 * [taylor]: Taking taylor expansion of (pow J 2) in J
279.287 * [taylor]: Taking taylor expansion of J in J
279.288 * [backup-simplify]: Simplify 0 into 0
279.288 * [backup-simplify]: Simplify 1 into 1
279.288 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
279.288 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
279.288 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
279.288 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
279.288 * [taylor]: Taking taylor expansion of -1/2 in J
279.288 * [backup-simplify]: Simplify -1/2 into -1/2
279.288 * [taylor]: Taking taylor expansion of K in J
279.288 * [backup-simplify]: Simplify K into K
279.288 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
279.288 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.288 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
279.288 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
279.288 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
279.288 * [backup-simplify]: Simplify (- 0) into 0
279.289 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
279.289 * [taylor]: Taking taylor expansion of (pow U 2) in J
279.289 * [taylor]: Taking taylor expansion of U in J
279.289 * [backup-simplify]: Simplify U into U
279.289 * [backup-simplify]: Simplify (* 1 1) into 1
279.289 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.289 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.289 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
279.290 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
279.290 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
279.290 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in K
279.290 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in K
279.290 * [taylor]: Taking taylor expansion of 1/16 in K
279.290 * [backup-simplify]: Simplify 1/16 into 1/16
279.290 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in K
279.290 * [taylor]: Taking taylor expansion of (pow J 4) in K
279.290 * [taylor]: Taking taylor expansion of J in K
279.290 * [backup-simplify]: Simplify J into J
279.290 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in K
279.290 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in K
279.290 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
279.290 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
279.290 * [taylor]: Taking taylor expansion of -1/2 in K
279.290 * [backup-simplify]: Simplify -1/2 into -1/2
279.290 * [taylor]: Taking taylor expansion of K in K
279.290 * [backup-simplify]: Simplify 0 into 0
279.290 * [backup-simplify]: Simplify 1 into 1
279.290 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
279.291 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.291 * [taylor]: Taking taylor expansion of (pow U 4) in K
279.291 * [taylor]: Taking taylor expansion of U in K
279.291 * [backup-simplify]: Simplify U into U
279.291 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.291 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.291 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.291 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
279.291 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.291 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
279.291 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) into (* (pow (cos (/ -1/2 K)) 4) (pow U 4))
279.292 * [backup-simplify]: Simplify (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) into (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))
279.292 * [taylor]: Taking taylor expansion of 1 in K
279.292 * [backup-simplify]: Simplify 1 into 1
279.292 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
279.292 * [taylor]: Taking taylor expansion of 1/4 in K
279.292 * [backup-simplify]: Simplify 1/4 into 1/4
279.292 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
279.292 * [taylor]: Taking taylor expansion of (pow J 2) in K
279.292 * [taylor]: Taking taylor expansion of J in K
279.292 * [backup-simplify]: Simplify J into J
279.292 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
279.292 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
279.292 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
279.292 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
279.292 * [taylor]: Taking taylor expansion of -1/2 in K
279.292 * [backup-simplify]: Simplify -1/2 into -1/2
279.292 * [taylor]: Taking taylor expansion of K in K
279.292 * [backup-simplify]: Simplify 0 into 0
279.292 * [backup-simplify]: Simplify 1 into 1
279.293 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
279.293 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.293 * [taylor]: Taking taylor expansion of (pow U 2) in K
279.293 * [taylor]: Taking taylor expansion of U in K
279.293 * [backup-simplify]: Simplify U into U
279.293 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.293 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.293 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.293 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
279.293 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
279.293 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
279.293 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in U
279.293 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in U
279.294 * [taylor]: Taking taylor expansion of 1/16 in U
279.294 * [backup-simplify]: Simplify 1/16 into 1/16
279.294 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in U
279.294 * [taylor]: Taking taylor expansion of (pow J 4) in U
279.294 * [taylor]: Taking taylor expansion of J in U
279.294 * [backup-simplify]: Simplify J into J
279.294 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in U
279.294 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in U
279.294 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
279.294 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
279.294 * [taylor]: Taking taylor expansion of -1/2 in U
279.294 * [backup-simplify]: Simplify -1/2 into -1/2
279.294 * [taylor]: Taking taylor expansion of K in U
279.294 * [backup-simplify]: Simplify K into K
279.294 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
279.294 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.294 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
279.294 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
279.294 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
279.295 * [backup-simplify]: Simplify (- 0) into 0
279.295 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
279.295 * [taylor]: Taking taylor expansion of (pow U 4) in U
279.295 * [taylor]: Taking taylor expansion of U in U
279.295 * [backup-simplify]: Simplify 0 into 0
279.295 * [backup-simplify]: Simplify 1 into 1
279.295 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.295 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.295 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.295 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
279.296 * [backup-simplify]: Simplify (* 1 1) into 1
279.296 * [backup-simplify]: Simplify (* 1 1) into 1
279.296 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) 1) into (pow (cos (/ -1/2 K)) 4)
279.296 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))
279.296 * [taylor]: Taking taylor expansion of 1 in U
279.296 * [backup-simplify]: Simplify 1 into 1
279.296 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
279.296 * [taylor]: Taking taylor expansion of 1/4 in U
279.296 * [backup-simplify]: Simplify 1/4 into 1/4
279.297 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
279.297 * [taylor]: Taking taylor expansion of (pow J 2) in U
279.297 * [taylor]: Taking taylor expansion of J in U
279.297 * [backup-simplify]: Simplify J into J
279.297 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
279.297 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
279.297 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
279.297 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
279.297 * [taylor]: Taking taylor expansion of -1/2 in U
279.297 * [backup-simplify]: Simplify -1/2 into -1/2
279.297 * [taylor]: Taking taylor expansion of K in U
279.297 * [backup-simplify]: Simplify K into K
279.297 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
279.297 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.297 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
279.297 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
279.297 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
279.298 * [backup-simplify]: Simplify (- 0) into 0
279.298 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
279.298 * [taylor]: Taking taylor expansion of (pow U 2) in U
279.298 * [taylor]: Taking taylor expansion of U in U
279.298 * [backup-simplify]: Simplify 0 into 0
279.298 * [backup-simplify]: Simplify 1 into 1
279.298 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.298 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.298 * [backup-simplify]: Simplify (* 1 1) into 1
279.299 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
279.299 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
279.299 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
279.299 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in U
279.299 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in U
279.299 * [taylor]: Taking taylor expansion of 1/16 in U
279.299 * [backup-simplify]: Simplify 1/16 into 1/16
279.299 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in U
279.299 * [taylor]: Taking taylor expansion of (pow J 4) in U
279.299 * [taylor]: Taking taylor expansion of J in U
279.299 * [backup-simplify]: Simplify J into J
279.299 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in U
279.299 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in U
279.299 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
279.299 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
279.299 * [taylor]: Taking taylor expansion of -1/2 in U
279.299 * [backup-simplify]: Simplify -1/2 into -1/2
279.299 * [taylor]: Taking taylor expansion of K in U
279.299 * [backup-simplify]: Simplify K into K
279.299 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
279.299 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.299 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
279.299 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
279.300 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
279.300 * [backup-simplify]: Simplify (- 0) into 0
279.300 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
279.300 * [taylor]: Taking taylor expansion of (pow U 4) in U
279.300 * [taylor]: Taking taylor expansion of U in U
279.300 * [backup-simplify]: Simplify 0 into 0
279.300 * [backup-simplify]: Simplify 1 into 1
279.301 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.301 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.301 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.301 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
279.301 * [backup-simplify]: Simplify (* 1 1) into 1
279.302 * [backup-simplify]: Simplify (* 1 1) into 1
279.302 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) 1) into (pow (cos (/ -1/2 K)) 4)
279.302 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))
279.302 * [taylor]: Taking taylor expansion of 1 in U
279.302 * [backup-simplify]: Simplify 1 into 1
279.302 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
279.302 * [taylor]: Taking taylor expansion of 1/4 in U
279.302 * [backup-simplify]: Simplify 1/4 into 1/4
279.302 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
279.302 * [taylor]: Taking taylor expansion of (pow J 2) in U
279.302 * [taylor]: Taking taylor expansion of J in U
279.302 * [backup-simplify]: Simplify J into J
279.302 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
279.302 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
279.302 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
279.302 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
279.302 * [taylor]: Taking taylor expansion of -1/2 in U
279.302 * [backup-simplify]: Simplify -1/2 into -1/2
279.302 * [taylor]: Taking taylor expansion of K in U
279.302 * [backup-simplify]: Simplify K into K
279.302 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
279.303 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.303 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
279.303 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
279.303 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
279.303 * [backup-simplify]: Simplify (- 0) into 0
279.303 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
279.303 * [taylor]: Taking taylor expansion of (pow U 2) in U
279.303 * [taylor]: Taking taylor expansion of U in U
279.303 * [backup-simplify]: Simplify 0 into 0
279.303 * [backup-simplify]: Simplify 1 into 1
279.303 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.303 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.303 * [backup-simplify]: Simplify (* 1 1) into 1
279.304 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
279.304 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
279.304 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
279.304 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
279.304 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
279.304 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) in K
279.304 * [taylor]: Taking taylor expansion of 1/16 in K
279.304 * [backup-simplify]: Simplify 1/16 into 1/16
279.304 * [taylor]: Taking taylor expansion of (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) in K
279.304 * [taylor]: Taking taylor expansion of (pow J 4) in K
279.304 * [taylor]: Taking taylor expansion of J in K
279.304 * [backup-simplify]: Simplify J into J
279.304 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in K
279.304 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
279.304 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
279.304 * [taylor]: Taking taylor expansion of -1/2 in K
279.304 * [backup-simplify]: Simplify -1/2 into -1/2
279.304 * [taylor]: Taking taylor expansion of K in K
279.304 * [backup-simplify]: Simplify 0 into 0
279.304 * [backup-simplify]: Simplify 1 into 1
279.305 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
279.305 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.305 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.305 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.305 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.305 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
279.305 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))
279.305 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
279.305 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) in J
279.305 * [taylor]: Taking taylor expansion of 1/16 in J
279.305 * [backup-simplify]: Simplify 1/16 into 1/16
279.305 * [taylor]: Taking taylor expansion of (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) in J
279.305 * [taylor]: Taking taylor expansion of (pow J 4) in J
279.305 * [taylor]: Taking taylor expansion of J in J
279.305 * [backup-simplify]: Simplify 0 into 0
279.305 * [backup-simplify]: Simplify 1 into 1
279.305 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in J
279.305 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
279.305 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
279.305 * [taylor]: Taking taylor expansion of -1/2 in J
279.305 * [backup-simplify]: Simplify -1/2 into -1/2
279.305 * [taylor]: Taking taylor expansion of K in J
279.305 * [backup-simplify]: Simplify K into K
279.305 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
279.306 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.306 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
279.306 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
279.306 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
279.306 * [backup-simplify]: Simplify (- 0) into 0
279.306 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
279.306 * [backup-simplify]: Simplify (* 1 1) into 1
279.306 * [backup-simplify]: Simplify (* 1 1) into 1
279.307 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.307 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
279.307 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 4)) into (/ 1 (pow (cos (/ -1/2 K)) 4))
279.307 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
279.307 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
279.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
279.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
279.308 * [backup-simplify]: Simplify (+ 0) into 0
279.308 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
279.308 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
279.309 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
279.309 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
279.309 * [backup-simplify]: Simplify (- 0) into 0
279.310 * [backup-simplify]: Simplify (+ 0 0) into 0
279.310 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
279.310 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
279.310 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (* 0 1)) into 0
279.310 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
279.311 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) into 0
279.311 * [backup-simplify]: Simplify (+ 0 0) into 0
279.311 * [backup-simplify]: Simplify (+ 0 0) into 0
279.311 * [taylor]: Taking taylor expansion of 0 in K
279.311 * [backup-simplify]: Simplify 0 into 0
279.311 * [taylor]: Taking taylor expansion of 0 in J
279.311 * [backup-simplify]: Simplify 0 into 0
279.311 * [backup-simplify]: Simplify 0 into 0
279.312 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
279.312 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
279.312 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
279.312 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
279.312 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
279.312 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) into 0
279.312 * [taylor]: Taking taylor expansion of 0 in J
279.312 * [backup-simplify]: Simplify 0 into 0
279.312 * [backup-simplify]: Simplify 0 into 0
279.313 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
279.313 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
279.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
279.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
279.315 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
279.315 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
279.315 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
279.316 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
279.316 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
279.316 * [backup-simplify]: Simplify (- 0) into 0
279.317 * [backup-simplify]: Simplify (+ 0 0) into 0
279.317 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
279.317 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
279.318 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (+ (* 0 0) (* 0 1))) into 0
279.318 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
279.319 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))) into 0
279.319 * [backup-simplify]: Simplify (+ 0 0) into 0
279.319 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
279.319 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))
279.319 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))
279.319 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K
279.319 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K
279.319 * [taylor]: Taking taylor expansion of 1/4 in K
279.319 * [backup-simplify]: Simplify 1/4 into 1/4
279.319 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K
279.319 * [taylor]: Taking taylor expansion of (pow J 2) in K
279.319 * [taylor]: Taking taylor expansion of J in K
279.320 * [backup-simplify]: Simplify J into J
279.320 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
279.320 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
279.320 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
279.320 * [taylor]: Taking taylor expansion of -1/2 in K
279.320 * [backup-simplify]: Simplify -1/2 into -1/2
279.320 * [taylor]: Taking taylor expansion of K in K
279.320 * [backup-simplify]: Simplify 0 into 0
279.320 * [backup-simplify]: Simplify 1 into 1
279.320 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
279.320 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.320 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.320 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.320 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
279.320 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
279.320 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))
279.320 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J
279.320 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J
279.321 * [taylor]: Taking taylor expansion of 1/4 in J
279.321 * [backup-simplify]: Simplify 1/4 into 1/4
279.321 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J
279.321 * [taylor]: Taking taylor expansion of (pow J 2) in J
279.321 * [taylor]: Taking taylor expansion of J in J
279.321 * [backup-simplify]: Simplify 0 into 0
279.321 * [backup-simplify]: Simplify 1 into 1
279.321 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
279.321 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
279.321 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
279.321 * [taylor]: Taking taylor expansion of -1/2 in J
279.321 * [backup-simplify]: Simplify -1/2 into -1/2
279.321 * [taylor]: Taking taylor expansion of K in J
279.321 * [backup-simplify]: Simplify K into K
279.321 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
279.321 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.321 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
279.321 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
279.321 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
279.321 * [backup-simplify]: Simplify (- 0) into 0
279.321 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
279.321 * [backup-simplify]: Simplify (* 1 1) into 1
279.322 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.322 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2))
279.322 * [taylor]: Taking taylor expansion of 0 in J
279.322 * [backup-simplify]: Simplify 0 into 0
279.322 * [backup-simplify]: Simplify 0 into 0
279.322 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
279.322 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
279.323 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
279.323 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
279.323 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
279.324 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))) into 0
279.324 * [taylor]: Taking taylor expansion of 0 in J
279.324 * [backup-simplify]: Simplify 0 into 0
279.324 * [backup-simplify]: Simplify 0 into 0
279.324 * [backup-simplify]: Simplify 0 into 0
279.324 * [backup-simplify]: Simplify 0 into 0
279.324 * [backup-simplify]: Simplify 0 into 0
279.324 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2)
279.325 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) into (pow (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1/4)
279.325 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1/4) in (U K J) around 0
279.325 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1/4) in J
279.325 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))) in J
279.325 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) in J
279.325 * [taylor]: Taking taylor expansion of 1/4 in J
279.325 * [backup-simplify]: Simplify 1/4 into 1/4
279.325 * [taylor]: Taking taylor expansion of (log (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) in J
279.325 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in J
279.325 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in J
279.325 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in J
279.325 * [taylor]: Taking taylor expansion of 1/16 in J
279.325 * [backup-simplify]: Simplify 1/16 into 1/16
279.325 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in J
279.325 * [taylor]: Taking taylor expansion of (pow U 4) in J
279.325 * [taylor]: Taking taylor expansion of U in J
279.325 * [backup-simplify]: Simplify U into U
279.325 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in J
279.325 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in J
279.325 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
279.325 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
279.325 * [taylor]: Taking taylor expansion of 1/2 in J
279.325 * [backup-simplify]: Simplify 1/2 into 1/2
279.326 * [taylor]: Taking taylor expansion of K in J
279.326 * [backup-simplify]: Simplify K into K
279.326 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
279.326 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
279.326 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
279.326 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
279.326 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
279.326 * [backup-simplify]: Simplify (- 0) into 0
279.326 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
279.326 * [taylor]: Taking taylor expansion of (pow J 4) in J
279.326 * [taylor]: Taking taylor expansion of J in J
279.326 * [backup-simplify]: Simplify 0 into 0
279.326 * [backup-simplify]: Simplify 1 into 1
279.326 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.326 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
279.326 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
279.326 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 4)
279.327 * [backup-simplify]: Simplify (* 1 1) into 1
279.327 * [backup-simplify]: Simplify (* 1 1) into 1
279.327 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 4) 1) into (pow (cos (* 1/2 K)) 4)
279.327 * [backup-simplify]: Simplify (/ (pow U 4) (pow (cos (* 1/2 K)) 4)) into (/ (pow U 4) (pow (cos (* 1/2 K)) 4))
279.327 * [taylor]: Taking taylor expansion of 1 in J
279.327 * [backup-simplify]: Simplify 1 into 1
279.327 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
279.327 * [taylor]: Taking taylor expansion of 1/4 in J
279.327 * [backup-simplify]: Simplify 1/4 into 1/4
279.327 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
279.327 * [taylor]: Taking taylor expansion of (pow U 2) in J
279.327 * [taylor]: Taking taylor expansion of U in J
279.327 * [backup-simplify]: Simplify U into U
279.327 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
279.327 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
279.327 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
279.327 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
279.327 * [taylor]: Taking taylor expansion of 1/2 in J
279.327 * [backup-simplify]: Simplify 1/2 into 1/2
279.327 * [taylor]: Taking taylor expansion of K in J
279.327 * [backup-simplify]: Simplify K into K
279.327 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
279.327 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
279.327 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
279.327 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
279.327 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
279.328 * [backup-simplify]: Simplify (- 0) into 0
279.328 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
279.328 * [taylor]: Taking taylor expansion of (pow J 2) in J
279.328 * [taylor]: Taking taylor expansion of J in J
279.328 * [backup-simplify]: Simplify 0 into 0
279.328 * [backup-simplify]: Simplify 1 into 1
279.328 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.328 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
279.328 * [backup-simplify]: Simplify (* 1 1) into 1
279.328 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
279.328 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
279.329 * [backup-simplify]: Simplify (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4))) into (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))
279.329 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4))) 0) into (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))
279.329 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4))) 0) into (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))
279.329 * [backup-simplify]: Simplify (log (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))) into (log (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4))))
279.329 * [backup-simplify]: Simplify (+ (* (- 4) (log J)) (log (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4))))) into (- (log (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))) (* 4 (log J)))
279.329 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))) (* 4 (log J)))) into (* 1/4 (- (log (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))) (* 4 (log J))))
279.330 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))) (* 4 (log J))))) into (exp (* 1/4 (- (log (* 1/16 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))) (* 4 (log J)))))
279.330 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1/4) in K
279.330 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))) in K
279.330 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) in K
279.330 * [taylor]: Taking taylor expansion of 1/4 in K
279.330 * [backup-simplify]: Simplify 1/4 into 1/4
279.330 * [taylor]: Taking taylor expansion of (log (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) in K
279.330 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in K
279.330 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in K
279.330 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in K
279.330 * [taylor]: Taking taylor expansion of 1/16 in K
279.330 * [backup-simplify]: Simplify 1/16 into 1/16
279.330 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in K
279.330 * [taylor]: Taking taylor expansion of (pow U 4) in K
279.330 * [taylor]: Taking taylor expansion of U in K
279.330 * [backup-simplify]: Simplify U into U
279.330 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in K
279.330 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in K
279.330 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
279.330 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
279.330 * [taylor]: Taking taylor expansion of 1/2 in K
279.330 * [backup-simplify]: Simplify 1/2 into 1/2
279.330 * [taylor]: Taking taylor expansion of K in K
279.330 * [backup-simplify]: Simplify 0 into 0
279.330 * [backup-simplify]: Simplify 1 into 1
279.330 * [backup-simplify]: Simplify (* 1/2 0) into 0
279.331 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
279.331 * [taylor]: Taking taylor expansion of (pow J 4) in K
279.331 * [taylor]: Taking taylor expansion of J in K
279.331 * [backup-simplify]: Simplify J into J
279.331 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.331 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
279.331 * [backup-simplify]: Simplify (* 1 1) into 1
279.331 * [backup-simplify]: Simplify (* 1 1) into 1
279.332 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.332 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.332 * [backup-simplify]: Simplify (* 1 (pow J 4)) into (pow J 4)
279.332 * [backup-simplify]: Simplify (/ (pow U 4) (pow J 4)) into (/ (pow U 4) (pow J 4))
279.332 * [taylor]: Taking taylor expansion of 1 in K
279.332 * [backup-simplify]: Simplify 1 into 1
279.332 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
279.332 * [taylor]: Taking taylor expansion of 1/4 in K
279.332 * [backup-simplify]: Simplify 1/4 into 1/4
279.332 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
279.332 * [taylor]: Taking taylor expansion of (pow U 2) in K
279.332 * [taylor]: Taking taylor expansion of U in K
279.332 * [backup-simplify]: Simplify U into U
279.332 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
279.332 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
279.332 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
279.332 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
279.332 * [taylor]: Taking taylor expansion of 1/2 in K
279.332 * [backup-simplify]: Simplify 1/2 into 1/2
279.332 * [taylor]: Taking taylor expansion of K in K
279.332 * [backup-simplify]: Simplify 0 into 0
279.332 * [backup-simplify]: Simplify 1 into 1
279.332 * [backup-simplify]: Simplify (* 1/2 0) into 0
279.333 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
279.333 * [taylor]: Taking taylor expansion of (pow J 2) in K
279.333 * [taylor]: Taking taylor expansion of J in K
279.333 * [backup-simplify]: Simplify J into J
279.333 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.333 * [backup-simplify]: Simplify (* 1 1) into 1
279.333 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.333 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
279.333 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
279.333 * [backup-simplify]: Simplify (* 1/16 (/ (pow U 4) (pow J 4))) into (* 1/16 (/ (pow U 4) (pow J 4)))
279.333 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) into (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1)
279.333 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
279.334 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow U 2) (pow J 2)))) into (- (* 1/4 (/ (pow U 2) (pow J 2))))
279.334 * [backup-simplify]: Simplify (+ (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (- (* 1/4 (/ (pow U 2) (pow J 2))))) into (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2))))
279.334 * [backup-simplify]: Simplify (log (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2))))) into (log (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2)))))
279.334 * [backup-simplify]: Simplify (* 1/4 (log (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2)))))) into (* 1/4 (log (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2))))))
279.335 * [backup-simplify]: Simplify (exp (* 1/4 (log (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2))))))) into (pow (- (+ (* 1/16 (/ (pow U 4) (pow J 4))) 1) (* 1/4 (/ (pow U 2) (pow J 2)))) 1/4)
279.335 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1/4) in U
279.335 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))) in U
279.335 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) in U
279.335 * [taylor]: Taking taylor expansion of 1/4 in U
279.335 * [backup-simplify]: Simplify 1/4 into 1/4
279.335 * [taylor]: Taking taylor expansion of (log (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) in U
279.335 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in U
279.335 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in U
279.335 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in U
279.335 * [taylor]: Taking taylor expansion of 1/16 in U
279.335 * [backup-simplify]: Simplify 1/16 into 1/16
279.335 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in U
279.335 * [taylor]: Taking taylor expansion of (pow U 4) in U
279.335 * [taylor]: Taking taylor expansion of U in U
279.335 * [backup-simplify]: Simplify 0 into 0
279.335 * [backup-simplify]: Simplify 1 into 1
279.335 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in U
279.335 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in U
279.335 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
279.335 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
279.335 * [taylor]: Taking taylor expansion of 1/2 in U
279.335 * [backup-simplify]: Simplify 1/2 into 1/2
279.335 * [taylor]: Taking taylor expansion of K in U
279.335 * [backup-simplify]: Simplify K into K
279.336 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
279.336 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
279.336 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
279.336 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
279.336 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
279.336 * [backup-simplify]: Simplify (- 0) into 0
279.336 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
279.336 * [taylor]: Taking taylor expansion of (pow J 4) in U
279.336 * [taylor]: Taking taylor expansion of J in U
279.336 * [backup-simplify]: Simplify J into J
279.337 * [backup-simplify]: Simplify (* 1 1) into 1
279.337 * [backup-simplify]: Simplify (* 1 1) into 1
279.337 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
279.337 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 4)
279.337 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.338 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.338 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 4) (pow J 4)) into (* (pow (cos (* 1/2 K)) 4) (pow J 4))
279.338 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) into (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))
279.338 * [taylor]: Taking taylor expansion of 1 in U
279.338 * [backup-simplify]: Simplify 1 into 1
279.338 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
279.338 * [taylor]: Taking taylor expansion of 1/4 in U
279.338 * [backup-simplify]: Simplify 1/4 into 1/4
279.338 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
279.338 * [taylor]: Taking taylor expansion of (pow U 2) in U
279.338 * [taylor]: Taking taylor expansion of U in U
279.338 * [backup-simplify]: Simplify 0 into 0
279.338 * [backup-simplify]: Simplify 1 into 1
279.338 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
279.338 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
279.338 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
279.338 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
279.338 * [taylor]: Taking taylor expansion of 1/2 in U
279.338 * [backup-simplify]: Simplify 1/2 into 1/2
279.338 * [taylor]: Taking taylor expansion of K in U
279.338 * [backup-simplify]: Simplify K into K
279.338 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
279.338 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
279.339 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
279.339 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
279.339 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
279.339 * [backup-simplify]: Simplify (- 0) into 0
279.339 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
279.339 * [taylor]: Taking taylor expansion of (pow J 2) in U
279.339 * [taylor]: Taking taylor expansion of J in U
279.339 * [backup-simplify]: Simplify J into J
279.339 * [backup-simplify]: Simplify (* 1 1) into 1
279.339 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
279.339 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.340 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
279.340 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
279.340 * [backup-simplify]: Simplify (+ 0 1) into 1
279.340 * [backup-simplify]: Simplify (+ 1 0) into 1
279.340 * [backup-simplify]: Simplify (log 1) into 0
279.341 * [backup-simplify]: Simplify (* 1/4 0) into 0
279.341 * [backup-simplify]: Simplify (+ 0 0) into 0
279.341 * [backup-simplify]: Simplify (+ 0 0) into 0
279.342 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
279.342 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0
279.343 * [backup-simplify]: Simplify (+ 0 0) into 0
279.343 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
279.343 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))
279.343 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))
279.344 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) 1)) (pow 1 1)))) 2) into (/ -1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
279.345 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (- (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))
279.345 * [backup-simplify]: Simplify (exp 0) into 1
279.345 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1/4) in U
279.345 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))) in U
279.345 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) in U
279.345 * [taylor]: Taking taylor expansion of 1/4 in U
279.345 * [backup-simplify]: Simplify 1/4 into 1/4
279.345 * [taylor]: Taking taylor expansion of (log (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) in U
279.345 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) in U
279.345 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) 1) in U
279.345 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4)))) in U
279.345 * [taylor]: Taking taylor expansion of 1/16 in U
279.345 * [backup-simplify]: Simplify 1/16 into 1/16
279.345 * [taylor]: Taking taylor expansion of (/ (pow U 4) (* (pow (cos (* 1/2 K)) 4) (pow J 4))) in U
279.345 * [taylor]: Taking taylor expansion of (pow U 4) in U
279.345 * [taylor]: Taking taylor expansion of U in U
279.345 * [backup-simplify]: Simplify 0 into 0
279.345 * [backup-simplify]: Simplify 1 into 1
279.345 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 4) (pow J 4)) in U
279.345 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 4) in U
279.345 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
279.345 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
279.345 * [taylor]: Taking taylor expansion of 1/2 in U
279.345 * [backup-simplify]: Simplify 1/2 into 1/2
279.345 * [taylor]: Taking taylor expansion of K in U
279.345 * [backup-simplify]: Simplify K into K
279.345 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
279.345 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
279.345 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
279.345 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
279.346 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
279.346 * [backup-simplify]: Simplify (- 0) into 0
279.346 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
279.346 * [taylor]: Taking taylor expansion of (pow J 4) in U
279.346 * [taylor]: Taking taylor expansion of J in U
279.346 * [backup-simplify]: Simplify J into J
279.346 * [backup-simplify]: Simplify (* 1 1) into 1
279.346 * [backup-simplify]: Simplify (* 1 1) into 1
279.346 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
279.347 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow (cos (* 1/2 K)) 2)) into (pow (cos (* 1/2 K)) 4)
279.347 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.347 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.347 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 4) (pow J 4)) into (* (pow (cos (* 1/2 K)) 4) (pow J 4))
279.347 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4))) into (/ 1 (* (pow (cos (* 1/2 K)) 4) (pow J 4)))
279.347 * [taylor]: Taking taylor expansion of 1 in U
279.347 * [backup-simplify]: Simplify 1 into 1
279.347 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
279.347 * [taylor]: Taking taylor expansion of 1/4 in U
279.347 * [backup-simplify]: Simplify 1/4 into 1/4
279.347 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
279.347 * [taylor]: Taking taylor expansion of (pow U 2) in U
279.347 * [taylor]: Taking taylor expansion of U in U
279.347 * [backup-simplify]: Simplify 0 into 0
279.347 * [backup-simplify]: Simplify 1 into 1
279.347 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
279.347 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
279.347 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
279.347 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
279.347 * [taylor]: Taking taylor expansion of 1/2 in U
279.347 * [backup-simplify]: Simplify 1/2 into 1/2
279.347 * [taylor]: Taking taylor expansion of K in U
279.347 * [backup-simplify]: Simplify K into K
279.347 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
279.347 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
279.347 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
279.347 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
279.347 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
279.348 * [backup-simplify]: Simplify (- 0) into 0
279.348 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
279.348 * [taylor]: Taking taylor expansion of (pow J 2) in U
279.348 * [taylor]: Taking taylor expansion of J in U
279.348 * [backup-simplify]: Simplify J into J
279.348 * [backup-simplify]: Simplify (* 1 1) into 1
279.348 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
279.348 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.348 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
279.348 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
279.349 * [backup-simplify]: Simplify (+ 0 1) into 1
279.349 * [backup-simplify]: Simplify (+ 1 0) into 1
279.349 * [backup-simplify]: Simplify (log 1) into 0
279.349 * [backup-simplify]: Simplify (* 1/4 0) into 0
279.350 * [backup-simplify]: Simplify (+ 0 0) into 0
279.350 * [backup-simplify]: Simplify (+ 0 0) into 0
279.351 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
279.351 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0
279.351 * [backup-simplify]: Simplify (+ 0 0) into 0
279.351 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
279.352 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))
279.352 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))
279.353 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) 1)) (pow 1 1)))) 2) into (/ -1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
279.354 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (- (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))
279.354 * [backup-simplify]: Simplify (exp 0) into 1
279.354 * [taylor]: Taking taylor expansion of 1 in K
279.354 * [backup-simplify]: Simplify 1 into 1
279.354 * [taylor]: Taking taylor expansion of 1 in J
279.354 * [backup-simplify]: Simplify 1 into 1
279.354 * [backup-simplify]: Simplify 1 into 1
279.355 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
279.355 * [taylor]: Taking taylor expansion of 0 in K
279.355 * [backup-simplify]: Simplify 0 into 0
279.355 * [taylor]: Taking taylor expansion of 0 in J
279.355 * [backup-simplify]: Simplify 0 into 0
279.355 * [backup-simplify]: Simplify 0 into 0
279.355 * [taylor]: Taking taylor expansion of 0 in J
279.355 * [backup-simplify]: Simplify 0 into 0
279.355 * [backup-simplify]: Simplify 0 into 0
279.355 * [backup-simplify]: Simplify 0 into 0
279.355 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1) 1)))) into (/ -1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
279.355 * [taylor]: Taking taylor expansion of (/ -1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
279.355 * [taylor]: Taking taylor expansion of -1/16 in K
279.355 * [backup-simplify]: Simplify -1/16 into -1/16
279.355 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
279.355 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
279.356 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
279.356 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
279.356 * [taylor]: Taking taylor expansion of 1/2 in K
279.356 * [backup-simplify]: Simplify 1/2 into 1/2
279.356 * [taylor]: Taking taylor expansion of K in K
279.356 * [backup-simplify]: Simplify 0 into 0
279.356 * [backup-simplify]: Simplify 1 into 1
279.356 * [backup-simplify]: Simplify (* 1/2 0) into 0
279.356 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
279.356 * [taylor]: Taking taylor expansion of (pow J 2) in K
279.356 * [taylor]: Taking taylor expansion of J in K
279.356 * [backup-simplify]: Simplify J into J
279.357 * [backup-simplify]: Simplify (* 1 1) into 1
279.357 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.357 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
279.357 * [backup-simplify]: Simplify (/ -1/16 (pow J 2)) into (/ -1/16 (pow J 2))
279.357 * [taylor]: Taking taylor expansion of (/ -1/16 (pow J 2)) in J
279.357 * [taylor]: Taking taylor expansion of -1/16 in J
279.357 * [backup-simplify]: Simplify -1/16 into -1/16
279.357 * [taylor]: Taking taylor expansion of (pow J 2) in J
279.357 * [taylor]: Taking taylor expansion of J in J
279.357 * [backup-simplify]: Simplify 0 into 0
279.357 * [backup-simplify]: Simplify 1 into 1
279.357 * [backup-simplify]: Simplify (* 1 1) into 1
279.357 * [backup-simplify]: Simplify (/ -1/16 1) into -1/16
279.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
279.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
279.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/16 (/ 0 1)))) into 0
279.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0
279.359 * [backup-simplify]: Simplify 0 into 0
279.360 * [taylor]: Taking taylor expansion of 0 in J
279.360 * [backup-simplify]: Simplify 0 into 0
279.360 * [backup-simplify]: Simplify 0 into 0
279.360 * [taylor]: Taking taylor expansion of 0 in J
279.360 * [backup-simplify]: Simplify 0 into 0
279.360 * [backup-simplify]: Simplify 0 into 0
279.360 * [backup-simplify]: Simplify 1 into 1
279.361 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))))) (- (* 1 1) (* (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1))))) into (pow (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1/4)
279.361 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1/4) in (U K J) around 0
279.361 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1/4) in J
279.361 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))))) in J
279.361 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) in J
279.361 * [taylor]: Taking taylor expansion of 1/4 in J
279.361 * [backup-simplify]: Simplify 1/4 into 1/4
279.361 * [taylor]: Taking taylor expansion of (log (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) in J
279.361 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in J
279.361 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in J
279.361 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in J
279.361 * [taylor]: Taking taylor expansion of 1/16 in J
279.361 * [backup-simplify]: Simplify 1/16 into 1/16
279.361 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in J
279.361 * [taylor]: Taking taylor expansion of (pow J 4) in J
279.361 * [taylor]: Taking taylor expansion of J in J
279.361 * [backup-simplify]: Simplify 0 into 0
279.361 * [backup-simplify]: Simplify 1 into 1
279.361 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in J
279.361 * [taylor]: Taking taylor expansion of (pow U 4) in J
279.361 * [taylor]: Taking taylor expansion of U in J
279.361 * [backup-simplify]: Simplify U into U
279.361 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in J
279.361 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
279.361 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
279.361 * [taylor]: Taking taylor expansion of 1/2 in J
279.361 * [backup-simplify]: Simplify 1/2 into 1/2
279.362 * [taylor]: Taking taylor expansion of K in J
279.362 * [backup-simplify]: Simplify K into K
279.362 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
279.362 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.362 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
279.362 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
279.362 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
279.362 * [backup-simplify]: Simplify (- 0) into 0
279.362 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
279.362 * [backup-simplify]: Simplify (* 1 1) into 1
279.363 * [backup-simplify]: Simplify (* 1 1) into 1
279.363 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.363 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
279.363 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.363 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
279.363 * [backup-simplify]: Simplify (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) into (* (pow U 4) (pow (cos (/ 1/2 K)) 4))
279.363 * [backup-simplify]: Simplify (/ 1 (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) into (/ 1 (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))
279.363 * [taylor]: Taking taylor expansion of 1 in J
279.363 * [backup-simplify]: Simplify 1 into 1
279.363 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
279.363 * [taylor]: Taking taylor expansion of 1/4 in J
279.363 * [backup-simplify]: Simplify 1/4 into 1/4
279.363 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
279.363 * [taylor]: Taking taylor expansion of (pow J 2) in J
279.363 * [taylor]: Taking taylor expansion of J in J
279.363 * [backup-simplify]: Simplify 0 into 0
279.363 * [backup-simplify]: Simplify 1 into 1
279.363 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
279.363 * [taylor]: Taking taylor expansion of (pow U 2) in J
279.363 * [taylor]: Taking taylor expansion of U in J
279.363 * [backup-simplify]: Simplify U into U
279.363 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
279.363 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
279.363 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
279.363 * [taylor]: Taking taylor expansion of 1/2 in J
279.363 * [backup-simplify]: Simplify 1/2 into 1/2
279.363 * [taylor]: Taking taylor expansion of K in J
279.363 * [backup-simplify]: Simplify K into K
279.363 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
279.363 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.363 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
279.364 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
279.364 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
279.364 * [backup-simplify]: Simplify (- 0) into 0
279.364 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
279.364 * [backup-simplify]: Simplify (* 1 1) into 1
279.364 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.364 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.364 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
279.364 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
279.365 * [backup-simplify]: Simplify (+ 0 1) into 1
279.365 * [backup-simplify]: Simplify (+ 1 0) into 1
279.365 * [backup-simplify]: Simplify (log 1) into 0
279.366 * [backup-simplify]: Simplify (* 1/4 0) into 0
279.366 * [backup-simplify]: Simplify (+ 0 0) into 0
279.366 * [backup-simplify]: Simplify (+ 0 0) into 0
279.367 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
279.367 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0
279.367 * [backup-simplify]: Simplify (+ 0 0) into 0
279.368 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
279.368 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))
279.368 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))
279.369 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) 1)) (pow 1 1)))) 2) into (/ -1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
279.370 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (- (* 1/16 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))
279.370 * [backup-simplify]: Simplify (exp 0) into 1
279.370 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1/4) in K
279.370 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))))) in K
279.370 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) in K
279.370 * [taylor]: Taking taylor expansion of 1/4 in K
279.370 * [backup-simplify]: Simplify 1/4 into 1/4
279.370 * [taylor]: Taking taylor expansion of (log (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) in K
279.370 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in K
279.370 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in K
279.370 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in K
279.370 * [taylor]: Taking taylor expansion of 1/16 in K
279.370 * [backup-simplify]: Simplify 1/16 into 1/16
279.370 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in K
279.370 * [taylor]: Taking taylor expansion of (pow J 4) in K
279.370 * [taylor]: Taking taylor expansion of J in K
279.370 * [backup-simplify]: Simplify J into J
279.370 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in K
279.370 * [taylor]: Taking taylor expansion of (pow U 4) in K
279.370 * [taylor]: Taking taylor expansion of U in K
279.370 * [backup-simplify]: Simplify U into U
279.370 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in K
279.370 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
279.370 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
279.370 * [taylor]: Taking taylor expansion of 1/2 in K
279.370 * [backup-simplify]: Simplify 1/2 into 1/2
279.370 * [taylor]: Taking taylor expansion of K in K
279.370 * [backup-simplify]: Simplify 0 into 0
279.370 * [backup-simplify]: Simplify 1 into 1
279.370 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
279.370 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.370 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.371 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.371 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.371 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
279.371 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.371 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
279.371 * [backup-simplify]: Simplify (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) into (* (pow U 4) (pow (cos (/ 1/2 K)) 4))
279.371 * [backup-simplify]: Simplify (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) into (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))
279.371 * [taylor]: Taking taylor expansion of 1 in K
279.371 * [backup-simplify]: Simplify 1 into 1
279.371 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
279.371 * [taylor]: Taking taylor expansion of 1/4 in K
279.371 * [backup-simplify]: Simplify 1/4 into 1/4
279.371 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
279.372 * [taylor]: Taking taylor expansion of (pow J 2) in K
279.372 * [taylor]: Taking taylor expansion of J in K
279.372 * [backup-simplify]: Simplify J into J
279.372 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
279.372 * [taylor]: Taking taylor expansion of (pow U 2) in K
279.372 * [taylor]: Taking taylor expansion of U in K
279.372 * [backup-simplify]: Simplify U into U
279.372 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
279.372 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
279.372 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
279.372 * [taylor]: Taking taylor expansion of 1/2 in K
279.372 * [backup-simplify]: Simplify 1/2 into 1/2
279.372 * [taylor]: Taking taylor expansion of K in K
279.372 * [backup-simplify]: Simplify 0 into 0
279.372 * [backup-simplify]: Simplify 1 into 1
279.372 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
279.372 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.372 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.372 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.373 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.373 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
279.373 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
279.373 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) into (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))))
279.374 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) into (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1)
279.374 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
279.374 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into (- (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))
279.375 * [backup-simplify]: Simplify (+ (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (- (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))
279.376 * [backup-simplify]: Simplify (log (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into (log (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))
279.377 * [backup-simplify]: Simplify (* 1/4 (log (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) into (* 1/4 (log (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))))
279.378 * [backup-simplify]: Simplify (exp (* 1/4 (log (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))))) into (pow (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1/4)
279.378 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1/4) in U
279.378 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))))) in U
279.378 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) in U
279.378 * [taylor]: Taking taylor expansion of 1/4 in U
279.378 * [backup-simplify]: Simplify 1/4 into 1/4
279.378 * [taylor]: Taking taylor expansion of (log (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) in U
279.378 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in U
279.378 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in U
279.378 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in U
279.378 * [taylor]: Taking taylor expansion of 1/16 in U
279.378 * [backup-simplify]: Simplify 1/16 into 1/16
279.378 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in U
279.378 * [taylor]: Taking taylor expansion of (pow J 4) in U
279.378 * [taylor]: Taking taylor expansion of J in U
279.378 * [backup-simplify]: Simplify J into J
279.378 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in U
279.378 * [taylor]: Taking taylor expansion of (pow U 4) in U
279.378 * [taylor]: Taking taylor expansion of U in U
279.378 * [backup-simplify]: Simplify 0 into 0
279.378 * [backup-simplify]: Simplify 1 into 1
279.378 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in U
279.378 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
279.378 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
279.379 * [taylor]: Taking taylor expansion of 1/2 in U
279.379 * [backup-simplify]: Simplify 1/2 into 1/2
279.379 * [taylor]: Taking taylor expansion of K in U
279.379 * [backup-simplify]: Simplify K into K
279.379 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
279.379 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.379 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
279.379 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
279.379 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
279.380 * [backup-simplify]: Simplify (- 0) into 0
279.380 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
279.380 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.380 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.380 * [backup-simplify]: Simplify (* 1 1) into 1
279.381 * [backup-simplify]: Simplify (* 1 1) into 1
279.381 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.381 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
279.381 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 4)) into (pow (cos (/ 1/2 K)) 4)
279.381 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))
279.381 * [taylor]: Taking taylor expansion of 1 in U
279.381 * [backup-simplify]: Simplify 1 into 1
279.382 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
279.382 * [taylor]: Taking taylor expansion of 1/4 in U
279.382 * [backup-simplify]: Simplify 1/4 into 1/4
279.382 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
279.382 * [taylor]: Taking taylor expansion of (pow J 2) in U
279.382 * [taylor]: Taking taylor expansion of J in U
279.382 * [backup-simplify]: Simplify J into J
279.382 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
279.382 * [taylor]: Taking taylor expansion of (pow U 2) in U
279.382 * [taylor]: Taking taylor expansion of U in U
279.382 * [backup-simplify]: Simplify 0 into 0
279.382 * [backup-simplify]: Simplify 1 into 1
279.382 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
279.382 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
279.382 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
279.382 * [taylor]: Taking taylor expansion of 1/2 in U
279.382 * [backup-simplify]: Simplify 1/2 into 1/2
279.382 * [taylor]: Taking taylor expansion of K in U
279.382 * [backup-simplify]: Simplify K into K
279.382 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
279.382 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.382 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
279.382 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
279.382 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
279.383 * [backup-simplify]: Simplify (- 0) into 0
279.383 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
279.383 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.383 * [backup-simplify]: Simplify (* 1 1) into 1
279.383 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.384 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
279.384 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
279.384 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
279.384 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
279.384 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
279.385 * [backup-simplify]: Simplify (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) into (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))
279.385 * [backup-simplify]: Simplify (+ (* (- 4) (log U)) (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))) into (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U)))
279.386 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U)))) into (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))
279.386 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) into (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U)))))
279.386 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1/4) in U
279.386 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))))) in U
279.386 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) in U
279.386 * [taylor]: Taking taylor expansion of 1/4 in U
279.386 * [backup-simplify]: Simplify 1/4 into 1/4
279.386 * [taylor]: Taking taylor expansion of (log (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) in U
279.386 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in U
279.386 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) 1) in U
279.386 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4)))) in U
279.386 * [taylor]: Taking taylor expansion of 1/16 in U
279.386 * [backup-simplify]: Simplify 1/16 into 1/16
279.386 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow U 4) (pow (cos (/ 1/2 K)) 4))) in U
279.386 * [taylor]: Taking taylor expansion of (pow J 4) in U
279.386 * [taylor]: Taking taylor expansion of J in U
279.386 * [backup-simplify]: Simplify J into J
279.386 * [taylor]: Taking taylor expansion of (* (pow U 4) (pow (cos (/ 1/2 K)) 4)) in U
279.386 * [taylor]: Taking taylor expansion of (pow U 4) in U
279.386 * [taylor]: Taking taylor expansion of U in U
279.387 * [backup-simplify]: Simplify 0 into 0
279.387 * [backup-simplify]: Simplify 1 into 1
279.387 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in U
279.387 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
279.387 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
279.387 * [taylor]: Taking taylor expansion of 1/2 in U
279.387 * [backup-simplify]: Simplify 1/2 into 1/2
279.387 * [taylor]: Taking taylor expansion of K in U
279.387 * [backup-simplify]: Simplify K into K
279.387 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
279.387 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.387 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
279.387 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
279.387 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
279.387 * [backup-simplify]: Simplify (- 0) into 0
279.388 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
279.388 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.388 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.388 * [backup-simplify]: Simplify (* 1 1) into 1
279.388 * [backup-simplify]: Simplify (* 1 1) into 1
279.389 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.389 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
279.389 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 4)) into (pow (cos (/ 1/2 K)) 4)
279.389 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))
279.389 * [taylor]: Taking taylor expansion of 1 in U
279.389 * [backup-simplify]: Simplify 1 into 1
279.389 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
279.389 * [taylor]: Taking taylor expansion of 1/4 in U
279.389 * [backup-simplify]: Simplify 1/4 into 1/4
279.389 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
279.389 * [taylor]: Taking taylor expansion of (pow J 2) in U
279.389 * [taylor]: Taking taylor expansion of J in U
279.389 * [backup-simplify]: Simplify J into J
279.389 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
279.389 * [taylor]: Taking taylor expansion of (pow U 2) in U
279.389 * [taylor]: Taking taylor expansion of U in U
279.389 * [backup-simplify]: Simplify 0 into 0
279.389 * [backup-simplify]: Simplify 1 into 1
279.389 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
279.390 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
279.390 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
279.390 * [taylor]: Taking taylor expansion of 1/2 in U
279.390 * [backup-simplify]: Simplify 1/2 into 1/2
279.390 * [taylor]: Taking taylor expansion of K in U
279.390 * [backup-simplify]: Simplify K into K
279.390 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
279.390 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.390 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
279.390 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
279.390 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
279.390 * [backup-simplify]: Simplify (- 0) into 0
279.391 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
279.391 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.391 * [backup-simplify]: Simplify (* 1 1) into 1
279.391 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.391 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
279.391 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
279.392 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
279.392 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
279.392 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
279.392 * [backup-simplify]: Simplify (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) into (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))
279.396 * [backup-simplify]: Simplify (+ (* (- 4) (log U)) (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))) into (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U)))
279.397 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U)))) into (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))
279.397 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) into (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U)))))
279.397 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) in K
279.397 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U)))) in K
279.397 * [taylor]: Taking taylor expansion of 1/4 in K
279.397 * [backup-simplify]: Simplify 1/4 into 1/4
279.397 * [taylor]: Taking taylor expansion of (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))) in K
279.397 * [taylor]: Taking taylor expansion of (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) in K
279.397 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) in K
279.397 * [taylor]: Taking taylor expansion of 1/16 in K
279.397 * [backup-simplify]: Simplify 1/16 into 1/16
279.397 * [taylor]: Taking taylor expansion of (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) in K
279.397 * [taylor]: Taking taylor expansion of (pow J 4) in K
279.397 * [taylor]: Taking taylor expansion of J in K
279.397 * [backup-simplify]: Simplify J into J
279.397 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in K
279.397 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
279.397 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
279.397 * [taylor]: Taking taylor expansion of 1/2 in K
279.397 * [backup-simplify]: Simplify 1/2 into 1/2
279.397 * [taylor]: Taking taylor expansion of K in K
279.397 * [backup-simplify]: Simplify 0 into 0
279.397 * [backup-simplify]: Simplify 1 into 1
279.398 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
279.398 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.398 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.398 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.398 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.398 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
279.398 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))
279.398 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
279.398 * [backup-simplify]: Simplify (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) into (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))
279.398 * [taylor]: Taking taylor expansion of (* 4 (log U)) in K
279.398 * [taylor]: Taking taylor expansion of 4 in K
279.398 * [backup-simplify]: Simplify 4 into 4
279.398 * [taylor]: Taking taylor expansion of (log U) in K
279.398 * [taylor]: Taking taylor expansion of U in K
279.398 * [backup-simplify]: Simplify U into U
279.398 * [backup-simplify]: Simplify (log U) into (log U)
279.398 * [backup-simplify]: Simplify (* 4 (log U)) into (* 4 (log U))
279.399 * [backup-simplify]: Simplify (- (* 4 (log U))) into (- (* 4 (log U)))
279.399 * [backup-simplify]: Simplify (+ (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (- (* 4 (log U)))) into (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U)))
279.399 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U)))) into (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))
279.399 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) into (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U)))))
279.399 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) in J
279.399 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U)))) in J
279.399 * [taylor]: Taking taylor expansion of 1/4 in J
279.399 * [backup-simplify]: Simplify 1/4 into 1/4
279.399 * [taylor]: Taking taylor expansion of (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))) in J
279.399 * [taylor]: Taking taylor expansion of (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) in J
279.399 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) in J
279.399 * [taylor]: Taking taylor expansion of 1/16 in J
279.399 * [backup-simplify]: Simplify 1/16 into 1/16
279.399 * [taylor]: Taking taylor expansion of (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) in J
279.399 * [taylor]: Taking taylor expansion of (pow J 4) in J
279.399 * [taylor]: Taking taylor expansion of J in J
279.399 * [backup-simplify]: Simplify 0 into 0
279.399 * [backup-simplify]: Simplify 1 into 1
279.399 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in J
279.399 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
279.399 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
279.399 * [taylor]: Taking taylor expansion of 1/2 in J
279.399 * [backup-simplify]: Simplify 1/2 into 1/2
279.399 * [taylor]: Taking taylor expansion of K in J
279.399 * [backup-simplify]: Simplify K into K
279.399 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
279.399 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.399 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
279.399 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
279.400 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
279.400 * [backup-simplify]: Simplify (- 0) into 0
279.400 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
279.400 * [backup-simplify]: Simplify (* 1 1) into 1
279.400 * [backup-simplify]: Simplify (* 1 1) into 1
279.400 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.401 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
279.401 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 4)) into (/ 1 (pow (cos (/ 1/2 K)) 4))
279.401 * [backup-simplify]: Simplify (* 1/16 (/ 1 (pow (cos (/ 1/2 K)) 4))) into (/ 1/16 (pow (cos (/ 1/2 K)) 4))
279.401 * [backup-simplify]: Simplify (log (/ 1/16 (pow (cos (/ 1/2 K)) 4))) into (log (/ 1/16 (pow (cos (/ 1/2 K)) 4)))
279.401 * [taylor]: Taking taylor expansion of (* 4 (log U)) in J
279.401 * [taylor]: Taking taylor expansion of 4 in J
279.401 * [backup-simplify]: Simplify 4 into 4
279.401 * [taylor]: Taking taylor expansion of (log U) in J
279.401 * [taylor]: Taking taylor expansion of U in J
279.401 * [backup-simplify]: Simplify U into U
279.401 * [backup-simplify]: Simplify (log U) into (log U)
279.401 * [backup-simplify]: Simplify (+ (* (- -4) (log J)) (log (/ 1/16 (pow (cos (/ 1/2 K)) 4)))) into (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ 1/2 K)) 4))))
279.401 * [backup-simplify]: Simplify (* 4 (log U)) into (* 4 (log U))
279.401 * [backup-simplify]: Simplify (- (* 4 (log U))) into (- (* 4 (log U)))
279.402 * [backup-simplify]: Simplify (+ (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ 1/2 K)) 4)))) (- (* 4 (log U)))) into (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U)))
279.402 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U)))) into (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))
279.402 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) into (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U)))))
279.402 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) into (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U)))))
279.402 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
279.402 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
279.403 * [backup-simplify]: Simplify (+ 0) into 0
279.403 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
279.403 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
279.404 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
279.404 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
279.405 * [backup-simplify]: Simplify (- 0) into 0
279.405 * [backup-simplify]: Simplify (+ 0 0) into 0
279.405 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
279.405 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
279.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
279.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
279.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 4))) into 0
279.406 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
279.407 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) into 0
279.407 * [backup-simplify]: Simplify (+ 0 0) into 0
279.407 * [backup-simplify]: Simplify (+ 0 0) into 0
279.408 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 1)))) 1) into 0
279.408 * [backup-simplify]: Simplify (+ (* (- 4) (log U)) (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))) into (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U)))
279.409 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) into 0
279.409 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
279.409 * [taylor]: Taking taylor expansion of 0 in K
279.409 * [backup-simplify]: Simplify 0 into 0
279.409 * [taylor]: Taking taylor expansion of 0 in J
279.409 * [backup-simplify]: Simplify 0 into 0
279.409 * [backup-simplify]: Simplify 0 into 0
279.409 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
279.410 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
279.410 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
279.410 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
279.410 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
279.410 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) into 0
279.411 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 1)))) 1) into 0
279.412 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
279.412 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (log U))) into 0
279.412 * [backup-simplify]: Simplify (- 0) into 0
279.412 * [backup-simplify]: Simplify (+ 0 0) into 0
279.413 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) into 0
279.414 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
279.414 * [taylor]: Taking taylor expansion of 0 in J
279.414 * [backup-simplify]: Simplify 0 into 0
279.414 * [backup-simplify]: Simplify 0 into 0
279.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
279.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
279.415 * [backup-simplify]: Simplify (+ 0) into 0
279.415 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
279.415 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
279.416 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
279.416 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
279.416 * [backup-simplify]: Simplify (- 0) into 0
279.416 * [backup-simplify]: Simplify (+ 0 0) into 0
279.416 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
279.417 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
279.417 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
279.417 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 4)))) into 0
279.418 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/16 (pow (cos (/ 1/2 K)) 4)) 1)))) 1) into 0
279.418 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
279.418 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (log U))) into 0
279.419 * [backup-simplify]: Simplify (- 0) into 0
279.419 * [backup-simplify]: Simplify (+ 0 0) into 0
279.419 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) into 0
279.420 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
279.420 * [backup-simplify]: Simplify 0 into 0
279.420 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
279.421 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
279.421 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
279.422 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
279.422 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
279.422 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
279.423 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
279.423 * [backup-simplify]: Simplify (- 0) into 0
279.423 * [backup-simplify]: Simplify (+ 0 0) into 0
279.423 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
279.424 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
279.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
279.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
279.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 4)))) into 0
279.426 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
279.426 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))) into 0
279.426 * [backup-simplify]: Simplify (+ 0 0) into 0
279.427 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
279.427 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))
279.427 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))
279.428 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) 1)) (pow (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 1)))) 2) into (* -4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))
279.428 * [backup-simplify]: Simplify (+ (* (- 4) (log U)) (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))) into (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U)))
279.429 * [backup-simplify]: Simplify (+ (* 1/4 (* -4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U)))))) into (- (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))
279.430 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1) 1)))) into (* -1 (/ (* (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)))
279.430 * [taylor]: Taking taylor expansion of (* -1 (/ (* (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) in K
279.430 * [taylor]: Taking taylor expansion of -1 in K
279.430 * [backup-simplify]: Simplify -1 into -1
279.430 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in K
279.430 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) (pow (cos (/ 1/2 K)) 2)) in K
279.430 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) in K
279.430 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U)))) in K
279.430 * [taylor]: Taking taylor expansion of 1/4 in K
279.430 * [backup-simplify]: Simplify 1/4 into 1/4
279.430 * [taylor]: Taking taylor expansion of (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))) in K
279.430 * [taylor]: Taking taylor expansion of (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) in K
279.430 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) in K
279.430 * [taylor]: Taking taylor expansion of 1/16 in K
279.430 * [backup-simplify]: Simplify 1/16 into 1/16
279.430 * [taylor]: Taking taylor expansion of (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) in K
279.430 * [taylor]: Taking taylor expansion of (pow J 4) in K
279.430 * [taylor]: Taking taylor expansion of J in K
279.430 * [backup-simplify]: Simplify J into J
279.430 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in K
279.430 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
279.430 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
279.430 * [taylor]: Taking taylor expansion of 1/2 in K
279.430 * [backup-simplify]: Simplify 1/2 into 1/2
279.430 * [taylor]: Taking taylor expansion of K in K
279.430 * [backup-simplify]: Simplify 0 into 0
279.430 * [backup-simplify]: Simplify 1 into 1
279.430 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
279.430 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.430 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.430 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.431 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.431 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
279.431 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))
279.431 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))
279.431 * [backup-simplify]: Simplify (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) into (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))
279.431 * [taylor]: Taking taylor expansion of (* 4 (log U)) in K
279.431 * [taylor]: Taking taylor expansion of 4 in K
279.431 * [backup-simplify]: Simplify 4 into 4
279.431 * [taylor]: Taking taylor expansion of (log U) in K
279.431 * [taylor]: Taking taylor expansion of U in K
279.431 * [backup-simplify]: Simplify U into U
279.431 * [backup-simplify]: Simplify (log U) into (log U)
279.431 * [backup-simplify]: Simplify (* 4 (log U)) into (* 4 (log U))
279.431 * [backup-simplify]: Simplify (- (* 4 (log U))) into (- (* 4 (log U)))
279.431 * [backup-simplify]: Simplify (+ (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (- (* 4 (log U)))) into (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U)))
279.432 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U)))) into (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))
279.432 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) into (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U)))))
279.432 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
279.432 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
279.432 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
279.432 * [taylor]: Taking taylor expansion of 1/2 in K
279.432 * [backup-simplify]: Simplify 1/2 into 1/2
279.432 * [taylor]: Taking taylor expansion of K in K
279.432 * [backup-simplify]: Simplify 0 into 0
279.432 * [backup-simplify]: Simplify 1 into 1
279.432 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
279.432 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.432 * [taylor]: Taking taylor expansion of (pow J 2) in K
279.432 * [taylor]: Taking taylor expansion of J in K
279.432 * [backup-simplify]: Simplify J into J
279.432 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.433 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) (pow (cos (/ 1/2 K)) 2))
279.433 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.433 * [backup-simplify]: Simplify (/ (* (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) into (/ (* (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))
279.433 * [backup-simplify]: Simplify (* -1 (/ (* (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) into (* -1 (/ (* (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)))
279.433 * [taylor]: Taking taylor expansion of (* -1 (/ (* (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) in J
279.433 * [taylor]: Taking taylor expansion of -1 in J
279.433 * [backup-simplify]: Simplify -1 into -1
279.433 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J
279.433 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J
279.433 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) in J
279.433 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U)))) in J
279.433 * [taylor]: Taking taylor expansion of 1/4 in J
279.433 * [backup-simplify]: Simplify 1/4 into 1/4
279.433 * [taylor]: Taking taylor expansion of (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))) in J
279.433 * [taylor]: Taking taylor expansion of (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) in J
279.433 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) in J
279.433 * [taylor]: Taking taylor expansion of 1/16 in J
279.433 * [backup-simplify]: Simplify 1/16 into 1/16
279.433 * [taylor]: Taking taylor expansion of (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) in J
279.433 * [taylor]: Taking taylor expansion of (pow J 4) in J
279.433 * [taylor]: Taking taylor expansion of J in J
279.433 * [backup-simplify]: Simplify 0 into 0
279.433 * [backup-simplify]: Simplify 1 into 1
279.433 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 4) in J
279.433 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
279.433 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
279.434 * [taylor]: Taking taylor expansion of 1/2 in J
279.434 * [backup-simplify]: Simplify 1/2 into 1/2
279.434 * [taylor]: Taking taylor expansion of K in J
279.434 * [backup-simplify]: Simplify K into K
279.434 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
279.434 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.434 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
279.434 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
279.434 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
279.434 * [backup-simplify]: Simplify (- 0) into 0
279.434 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
279.434 * [backup-simplify]: Simplify (* 1 1) into 1
279.435 * [backup-simplify]: Simplify (* 1 1) into 1
279.435 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.435 * [backup-simplify]: Simplify (* (pow (cos (/ 1/2 K)) 2) (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 4)
279.435 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 4)) into (/ 1 (pow (cos (/ 1/2 K)) 4))
279.435 * [backup-simplify]: Simplify (* 1/16 (/ 1 (pow (cos (/ 1/2 K)) 4))) into (/ 1/16 (pow (cos (/ 1/2 K)) 4))
279.435 * [backup-simplify]: Simplify (log (/ 1/16 (pow (cos (/ 1/2 K)) 4))) into (log (/ 1/16 (pow (cos (/ 1/2 K)) 4)))
279.435 * [taylor]: Taking taylor expansion of (* 4 (log U)) in J
279.435 * [taylor]: Taking taylor expansion of 4 in J
279.435 * [backup-simplify]: Simplify 4 into 4
279.435 * [taylor]: Taking taylor expansion of (log U) in J
279.435 * [taylor]: Taking taylor expansion of U in J
279.435 * [backup-simplify]: Simplify U into U
279.435 * [backup-simplify]: Simplify (log U) into (log U)
279.435 * [backup-simplify]: Simplify (+ (* (- -4) (log J)) (log (/ 1/16 (pow (cos (/ 1/2 K)) 4)))) into (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ 1/2 K)) 4))))
279.436 * [backup-simplify]: Simplify (* 4 (log U)) into (* 4 (log U))
279.436 * [backup-simplify]: Simplify (- (* 4 (log U))) into (- (* 4 (log U)))
279.436 * [backup-simplify]: Simplify (+ (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ 1/2 K)) 4)))) (- (* 4 (log U)))) into (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U)))
279.436 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U)))) into (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))
279.436 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) into (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U)))))
279.436 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
279.436 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
279.436 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
279.436 * [taylor]: Taking taylor expansion of 1/2 in J
279.436 * [backup-simplify]: Simplify 1/2 into 1/2
279.436 * [taylor]: Taking taylor expansion of K in J
279.436 * [backup-simplify]: Simplify K into K
279.436 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
279.436 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
279.436 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
279.436 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
279.436 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
279.437 * [backup-simplify]: Simplify (- 0) into 0
279.437 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
279.437 * [taylor]: Taking taylor expansion of (pow J 2) in J
279.437 * [taylor]: Taking taylor expansion of J in J
279.437 * [backup-simplify]: Simplify 0 into 0
279.437 * [backup-simplify]: Simplify 1 into 1
279.437 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
279.437 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) (pow (cos (/ 1/2 K)) 2))
279.437 * [backup-simplify]: Simplify (* 1 1) into 1
279.438 * [backup-simplify]: Simplify (/ (* (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) (pow (cos (/ 1/2 K)) 2))
279.438 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
279.438 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
279.438 * [backup-simplify]: Simplify (+ 0) into 0
279.439 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
279.439 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
279.439 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
279.440 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
279.440 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
279.441 * [backup-simplify]: Simplify (- 0) into 0
279.441 * [backup-simplify]: Simplify (+ 0 0) into 0
279.441 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
279.441 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
279.442 * [backup-simplify]: Simplify (- 0) into 0
279.442 * [backup-simplify]: Simplify (+ 0 0) into 0
279.442 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
279.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
279.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
279.443 * [backup-simplify]: Simplify (+ 0) into 0
279.444 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
279.444 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
279.444 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
279.444 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
279.445 * [backup-simplify]: Simplify (- 0) into 0
279.445 * [backup-simplify]: Simplify (+ 0 0) into 0
279.445 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
279.445 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
279.445 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
279.446 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 4)))) into 0
279.446 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/16 (pow (cos (/ 1/2 K)) 4)) 1)))) 1) into 0
279.447 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
279.447 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (log U))) into 0
279.447 * [backup-simplify]: Simplify (- 0) into 0
279.447 * [backup-simplify]: Simplify (+ 0 0) into 0
279.448 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) into 0
279.448 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
279.449 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
279.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
279.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
279.450 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
279.451 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
279.451 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
279.452 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
279.452 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
279.453 * [backup-simplify]: Simplify (- 0) into 0
279.453 * [backup-simplify]: Simplify (+ 0 0) into 0
279.453 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
279.454 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
279.454 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
279.455 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 4))))) into 0
279.457 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/16 (pow (cos (/ 1/2 K)) 4)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/16 (pow (cos (/ 1/2 K)) 4)) 1)))) 2) into 0
279.459 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
279.459 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log U)))) into 0
279.459 * [backup-simplify]: Simplify (- 0) into 0
279.460 * [backup-simplify]: Simplify (+ 0 0) into 0
279.460 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U)))))) into 0
279.461 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
279.462 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
279.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
279.463 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
279.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
279.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0
279.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
279.465 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (* (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) (pow (cos (/ 1/2 K)) 2))))) into 0
279.466 * [backup-simplify]: Simplify 0 into 0
279.466 * [taylor]: Taking taylor expansion of 0 in J
279.466 * [backup-simplify]: Simplify 0 into 0
279.466 * [backup-simplify]: Simplify 0 into 0
279.466 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
279.466 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
279.467 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
279.467 * [backup-simplify]: Simplify (+ (* (pow (cos (/ 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
279.467 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)) (/ 0 (pow (cos (/ 1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 4))))) into 0
279.468 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))))) into 0
279.469 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4))) 1)))) 2) into 0
279.470 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
279.471 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log U)))) into 0
279.471 * [backup-simplify]: Simplify (- 0) into 0
279.471 * [backup-simplify]: Simplify (+ 0 0) into 0
279.472 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U)))))) into 0
279.473 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ 1/2 K)) 4)))) (* 4 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
279.473 * [taylor]: Taking taylor expansion of 0 in J
279.473 * [backup-simplify]: Simplify 0 into 0
279.473 * [backup-simplify]: Simplify 0 into 0
279.473 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 4 (log (/ 1 J))) (log (/ 1/16 (pow (cos (/ 1/2 (/ 1 K))) 4)))) (* 4 (log (/ 1 U)))))) into (exp (* 1/4 (- (+ (log (/ 1/16 (pow (cos (* 1/2 K)) 4))) (* 4 (log (/ 1 J)))) (* 4 (log (/ 1 U))))))
279.474 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))))) (- (* 1 1) (* (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1))))) into (pow (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4)
279.474 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in (U K J) around 0
279.474 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in J
279.475 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J
279.475 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J
279.475 * [taylor]: Taking taylor expansion of 1/4 in J
279.475 * [backup-simplify]: Simplify 1/4 into 1/4
279.475 * [taylor]: Taking taylor expansion of (log (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
279.475 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
279.475 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in J
279.475 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in J
279.475 * [taylor]: Taking taylor expansion of 1/16 in J
279.475 * [backup-simplify]: Simplify 1/16 into 1/16
279.475 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in J
279.475 * [taylor]: Taking taylor expansion of (pow J 4) in J
279.475 * [taylor]: Taking taylor expansion of J in J
279.475 * [backup-simplify]: Simplify 0 into 0
279.475 * [backup-simplify]: Simplify 1 into 1
279.475 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in J
279.475 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in J
279.475 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
279.475 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
279.475 * [taylor]: Taking taylor expansion of -1/2 in J
279.475 * [backup-simplify]: Simplify -1/2 into -1/2
279.475 * [taylor]: Taking taylor expansion of K in J
279.475 * [backup-simplify]: Simplify K into K
279.475 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
279.475 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.475 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
279.475 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
279.475 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
279.476 * [backup-simplify]: Simplify (- 0) into 0
279.476 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
279.476 * [taylor]: Taking taylor expansion of (pow U 4) in J
279.476 * [taylor]: Taking taylor expansion of U in J
279.476 * [backup-simplify]: Simplify U into U
279.476 * [backup-simplify]: Simplify (* 1 1) into 1
279.477 * [backup-simplify]: Simplify (* 1 1) into 1
279.477 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.477 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
279.477 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.477 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
279.477 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) into (* (pow (cos (/ -1/2 K)) 4) (pow U 4))
279.477 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) into (/ 1 (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))
279.477 * [taylor]: Taking taylor expansion of 1 in J
279.477 * [backup-simplify]: Simplify 1 into 1
279.477 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
279.477 * [taylor]: Taking taylor expansion of 1/4 in J
279.477 * [backup-simplify]: Simplify 1/4 into 1/4
279.477 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
279.477 * [taylor]: Taking taylor expansion of (pow J 2) in J
279.477 * [taylor]: Taking taylor expansion of J in J
279.477 * [backup-simplify]: Simplify 0 into 0
279.477 * [backup-simplify]: Simplify 1 into 1
279.477 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
279.477 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
279.477 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
279.477 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
279.477 * [taylor]: Taking taylor expansion of -1/2 in J
279.477 * [backup-simplify]: Simplify -1/2 into -1/2
279.477 * [taylor]: Taking taylor expansion of K in J
279.477 * [backup-simplify]: Simplify K into K
279.477 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
279.477 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.477 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
279.477 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
279.477 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
279.478 * [backup-simplify]: Simplify (- 0) into 0
279.478 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
279.478 * [taylor]: Taking taylor expansion of (pow U 2) in J
279.478 * [taylor]: Taking taylor expansion of U in J
279.478 * [backup-simplify]: Simplify U into U
279.478 * [backup-simplify]: Simplify (* 1 1) into 1
279.478 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.478 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.478 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
279.478 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
279.479 * [backup-simplify]: Simplify (+ 0 1) into 1
279.479 * [backup-simplify]: Simplify (+ 1 0) into 1
279.479 * [backup-simplify]: Simplify (log 1) into 0
279.479 * [backup-simplify]: Simplify (* 1/4 0) into 0
279.480 * [backup-simplify]: Simplify (+ 0 0) into 0
279.480 * [backup-simplify]: Simplify (+ 0 0) into 0
279.481 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
279.481 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0
279.481 * [backup-simplify]: Simplify (+ 0 0) into 0
279.482 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
279.482 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
279.482 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
279.483 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 1)) (pow 1 1)))) 2) into (/ -1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
279.484 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (- (* 1/16 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
279.484 * [backup-simplify]: Simplify (exp 0) into 1
279.484 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in K
279.484 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K
279.484 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K
279.484 * [taylor]: Taking taylor expansion of 1/4 in K
279.484 * [backup-simplify]: Simplify 1/4 into 1/4
279.484 * [taylor]: Taking taylor expansion of (log (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
279.484 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
279.484 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in K
279.484 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in K
279.484 * [taylor]: Taking taylor expansion of 1/16 in K
279.484 * [backup-simplify]: Simplify 1/16 into 1/16
279.484 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in K
279.484 * [taylor]: Taking taylor expansion of (pow J 4) in K
279.484 * [taylor]: Taking taylor expansion of J in K
279.484 * [backup-simplify]: Simplify J into J
279.484 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in K
279.484 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in K
279.484 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
279.484 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
279.484 * [taylor]: Taking taylor expansion of -1/2 in K
279.484 * [backup-simplify]: Simplify -1/2 into -1/2
279.484 * [taylor]: Taking taylor expansion of K in K
279.484 * [backup-simplify]: Simplify 0 into 0
279.484 * [backup-simplify]: Simplify 1 into 1
279.484 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
279.484 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.484 * [taylor]: Taking taylor expansion of (pow U 4) in K
279.484 * [taylor]: Taking taylor expansion of U in K
279.484 * [backup-simplify]: Simplify U into U
279.484 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.484 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.485 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.485 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
279.485 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.485 * [backup-simplify]: Simplify (* (pow U 2) (pow U 2)) into (pow U 4)
279.485 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) into (* (pow (cos (/ -1/2 K)) 4) (pow U 4))
279.485 * [backup-simplify]: Simplify (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) into (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))
279.485 * [taylor]: Taking taylor expansion of 1 in K
279.485 * [backup-simplify]: Simplify 1 into 1
279.485 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
279.485 * [taylor]: Taking taylor expansion of 1/4 in K
279.485 * [backup-simplify]: Simplify 1/4 into 1/4
279.485 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
279.485 * [taylor]: Taking taylor expansion of (pow J 2) in K
279.485 * [taylor]: Taking taylor expansion of J in K
279.485 * [backup-simplify]: Simplify J into J
279.485 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
279.485 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
279.485 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
279.485 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
279.485 * [taylor]: Taking taylor expansion of -1/2 in K
279.485 * [backup-simplify]: Simplify -1/2 into -1/2
279.485 * [taylor]: Taking taylor expansion of K in K
279.485 * [backup-simplify]: Simplify 0 into 0
279.485 * [backup-simplify]: Simplify 1 into 1
279.486 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
279.486 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.486 * [taylor]: Taking taylor expansion of (pow U 2) in K
279.486 * [taylor]: Taking taylor expansion of U in K
279.486 * [backup-simplify]: Simplify U into U
279.486 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.486 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.486 * [backup-simplify]: Simplify (* U U) into (pow U 2)
279.486 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
279.486 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
279.486 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) into (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))))
279.486 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) into (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1)
279.487 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
279.487 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (- (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
279.488 * [backup-simplify]: Simplify (+ (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (- (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
279.489 * [backup-simplify]: Simplify (log (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (log (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
279.490 * [backup-simplify]: Simplify (* 1/4 (log (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/4 (log (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))
279.491 * [backup-simplify]: Simplify (exp (* 1/4 (log (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (pow (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4)
279.491 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U
279.491 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
279.491 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
279.491 * [taylor]: Taking taylor expansion of 1/4 in U
279.491 * [backup-simplify]: Simplify 1/4 into 1/4
279.491 * [taylor]: Taking taylor expansion of (log (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
279.491 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
279.491 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in U
279.491 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in U
279.491 * [taylor]: Taking taylor expansion of 1/16 in U
279.491 * [backup-simplify]: Simplify 1/16 into 1/16
279.491 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in U
279.491 * [taylor]: Taking taylor expansion of (pow J 4) in U
279.491 * [taylor]: Taking taylor expansion of J in U
279.491 * [backup-simplify]: Simplify J into J
279.491 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in U
279.491 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in U
279.491 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
279.491 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
279.491 * [taylor]: Taking taylor expansion of -1/2 in U
279.491 * [backup-simplify]: Simplify -1/2 into -1/2
279.491 * [taylor]: Taking taylor expansion of K in U
279.491 * [backup-simplify]: Simplify K into K
279.492 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
279.492 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.492 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
279.492 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
279.492 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
279.497 * [backup-simplify]: Simplify (- 0) into 0
279.497 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
279.497 * [taylor]: Taking taylor expansion of (pow U 4) in U
279.497 * [taylor]: Taking taylor expansion of U in U
279.497 * [backup-simplify]: Simplify 0 into 0
279.497 * [backup-simplify]: Simplify 1 into 1
279.497 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.497 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.497 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.498 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
279.498 * [backup-simplify]: Simplify (* 1 1) into 1
279.498 * [backup-simplify]: Simplify (* 1 1) into 1
279.498 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) 1) into (pow (cos (/ -1/2 K)) 4)
279.498 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))
279.498 * [taylor]: Taking taylor expansion of 1 in U
279.499 * [backup-simplify]: Simplify 1 into 1
279.499 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
279.499 * [taylor]: Taking taylor expansion of 1/4 in U
279.499 * [backup-simplify]: Simplify 1/4 into 1/4
279.499 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
279.499 * [taylor]: Taking taylor expansion of (pow J 2) in U
279.499 * [taylor]: Taking taylor expansion of J in U
279.499 * [backup-simplify]: Simplify J into J
279.499 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
279.499 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
279.499 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
279.499 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
279.499 * [taylor]: Taking taylor expansion of -1/2 in U
279.499 * [backup-simplify]: Simplify -1/2 into -1/2
279.499 * [taylor]: Taking taylor expansion of K in U
279.499 * [backup-simplify]: Simplify K into K
279.499 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
279.499 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.499 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
279.499 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
279.499 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
279.499 * [backup-simplify]: Simplify (- 0) into 0
279.499 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
279.499 * [taylor]: Taking taylor expansion of (pow U 2) in U
279.499 * [taylor]: Taking taylor expansion of U in U
279.499 * [backup-simplify]: Simplify 0 into 0
279.499 * [backup-simplify]: Simplify 1 into 1
279.499 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.499 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.500 * [backup-simplify]: Simplify (* 1 1) into 1
279.500 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
279.500 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
279.500 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
279.500 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
279.500 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
279.500 * [backup-simplify]: Simplify (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) into (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))
279.501 * [backup-simplify]: Simplify (+ (* (- 4) (log U)) (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))) into (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))
279.501 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))) into (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))))
279.501 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))))) into (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))))
279.501 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U
279.501 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
279.501 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
279.501 * [taylor]: Taking taylor expansion of 1/4 in U
279.501 * [backup-simplify]: Simplify 1/4 into 1/4
279.501 * [taylor]: Taking taylor expansion of (log (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
279.501 * [taylor]: Taking taylor expansion of (- (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
279.501 * [taylor]: Taking taylor expansion of (+ (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) 1) in U
279.501 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4)))) in U
279.501 * [taylor]: Taking taylor expansion of 1/16 in U
279.501 * [backup-simplify]: Simplify 1/16 into 1/16
279.501 * [taylor]: Taking taylor expansion of (/ (pow J 4) (* (pow (cos (/ -1/2 K)) 4) (pow U 4))) in U
279.501 * [taylor]: Taking taylor expansion of (pow J 4) in U
279.502 * [taylor]: Taking taylor expansion of J in U
279.502 * [backup-simplify]: Simplify J into J
279.502 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 4) (pow U 4)) in U
279.502 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in U
279.502 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
279.502 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
279.502 * [taylor]: Taking taylor expansion of -1/2 in U
279.502 * [backup-simplify]: Simplify -1/2 into -1/2
279.502 * [taylor]: Taking taylor expansion of K in U
279.502 * [backup-simplify]: Simplify K into K
279.502 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
279.502 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.502 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
279.502 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
279.502 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
279.502 * [backup-simplify]: Simplify (- 0) into 0
279.502 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
279.502 * [taylor]: Taking taylor expansion of (pow U 4) in U
279.502 * [taylor]: Taking taylor expansion of U in U
279.502 * [backup-simplify]: Simplify 0 into 0
279.502 * [backup-simplify]: Simplify 1 into 1
279.502 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.502 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.502 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.503 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
279.503 * [backup-simplify]: Simplify (* 1 1) into 1
279.503 * [backup-simplify]: Simplify (* 1 1) into 1
279.503 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 4) 1) into (pow (cos (/ -1/2 K)) 4)
279.503 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))
279.503 * [taylor]: Taking taylor expansion of 1 in U
279.503 * [backup-simplify]: Simplify 1 into 1
279.503 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
279.503 * [taylor]: Taking taylor expansion of 1/4 in U
279.503 * [backup-simplify]: Simplify 1/4 into 1/4
279.503 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
279.503 * [taylor]: Taking taylor expansion of (pow J 2) in U
279.503 * [taylor]: Taking taylor expansion of J in U
279.503 * [backup-simplify]: Simplify J into J
279.503 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
279.503 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
279.503 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
279.503 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
279.503 * [taylor]: Taking taylor expansion of -1/2 in U
279.503 * [backup-simplify]: Simplify -1/2 into -1/2
279.503 * [taylor]: Taking taylor expansion of K in U
279.503 * [backup-simplify]: Simplify K into K
279.504 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
279.504 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.504 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
279.504 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
279.504 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
279.504 * [backup-simplify]: Simplify (- 0) into 0
279.504 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
279.504 * [taylor]: Taking taylor expansion of (pow U 2) in U
279.504 * [taylor]: Taking taylor expansion of U in U
279.504 * [backup-simplify]: Simplify 0 into 0
279.504 * [backup-simplify]: Simplify 1 into 1
279.504 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.504 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.504 * [backup-simplify]: Simplify (* 1 1) into 1
279.505 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
279.505 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
279.505 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
279.505 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
279.505 * [backup-simplify]: Simplify (+ (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 0) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
279.505 * [backup-simplify]: Simplify (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) into (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))
279.506 * [backup-simplify]: Simplify (+ (* (- 4) (log U)) (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))) into (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))
279.506 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))) into (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))))
279.506 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))))) into (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))))
279.506 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))))) in K
279.506 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))) in K
279.506 * [taylor]: Taking taylor expansion of 1/4 in K
279.506 * [backup-simplify]: Simplify 1/4 into 1/4
279.506 * [taylor]: Taking taylor expansion of (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))) in K
279.506 * [taylor]: Taking taylor expansion of (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) in K
279.506 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) in K
279.506 * [taylor]: Taking taylor expansion of 1/16 in K
279.506 * [backup-simplify]: Simplify 1/16 into 1/16
279.506 * [taylor]: Taking taylor expansion of (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) in K
279.506 * [taylor]: Taking taylor expansion of (pow J 4) in K
279.506 * [taylor]: Taking taylor expansion of J in K
279.506 * [backup-simplify]: Simplify J into J
279.506 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in K
279.506 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
279.506 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
279.506 * [taylor]: Taking taylor expansion of -1/2 in K
279.506 * [backup-simplify]: Simplify -1/2 into -1/2
279.506 * [taylor]: Taking taylor expansion of K in K
279.506 * [backup-simplify]: Simplify 0 into 0
279.506 * [backup-simplify]: Simplify 1 into 1
279.507 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
279.507 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.507 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.507 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.507 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.507 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
279.507 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))
279.507 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
279.507 * [backup-simplify]: Simplify (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) into (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))
279.507 * [taylor]: Taking taylor expansion of (* 4 (log U)) in K
279.507 * [taylor]: Taking taylor expansion of 4 in K
279.507 * [backup-simplify]: Simplify 4 into 4
279.507 * [taylor]: Taking taylor expansion of (log U) in K
279.507 * [taylor]: Taking taylor expansion of U in K
279.507 * [backup-simplify]: Simplify U into U
279.507 * [backup-simplify]: Simplify (log U) into (log U)
279.507 * [backup-simplify]: Simplify (* 4 (log U)) into (* 4 (log U))
279.507 * [backup-simplify]: Simplify (- (* 4 (log U))) into (- (* 4 (log U)))
279.508 * [backup-simplify]: Simplify (+ (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (- (* 4 (log U)))) into (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))
279.508 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))) into (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))))
279.508 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))))) into (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))))
279.508 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))))) in J
279.508 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))) in J
279.508 * [taylor]: Taking taylor expansion of 1/4 in J
279.508 * [backup-simplify]: Simplify 1/4 into 1/4
279.508 * [taylor]: Taking taylor expansion of (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))) in J
279.508 * [taylor]: Taking taylor expansion of (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) in J
279.508 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) in J
279.508 * [taylor]: Taking taylor expansion of 1/16 in J
279.508 * [backup-simplify]: Simplify 1/16 into 1/16
279.508 * [taylor]: Taking taylor expansion of (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) in J
279.508 * [taylor]: Taking taylor expansion of (pow J 4) in J
279.508 * [taylor]: Taking taylor expansion of J in J
279.508 * [backup-simplify]: Simplify 0 into 0
279.508 * [backup-simplify]: Simplify 1 into 1
279.508 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in J
279.508 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
279.508 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
279.508 * [taylor]: Taking taylor expansion of -1/2 in J
279.508 * [backup-simplify]: Simplify -1/2 into -1/2
279.508 * [taylor]: Taking taylor expansion of K in J
279.508 * [backup-simplify]: Simplify K into K
279.508 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
279.508 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.508 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
279.508 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
279.509 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
279.509 * [backup-simplify]: Simplify (- 0) into 0
279.509 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
279.509 * [backup-simplify]: Simplify (* 1 1) into 1
279.509 * [backup-simplify]: Simplify (* 1 1) into 1
279.509 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.510 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
279.510 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 4)) into (/ 1 (pow (cos (/ -1/2 K)) 4))
279.510 * [backup-simplify]: Simplify (* 1/16 (/ 1 (pow (cos (/ -1/2 K)) 4))) into (/ 1/16 (pow (cos (/ -1/2 K)) 4))
279.510 * [backup-simplify]: Simplify (log (/ 1/16 (pow (cos (/ -1/2 K)) 4))) into (log (/ 1/16 (pow (cos (/ -1/2 K)) 4)))
279.510 * [taylor]: Taking taylor expansion of (* 4 (log U)) in J
279.510 * [taylor]: Taking taylor expansion of 4 in J
279.510 * [backup-simplify]: Simplify 4 into 4
279.510 * [taylor]: Taking taylor expansion of (log U) in J
279.510 * [taylor]: Taking taylor expansion of U in J
279.510 * [backup-simplify]: Simplify U into U
279.510 * [backup-simplify]: Simplify (log U) into (log U)
279.510 * [backup-simplify]: Simplify (+ (* (- -4) (log J)) (log (/ 1/16 (pow (cos (/ -1/2 K)) 4)))) into (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ -1/2 K)) 4))))
279.510 * [backup-simplify]: Simplify (* 4 (log U)) into (* 4 (log U))
279.510 * [backup-simplify]: Simplify (- (* 4 (log U))) into (- (* 4 (log U)))
279.510 * [backup-simplify]: Simplify (+ (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ -1/2 K)) 4)))) (- (* 4 (log U)))) into (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))
279.511 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))) into (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))))
279.511 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))))) into (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))))
279.511 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))))) into (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))))
279.511 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
279.511 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
279.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
279.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
279.512 * [backup-simplify]: Simplify (+ 0) into 0
279.513 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
279.513 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
279.513 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
279.513 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
279.514 * [backup-simplify]: Simplify (- 0) into 0
279.514 * [backup-simplify]: Simplify (+ 0 0) into 0
279.514 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
279.514 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
279.515 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (* 0 1)) into 0
279.515 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
279.515 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) into 0
279.515 * [backup-simplify]: Simplify (+ 0 0) into 0
279.516 * [backup-simplify]: Simplify (+ 0 0) into 0
279.516 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 1)))) 1) into 0
279.517 * [backup-simplify]: Simplify (+ (* (- 4) (log U)) (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))) into (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))
279.517 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))))) into 0
279.518 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
279.518 * [taylor]: Taking taylor expansion of 0 in K
279.518 * [backup-simplify]: Simplify 0 into 0
279.518 * [taylor]: Taking taylor expansion of 0 in J
279.518 * [backup-simplify]: Simplify 0 into 0
279.518 * [backup-simplify]: Simplify 0 into 0
279.518 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
279.518 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (* 0 (pow J 2))) into 0
279.518 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
279.518 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
279.518 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
279.519 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) into 0
279.519 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 1)))) 1) into 0
279.520 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
279.520 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (log U))) into 0
279.520 * [backup-simplify]: Simplify (- 0) into 0
279.521 * [backup-simplify]: Simplify (+ 0 0) into 0
279.521 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))))) into 0
279.522 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
279.522 * [taylor]: Taking taylor expansion of 0 in J
279.522 * [backup-simplify]: Simplify 0 into 0
279.522 * [backup-simplify]: Simplify 0 into 0
279.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
279.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
279.523 * [backup-simplify]: Simplify (+ 0) into 0
279.523 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
279.524 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
279.524 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
279.524 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
279.524 * [backup-simplify]: Simplify (- 0) into 0
279.525 * [backup-simplify]: Simplify (+ 0 0) into 0
279.525 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
279.525 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
279.525 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
279.525 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 4)))) into 0
279.526 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/16 (pow (cos (/ -1/2 K)) 4)) 1)))) 1) into 0
279.527 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
279.527 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (log U))) into 0
279.527 * [backup-simplify]: Simplify (- 0) into 0
279.528 * [backup-simplify]: Simplify (+ 0 0) into 0
279.528 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))))) into 0
279.529 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
279.529 * [backup-simplify]: Simplify 0 into 0
279.530 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
279.531 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
279.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
279.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
279.534 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
279.534 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
279.535 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
279.535 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
279.536 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
279.536 * [backup-simplify]: Simplify (- 0) into 0
279.537 * [backup-simplify]: Simplify (+ 0 0) into 0
279.537 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
279.538 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
279.539 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 4) 0) (+ (* 0 0) (* 0 1))) into 0
279.539 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
279.540 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))) into 0
279.541 * [backup-simplify]: Simplify (+ 0 0) into 0
279.541 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
279.541 * [backup-simplify]: Simplify (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))
279.541 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))
279.543 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) 1)) (pow (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 1)))) 2) into (* -4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))
279.544 * [backup-simplify]: Simplify (+ (* (- 4) (log U)) (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))) into (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))
279.545 * [backup-simplify]: Simplify (+ (* 1/4 (* -4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))))) into (- (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))
279.546 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1) 1)))) into (* -1 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))))) (pow J 2)))
279.546 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))))) (pow J 2))) in K
279.546 * [taylor]: Taking taylor expansion of -1 in K
279.546 * [backup-simplify]: Simplify -1 into -1
279.546 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))))) (pow J 2)) in K
279.546 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))))) in K
279.546 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
279.546 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
279.546 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
279.546 * [taylor]: Taking taylor expansion of -1/2 in K
279.546 * [backup-simplify]: Simplify -1/2 into -1/2
279.546 * [taylor]: Taking taylor expansion of K in K
279.546 * [backup-simplify]: Simplify 0 into 0
279.546 * [backup-simplify]: Simplify 1 into 1
279.547 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
279.547 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.547 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))))) in K
279.547 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))) in K
279.547 * [taylor]: Taking taylor expansion of 1/4 in K
279.547 * [backup-simplify]: Simplify 1/4 into 1/4
279.547 * [taylor]: Taking taylor expansion of (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))) in K
279.547 * [taylor]: Taking taylor expansion of (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) in K
279.547 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) in K
279.547 * [taylor]: Taking taylor expansion of 1/16 in K
279.547 * [backup-simplify]: Simplify 1/16 into 1/16
279.547 * [taylor]: Taking taylor expansion of (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) in K
279.547 * [taylor]: Taking taylor expansion of (pow J 4) in K
279.547 * [taylor]: Taking taylor expansion of J in K
279.547 * [backup-simplify]: Simplify J into J
279.547 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in K
279.547 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
279.547 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
279.547 * [taylor]: Taking taylor expansion of -1/2 in K
279.547 * [backup-simplify]: Simplify -1/2 into -1/2
279.547 * [taylor]: Taking taylor expansion of K in K
279.547 * [backup-simplify]: Simplify 0 into 0
279.547 * [backup-simplify]: Simplify 1 into 1
279.548 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
279.548 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.548 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.548 * [backup-simplify]: Simplify (* (pow J 2) (pow J 2)) into (pow J 4)
279.548 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.548 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
279.549 * [backup-simplify]: Simplify (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) into (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))
279.549 * [backup-simplify]: Simplify (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) into (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))
279.549 * [backup-simplify]: Simplify (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) into (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))
279.549 * [taylor]: Taking taylor expansion of (* 4 (log U)) in K
279.549 * [taylor]: Taking taylor expansion of 4 in K
279.549 * [backup-simplify]: Simplify 4 into 4
279.549 * [taylor]: Taking taylor expansion of (log U) in K
279.549 * [taylor]: Taking taylor expansion of U in K
279.549 * [backup-simplify]: Simplify U into U
279.549 * [backup-simplify]: Simplify (log U) into (log U)
279.549 * [backup-simplify]: Simplify (* 4 (log U)) into (* 4 (log U))
279.549 * [backup-simplify]: Simplify (- (* 4 (log U))) into (- (* 4 (log U)))
279.550 * [backup-simplify]: Simplify (+ (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (- (* 4 (log U)))) into (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))
279.550 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))) into (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))))
279.550 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))))) into (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))))
279.550 * [taylor]: Taking taylor expansion of (pow J 2) in K
279.550 * [taylor]: Taking taylor expansion of J in K
279.550 * [backup-simplify]: Simplify J into J
279.551 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.551 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))))))
279.551 * [backup-simplify]: Simplify (* J J) into (pow J 2)
279.552 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))))) (pow J 2)) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))))) (pow J 2))
279.552 * [backup-simplify]: Simplify (* -1 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))))) (pow J 2))) into (* -1 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))))) (pow J 2)))
279.552 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))))) (pow J 2))) in J
279.552 * [taylor]: Taking taylor expansion of -1 in J
279.552 * [backup-simplify]: Simplify -1 into -1
279.552 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))))) (pow J 2)) in J
279.552 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))))) in J
279.552 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
279.552 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
279.552 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
279.552 * [taylor]: Taking taylor expansion of -1/2 in J
279.552 * [backup-simplify]: Simplify -1/2 into -1/2
279.552 * [taylor]: Taking taylor expansion of K in J
279.552 * [backup-simplify]: Simplify K into K
279.553 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
279.553 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.553 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
279.553 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
279.553 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
279.554 * [backup-simplify]: Simplify (- 0) into 0
279.554 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
279.554 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))))) in J
279.554 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))) in J
279.554 * [taylor]: Taking taylor expansion of 1/4 in J
279.554 * [backup-simplify]: Simplify 1/4 into 1/4
279.554 * [taylor]: Taking taylor expansion of (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))) in J
279.554 * [taylor]: Taking taylor expansion of (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) in J
279.554 * [taylor]: Taking taylor expansion of (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) in J
279.554 * [taylor]: Taking taylor expansion of 1/16 in J
279.554 * [backup-simplify]: Simplify 1/16 into 1/16
279.554 * [taylor]: Taking taylor expansion of (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) in J
279.554 * [taylor]: Taking taylor expansion of (pow J 4) in J
279.554 * [taylor]: Taking taylor expansion of J in J
279.554 * [backup-simplify]: Simplify 0 into 0
279.554 * [backup-simplify]: Simplify 1 into 1
279.554 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 4) in J
279.554 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
279.554 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
279.554 * [taylor]: Taking taylor expansion of -1/2 in J
279.554 * [backup-simplify]: Simplify -1/2 into -1/2
279.554 * [taylor]: Taking taylor expansion of K in J
279.554 * [backup-simplify]: Simplify K into K
279.554 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
279.554 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
279.554 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
279.555 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
279.555 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
279.555 * [backup-simplify]: Simplify (- 0) into 0
279.555 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
279.556 * [backup-simplify]: Simplify (* 1 1) into 1
279.556 * [backup-simplify]: Simplify (* 1 1) into 1
279.556 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.556 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow (cos (/ -1/2 K)) 2)) into (pow (cos (/ -1/2 K)) 4)
279.556 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 4)) into (/ 1 (pow (cos (/ -1/2 K)) 4))
279.557 * [backup-simplify]: Simplify (* 1/16 (/ 1 (pow (cos (/ -1/2 K)) 4))) into (/ 1/16 (pow (cos (/ -1/2 K)) 4))
279.557 * [backup-simplify]: Simplify (log (/ 1/16 (pow (cos (/ -1/2 K)) 4))) into (log (/ 1/16 (pow (cos (/ -1/2 K)) 4)))
279.557 * [taylor]: Taking taylor expansion of (* 4 (log U)) in J
279.557 * [taylor]: Taking taylor expansion of 4 in J
279.557 * [backup-simplify]: Simplify 4 into 4
279.557 * [taylor]: Taking taylor expansion of (log U) in J
279.557 * [taylor]: Taking taylor expansion of U in J
279.557 * [backup-simplify]: Simplify U into U
279.557 * [backup-simplify]: Simplify (log U) into (log U)
279.557 * [backup-simplify]: Simplify (+ (* (- -4) (log J)) (log (/ 1/16 (pow (cos (/ -1/2 K)) 4)))) into (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ -1/2 K)) 4))))
279.558 * [backup-simplify]: Simplify (* 4 (log U)) into (* 4 (log U))
279.558 * [backup-simplify]: Simplify (- (* 4 (log U))) into (- (* 4 (log U)))
279.558 * [backup-simplify]: Simplify (+ (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ -1/2 K)) 4)))) (- (* 4 (log U)))) into (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))
279.558 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))) into (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))))
279.559 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))))) into (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))))
279.559 * [taylor]: Taking taylor expansion of (pow J 2) in J
279.559 * [taylor]: Taking taylor expansion of J in J
279.559 * [backup-simplify]: Simplify 0 into 0
279.559 * [backup-simplify]: Simplify 1 into 1
279.559 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
279.559 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))))))
279.560 * [backup-simplify]: Simplify (* 1 1) into 1
279.560 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))))))
279.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
279.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
279.562 * [backup-simplify]: Simplify (+ 0) into 0
279.562 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
279.562 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
279.563 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
279.564 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
279.564 * [backup-simplify]: Simplify (- 0) into 0
279.564 * [backup-simplify]: Simplify (+ 0 0) into 0
279.565 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
279.565 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
279.565 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
279.566 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 4)))) into 0
279.567 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/16 (pow (cos (/ -1/2 K)) 4)) 1)))) 1) into 0
279.567 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
279.568 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (log U))) into 0
279.568 * [backup-simplify]: Simplify (- 0) into 0
279.569 * [backup-simplify]: Simplify (+ 0 0) into 0
279.569 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))))) into 0
279.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
279.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
279.573 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
279.573 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
279.573 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
279.574 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
279.575 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
279.575 * [backup-simplify]: Simplify (- 0) into 0
279.576 * [backup-simplify]: Simplify (+ 0 0) into 0
279.576 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
279.577 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
279.577 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
279.578 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 4))))) into 0
279.580 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/16 (pow (cos (/ -1/2 K)) 4)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/16 (pow (cos (/ -1/2 K)) 4)) 1)))) 2) into 0
279.581 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
279.582 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log U)))) into 0
279.583 * [backup-simplify]: Simplify (- 0) into 0
279.583 * [backup-simplify]: Simplify (+ 0 0) into 0
279.584 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))))) into 0
279.586 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
279.586 * [backup-simplify]: Simplify (+ 0) into 0
279.587 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
279.587 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
279.588 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
279.588 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
279.588 * [backup-simplify]: Simplify (- 0) into 0
279.589 * [backup-simplify]: Simplify (+ 0 0) into 0
279.589 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
279.590 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
279.591 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
279.592 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
279.592 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
279.593 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
279.593 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
279.594 * [backup-simplify]: Simplify (- 0) into 0
279.594 * [backup-simplify]: Simplify (+ 0 0) into 0
279.595 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
279.595 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))))))) into 0
279.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
279.597 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))))))) into 0
279.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
279.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))))) (/ 0 1)))) into 0
279.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
279.602 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 4 (log J)) (log (/ 1/16 (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))))))))) into 0
279.602 * [backup-simplify]: Simplify 0 into 0
279.602 * [taylor]: Taking taylor expansion of 0 in J
279.602 * [backup-simplify]: Simplify 0 into 0
279.602 * [backup-simplify]: Simplify 0 into 0
279.602 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
279.603 * [backup-simplify]: Simplify (+ (* (pow J 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
279.603 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
279.604 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
279.604 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 4)) (+ (* (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)) (/ 0 (pow (cos (/ -1/2 K)) 4))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 4))))) into 0
279.605 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))))) into 0
279.607 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4))) 1)))) 2) into 0
279.609 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
279.610 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log U)))) into 0
279.610 * [backup-simplify]: Simplify (- 0) into 0
279.611 * [backup-simplify]: Simplify (+ 0 0) into 0
279.612 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U)))))) into 0
279.613 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/16 (/ (pow J 4) (pow (cos (/ -1/2 K)) 4)))) (* 4 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
279.613 * [taylor]: Taking taylor expansion of 0 in J
279.613 * [backup-simplify]: Simplify 0 into 0
279.613 * [backup-simplify]: Simplify 0 into 0
279.614 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 4 (log (/ 1 (- J)))) (log (/ 1/16 (pow (cos (/ -1/2 (/ 1 (- K)))) 4)))) (* 4 (log (/ 1 (- U))))))) into (exp (* 1/4 (- (+ (log (/ 1/16 (pow (cos (* 1/2 K)) 4))) (* 4 (log (/ -1 J)))) (* 4 (log (/ -1 U))))))
279.614 * * * [progress]: simplifying candidates
279.614 * * * * [progress]: [ 1 / 1276 ] simplifiying candidate #<alt (λ (J K U) (pow (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) 1))>
279.614 * * * * [progress]: [ 2 / 1276 ] simplifiying candidate #<alt (λ (J K U) (exp (- (+ (+ (log (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (+ (log (cos (/ K 2))) (log J))) (log -2)) (+ (log (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (log (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
279.615 * [simplify]: Simplifying (- (+ (+ (log (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (+ (log (cos (/ K 2))) (log J))) (log -2)) (+ (log (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (log (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
279.615 * * [simplify]: iters left: 6 (36 enodes)
279.641 * * [simplify]: iters left: 5 (153 enodes)
279.678 * * [simplify]: iters left: 4 (425 enodes)
280.094 * * [simplify]: Extracting #0: cost 1 inf + 0
280.094 * * [simplify]: Extracting #1: cost 46 inf + 0
280.094 * * [simplify]: Extracting #2: cost 100 inf + 0
280.095 * * [simplify]: Extracting #3: cost 111 inf + 2
280.095 * * [simplify]: Extracting #4: cost 116 inf + 215
280.097 * * [simplify]: Extracting #5: cost 237 inf + 657
280.101 * * [simplify]: Extracting #6: cost 601 inf + 2150
280.114 * * [simplify]: Extracting #7: cost 574 inf + 34070
280.146 * * [simplify]: Extracting #8: cost 198 inf + 158173
280.240 * * [simplify]: Extracting #9: cost 83 inf + 203777
280.291 * * [simplify]: Extracting #10: cost 71 inf + 211533
280.384 * * [simplify]: Extracting #11: cost 32 inf + 243087
280.519 * * [simplify]: Extracting #12: cost 0 inf + 271864
280.659 * [simplify]: Simplified to (- (+ (log (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))) (+ (log -2) (+ (log J) (log (cos (/ K 2)))))) (+ (log (sqrt (sqrt (- (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (log (sqrt (sqrt (- (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))
280.659 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (- (+ (log (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))) (+ (log -2) (+ (log J) (log (cos (/ K 2)))))) (+ (log (sqrt (sqrt (- (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (log (sqrt (sqrt (- (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))))
280.659 * * * * [progress]: [ 3 / 1276 ] simplifiying candidate #<alt (λ (J K U) (exp (- (+ (+ (log (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (+ (log (cos (/ K 2))) (log J))) (log -2)) (log (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
280.660 * [simplify]: Simplifying (- (+ (+ (log (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (+ (log (cos (/ K 2))) (log J))) (log -2)) (log (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
280.661 * * [simplify]: iters left: 6 (36 enodes)
280.681 * * [simplify]: iters left: 5 (151 enodes)
280.720 * * [simplify]: iters left: 4 (420 enodes)
281.135 * * [simplify]: Extracting #0: cost 1 inf + 0
281.135 * * [simplify]: Extracting #1: cost 46 inf + 0
281.136 * * [simplify]: Extracting #2: cost 98 inf + 0
281.136 * * [simplify]: Extracting #3: cost 104 inf + 2
281.137 * * [simplify]: Extracting #4: cost 115 inf + 215
281.139 * * [simplify]: Extracting #5: cost 445 inf + 657
281.148 * * [simplify]: Extracting #6: cost 653 inf + 17707
281.204 * * [simplify]: Extracting #7: cost 212 inf + 156855
281.282 * * [simplify]: Extracting #8: cost 55 inf + 225011
281.381 * * [simplify]: Extracting #9: cost 4 inf + 264341
281.487 * * [simplify]: Extracting #10: cost 0 inf + 267327
281.598 * [simplify]: Simplified to (- (log -2) (- (log (sqrt (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (+ (+ (log J) (log (cos (/ K 2)))) (log (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))))))
281.599 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (- (log -2) (- (log (sqrt (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (+ (+ (log J) (log (cos (/ K 2)))) (log (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))))))))
281.599 * * * * [progress]: [ 4 / 1276 ] simplifiying candidate #<alt (λ (J K U) (exp (- (+ (+ (log (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log (* (cos (/ K 2)) J))) (log -2)) (+ (log (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (log (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
281.600 * [simplify]: Simplifying (- (+ (+ (log (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log (* (cos (/ K 2)) J))) (log -2)) (+ (log (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (log (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
281.600 * * [simplify]: iters left: 6 (34 enodes)
281.617 * * [simplify]: iters left: 5 (147 enodes)
281.649 * * [simplify]: iters left: 4 (420 enodes)
282.193 * * [simplify]: Extracting #0: cost 1 inf + 0
282.193 * * [simplify]: Extracting #1: cost 37 inf + 0
282.193 * * [simplify]: Extracting #2: cost 88 inf + 0
282.193 * * [simplify]: Extracting #3: cost 100 inf + 2
282.194 * * [simplify]: Extracting #4: cost 103 inf + 579
282.194 * * [simplify]: Extracting #5: cost 215 inf + 982
282.196 * * [simplify]: Extracting #6: cost 578 inf + 3183
282.210 * * [simplify]: Extracting #7: cost 557 inf + 40498
282.255 * * [simplify]: Extracting #8: cost 153 inf + 175627
282.350 * * [simplify]: Extracting #9: cost 70 inf + 205820
282.469 * * [simplify]: Extracting #10: cost 26 inf + 238772
282.579 * * [simplify]: Extracting #11: cost 5 inf + 256420
282.698 * * [simplify]: Extracting #12: cost 0 inf + 260906
282.786 * [simplify]: Simplified to (+ (log (* (cos (/ K 2)) J)) (- (+ (log -2) (log (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)))) (+ (log (sqrt (sqrt (+ (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (log (sqrt (sqrt (+ (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))))
282.787 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* (cos (/ K 2)) J)) (- (+ (log -2) (log (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)))) (+ (log (sqrt (sqrt (+ (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (log (sqrt (sqrt (+ (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))))))
282.787 * * * * [progress]: [ 5 / 1276 ] simplifiying candidate #<alt (λ (J K U) (exp (- (+ (+ (log (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log (* (cos (/ K 2)) J))) (log -2)) (log (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
282.787 * [simplify]: Simplifying (- (+ (+ (log (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (log (* (cos (/ K 2)) J))) (log -2)) (log (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
282.788 * * [simplify]: iters left: 6 (34 enodes)
282.799 * * [simplify]: iters left: 5 (145 enodes)
282.855 * * [simplify]: iters left: 4 (414 enodes)
283.287 * * [simplify]: Extracting #0: cost 1 inf + 0
283.287 * * [simplify]: Extracting #1: cost 37 inf + 0
283.287 * * [simplify]: Extracting #2: cost 88 inf + 0
283.287 * * [simplify]: Extracting #3: cost 95 inf + 2
283.288 * * [simplify]: Extracting #4: cost 104 inf + 579
283.289 * * [simplify]: Extracting #5: cost 407 inf + 1084
283.300 * * [simplify]: Extracting #6: cost 633 inf + 23219
283.340 * * [simplify]: Extracting #7: cost 156 inf + 172788
283.404 * * [simplify]: Extracting #8: cost 66 inf + 207945
283.485 * * [simplify]: Extracting #9: cost 34 inf + 230125
283.581 * * [simplify]: Extracting #10: cost 5 inf + 253606
283.678 * * [simplify]: Extracting #11: cost 0 inf + 257405
283.768 * [simplify]: Simplified to (+ (- (+ (log -2) (log (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)))) (log (sqrt (+ (- 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))) (log (* (cos (/ K 2)) J)))
283.769 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (- (+ (log -2) (log (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)))) (log (sqrt (+ (- 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))) (log (* (cos (/ K 2)) J)))))
283.769 * * * * [progress]: [ 6 / 1276 ] simplifiying candidate #<alt (λ (J K U) (exp (- (+ (log (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J))) (log -2)) (+ (log (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (log (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
283.770 * [simplify]: Simplifying (- (+ (log (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J))) (log -2)) (+ (log (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (log (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
283.770 * * [simplify]: iters left: 6 (33 enodes)
283.789 * * [simplify]: iters left: 5 (143 enodes)
283.845 * * [simplify]: iters left: 4 (394 enodes)
284.246 * * [simplify]: Extracting #0: cost 1 inf + 0
284.247 * * [simplify]: Extracting #1: cost 31 inf + 0
284.247 * * [simplify]: Extracting #2: cost 77 inf + 0
284.248 * * [simplify]: Extracting #3: cost 87 inf + 73
284.248 * * [simplify]: Extracting #4: cost 92 inf + 286
284.249 * * [simplify]: Extracting #5: cost 218 inf + 469
284.253 * * [simplify]: Extracting #6: cost 582 inf + 1657
284.279 * * [simplify]: Extracting #7: cost 517 inf + 55747
284.342 * * [simplify]: Extracting #8: cost 144 inf + 184140
284.413 * * [simplify]: Extracting #9: cost 49 inf + 218593
284.515 * * [simplify]: Extracting #10: cost 31 inf + 229950
284.620 * * [simplify]: Extracting #11: cost 4 inf + 250800
284.704 * * [simplify]: Extracting #12: cost 0 inf + 254234
284.831 * [simplify]: Simplified to (+ (log -2) (- (- (log (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (cos (/ K 2)) J))) (log (sqrt (sqrt (+ 1 (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))))) (log (sqrt (sqrt (+ 1 (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))))))
284.831 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log -2) (- (- (log (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (cos (/ K 2)) J))) (log (sqrt (sqrt (+ 1 (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))))) (log (sqrt (sqrt (+ 1 (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))))))))
284.831 * * * * [progress]: [ 7 / 1276 ] simplifiying candidate #<alt (λ (J K U) (exp (- (+ (log (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J))) (log -2)) (log (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
284.831 * [simplify]: Simplifying (- (+ (log (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J))) (log -2)) (log (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
284.832 * * [simplify]: iters left: 6 (33 enodes)
284.842 * * [simplify]: iters left: 5 (141 enodes)
284.884 * * [simplify]: iters left: 4 (392 enodes)
285.276 * * [simplify]: Extracting #0: cost 1 inf + 0
285.277 * * [simplify]: Extracting #1: cost 31 inf + 0
285.277 * * [simplify]: Extracting #2: cost 75 inf + 0
285.277 * * [simplify]: Extracting #3: cost 82 inf + 144
285.277 * * [simplify]: Extracting #4: cost 95 inf + 468
285.278 * * [simplify]: Extracting #5: cost 413 inf + 469
285.285 * * [simplify]: Extracting #6: cost 618 inf + 33912
285.348 * * [simplify]: Extracting #7: cost 165 inf + 182241
285.436 * * [simplify]: Extracting #8: cost 7 inf + 253198
285.530 * * [simplify]: Extracting #9: cost 0 inf + 255075
285.625 * * [simplify]: Extracting #10: cost 0 inf + 254318
285.723 * [simplify]: Simplified to (+ (- (log (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (cos (/ K 2)) J))) (log (sqrt (- 1 (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))))) (log -2))
285.724 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (- (log (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (cos (/ K 2)) J))) (log (sqrt (- 1 (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))))) (log -2))))
285.724 * * * * [progress]: [ 8 / 1276 ] simplifiying candidate #<alt (λ (J K U) (exp (- (log (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2)) (+ (log (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (log (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
285.724 * [simplify]: Simplifying (- (log (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2)) (+ (log (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (log (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
285.724 * * [simplify]: iters left: 6 (32 enodes)
285.734 * * [simplify]: iters left: 5 (141 enodes)
285.770 * * [simplify]: iters left: 4 (404 enodes)
286.148 * * [simplify]: Extracting #0: cost 1 inf + 0
286.148 * * [simplify]: Extracting #1: cost 25 inf + 0
286.148 * * [simplify]: Extracting #2: cost 64 inf + 0
286.149 * * [simplify]: Extracting #3: cost 83 inf + 1
286.149 * * [simplify]: Extracting #4: cost 92 inf + 144
286.150 * * [simplify]: Extracting #5: cost 214 inf + 623
286.154 * * [simplify]: Extracting #6: cost 574 inf + 2329
286.167 * * [simplify]: Extracting #7: cost 544 inf + 30987
286.202 * * [simplify]: Extracting #8: cost 127 inf + 173888
286.259 * * [simplify]: Extracting #9: cost 35 inf + 210326
286.363 * * [simplify]: Extracting #10: cost 24 inf + 217504
286.460 * * [simplify]: Extracting #11: cost 6 inf + 231095
286.549 * * [simplify]: Extracting #12: cost 0 inf + 236069
286.666 * [simplify]: Simplified to (- (log (* (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) -2)) (+ (log (sqrt (sqrt (+ (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (log (sqrt (sqrt (+ (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))
286.666 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (- (log (* (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) -2)) (+ (log (sqrt (sqrt (+ (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (log (sqrt (sqrt (+ (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))))
286.667 * * * * [progress]: [ 9 / 1276 ] simplifiying candidate #<alt (λ (J K U) (exp (- (log (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2)) (log (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
286.667 * [simplify]: Simplifying (- (log (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2)) (log (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
286.668 * * [simplify]: iters left: 6 (32 enodes)
286.686 * * [simplify]: iters left: 5 (139 enodes)
286.739 * * [simplify]: iters left: 4 (401 enodes)
287.173 * * [simplify]: Extracting #0: cost 1 inf + 0
287.173 * * [simplify]: Extracting #1: cost 25 inf + 0
287.174 * * [simplify]: Extracting #2: cost 61 inf + 0
287.174 * * [simplify]: Extracting #3: cost 80 inf + 1
287.175 * * [simplify]: Extracting #4: cost 95 inf + 144
287.177 * * [simplify]: Extracting #5: cost 408 inf + 483
287.186 * * [simplify]: Extracting #6: cost 605 inf + 19706
287.241 * * [simplify]: Extracting #7: cost 129 inf + 169959
287.326 * * [simplify]: Extracting #8: cost 28 inf + 211106
287.423 * * [simplify]: Extracting #9: cost 1 inf + 227992
287.531 * * [simplify]: Extracting #10: cost 0 inf + 228481
287.631 * [simplify]: Simplified to (- (log (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (* (cos (/ K 2)) J) -2))) (log (sqrt (+ (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))
287.631 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (- (log (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (* (cos (/ K 2)) J) -2))) (log (sqrt (+ (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))
287.631 * * * * [progress]: [ 10 / 1276 ] simplifiying candidate #<alt (λ (J K U) (exp (log (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
287.632 * [simplify]: Simplifying (log (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
287.632 * * [simplify]: iters left: 6 (31 enodes)
287.641 * * [simplify]: iters left: 5 (140 enodes)
287.693 * * [simplify]: iters left: 4 (450 enodes)
288.163 * * [simplify]: Extracting #0: cost 1 inf + 0
288.163 * * [simplify]: Extracting #1: cost 29 inf + 0
288.163 * * [simplify]: Extracting #2: cost 106 inf + 0
288.164 * * [simplify]: Extracting #3: cost 164 inf + 73
288.166 * * [simplify]: Extracting #4: cost 179 inf + 369
288.168 * * [simplify]: Extracting #5: cost 495 inf + 1566
288.179 * * [simplify]: Extracting #6: cost 695 inf + 20230
288.250 * * [simplify]: Extracting #7: cost 248 inf + 160263
288.344 * * [simplify]: Extracting #8: cost 106 inf + 220602
288.448 * * [simplify]: Extracting #9: cost 15 inf + 276369
288.557 * * [simplify]: Extracting #10: cost 0 inf + 286264
288.683 * [simplify]: Simplified to (log (/ (* (* (cos (/ K 2)) J) (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2)) (sqrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))
288.683 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (log (/ (* (* (cos (/ K 2)) J) (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2)) (sqrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))
288.683 * * * * [progress]: [ 11 / 1276 ] simplifiying candidate #<alt (λ (J K U) (log (exp (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
288.684 * [simplify]: Simplifying (exp (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
288.685 * * [simplify]: iters left: 6 (31 enodes)
288.703 * * [simplify]: iters left: 5 (137 enodes)
288.763 * * [simplify]: iters left: 4 (436 enodes)
289.238 * * [simplify]: Extracting #0: cost 1 inf + 0
289.238 * * [simplify]: Extracting #1: cost 6 inf + 0
289.239 * * [simplify]: Extracting #2: cost 58 inf + 0
289.239 * * [simplify]: Extracting #3: cost 116 inf + 2
289.240 * * [simplify]: Extracting #4: cost 132 inf + 45
289.242 * * [simplify]: Extracting #5: cost 477 inf + 519
289.252 * * [simplify]: Extracting #6: cost 693 inf + 20910
289.313 * * [simplify]: Extracting #7: cost 248 inf + 156351
289.390 * * [simplify]: Extracting #8: cost 68 inf + 228362
289.489 * * [simplify]: Extracting #9: cost 10 inf + 263943
289.598 * * [simplify]: Extracting #10: cost 0 inf + 270762
289.720 * [simplify]: Simplified to (exp (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (- 1 (- (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) -2)))
289.720 * [simplify]: Simplified (2 1) to (λ (J K U) (log (exp (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (- 1 (- (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) -2)))))
289.720 * * * * [progress]: [ 12 / 1276 ] simplifiying candidate #<alt (λ (J K U) (cbrt (/ (* (* (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))) (* (* -2 -2) -2)) (* (* (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (* (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
289.721 * [simplify]: Simplifying (/ (* (* (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))) (* (* -2 -2) -2)) (* (* (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (* (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
289.721 * * [simplify]: iters left: 6 (41 enodes)
289.734 * * [simplify]: iters left: 5 (185 enodes)
289.811 * * [simplify]: Extracting #0: cost 1 inf + 0
289.811 * * [simplify]: Extracting #1: cost 55 inf + 0
289.812 * * [simplify]: Extracting #2: cost 165 inf + 1
289.812 * * [simplify]: Extracting #3: cost 207 inf + 6
289.813 * * [simplify]: Extracting #4: cost 278 inf + 212
289.814 * * [simplify]: Extracting #5: cost 262 inf + 3089
289.819 * * [simplify]: Extracting #6: cost 183 inf + 24101
289.829 * * [simplify]: Extracting #7: cost 119 inf + 50083
289.866 * * [simplify]: Extracting #8: cost 44 inf + 100752
289.939 * * [simplify]: Extracting #9: cost 6 inf + 128608
290.028 * * [simplify]: Extracting #10: cost 0 inf + 132197
290.117 * [simplify]: Simplified to (* (/ -8 (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (/ (* (* (* (* (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1))) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))) (* J (* J J))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))))
290.117 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (/ -8 (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (/ (* (* (* (* (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1))) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))) (* J (* J J))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))))))
290.118 * * * * [progress]: [ 13 / 1276 ] simplifiying candidate #<alt (λ (J K U) (cbrt (/ (* (* (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))) (* (* -2 -2) -2)) (* (* (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
290.119 * [simplify]: Simplifying (/ (* (* (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))) (* (* -2 -2) -2)) (* (* (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
290.120 * * [simplify]: iters left: 6 (41 enodes)
290.143 * * [simplify]: iters left: 5 (186 enodes)
290.210 * * [simplify]: Extracting #0: cost 1 inf + 0
290.211 * * [simplify]: Extracting #1: cost 55 inf + 0
290.211 * * [simplify]: Extracting #2: cost 177 inf + 1
290.212 * * [simplify]: Extracting #3: cost 264 inf + 6
290.213 * * [simplify]: Extracting #4: cost 290 inf + 257
290.214 * * [simplify]: Extracting #5: cost 258 inf + 4558
290.218 * * [simplify]: Extracting #6: cost 185 inf + 24754
290.233 * * [simplify]: Extracting #7: cost 119 inf + 54351
290.290 * * [simplify]: Extracting #8: cost 37 inf + 106679
290.352 * * [simplify]: Extracting #9: cost 3 inf + 131666
290.401 * * [simplify]: Extracting #10: cost 0 inf + 134223
290.464 * [simplify]: Simplified to (* (/ (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1) (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2)))))) (* J (* J J))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (/ -8 (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))
290.464 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (/ (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1) (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2)))))) (* J (* J J))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (/ -8 (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))))
290.465 * * * * [progress]: [ 14 / 1276 ] simplifiying candidate #<alt (λ (J K U) (cbrt (/ (* (* (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) (* (* -2 -2) -2)) (* (* (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (* (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
290.465 * [simplify]: Simplifying (/ (* (* (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) (* (* -2 -2) -2)) (* (* (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (* (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
290.467 * * [simplify]: iters left: 6 (38 enodes)
290.491 * * [simplify]: iters left: 5 (179 enodes)
290.579 * * [simplify]: Extracting #0: cost 1 inf + 0
290.580 * * [simplify]: Extracting #1: cost 61 inf + 0
290.580 * * [simplify]: Extracting #2: cost 165 inf + 1
290.582 * * [simplify]: Extracting #3: cost 237 inf + 6
290.583 * * [simplify]: Extracting #4: cost 266 inf + 258
290.585 * * [simplify]: Extracting #5: cost 212 inf + 11319
290.594 * * [simplify]: Extracting #6: cost 126 inf + 40680
290.620 * * [simplify]: Extracting #7: cost 39 inf + 89281
290.697 * * [simplify]: Extracting #8: cost 7 inf + 110061
290.751 * * [simplify]: Extracting #9: cost 0 inf + 114679
290.808 * [simplify]: Simplified to (/ (/ (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) -8) (sqrt (+ (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (+ (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))
290.808 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (/ (/ (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) -8) (sqrt (+ (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (+ (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))))
290.808 * * * * [progress]: [ 15 / 1276 ] simplifiying candidate #<alt (λ (J K U) (cbrt (/ (* (* (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) (* (* -2 -2) -2)) (* (* (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
290.809 * [simplify]: Simplifying (/ (* (* (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) (* (* -2 -2) -2)) (* (* (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
290.810 * * [simplify]: iters left: 6 (38 enodes)
290.822 * * [simplify]: iters left: 5 (180 enodes)
290.882 * * [simplify]: Extracting #0: cost 1 inf + 0
290.882 * * [simplify]: Extracting #1: cost 60 inf + 0
290.882 * * [simplify]: Extracting #2: cost 170 inf + 1
290.883 * * [simplify]: Extracting #3: cost 244 inf + 6
290.884 * * [simplify]: Extracting #4: cost 273 inf + 258
290.886 * * [simplify]: Extracting #5: cost 214 inf + 13363
290.899 * * [simplify]: Extracting #6: cost 124 inf + 42617
290.946 * * [simplify]: Extracting #7: cost 34 inf + 94144
291.024 * * [simplify]: Extracting #8: cost 0 inf + 115893
291.110 * [simplify]: Simplified to (/ (* (* (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1))) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) (/ (sqrt (+ (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (/ -8 (+ (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))))
291.110 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (/ (* (* (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1))) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) (/ (sqrt (+ (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (/ -8 (+ (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))))))
291.111 * * * * [progress]: [ 16 / 1276 ] simplifiying candidate #<alt (λ (J K U) (cbrt (/ (* (* (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J))) (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J))) (* (* -2 -2) -2)) (* (* (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (* (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
291.112 * [simplify]: Simplifying (/ (* (* (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J))) (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J))) (* (* -2 -2) -2)) (* (* (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (* (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
291.113 * * [simplify]: iters left: 6 (36 enodes)
291.136 * * [simplify]: iters left: 5 (174 enodes)
291.184 * * [simplify]: Extracting #0: cost 1 inf + 0
291.184 * * [simplify]: Extracting #1: cost 57 inf + 0
291.184 * * [simplify]: Extracting #2: cost 138 inf + 1
291.185 * * [simplify]: Extracting #3: cost 165 inf + 46
291.189 * * [simplify]: Extracting #4: cost 232 inf + 89
291.190 * * [simplify]: Extracting #5: cost 247 inf + 2357
291.196 * * [simplify]: Extracting #6: cost 155 inf + 30390
291.214 * * [simplify]: Extracting #7: cost 71 inf + 70743
291.247 * * [simplify]: Extracting #8: cost 26 inf + 101132
291.306 * * [simplify]: Extracting #9: cost 0 inf + 119758
291.359 * [simplify]: Simplified to (/ (* (* -8 (* (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J))) (* (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))
291.359 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (/ (* (* -8 (* (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J))) (* (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))
291.360 * * * * [progress]: [ 17 / 1276 ] simplifiying candidate #<alt (λ (J K U) (cbrt (/ (* (* (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J))) (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J))) (* (* -2 -2) -2)) (* (* (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
291.361 * [simplify]: Simplifying (/ (* (* (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J))) (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J))) (* (* -2 -2) -2)) (* (* (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
291.362 * * [simplify]: iters left: 6 (36 enodes)
291.382 * * [simplify]: iters left: 5 (175 enodes)
291.442 * * [simplify]: Extracting #0: cost 1 inf + 0
291.442 * * [simplify]: Extracting #1: cost 58 inf + 0
291.443 * * [simplify]: Extracting #2: cost 152 inf + 1
291.443 * * [simplify]: Extracting #3: cost 230 inf + 6
291.444 * * [simplify]: Extracting #4: cost 260 inf + 217
291.445 * * [simplify]: Extracting #5: cost 233 inf + 4969
291.451 * * [simplify]: Extracting #6: cost 154 inf + 30112
291.477 * * [simplify]: Extracting #7: cost 82 inf + 64715
291.510 * * [simplify]: Extracting #8: cost 44 inf + 86191
291.576 * * [simplify]: Extracting #9: cost 13 inf + 105824
291.638 * * [simplify]: Extracting #10: cost 0 inf + 115156
291.729 * [simplify]: Simplified to (/ (/ (* (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (* (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (* -8 (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J))))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))
291.729 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (/ (/ (* (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (* (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (* -8 (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J))))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))
291.730 * * * * [progress]: [ 18 / 1276 ] simplifiying candidate #<alt (λ (J K U) (cbrt (/ (* (* (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2)) (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2)) (* (* (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (* (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
291.730 * [simplify]: Simplifying (/ (* (* (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2)) (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2)) (* (* (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (* (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
291.731 * * [simplify]: iters left: 6 (34 enodes)
291.749 * * [simplify]: iters left: 5 (162 enodes)
291.789 * * [simplify]: Extracting #0: cost 1 inf + 0
291.789 * * [simplify]: Extracting #1: cost 43 inf + 0
291.790 * * [simplify]: Extracting #2: cost 133 inf + 0
291.791 * * [simplify]: Extracting #3: cost 154 inf + 4
291.792 * * [simplify]: Extracting #4: cost 204 inf + 87
291.797 * * [simplify]: Extracting #5: cost 208 inf + 13689
291.819 * * [simplify]: Extracting #6: cost 104 inf + 52901
291.858 * * [simplify]: Extracting #7: cost 57 inf + 73021
291.907 * * [simplify]: Extracting #8: cost 13 inf + 101694
291.971 * * [simplify]: Extracting #9: cost 0 inf + 110869
292.045 * [simplify]: Simplified to (/ (* (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (cos (/ K 2)) (* J -2))) (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (cos (/ K 2)) (* J -2)))) (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (cos (/ K 2)) (* J -2)))) (* (sqrt (- (+ 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (+ 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))
292.045 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (/ (* (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (cos (/ K 2)) (* J -2))) (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (cos (/ K 2)) (* J -2)))) (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (cos (/ K 2)) (* J -2)))) (* (sqrt (- (+ 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (+ 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))))
292.046 * * * * [progress]: [ 19 / 1276 ] simplifiying candidate #<alt (λ (J K U) (cbrt (/ (* (* (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2)) (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2)) (* (* (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
292.047 * [simplify]: Simplifying (/ (* (* (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2)) (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2)) (* (* (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
292.048 * * [simplify]: iters left: 6 (34 enodes)
292.068 * * [simplify]: iters left: 5 (163 enodes)
292.143 * * [simplify]: Extracting #0: cost 1 inf + 0
292.144 * * [simplify]: Extracting #1: cost 43 inf + 0
292.144 * * [simplify]: Extracting #2: cost 140 inf + 0
292.145 * * [simplify]: Extracting #3: cost 205 inf + 4
292.147 * * [simplify]: Extracting #4: cost 232 inf + 216
292.155 * * [simplify]: Extracting #5: cost 188 inf + 16296
292.198 * * [simplify]: Extracting #6: cost 64 inf + 75185
292.275 * * [simplify]: Extracting #7: cost 8 inf + 110295
292.370 * * [simplify]: Extracting #8: cost 0 inf + 115861
292.433 * [simplify]: Simplified to (* (/ (* (* (sqrt (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* J -2))) (* (sqrt (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* J -2)))) (+ (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (/ (* (sqrt (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* J -2))) (sqrt (+ (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))))
292.433 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (/ (* (* (sqrt (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* J -2))) (* (sqrt (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* J -2)))) (+ (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (/ (* (sqrt (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* J -2))) (sqrt (+ (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))))))
292.433 * * * * [progress]: [ 20 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))) (cbrt (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (cbrt (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
292.434 * [simplify]: Simplifying (* (cbrt (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))) (cbrt (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
292.434 * * [simplify]: iters left: 6 (32 enodes)
292.452 * * [simplify]: iters left: 5 (140 enodes)
292.492 * * [simplify]: iters left: 4 (441 enodes)
293.037 * * [simplify]: Extracting #0: cost 1 inf + 0
293.037 * * [simplify]: Extracting #1: cost 3 inf + 0
293.037 * * [simplify]: Extracting #2: cost 5 inf + 0
293.037 * * [simplify]: Extracting #3: cost 55 inf + 0
293.038 * * [simplify]: Extracting #4: cost 113 inf + 2
293.039 * * [simplify]: Extracting #5: cost 131 inf + 44
293.041 * * [simplify]: Extracting #6: cost 470 inf + 560
293.054 * * [simplify]: Extracting #7: cost 688 inf + 26295
293.102 * * [simplify]: Extracting #8: cost 167 inf + 190063
293.190 * * [simplify]: Extracting #9: cost 76 inf + 227449
293.338 * * [simplify]: Extracting #10: cost 10 inf + 267426
293.468 * * [simplify]: Extracting #11: cost 0 inf + 273923
293.598 * [simplify]: Simplified to (* (cbrt (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (/ (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)))) (cbrt (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (/ (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)))))
293.598 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (cbrt (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (/ (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)))) (cbrt (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (/ (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J))))) (cbrt (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
293.599 * [simplify]: Simplifying (cbrt (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
293.600 * * [simplify]: iters left: 6 (31 enodes)
293.613 * * [simplify]: iters left: 5 (137 enodes)
293.647 * * [simplify]: iters left: 4 (434 enodes)
294.123 * * [simplify]: Extracting #0: cost 1 inf + 0
294.123 * * [simplify]: Extracting #1: cost 3 inf + 0
294.123 * * [simplify]: Extracting #2: cost 53 inf + 0
294.123 * * [simplify]: Extracting #3: cost 110 inf + 2
294.124 * * [simplify]: Extracting #4: cost 128 inf + 44
294.125 * * [simplify]: Extracting #5: cost 461 inf + 519
294.131 * * [simplify]: Extracting #6: cost 686 inf + 23426
294.174 * * [simplify]: Extracting #7: cost 227 inf + 163988
294.252 * * [simplify]: Extracting #8: cost 69 inf + 225838
294.359 * * [simplify]: Extracting #9: cost 5 inf + 264123
294.492 * * [simplify]: Extracting #10: cost 0 inf + 267051
294.589 * [simplify]: Simplified to (cbrt (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) -2)))
294.589 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (cbrt (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))) (cbrt (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (cbrt (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) -2)))))
294.590 * * * * [progress]: [ 21 / 1276 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
294.591 * [simplify]: Simplifying (* (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
294.592 * * [simplify]: iters left: 6 (32 enodes)
294.611 * * [simplify]: iters left: 5 (147 enodes)
294.661 * * [simplify]: Extracting #0: cost 1 inf + 0
294.661 * * [simplify]: Extracting #1: cost 22 inf + 0
294.661 * * [simplify]: Extracting #2: cost 69 inf + 1
294.661 * * [simplify]: Extracting #3: cost 106 inf + 2
294.661 * * [simplify]: Extracting #4: cost 167 inf + 4
294.662 * * [simplify]: Extracting #5: cost 202 inf + 91
294.663 * * [simplify]: Extracting #6: cost 183 inf + 4453
294.669 * * [simplify]: Extracting #7: cost 101 inf + 28061
294.682 * * [simplify]: Extracting #8: cost 63 inf + 44361
294.725 * * [simplify]: Extracting #9: cost 10 inf + 82030
294.771 * * [simplify]: Extracting #10: cost 0 inf + 90028
294.837 * [simplify]: Simplified to (* (* (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) -2) (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)))) (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) -2) (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1))))) (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) -2) (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)))))
294.837 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) -2) (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)))) (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) -2) (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1))))) (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) -2) (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)))))))
294.838 * * * * [progress]: [ 22 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))) (sqrt (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
294.839 * [simplify]: Simplifying (sqrt (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
294.839 * * [simplify]: iters left: 6 (31 enodes)
294.854 * * [simplify]: iters left: 5 (137 enodes)
294.889 * * [simplify]: iters left: 4 (434 enodes)
295.413 * * [simplify]: Extracting #0: cost 1 inf + 0
295.413 * * [simplify]: Extracting #1: cost 3 inf + 0
295.414 * * [simplify]: Extracting #2: cost 53 inf + 0
295.414 * * [simplify]: Extracting #3: cost 110 inf + 2
295.415 * * [simplify]: Extracting #4: cost 128 inf + 44
295.417 * * [simplify]: Extracting #5: cost 461 inf + 519
295.425 * * [simplify]: Extracting #6: cost 686 inf + 23426
295.460 * * [simplify]: Extracting #7: cost 227 inf + 163988
295.569 * * [simplify]: Extracting #8: cost 69 inf + 225838
295.700 * * [simplify]: Extracting #9: cost 5 inf + 264043
295.818 * * [simplify]: Extracting #10: cost 0 inf + 266971
295.950 * [simplify]: Simplified to (sqrt (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) -2)))
295.951 * [simplify]: Simplified (2 1) to (λ (J K U) (* (sqrt (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) -2))) (sqrt (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
295.952 * [simplify]: Simplifying (sqrt (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
295.952 * * [simplify]: iters left: 6 (31 enodes)
295.970 * * [simplify]: iters left: 5 (137 enodes)
296.028 * * [simplify]: iters left: 4 (434 enodes)
296.549 * * [simplify]: Extracting #0: cost 1 inf + 0
296.549 * * [simplify]: Extracting #1: cost 3 inf + 0
296.549 * * [simplify]: Extracting #2: cost 53 inf + 0
296.550 * * [simplify]: Extracting #3: cost 110 inf + 2
296.550 * * [simplify]: Extracting #4: cost 128 inf + 44
296.551 * * [simplify]: Extracting #5: cost 461 inf + 519
296.557 * * [simplify]: Extracting #6: cost 686 inf + 23426
296.608 * * [simplify]: Extracting #7: cost 227 inf + 163988
296.669 * * [simplify]: Extracting #8: cost 69 inf + 225838
297.220 * * [simplify]: Extracting #9: cost 5 inf + 264043
297.351 * * [simplify]: Extracting #10: cost 0 inf + 266971
297.448 * [simplify]: Simplified to (sqrt (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) -2)))
297.448 * [simplify]: Simplified (2 2) to (λ (J K U) (* (sqrt (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))) (sqrt (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) -2)))))
297.449 * * * * [progress]: [ 23 / 1276 ] simplifiying candidate #<alt (λ (J K U) (/ (- (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2)) (- (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))>
297.449 * [simplify]: Simplifying (- (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2))
297.449 * * [simplify]: iters left: 6 (19 enodes)
297.456 * * [simplify]: iters left: 5 (88 enodes)
297.477 * * [simplify]: iters left: 4 (240 enodes)
297.611 * * [simplify]: Extracting #0: cost 1 inf + 0
297.611 * * [simplify]: Extracting #1: cost 38 inf + 0
297.611 * * [simplify]: Extracting #2: cost 63 inf + 128
297.611 * * [simplify]: Extracting #3: cost 63 inf + 417
297.612 * * [simplify]: Extracting #4: cost 147 inf + 1745
297.614 * * [simplify]: Extracting #5: cost 366 inf + 3456
297.631 * * [simplify]: Extracting #6: cost 290 inf + 52251
297.675 * * [simplify]: Extracting #7: cost 16 inf + 151094
297.728 * * [simplify]: Extracting #8: cost 0 inf + 156467
297.809 * * [simplify]: Extracting #9: cost 0 inf + 156114
297.878 * [simplify]: Simplified to (* (sqrt (+ (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))) 1)) (* J (* 2 (cos (/ K 2)))))
297.878 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (sqrt (+ (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))) 1)) (* J (* 2 (cos (/ K 2))))) (- (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
297.879 * [simplify]: Simplifying (- (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
297.879 * * [simplify]: iters left: 6 (20 enodes)
297.884 * * [simplify]: iters left: 5 (76 enodes)
297.912 * * [simplify]: iters left: 4 (181 enodes)
297.999 * * [simplify]: Extracting #0: cost 1 inf + 0
297.999 * * [simplify]: Extracting #1: cost 5 inf + 0
298.000 * * [simplify]: Extracting #2: cost 9 inf + 0
298.000 * * [simplify]: Extracting #3: cost 18 inf + 0
298.000 * * [simplify]: Extracting #4: cost 199 inf + 1
298.003 * * [simplify]: Extracting #5: cost 342 inf + 378
298.006 * * [simplify]: Extracting #6: cost 311 inf + 3096
298.012 * * [simplify]: Extracting #7: cost 202 inf + 34852
298.030 * * [simplify]: Extracting #8: cost 16 inf + 95724
298.069 * * [simplify]: Extracting #9: cost 3 inf + 99978
298.099 * * [simplify]: Extracting #10: cost 0 inf + 101296
298.138 * [simplify]: Simplified to (- (sqrt (+ (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (- 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))))
298.138 * [simplify]: Simplified (2 2) to (λ (J K U) (/ (* (sqrt (+ (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))) 1)) (* J (* 2 (cos (/ K 2))))) (- (sqrt (+ (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (- 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))))))
298.139 * * * * [progress]: [ 24 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (/ -2 (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
298.139 * [simplify]: Simplifying (/ (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
298.140 * * [simplify]: iters left: 6 (27 enodes)
298.155 * * [simplify]: iters left: 5 (117 enodes)
298.198 * * [simplify]: iters left: 4 (342 enodes)
298.594 * * [simplify]: Extracting #0: cost 1 inf + 0
298.594 * * [simplify]: Extracting #1: cost 21 inf + 0
298.594 * * [simplify]: Extracting #2: cost 35 inf + 1
298.594 * * [simplify]: Extracting #3: cost 43 inf + 1
298.595 * * [simplify]: Extracting #4: cost 161 inf + 190
298.596 * * [simplify]: Extracting #5: cost 569 inf + 916
298.605 * * [simplify]: Extracting #6: cost 507 inf + 48413
298.667 * * [simplify]: Extracting #7: cost 88 inf + 189229
298.743 * * [simplify]: Extracting #8: cost 13 inf + 217716
298.846 * * [simplify]: Extracting #9: cost 1 inf + 224861
298.928 * * [simplify]: Extracting #10: cost 0 inf + 225132
298.993 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (- 1 (- (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))))
298.993 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (- 1 (- (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))))) (/ -2 (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
298.993 * [simplify]: Simplifying (/ -2 (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
298.994 * * [simplify]: iters left: 6 (20 enodes)
299.004 * * [simplify]: iters left: 5 (75 enodes)
299.019 * * [simplify]: iters left: 4 (175 enodes)
299.137 * * [simplify]: Extracting #0: cost 1 inf + 0
299.137 * * [simplify]: Extracting #1: cost 4 inf + 0
299.137 * * [simplify]: Extracting #2: cost 5 inf + 1
299.137 * * [simplify]: Extracting #3: cost 7 inf + 1
299.137 * * [simplify]: Extracting #4: cost 16 inf + 1
299.138 * * [simplify]: Extracting #5: cost 184 inf + 2
299.139 * * [simplify]: Extracting #6: cost 308 inf + 545
299.140 * * [simplify]: Extracting #7: cost 280 inf + 2934
299.145 * * [simplify]: Extracting #8: cost 215 inf + 20156
299.176 * * [simplify]: Extracting #9: cost 18 inf + 83231
299.211 * * [simplify]: Extracting #10: cost 4 inf + 86467
299.239 * * [simplify]: Extracting #11: cost 1 inf + 87625
299.279 * * [simplify]: Extracting #12: cost 0 inf + 88131
299.318 * [simplify]: Simplified to (/ -2 (sqrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))))))
299.318 * [simplify]: Simplified (2 2) to (λ (J K U) (* (/ (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (/ -2 (sqrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))))))))
299.319 * * * * [progress]: [ 25 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* 1 (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))>
299.319 * * * * [progress]: [ 26 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ 1 (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))>
299.320 * [simplify]: Simplifying (/ 1 (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
299.320 * * [simplify]: iters left: 6 (20 enodes)
299.331 * * [simplify]: iters left: 5 (75 enodes)
299.360 * * [simplify]: iters left: 4 (178 enodes)
299.470 * * [simplify]: Extracting #0: cost 1 inf + 0
299.470 * * [simplify]: Extracting #1: cost 6 inf + 0
299.470 * * [simplify]: Extracting #2: cost 9 inf + 1
299.470 * * [simplify]: Extracting #3: cost 17 inf + 1
299.471 * * [simplify]: Extracting #4: cost 186 inf + 1
299.472 * * [simplify]: Extracting #5: cost 314 inf + 257
299.473 * * [simplify]: Extracting #6: cost 286 inf + 2564
299.478 * * [simplify]: Extracting #7: cost 205 inf + 23199
299.494 * * [simplify]: Extracting #8: cost 28 inf + 80738
299.533 * * [simplify]: Extracting #9: cost 0 inf + 90175
299.571 * [simplify]: Simplified to (/ 1 (sqrt (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (- 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))))
299.571 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (/ 1 (sqrt (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (- 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))))))
299.572 * * * * [progress]: [ 27 / 1276 ] simplifiying candidate #<alt (λ (J K U) (/ 1 (/ (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2))))>
299.572 * [simplify]: Simplifying (/ (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2))
299.572 * * [simplify]: iters left: 6 (30 enodes)
299.581 * * [simplify]: iters left: 5 (132 enodes)
299.609 * * [simplify]: iters left: 4 (400 enodes)
300.077 * * [simplify]: Extracting #0: cost 1 inf + 0
300.077 * * [simplify]: Extracting #1: cost 62 inf + 0
300.078 * * [simplify]: Extracting #2: cost 108 inf + 2
300.079 * * [simplify]: Extracting #3: cost 125 inf + 44
300.081 * * [simplify]: Extracting #4: cost 436 inf + 519
300.091 * * [simplify]: Extracting #5: cost 670 inf + 21524
300.156 * * [simplify]: Extracting #6: cost 249 inf + 157609
300.245 * * [simplify]: Extracting #7: cost 87 inf + 213305
300.333 * * [simplify]: Extracting #8: cost 17 inf + 258981
300.452 * * [simplify]: Extracting #9: cost 0 inf + 262521
300.606 * * [simplify]: Extracting #10: cost 0 inf + 260144
300.714 * [simplify]: Simplified to (/ (sqrt (+ (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* -2 (* (cos (/ K 2)) J))))
300.714 * [simplify]: Simplified (2 2) to (λ (J K U) (/ 1 (/ (sqrt (+ (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* -2 (* (cos (/ K 2)) J))))))
300.714 * * * * [progress]: [ 28 / 1276 ] simplifiying candidate #<alt (λ (J K U) (/ (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))>
300.715 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
300.715 * * [simplify]: iters left: 6 (29 enodes)
300.724 * * [simplify]: iters left: 5 (128 enodes)
300.762 * * [simplify]: iters left: 4 (397 enodes)
301.240 * * [simplify]: Extracting #0: cost 1 inf + 0
301.240 * * [simplify]: Extracting #1: cost 27 inf + 0
301.240 * * [simplify]: Extracting #2: cost 53 inf + 2
301.240 * * [simplify]: Extracting #3: cost 63 inf + 44
301.240 * * [simplify]: Extracting #4: cost 178 inf + 806
301.242 * * [simplify]: Extracting #5: cost 553 inf + 1926
301.252 * * [simplify]: Extracting #6: cost 561 inf + 29042
301.283 * * [simplify]: Extracting #7: cost 171 inf + 158205
301.336 * * [simplify]: Extracting #8: cost 19 inf + 219636
301.407 * * [simplify]: Extracting #9: cost 2 inf + 229991
301.506 * * [simplify]: Extracting #10: cost 0 inf + 231283
301.589 * [simplify]: Simplified to (/ (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) 1))) (sqrt (sqrt (- 1 (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (- 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))))
301.589 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (/ (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))) 1))) (sqrt (sqrt (- 1 (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (- 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
301.589 * * * * [progress]: [ 29 / 1276 ] simplifiying candidate #<alt (λ (J K U) (/ (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) (/ (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) -2)))>
301.590 * [simplify]: Simplifying (/ (* (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) -2)
301.590 * * [simplify]: iters left: 6 (21 enodes)
301.602 * * [simplify]: iters left: 5 (78 enodes)
301.631 * * [simplify]: iters left: 4 (183 enodes)
301.742 * * [simplify]: Extracting #0: cost 1 inf + 0
301.742 * * [simplify]: Extracting #1: cost 7 inf + 0
301.742 * * [simplify]: Extracting #2: cost 11 inf + 1
301.742 * * [simplify]: Extracting #3: cost 20 inf + 1
301.743 * * [simplify]: Extracting #4: cost 186 inf + 2
301.745 * * [simplify]: Extracting #5: cost 312 inf + 544
301.748 * * [simplify]: Extracting #6: cost 284 inf + 2975
301.755 * * [simplify]: Extracting #7: cost 213 inf + 22117
301.786 * * [simplify]: Extracting #8: cost 19 inf + 82900
301.827 * * [simplify]: Extracting #9: cost 5 inf + 87339
301.870 * * [simplify]: Extracting #10: cost 1 inf + 89244
301.908 * * [simplify]: Extracting #11: cost 0 inf + 89750
301.947 * [simplify]: Simplified to (/ (sqrt (- 1 (- (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) -2)
301.948 * [simplify]: Simplified (2 2) to (λ (J K U) (/ (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) (/ (sqrt (- 1 (- (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) -2)))
301.948 * * * * [progress]: [ 30 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
301.949 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
301.950 * * [simplify]: iters left: 6 (43 enodes)
301.977 * * [simplify]: iters left: 5 (219 enodes)
302.060 * * [simplify]: Extracting #0: cost 1 inf + 0
302.060 * * [simplify]: Extracting #1: cost 24 inf + 0
302.061 * * [simplify]: Extracting #2: cost 51 inf + 1
302.061 * * [simplify]: Extracting #3: cost 59 inf + 44
302.061 * * [simplify]: Extracting #4: cost 116 inf + 45
302.063 * * [simplify]: Extracting #5: cost 255 inf + 703
302.066 * * [simplify]: Extracting #6: cost 254 inf + 4645
302.080 * * [simplify]: Extracting #7: cost 118 inf + 48369
302.102 * * [simplify]: Extracting #8: cost 48 inf + 73893
302.139 * * [simplify]: Extracting #9: cost 26 inf + 85281
302.169 * * [simplify]: Extracting #10: cost 14 inf + 96029
302.229 * * [simplify]: Extracting #11: cost 0 inf + 109746
302.281 * [simplify]: Simplified to (/ (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) (/ (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* U U) (* U U)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) -2))
302.281 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) (/ (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* U U) (* U U)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) -2)) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
302.282 * * * * [progress]: [ 31 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
302.283 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
302.284 * * [simplify]: iters left: 6 (50 enodes)
302.317 * * [simplify]: iters left: 5 (259 enodes)
302.419 * * [simplify]: Extracting #0: cost 1 inf + 0
302.419 * * [simplify]: Extracting #1: cost 30 inf + 0
302.419 * * [simplify]: Extracting #2: cost 59 inf + 1
302.420 * * [simplify]: Extracting #3: cost 68 inf + 44
302.420 * * [simplify]: Extracting #4: cost 99 inf + 45
302.421 * * [simplify]: Extracting #5: cost 225 inf + 621
302.424 * * [simplify]: Extracting #6: cost 296 inf + 4937
302.444 * * [simplify]: Extracting #7: cost 129 inf + 60381
302.497 * * [simplify]: Extracting #8: cost 33 inf + 106755
302.583 * * [simplify]: Extracting #9: cost 2 inf + 138300
302.650 * * [simplify]: Extracting #10: cost 0 inf + 137991
302.716 * * [simplify]: Extracting #11: cost 0 inf + 137820
302.788 * [simplify]: Simplified to (* (/ (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (+ (* (* (* U U) (* U U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* U U) (* U U))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (/ -2 (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* U U) (* U U)))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))))
302.788 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (+ (* (* (* U U) (* U U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* U U) (* U U))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (/ -2 (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* U U) (* U U)))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
302.789 * * * * [progress]: [ 32 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
302.790 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
302.790 * * [simplify]: iters left: 6 (51 enodes)
302.806 * * [simplify]: iters left: 5 (265 enodes)
302.919 * * [simplify]: Extracting #0: cost 1 inf + 0
302.919 * * [simplify]: Extracting #1: cost 30 inf + 0
302.919 * * [simplify]: Extracting #2: cost 59 inf + 1
302.919 * * [simplify]: Extracting #3: cost 68 inf + 44
302.920 * * [simplify]: Extracting #4: cost 100 inf + 45
302.920 * * [simplify]: Extracting #5: cost 221 inf + 580
302.921 * * [simplify]: Extracting #6: cost 306 inf + 4477
302.934 * * [simplify]: Extracting #7: cost 134 inf + 65352
302.968 * * [simplify]: Extracting #8: cost 41 inf + 106259
303.000 * * [simplify]: Extracting #9: cost 31 inf + 115074
303.059 * * [simplify]: Extracting #10: cost 20 inf + 127633
303.130 * * [simplify]: Extracting #11: cost 1 inf + 150159
303.192 * * [simplify]: Extracting #12: cost 0 inf + 151585
303.268 * [simplify]: Simplified to (/ (/ (* (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (cos (/ K 2))) (* J -2)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* J (* 2 (cos (/ K 2)))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (* U U)))))) (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* U U) (* U U)))) (* (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))))))))
303.268 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (cos (/ K 2))) (* J -2)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* J (* 2 (cos (/ K 2)))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (* U U)))))) (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* U U) (* U U)))) (* (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
303.269 * * * * [progress]: [ 33 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
303.269 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
303.270 * * [simplify]: iters left: 6 (53 enodes)
303.286 * * [simplify]: iters left: 5 (274 enodes)
303.383 * * [simplify]: Extracting #0: cost 1 inf + 0
303.383 * * [simplify]: Extracting #1: cost 30 inf + 0
303.383 * * [simplify]: Extracting #2: cost 59 inf + 1
303.383 * * [simplify]: Extracting #3: cost 69 inf + 2
303.383 * * [simplify]: Extracting #4: cost 100 inf + 45
303.384 * * [simplify]: Extracting #5: cost 233 inf + 519
303.385 * * [simplify]: Extracting #6: cost 324 inf + 3173
303.398 * * [simplify]: Extracting #7: cost 164 inf + 53526
303.431 * * [simplify]: Extracting #8: cost 45 inf + 103784
303.500 * * [simplify]: Extracting #9: cost 19 inf + 123562
303.587 * * [simplify]: Extracting #10: cost 5 inf + 139563
303.678 * * [simplify]: Extracting #11: cost 0 inf + 146610
303.755 * [simplify]: Simplified to (/ (* (/ (* (cos (/ K 2)) J) (/ (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* U U) (* U U)))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) -2) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (* U U))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (* U U)))))))))
303.755 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (cos (/ K 2)) J) (/ (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* U U) (* U U)))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) -2) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (* U U))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (* U U))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
303.757 * * * * [progress]: [ 34 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
303.757 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
303.758 * * [simplify]: iters left: 6 (51 enodes)
303.790 * * [simplify]: iters left: 5 (264 enodes)
303.899 * * [simplify]: Extracting #0: cost 1 inf + 0
303.899 * * [simplify]: Extracting #1: cost 30 inf + 0
303.899 * * [simplify]: Extracting #2: cost 59 inf + 1
303.899 * * [simplify]: Extracting #3: cost 68 inf + 44
303.899 * * [simplify]: Extracting #4: cost 100 inf + 45
303.900 * * [simplify]: Extracting #5: cost 219 inf + 479
303.901 * * [simplify]: Extracting #6: cost 307 inf + 3303
303.911 * * [simplify]: Extracting #7: cost 166 inf + 50740
303.946 * * [simplify]: Extracting #8: cost 46 inf + 101146
303.999 * * [simplify]: Extracting #9: cost 19 inf + 125627
304.072 * * [simplify]: Extracting #10: cost 1 inf + 147366
304.154 * * [simplify]: Extracting #11: cost 0 inf + 148832
304.234 * [simplify]: Simplified to (* (/ (sqrt (+ 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* U U) (* U U)))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* U (* (* (* U U) (/ (/ U (* 2 (cos (/ K 2)))) J)) (+ 1 (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))))))
304.234 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* U U) (* U U)))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* U (* (* (* U U) (/ (/ U (* 2 (cos (/ K 2)))) J)) (+ 1 (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
304.236 * * * * [progress]: [ 35 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
304.237 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
304.238 * * [simplify]: iters left: 6 (53 enodes)
304.266 * * [simplify]: iters left: 5 (273 enodes)
304.351 * * [simplify]: Extracting #0: cost 1 inf + 0
304.351 * * [simplify]: Extracting #1: cost 30 inf + 0
304.351 * * [simplify]: Extracting #2: cost 59 inf + 1
304.352 * * [simplify]: Extracting #3: cost 69 inf + 2
304.352 * * [simplify]: Extracting #4: cost 100 inf + 45
304.353 * * [simplify]: Extracting #5: cost 228 inf + 745
304.357 * * [simplify]: Extracting #6: cost 310 inf + 5815
304.380 * * [simplify]: Extracting #7: cost 137 inf + 63690
304.409 * * [simplify]: Extracting #8: cost 37 inf + 109501
304.453 * * [simplify]: Extracting #9: cost 21 inf + 123629
304.504 * * [simplify]: Extracting #10: cost 19 inf + 125401
304.561 * * [simplify]: Extracting #11: cost 5 inf + 144761
304.648 * * [simplify]: Extracting #12: cost 0 inf + 150128
304.713 * * [simplify]: Extracting #13: cost 0 inf + 149328
304.770 * [simplify]: Simplified to (/ (* (/ (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (/ (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* U U) (* U U)))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (* (cos (/ K 2)) J))) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* U U))))))
304.770 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (/ (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* U U) (* U U)))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (* (cos (/ K 2)) J))) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* U U)))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
304.771 * * * * [progress]: [ 36 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
304.771 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
304.772 * * [simplify]: iters left: 6 (51 enodes)
304.788 * * [simplify]: iters left: 5 (263 enodes)
304.883 * * [simplify]: Extracting #0: cost 1 inf + 0
304.883 * * [simplify]: Extracting #1: cost 30 inf + 0
304.883 * * [simplify]: Extracting #2: cost 59 inf + 1
304.883 * * [simplify]: Extracting #3: cost 69 inf + 2
304.884 * * [simplify]: Extracting #4: cost 100 inf + 45
304.884 * * [simplify]: Extracting #5: cost 230 inf + 479
304.889 * * [simplify]: Extracting #6: cost 295 inf + 7271
304.900 * * [simplify]: Extracting #7: cost 141 inf + 64217
304.927 * * [simplify]: Extracting #8: cost 36 inf + 110466
304.988 * * [simplify]: Extracting #9: cost 5 inf + 144389
305.042 * * [simplify]: Extracting #10: cost 0 inf + 150676
305.139 * * [simplify]: Extracting #11: cost 0 inf + 149021
305.204 * * [simplify]: Extracting #12: cost 0 inf + 148421
305.277 * [simplify]: Simplified to (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (sqrt (+ (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* U U) (* U U))) (* (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* J (* 2 (cos (/ K 2)))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (* U (* U U)) (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))))) (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))
305.277 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (sqrt (+ (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* U U) (* U U))) (* (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* J (* 2 (cos (/ K 2)))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (* U (* U U)) (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))))) (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
305.278 * * * * [progress]: [ 37 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
305.278 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
305.279 * * [simplify]: iters left: 6 (53 enodes)
305.297 * * [simplify]: iters left: 5 (274 enodes)
305.431 * * [simplify]: Extracting #0: cost 1 inf + 0
305.432 * * [simplify]: Extracting #1: cost 30 inf + 0
305.432 * * [simplify]: Extracting #2: cost 59 inf + 1
305.432 * * [simplify]: Extracting #3: cost 69 inf + 2
305.433 * * [simplify]: Extracting #4: cost 99 inf + 45
305.434 * * [simplify]: Extracting #5: cost 241 inf + 519
305.436 * * [simplify]: Extracting #6: cost 334 inf + 3630
305.444 * * [simplify]: Extracting #7: cost 252 inf + 24199
305.469 * * [simplify]: Extracting #8: cost 136 inf + 63708
305.512 * * [simplify]: Extracting #9: cost 48 inf + 107595
305.559 * * [simplify]: Extracting #10: cost 24 inf + 125158
305.622 * * [simplify]: Extracting #11: cost 8 inf + 143088
305.684 * * [simplify]: Extracting #12: cost 0 inf + 154333
305.762 * [simplify]: Simplified to (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) (* U U))))))))) (sqrt (sqrt (+ (+ (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* U U) (* U U))) (* (* U U) (* U U))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))))
305.762 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) (* U U))))))))) (sqrt (sqrt (+ (+ (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* U U) (* U U))) (* (* U U) (* U U))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
305.763 * * * * [progress]: [ 38 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
305.763 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
305.764 * * [simplify]: iters left: 6 (50 enodes)
305.781 * * [simplify]: iters left: 5 (260 enodes)
305.881 * * [simplify]: Extracting #0: cost 1 inf + 0
305.881 * * [simplify]: Extracting #1: cost 30 inf + 0
305.881 * * [simplify]: Extracting #2: cost 59 inf + 1
305.881 * * [simplify]: Extracting #3: cost 69 inf + 2
305.882 * * [simplify]: Extracting #4: cost 100 inf + 45
305.882 * * [simplify]: Extracting #5: cost 236 inf + 622
305.885 * * [simplify]: Extracting #6: cost 331 inf + 3735
305.907 * * [simplify]: Extracting #7: cost 162 inf + 61367
305.957 * * [simplify]: Extracting #8: cost 49 inf + 108680
305.992 * * [simplify]: Extracting #9: cost 30 inf + 123117
306.075 * * [simplify]: Extracting #10: cost 4 inf + 151662
306.150 * * [simplify]: Extracting #11: cost 0 inf + 156485
306.231 * [simplify]: Simplified to (/ (/ (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* U (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))))) (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* U U) (* U U)))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))))
306.231 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* U (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))))) (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* U U) (* U U)))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
306.232 * * * * [progress]: [ 39 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
306.233 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
306.233 * * [simplify]: iters left: 6 (52 enodes)
306.250 * * [simplify]: iters left: 5 (270 enodes)
306.378 * * [simplify]: Extracting #0: cost 1 inf + 0
306.378 * * [simplify]: Extracting #1: cost 30 inf + 0
306.378 * * [simplify]: Extracting #2: cost 59 inf + 1
306.378 * * [simplify]: Extracting #3: cost 69 inf + 2
306.379 * * [simplify]: Extracting #4: cost 100 inf + 45
306.379 * * [simplify]: Extracting #5: cost 238 inf + 519
306.381 * * [simplify]: Extracting #6: cost 332 inf + 3953
306.389 * * [simplify]: Extracting #7: cost 199 inf + 45658
306.419 * * [simplify]: Extracting #8: cost 62 inf + 98221
306.466 * * [simplify]: Extracting #9: cost 33 inf + 116582
306.534 * * [simplify]: Extracting #10: cost 5 inf + 145496
306.618 * * [simplify]: Extracting #11: cost 0 inf + 152186
306.691 * [simplify]: Simplified to (* (/ (sqrt (+ 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* U U) (* U U)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* U U) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1))))))))
306.691 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* U U) (* U U)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* U U) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
306.692 * * * * [progress]: [ 40 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
306.693 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
306.693 * * [simplify]: iters left: 6 (51 enodes)
306.709 * * [simplify]: iters left: 5 (259 enodes)
306.803 * * [simplify]: Extracting #0: cost 1 inf + 0
306.803 * * [simplify]: Extracting #1: cost 30 inf + 0
306.803 * * [simplify]: Extracting #2: cost 59 inf + 1
306.804 * * [simplify]: Extracting #3: cost 69 inf + 2
306.804 * * [simplify]: Extracting #4: cost 100 inf + 45
306.805 * * [simplify]: Extracting #5: cost 228 inf + 518
306.806 * * [simplify]: Extracting #6: cost 296 inf + 7957
306.821 * * [simplify]: Extracting #7: cost 146 inf + 60496
306.856 * * [simplify]: Extracting #8: cost 39 inf + 107576
306.914 * * [simplify]: Extracting #9: cost 24 inf + 120071
306.987 * * [simplify]: Extracting #10: cost 5 inf + 141158
307.073 * * [simplify]: Extracting #11: cost 0 inf + 147406
307.143 * [simplify]: Simplified to (* (/ (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (/ (* U (/ U 2)) (* (cos (/ K 2)) J)) (/ (* U (/ U 2)) (* (cos (/ K 2)) J)))))))) (/ -2 (sqrt (sqrt (+ (* (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* U U)) (* U U)) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))))
307.143 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (/ (* U (/ U 2)) (* (cos (/ K 2)) J)) (/ (* U (/ U 2)) (* (cos (/ K 2)) J)))))))) (/ -2 (sqrt (sqrt (+ (* (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* U U)) (* U U)) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
307.144 * * * * [progress]: [ 41 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
307.144 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
307.145 * * [simplify]: iters left: 6 (53 enodes)
307.166 * * [simplify]: iters left: 5 (269 enodes)
307.299 * * [simplify]: Extracting #0: cost 1 inf + 0
307.299 * * [simplify]: Extracting #1: cost 30 inf + 0
307.300 * * [simplify]: Extracting #2: cost 59 inf + 1
307.300 * * [simplify]: Extracting #3: cost 68 inf + 44
307.301 * * [simplify]: Extracting #4: cost 100 inf + 45
307.302 * * [simplify]: Extracting #5: cost 225 inf + 745
307.305 * * [simplify]: Extracting #6: cost 317 inf + 3468
307.325 * * [simplify]: Extracting #7: cost 159 inf + 55255
307.385 * * [simplify]: Extracting #8: cost 33 inf + 110519
307.451 * * [simplify]: Extracting #9: cost 21 inf + 120980
307.493 * * [simplify]: Extracting #10: cost 20 inf + 121765
307.570 * * [simplify]: Extracting #11: cost 5 inf + 139151
307.634 * * [simplify]: Extracting #12: cost 0 inf + 145438
307.694 * [simplify]: Simplified to (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* U U) (* U U)))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))) (sqrt (sqrt (+ (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U U))) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))))))
307.694 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* U U) (* U U)))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))) (sqrt (sqrt (+ (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U U))) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
307.696 * * * * [progress]: [ 42 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
307.697 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
307.698 * * [simplify]: iters left: 6 (51 enodes)
307.718 * * [simplify]: iters left: 5 (264 enodes)
307.816 * * [simplify]: Extracting #0: cost 1 inf + 0
307.816 * * [simplify]: Extracting #1: cost 30 inf + 0
307.816 * * [simplify]: Extracting #2: cost 59 inf + 1
307.817 * * [simplify]: Extracting #3: cost 69 inf + 2
307.817 * * [simplify]: Extracting #4: cost 100 inf + 45
307.817 * * [simplify]: Extracting #5: cost 229 inf + 479
307.819 * * [simplify]: Extracting #6: cost 301 inf + 5326
307.832 * * [simplify]: Extracting #7: cost 144 inf + 58520
307.894 * * [simplify]: Extracting #8: cost 29 inf + 113101
307.936 * * [simplify]: Extracting #9: cost 9 inf + 132959
308.008 * * [simplify]: Extracting #10: cost 1 inf + 143885
308.080 * * [simplify]: Extracting #11: cost 0 inf + 145191
308.140 * [simplify]: Simplified to (* (/ (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U U)))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U U)))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* U U) (* U U))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))))
308.140 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U U)))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U U)))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* U U) (* U U))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
308.142 * * * * [progress]: [ 43 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
308.142 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
308.142 * * [simplify]: iters left: 6 (53 enodes)
308.175 * * [simplify]: iters left: 5 (275 enodes)
308.289 * * [simplify]: Extracting #0: cost 1 inf + 0
308.289 * * [simplify]: Extracting #1: cost 30 inf + 0
308.289 * * [simplify]: Extracting #2: cost 59 inf + 1
308.290 * * [simplify]: Extracting #3: cost 69 inf + 2
308.290 * * [simplify]: Extracting #4: cost 99 inf + 45
308.290 * * [simplify]: Extracting #5: cost 239 inf + 478
308.292 * * [simplify]: Extracting #6: cost 323 inf + 4632
308.304 * * [simplify]: Extracting #7: cost 137 inf + 67933
308.329 * * [simplify]: Extracting #8: cost 39 inf + 111684
308.386 * * [simplify]: Extracting #9: cost 5 inf + 147952
308.449 * * [simplify]: Extracting #10: cost 0 inf + 153188
308.500 * * [simplify]: Extracting #11: cost 0 inf + 152420
308.578 * [simplify]: Simplified to (/ (* (/ (* (cos (/ K 2)) J) (/ (sqrt (sqrt (+ (+ (* (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* U U) (* U U))) (* (* U U) (* U U))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))))) (sqrt (+ 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))))) -2) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* U (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* U U)) (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))))))
308.578 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (cos (/ K 2)) J) (/ (sqrt (sqrt (+ (+ (* (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* U U) (* U U))) (* (* U U) (* U U))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))))) (sqrt (+ 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))))) -2) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* U (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* U U)) (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
308.580 * * * * [progress]: [ 44 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
308.580 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
308.581 * * [simplify]: iters left: 6 (51 enodes)
308.597 * * [simplify]: iters left: 5 (259 enodes)
308.679 * * [simplify]: Extracting #0: cost 1 inf + 0
308.679 * * [simplify]: Extracting #1: cost 30 inf + 0
308.680 * * [simplify]: Extracting #2: cost 59 inf + 1
308.680 * * [simplify]: Extracting #3: cost 69 inf + 2
308.680 * * [simplify]: Extracting #4: cost 100 inf + 45
308.681 * * [simplify]: Extracting #5: cost 226 inf + 377
308.682 * * [simplify]: Extracting #6: cost 317 inf + 2900
308.693 * * [simplify]: Extracting #7: cost 164 inf + 55271
308.734 * * [simplify]: Extracting #8: cost 52 inf + 102151
308.776 * * [simplify]: Extracting #9: cost 36 inf + 110917
308.850 * * [simplify]: Extracting #10: cost 5 inf + 145644
308.930 * * [simplify]: Extracting #11: cost 0 inf + 151778
309.035 * * [simplify]: Extracting #12: cost 0 inf + 151578
309.116 * [simplify]: Simplified to (/ (* (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) U)))))) (sqrt (sqrt (+ (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* U U) (* U U))) (* (* U U) (* U U))) (* (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))
309.116 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) U)))))) (sqrt (sqrt (+ (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* U U) (* U U))) (* (* U U) (* U U))) (* (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
309.118 * * * * [progress]: [ 45 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
309.118 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
309.119 * * [simplify]: iters left: 6 (53 enodes)
309.152 * * [simplify]: iters left: 5 (269 enodes)
309.269 * * [simplify]: Extracting #0: cost 1 inf + 0
309.269 * * [simplify]: Extracting #1: cost 30 inf + 0
309.270 * * [simplify]: Extracting #2: cost 59 inf + 1
309.270 * * [simplify]: Extracting #3: cost 69 inf + 2
309.271 * * [simplify]: Extracting #4: cost 100 inf + 45
309.272 * * [simplify]: Extracting #5: cost 226 inf + 561
309.275 * * [simplify]: Extracting #6: cost 321 inf + 3700
309.294 * * [simplify]: Extracting #7: cost 168 inf + 52968
309.339 * * [simplify]: Extracting #8: cost 51 inf + 98909
309.396 * * [simplify]: Extracting #9: cost 41 inf + 103596
309.428 * * [simplify]: Extracting #10: cost 32 inf + 111143
309.485 * * [simplify]: Extracting #11: cost 4 inf + 140740
309.543 * * [simplify]: Extracting #12: cost 0 inf + 146321
309.612 * [simplify]: Simplified to (/ (/ (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U)) U) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))))) (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* U U) (* U U)))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))))))
309.612 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U)) U) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))))) (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* U U) (* U U)))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
309.614 * * * * [progress]: [ 46 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
309.615 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
309.616 * * [simplify]: iters left: 6 (50 enodes)
309.647 * * [simplify]: iters left: 5 (260 enodes)
309.746 * * [simplify]: Extracting #0: cost 1 inf + 0
309.747 * * [simplify]: Extracting #1: cost 30 inf + 0
309.747 * * [simplify]: Extracting #2: cost 59 inf + 1
309.747 * * [simplify]: Extracting #3: cost 69 inf + 2
309.747 * * [simplify]: Extracting #4: cost 100 inf + 45
309.748 * * [simplify]: Extracting #5: cost 233 inf + 479
309.749 * * [simplify]: Extracting #6: cost 328 inf + 3127
309.767 * * [simplify]: Extracting #7: cost 154 inf + 63052
309.819 * * [simplify]: Extracting #8: cost 51 inf + 105412
309.889 * * [simplify]: Extracting #9: cost 31 inf + 119873
309.954 * * [simplify]: Extracting #10: cost 4 inf + 149403
310.023 * * [simplify]: Extracting #11: cost 0 inf + 154667
310.123 * [simplify]: Simplified to (* (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (+ (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* U U))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* U U))))))) (/ -2 (sqrt (sqrt (+ (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* U U) (* U U))) (* (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))))
310.123 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (+ (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* U U))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* U U))))))) (/ -2 (sqrt (sqrt (+ (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* U U) (* U U))) (* (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
310.124 * * * * [progress]: [ 47 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
310.125 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
310.125 * * [simplify]: iters left: 6 (52 enodes)
310.142 * * [simplify]: iters left: 5 (270 enodes)
310.278 * * [simplify]: Extracting #0: cost 1 inf + 0
310.278 * * [simplify]: Extracting #1: cost 30 inf + 0
310.279 * * [simplify]: Extracting #2: cost 59 inf + 1
310.279 * * [simplify]: Extracting #3: cost 68 inf + 44
310.279 * * [simplify]: Extracting #4: cost 100 inf + 45
310.281 * * [simplify]: Extracting #5: cost 235 inf + 519
310.283 * * [simplify]: Extracting #6: cost 334 inf + 3475
310.295 * * [simplify]: Extracting #7: cost 202 inf + 45514
310.325 * * [simplify]: Extracting #8: cost 51 inf + 106112
310.377 * * [simplify]: Extracting #9: cost 21 inf + 125582
310.432 * * [simplify]: Extracting #10: cost 10 inf + 136663
310.505 * * [simplify]: Extracting #11: cost 0 inf + 149240
310.578 * [simplify]: Simplified to (* (/ (sqrt (+ 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* U U) (* U U)))) (* (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))))) (/ (* (cos (/ K 2)) (* J -2)) (sqrt (sqrt (+ (* (* J (* 2 (cos (/ K 2)))) (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* J (* 2 (cos (/ K 2)))))) (* (* U U) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))))
310.578 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* U U) (* U U)))) (* (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))))) (/ (* (cos (/ K 2)) (* J -2)) (sqrt (sqrt (+ (* (* J (* 2 (cos (/ K 2)))) (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* J (* 2 (cos (/ K 2)))))) (* (* U U) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
310.580 * * * * [progress]: [ 48 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
310.581 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
310.582 * * [simplify]: iters left: 6 (49 enodes)
310.607 * * [simplify]: iters left: 5 (257 enodes)
310.706 * * [simplify]: Extracting #0: cost 1 inf + 0
310.706 * * [simplify]: Extracting #1: cost 30 inf + 0
310.706 * * [simplify]: Extracting #2: cost 59 inf + 1
310.707 * * [simplify]: Extracting #3: cost 68 inf + 44
310.707 * * [simplify]: Extracting #4: cost 100 inf + 45
310.708 * * [simplify]: Extracting #5: cost 232 inf + 520
310.709 * * [simplify]: Extracting #6: cost 307 inf + 4181
310.722 * * [simplify]: Extracting #7: cost 129 inf + 67001
310.767 * * [simplify]: Extracting #8: cost 37 inf + 108827
310.809 * * [simplify]: Extracting #9: cost 17 inf + 127535
310.892 * * [simplify]: Extracting #10: cost 0 inf + 146611
310.993 * [simplify]: Simplified to (/ (* (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* U U) (* U U)))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* (* U U) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))
310.993 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* U U) (* U U)))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* (* U U) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
310.995 * * * * [progress]: [ 49 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
310.996 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
310.997 * * [simplify]: iters left: 6 (51 enodes)
311.031 * * [simplify]: iters left: 5 (268 enodes)
311.178 * * [simplify]: Extracting #0: cost 1 inf + 0
311.178 * * [simplify]: Extracting #1: cost 30 inf + 0
311.178 * * [simplify]: Extracting #2: cost 59 inf + 1
311.178 * * [simplify]: Extracting #3: cost 68 inf + 44
311.179 * * [simplify]: Extracting #4: cost 99 inf + 45
311.180 * * [simplify]: Extracting #5: cost 230 inf + 662
311.188 * * [simplify]: Extracting #6: cost 316 inf + 3306
311.205 * * [simplify]: Extracting #7: cost 157 inf + 54063
311.229 * * [simplify]: Extracting #8: cost 33 inf + 106341
311.280 * * [simplify]: Extracting #9: cost 3 inf + 134388
311.342 * * [simplify]: Extracting #10: cost 0 inf + 138224
311.431 * [simplify]: Simplified to (* (/ (* (sqrt (+ 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))))) (/ -2 (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* U U) (* U U)))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))))))))
311.431 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))))) (/ -2 (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* U U) (* U U)))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
311.433 * * * * [progress]: [ 50 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
311.433 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
311.434 * * [simplify]: iters left: 6 (50 enodes)
311.457 * * [simplify]: iters left: 5 (261 enodes)
311.575 * * [simplify]: Extracting #0: cost 1 inf + 0
311.575 * * [simplify]: Extracting #1: cost 30 inf + 0
311.575 * * [simplify]: Extracting #2: cost 59 inf + 1
311.576 * * [simplify]: Extracting #3: cost 68 inf + 44
311.576 * * [simplify]: Extracting #4: cost 103 inf + 45
311.577 * * [simplify]: Extracting #5: cost 233 inf + 479
311.580 * * [simplify]: Extracting #6: cost 327 inf + 4586
311.601 * * [simplify]: Extracting #7: cost 167 inf + 58575
311.631 * * [simplify]: Extracting #8: cost 51 inf + 106389
311.683 * * [simplify]: Extracting #9: cost 31 inf + 120733
311.770 * * [simplify]: Extracting #10: cost 5 inf + 148117
311.872 * * [simplify]: Extracting #11: cost 0 inf + 154766
311.962 * [simplify]: Simplified to (/ (/ (* (sqrt (+ 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* 2 (cos (/ K 2))) (* J (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))) (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) U) (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) U))))))) (sqrt (sqrt (+ (* (+ 1 (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* U U) (* U U))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))))
311.962 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* 2 (cos (/ K 2))) (* J (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))) (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) U) (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) U))))))) (sqrt (sqrt (+ (* (+ 1 (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* U U) (* U U))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
311.964 * * * * [progress]: [ 51 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
311.965 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
311.966 * * [simplify]: iters left: 6 (52 enodes)
311.995 * * [simplify]: iters left: 5 (270 enodes)
312.080 * * [simplify]: Extracting #0: cost 1 inf + 0
312.080 * * [simplify]: Extracting #1: cost 30 inf + 0
312.081 * * [simplify]: Extracting #2: cost 59 inf + 1
312.081 * * [simplify]: Extracting #3: cost 69 inf + 2
312.081 * * [simplify]: Extracting #4: cost 102 inf + 45
312.083 * * [simplify]: Extracting #5: cost 241 inf + 662
312.085 * * [simplify]: Extracting #6: cost 333 inf + 2900
312.108 * * [simplify]: Extracting #7: cost 140 inf + 66546
312.157 * * [simplify]: Extracting #8: cost 38 inf + 110284
312.215 * * [simplify]: Extracting #9: cost 22 inf + 124490
312.265 * * [simplify]: Extracting #10: cost 9 inf + 138183
312.319 * * [simplify]: Extracting #11: cost 0 inf + 151454
312.387 * [simplify]: Simplified to (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* 2 (cos (/ K 2)))) J) (* (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) U) (/ (/ (/ U 2) J) (cos (/ K 2)))) (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))))) (sqrt (sqrt (+ (+ (* (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* U U) (* U U))) (* (* U U) (* U U))) (* (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))))))
312.387 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* 2 (cos (/ K 2)))) J) (* (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) U) (/ (/ (/ U 2) J) (cos (/ K 2)))) (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))))) (sqrt (sqrt (+ (+ (* (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* U U) (* U U))) (* (* U U) (* U U))) (* (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
312.389 * * * * [progress]: [ 52 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
312.389 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
312.390 * * [simplify]: iters left: 6 (50 enodes)
312.418 * * [simplify]: iters left: 5 (261 enodes)
312.518 * * [simplify]: Extracting #0: cost 1 inf + 0
312.518 * * [simplify]: Extracting #1: cost 30 inf + 0
312.518 * * [simplify]: Extracting #2: cost 59 inf + 1
312.518 * * [simplify]: Extracting #3: cost 68 inf + 44
312.519 * * [simplify]: Extracting #4: cost 101 inf + 45
312.519 * * [simplify]: Extracting #5: cost 231 inf + 479
312.521 * * [simplify]: Extracting #6: cost 331 inf + 4073
312.531 * * [simplify]: Extracting #7: cost 163 inf + 60740
312.574 * * [simplify]: Extracting #8: cost 52 inf + 106331
312.629 * * [simplify]: Extracting #9: cost 31 inf + 120938
312.697 * * [simplify]: Extracting #10: cost 5 inf + 149603
312.799 * * [simplify]: Extracting #11: cost 0 inf + 156893
312.880 * [simplify]: Simplified to (/ (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (cos (/ K 2)) (* (* 2 J) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (+ (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))) (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* U U) (* U U)))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))))))
312.880 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (cos (/ K 2)) (* (* 2 J) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (+ (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))) (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* U U) (* U U)))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
312.881 * * * * [progress]: [ 53 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
312.881 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
312.882 * * [simplify]: iters left: 6 (52 enodes)
312.900 * * [simplify]: iters left: 5 (270 enodes)
313.036 * * [simplify]: Extracting #0: cost 1 inf + 0
313.036 * * [simplify]: Extracting #1: cost 30 inf + 0
313.036 * * [simplify]: Extracting #2: cost 59 inf + 1
313.037 * * [simplify]: Extracting #3: cost 69 inf + 2
313.037 * * [simplify]: Extracting #4: cost 100 inf + 45
313.038 * * [simplify]: Extracting #5: cost 237 inf + 662
313.041 * * [simplify]: Extracting #6: cost 333 inf + 3594
313.063 * * [simplify]: Extracting #7: cost 146 inf + 63560
313.088 * * [simplify]: Extracting #8: cost 48 inf + 101929
313.143 * * [simplify]: Extracting #9: cost 24 inf + 120979
313.206 * * [simplify]: Extracting #10: cost 4 inf + 144168
313.285 * * [simplify]: Extracting #11: cost 0 inf + 149632
313.368 * [simplify]: Simplified to (/ (* (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (cos (/ K 2))) (* 2 J)) (* (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))))))) (sqrt (sqrt (+ (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* U U) (* U U))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))))))
313.368 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (cos (/ K 2))) (* 2 J)) (* (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))))))) (sqrt (sqrt (+ (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* U U) (* U U))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
313.370 * * * * [progress]: [ 54 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
313.371 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
313.372 * * [simplify]: iters left: 6 (49 enodes)
313.405 * * [simplify]: iters left: 5 (258 enodes)
313.538 * * [simplify]: Extracting #0: cost 1 inf + 0
313.538 * * [simplify]: Extracting #1: cost 30 inf + 0
313.538 * * [simplify]: Extracting #2: cost 59 inf + 1
313.539 * * [simplify]: Extracting #3: cost 68 inf + 44
313.539 * * [simplify]: Extracting #4: cost 101 inf + 45
313.540 * * [simplify]: Extracting #5: cost 230 inf + 335
313.543 * * [simplify]: Extracting #6: cost 318 inf + 4012
313.563 * * [simplify]: Extracting #7: cost 156 inf + 61848
313.611 * * [simplify]: Extracting #8: cost 43 inf + 110591
313.681 * * [simplify]: Extracting #9: cost 19 inf + 130922
313.772 * * [simplify]: Extracting #10: cost 5 inf + 146642
313.843 * * [simplify]: Extracting #11: cost 0 inf + 153249
313.912 * [simplify]: Simplified to (/ (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* U U) (* U U))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (sqrt (sqrt (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* U U)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))
313.912 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* U U) (* U U))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (sqrt (sqrt (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* U U)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
313.914 * * * * [progress]: [ 55 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
313.915 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
313.916 * * [simplify]: iters left: 6 (51 enodes)
313.937 * * [simplify]: iters left: 5 (268 enodes)
314.027 * * [simplify]: Extracting #0: cost 1 inf + 0
314.027 * * [simplify]: Extracting #1: cost 30 inf + 0
314.028 * * [simplify]: Extracting #2: cost 59 inf + 1
314.028 * * [simplify]: Extracting #3: cost 69 inf + 2
314.028 * * [simplify]: Extracting #4: cost 99 inf + 45
314.029 * * [simplify]: Extracting #5: cost 227 inf + 662
314.030 * * [simplify]: Extracting #6: cost 312 inf + 3131
314.040 * * [simplify]: Extracting #7: cost 144 inf + 58298
314.065 * * [simplify]: Extracting #8: cost 35 inf + 103988
314.116 * * [simplify]: Extracting #9: cost 3 inf + 133366
314.180 * * [simplify]: Extracting #10: cost 0 inf + 137202
314.226 * [simplify]: Simplified to (* (/ (* (sqrt (+ 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))))) (/ -2 (sqrt (sqrt (+ (* (+ 1 (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (* U U) (* U U))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))))))))
314.226 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))))) (/ -2 (sqrt (sqrt (+ (* (+ 1 (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (* U U) (* U U))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
314.227 * * * * [progress]: [ 56 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
314.228 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
314.228 * * [simplify]: iters left: 6 (50 enodes)
314.246 * * [simplify]: iters left: 5 (261 enodes)
314.355 * * [simplify]: Extracting #0: cost 1 inf + 0
314.355 * * [simplify]: Extracting #1: cost 30 inf + 0
314.355 * * [simplify]: Extracting #2: cost 59 inf + 1
314.355 * * [simplify]: Extracting #3: cost 69 inf + 2
314.356 * * [simplify]: Extracting #4: cost 103 inf + 45
314.357 * * [simplify]: Extracting #5: cost 231 inf + 479
314.359 * * [simplify]: Extracting #6: cost 330 inf + 3853
314.381 * * [simplify]: Extracting #7: cost 126 inf + 90083
314.416 * * [simplify]: Extracting #8: cost 46 inf + 119515
314.476 * * [simplify]: Extracting #9: cost 34 inf + 118853
314.540 * * [simplify]: Extracting #10: cost 4 inf + 154419
314.614 * * [simplify]: Extracting #11: cost 0 inf + 152202
314.690 * * [simplify]: Extracting #12: cost 0 inf + 150842
314.775 * [simplify]: Simplified to (/ -2 (/ (* (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))) (* (* U U) (* U U)))) (* (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))) (* J (* 2 (cos (/ K 2))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (* (* U (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))) (+ 1 (+ (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))))))))))) (* (sqrt (+ 1 (* (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))))) (* (cos (/ K 2)) J))))
314.775 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ -2 (/ (* (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))) (* (* U U) (* U U)))) (* (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))) (* J (* 2 (cos (/ K 2))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (* (* U (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))) (+ 1 (+ (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))))))))))) (* (sqrt (+ 1 (* (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))))) (* (cos (/ K 2)) J)))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
314.776 * * * * [progress]: [ 57 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
314.776 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
314.777 * * [simplify]: iters left: 6 (52 enodes)
314.793 * * [simplify]: iters left: 5 (270 enodes)
314.891 * * [simplify]: Extracting #0: cost 1 inf + 0
314.891 * * [simplify]: Extracting #1: cost 30 inf + 0
314.891 * * [simplify]: Extracting #2: cost 59 inf + 1
314.892 * * [simplify]: Extracting #3: cost 68 inf + 44
314.892 * * [simplify]: Extracting #4: cost 102 inf + 45
314.895 * * [simplify]: Extracting #5: cost 233 inf + 805
314.897 * * [simplify]: Extracting #6: cost 319 inf + 3762
314.908 * * [simplify]: Extracting #7: cost 130 inf + 66464
314.960 * * [simplify]: Extracting #8: cost 32 inf + 109915
315.024 * * [simplify]: Extracting #9: cost 19 inf + 121446
315.108 * * [simplify]: Extracting #10: cost 5 inf + 137407
315.181 * * [simplify]: Extracting #11: cost 0 inf + 144734
315.265 * [simplify]: Simplified to (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 2) (* (cos (/ K 2)) J)) (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) U) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) U)))))) (/ -2 (sqrt (sqrt (+ (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* U U) (* U U))) (* (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))))) (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))
315.265 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 2) (* (cos (/ K 2)) J)) (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) U) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) U)))))) (/ -2 (sqrt (sqrt (+ (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* U U) (* U U))) (* (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))))) (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
315.266 * * * * [progress]: [ 58 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
315.266 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
315.266 * * [simplify]: iters left: 6 (50 enodes)
315.282 * * [simplify]: iters left: 5 (261 enodes)
315.365 * * [simplify]: Extracting #0: cost 1 inf + 0
315.365 * * [simplify]: Extracting #1: cost 30 inf + 0
315.365 * * [simplify]: Extracting #2: cost 59 inf + 1
315.365 * * [simplify]: Extracting #3: cost 69 inf + 2
315.366 * * [simplify]: Extracting #4: cost 105 inf + 45
315.366 * * [simplify]: Extracting #5: cost 235 inf + 437
315.368 * * [simplify]: Extracting #6: cost 338 inf + 3148
315.375 * * [simplify]: Extracting #7: cost 213 inf + 43613
315.421 * * [simplify]: Extracting #8: cost 65 inf + 102578
315.496 * * [simplify]: Extracting #9: cost 19 inf + 134339
315.573 * * [simplify]: Extracting #10: cost 3 inf + 152308
315.650 * * [simplify]: Extracting #11: cost 0 inf + 156426
315.714 * [simplify]: Simplified to (/ (/ (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* U U) (* U U)))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))) (sqrt (sqrt (+ (* (cos (/ K 2)) (* (* 2 J) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) U) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) U)))))))
315.714 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* U U) (* U U)))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))) (sqrt (sqrt (+ (* (cos (/ K 2)) (* (* 2 J) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) U) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) U))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
315.716 * * * * [progress]: [ 59 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
315.716 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
315.717 * * [simplify]: iters left: 6 (52 enodes)
315.742 * * [simplify]: iters left: 5 (270 enodes)
315.828 * * [simplify]: Extracting #0: cost 1 inf + 0
315.828 * * [simplify]: Extracting #1: cost 30 inf + 0
315.828 * * [simplify]: Extracting #2: cost 59 inf + 1
315.828 * * [simplify]: Extracting #3: cost 68 inf + 44
315.828 * * [simplify]: Extracting #4: cost 104 inf + 45
315.829 * * [simplify]: Extracting #5: cost 235 inf + 847
315.830 * * [simplify]: Extracting #6: cost 317 inf + 4046
315.849 * * [simplify]: Extracting #7: cost 136 inf + 63326
315.905 * * [simplify]: Extracting #8: cost 33 inf + 108520
315.970 * * [simplify]: Extracting #9: cost 19 inf + 119356
316.054 * * [simplify]: Extracting #10: cost 4 inf + 137021
316.147 * * [simplify]: Extracting #11: cost 0 inf + 142563
316.218 * [simplify]: Simplified to (/ (/ (* (* -2 (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 2) (* (cos (/ K 2)) J)) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1)))))) (sqrt (sqrt (+ (* (* U U) (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* U U))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))))
316.218 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* -2 (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 2) (* (cos (/ K 2)) J)) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1)))))) (sqrt (sqrt (+ (* (* U U) (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* U U))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
316.219 * * * * [progress]: [ 60 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3)))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
316.220 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3))))))
316.220 * * [simplify]: iters left: 6 (50 enodes)
316.248 * * [simplify]: iters left: 5 (256 enodes)
316.348 * * [simplify]: Extracting #0: cost 1 inf + 0
316.348 * * [simplify]: Extracting #1: cost 30 inf + 0
316.348 * * [simplify]: Extracting #2: cost 59 inf + 1
316.348 * * [simplify]: Extracting #3: cost 68 inf + 44
316.348 * * [simplify]: Extracting #4: cost 99 inf + 45
316.349 * * [simplify]: Extracting #5: cost 222 inf + 478
316.350 * * [simplify]: Extracting #6: cost 291 inf + 2831
316.359 * * [simplify]: Extracting #7: cost 148 inf + 51829
316.396 * * [simplify]: Extracting #8: cost 33 inf + 105725
316.440 * * [simplify]: Extracting #9: cost 3 inf + 135424
316.486 * * [simplify]: Extracting #10: cost 0 inf + 137250
316.545 * * [simplify]: Extracting #11: cost 0 inf + 137119
316.612 * [simplify]: Simplified to (/ (/ (* (sqrt (+ 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* U U) (* U U)))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))))) -2)) (sqrt (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))))
316.612 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* U U) (* U U)))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))))) -2)) (sqrt (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
316.614 * * * * [progress]: [ 61 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
316.614 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
316.615 * * [simplify]: iters left: 6 (50 enodes)
316.632 * * [simplify]: iters left: 5 (249 enodes)
316.713 * * [simplify]: Extracting #0: cost 1 inf + 0
316.713 * * [simplify]: Extracting #1: cost 30 inf + 0
316.714 * * [simplify]: Extracting #2: cost 59 inf + 1
316.714 * * [simplify]: Extracting #3: cost 68 inf + 44
316.714 * * [simplify]: Extracting #4: cost 102 inf + 45
316.716 * * [simplify]: Extracting #5: cost 221 inf + 580
316.718 * * [simplify]: Extracting #6: cost 278 inf + 4627
316.741 * * [simplify]: Extracting #7: cost 113 inf + 60083
316.777 * * [simplify]: Extracting #8: cost 41 inf + 88708
316.806 * * [simplify]: Extracting #9: cost 21 inf + 105776
316.848 * * [simplify]: Extracting #10: cost 2 inf + 125982
316.923 * * [simplify]: Extracting #11: cost 0 inf + 128273
316.980 * [simplify]: Simplified to (/ (/ (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* J (* (cos (/ K 2)) -2))) (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* U U) (* U U)))) (* (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))) (sqrt (sqrt (- (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))
316.981 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* J (* (cos (/ K 2)) -2))) (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* U U) (* U U)))) (* (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))) (sqrt (sqrt (- (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
316.982 * * * * [progress]: [ 62 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
316.982 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
316.982 * * [simplify]: iters left: 6 (50 enodes)
316.998 * * [simplify]: iters left: 5 (260 enodes)
317.092 * * [simplify]: Extracting #0: cost 1 inf + 0
317.092 * * [simplify]: Extracting #1: cost 30 inf + 0
317.092 * * [simplify]: Extracting #2: cost 59 inf + 1
317.093 * * [simplify]: Extracting #3: cost 68 inf + 44
317.093 * * [simplify]: Extracting #4: cost 103 inf + 45
317.094 * * [simplify]: Extracting #5: cost 231 inf + 520
317.097 * * [simplify]: Extracting #6: cost 304 inf + 4758
317.118 * * [simplify]: Extracting #7: cost 134 inf + 60998
317.167 * * [simplify]: Extracting #8: cost 49 inf + 94191
317.226 * * [simplify]: Extracting #9: cost 22 inf + 117473
317.312 * * [simplify]: Extracting #10: cost 1 inf + 141971
317.400 * * [simplify]: Extracting #11: cost 0 inf + 143077
317.488 * [simplify]: Simplified to (/ (/ (* (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U U) (* U U)) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U U)))))))) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* U U) (* U U)) (* (* (* U U) (* U U)) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))
317.488 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U U) (* U U)) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U U)))))))) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* U U) (* U U)) (* (* (* U U) (* U U)) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
317.490 * * * * [progress]: [ 63 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
317.490 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
317.491 * * [simplify]: iters left: 6 (38 enodes)
317.509 * * [simplify]: iters left: 5 (188 enodes)
317.566 * * [simplify]: Extracting #0: cost 1 inf + 0
317.566 * * [simplify]: Extracting #1: cost 24 inf + 0
317.566 * * [simplify]: Extracting #2: cost 51 inf + 1
317.566 * * [simplify]: Extracting #3: cost 59 inf + 44
317.566 * * [simplify]: Extracting #4: cost 108 inf + 45
317.567 * * [simplify]: Extracting #5: cost 244 inf + 560
317.568 * * [simplify]: Extracting #6: cost 233 inf + 4765
317.576 * * [simplify]: Extracting #7: cost 85 inf + 46518
317.597 * * [simplify]: Extracting #8: cost 26 inf + 75255
317.636 * * [simplify]: Extracting #9: cost 5 inf + 92908
317.664 * * [simplify]: Extracting #10: cost 0 inf + 97717
317.705 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* (* U U) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* U U) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* U U) (* U U))))))
317.705 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* (* U U) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* U U) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* U U) (* U U)))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
317.705 * * * * [progress]: [ 64 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
317.706 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
317.706 * * [simplify]: iters left: 6 (53 enodes)
317.726 * * [simplify]: iters left: 5 (275 enodes)
317.827 * * [simplify]: Extracting #0: cost 1 inf + 0
317.827 * * [simplify]: Extracting #1: cost 30 inf + 0
317.828 * * [simplify]: Extracting #2: cost 59 inf + 1
317.828 * * [simplify]: Extracting #3: cost 69 inf + 2
317.828 * * [simplify]: Extracting #4: cost 99 inf + 45
317.829 * * [simplify]: Extracting #5: cost 237 inf + 519
317.830 * * [simplify]: Extracting #6: cost 332 inf + 2686
317.840 * * [simplify]: Extracting #7: cost 162 inf + 55442
317.870 * * [simplify]: Extracting #8: cost 62 inf + 94342
317.897 * * [simplify]: Extracting #9: cost 34 inf + 110005
317.946 * * [simplify]: Extracting #10: cost 17 inf + 126757
317.998 * * [simplify]: Extracting #11: cost 8 inf + 137109
318.056 * * [simplify]: Extracting #12: cost 0 inf + 147954
318.115 * * [simplify]: Extracting #13: cost 0 inf + 147194
318.204 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U U) (* U U)) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* U U)) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* U U)))))))) -2) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ (+ 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* U (* U U)) (/ U (* 2 (* (cos (/ K 2)) J)))))))))
318.205 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U U) (* U U)) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* U U)) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* U U)))))))) -2) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ (+ 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* U (* U U)) (/ U (* 2 (* (cos (/ K 2)) J))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
318.207 * * * * [progress]: [ 65 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
318.207 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
318.208 * * [simplify]: iters left: 6 (46 enodes)
318.226 * * [simplify]: iters left: 5 (234 enodes)
318.303 * * [simplify]: Extracting #0: cost 1 inf + 0
318.303 * * [simplify]: Extracting #1: cost 30 inf + 0
318.303 * * [simplify]: Extracting #2: cost 59 inf + 1
318.303 * * [simplify]: Extracting #3: cost 69 inf + 2
318.303 * * [simplify]: Extracting #4: cost 94 inf + 45
318.304 * * [simplify]: Extracting #5: cost 203 inf + 580
318.305 * * [simplify]: Extracting #6: cost 298 inf + 2589
318.313 * * [simplify]: Extracting #7: cost 139 inf + 50104
318.337 * * [simplify]: Extracting #8: cost 49 inf + 83445
318.363 * * [simplify]: Extracting #9: cost 28 inf + 97776
318.397 * * [simplify]: Extracting #10: cost 13 inf + 113239
318.453 * * [simplify]: Extracting #11: cost 1 inf + 126787
318.523 * * [simplify]: Extracting #12: cost 0 inf + 127973
318.565 * [simplify]: Simplified to (/ (* (/ (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* U U)) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* U U))) (* (* U U) (* U U)))))) (* (cos (/ K 2)) J))) -2) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J))) (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))
318.565 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* U U)) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* U U))) (* (* U U) (* U U)))))) (* (cos (/ K 2)) J))) -2) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J))) (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
318.566 * * * * [progress]: [ 66 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
318.567 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
318.567 * * [simplify]: iters left: 6 (53 enodes)
318.585 * * [simplify]: iters left: 5 (274 enodes)
318.675 * * [simplify]: Extracting #0: cost 1 inf + 0
318.675 * * [simplify]: Extracting #1: cost 30 inf + 0
318.675 * * [simplify]: Extracting #2: cost 59 inf + 1
318.675 * * [simplify]: Extracting #3: cost 69 inf + 2
318.675 * * [simplify]: Extracting #4: cost 101 inf + 45
318.676 * * [simplify]: Extracting #5: cost 239 inf + 437
318.677 * * [simplify]: Extracting #6: cost 331 inf + 3556
318.687 * * [simplify]: Extracting #7: cost 171 inf + 52682
318.712 * * [simplify]: Extracting #8: cost 75 inf + 91045
318.757 * * [simplify]: Extracting #9: cost 35 inf + 113772
318.828 * * [simplify]: Extracting #10: cost 8 inf + 143980
318.896 * * [simplify]: Extracting #11: cost 0 inf + 155146
318.955 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U U) (* U U)) (* (* (* U U) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* U U) (* U (/ (/ U (cos (/ K 2))) (* 2 J)))))))))))
318.955 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U U) (* U U)) (* (* (* U U) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* U U) (* U (/ (/ U (cos (/ K 2))) (* 2 J))))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
318.956 * * * * [progress]: [ 67 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
318.956 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
318.957 * * [simplify]: iters left: 6 (46 enodes)
318.972 * * [simplify]: iters left: 5 (233 enodes)
319.054 * * [simplify]: Extracting #0: cost 1 inf + 0
319.054 * * [simplify]: Extracting #1: cost 30 inf + 0
319.054 * * [simplify]: Extracting #2: cost 59 inf + 1
319.055 * * [simplify]: Extracting #3: cost 69 inf + 2
319.055 * * [simplify]: Extracting #4: cost 94 inf + 45
319.059 * * [simplify]: Extracting #5: cost 201 inf + 580
319.062 * * [simplify]: Extracting #6: cost 290 inf + 2764
319.076 * * [simplify]: Extracting #7: cost 139 inf + 47900
319.111 * * [simplify]: Extracting #8: cost 46 inf + 82354
319.161 * * [simplify]: Extracting #9: cost 19 inf + 104998
319.207 * * [simplify]: Extracting #10: cost 2 inf + 123475
319.258 * * [simplify]: Extracting #11: cost 0 inf + 125927
319.305 * [simplify]: Simplified to (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1))) (* (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (+ (* (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* (* U U) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* U U) (* U U))))))))
319.305 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1))) (* (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (+ (* (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* (* U U) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* U U) (* U U)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
319.307 * * * * [progress]: [ 68 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
319.307 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
319.308 * * [simplify]: iters left: 6 (53 enodes)
319.341 * * [simplify]: iters left: 5 (275 enodes)
319.465 * * [simplify]: Extracting #0: cost 1 inf + 0
319.465 * * [simplify]: Extracting #1: cost 30 inf + 0
319.465 * * [simplify]: Extracting #2: cost 59 inf + 1
319.465 * * [simplify]: Extracting #3: cost 69 inf + 2
319.465 * * [simplify]: Extracting #4: cost 100 inf + 45
319.466 * * [simplify]: Extracting #5: cost 246 inf + 662
319.467 * * [simplify]: Extracting #6: cost 336 inf + 4093
319.476 * * [simplify]: Extracting #7: cost 198 inf + 46547
319.504 * * [simplify]: Extracting #8: cost 77 inf + 93986
319.558 * * [simplify]: Extracting #9: cost 41 inf + 113125
319.597 * * [simplify]: Extracting #10: cost 31 inf + 122576
319.651 * * [simplify]: Extracting #11: cost 2 inf + 156438
319.727 * * [simplify]: Extracting #12: cost 0 inf + 159410
319.795 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U)) (* U (+ (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* (* (* U U) (* U U)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) (* U U))))))))
319.795 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U)) (* U (+ (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* (* (* U U) (* U U)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) (* U U)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
319.796 * * * * [progress]: [ 69 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
319.797 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
319.798 * * [simplify]: iters left: 6 (46 enodes)
319.826 * * [simplify]: iters left: 5 (233 enodes)
319.913 * * [simplify]: Extracting #0: cost 1 inf + 0
319.913 * * [simplify]: Extracting #1: cost 30 inf + 0
319.913 * * [simplify]: Extracting #2: cost 59 inf + 1
319.914 * * [simplify]: Extracting #3: cost 69 inf + 2
319.914 * * [simplify]: Extracting #4: cost 91 inf + 45
319.915 * * [simplify]: Extracting #5: cost 202 inf + 580
319.917 * * [simplify]: Extracting #6: cost 287 inf + 2914
319.932 * * [simplify]: Extracting #7: cost 135 inf + 49695
319.951 * * [simplify]: Extracting #8: cost 48 inf + 82432
319.980 * * [simplify]: Extracting #9: cost 20 inf + 107859
320.024 * * [simplify]: Extracting #10: cost 0 inf + 129051
320.070 * * [simplify]: Extracting #11: cost 0 inf + 128931
320.116 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) J)) (* (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (* U U) (* U (/ (/ (/ U 2) J) (cos (/ K 2))))) (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (* U U) (* U U)) (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))))) -2)
320.116 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) J)) (* (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (* U U) (* U (/ (/ (/ U 2) J) (cos (/ K 2))))) (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (* U U) (* U U)) (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))))) -2) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
320.118 * * * * [progress]: [ 70 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
320.119 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
320.121 * * [simplify]: iters left: 6 (52 enodes)
320.145 * * [simplify]: iters left: 5 (271 enodes)
320.256 * * [simplify]: Extracting #0: cost 1 inf + 0
320.256 * * [simplify]: Extracting #1: cost 30 inf + 0
320.256 * * [simplify]: Extracting #2: cost 59 inf + 1
320.256 * * [simplify]: Extracting #3: cost 68 inf + 44
320.256 * * [simplify]: Extracting #4: cost 102 inf + 45
320.257 * * [simplify]: Extracting #5: cost 242 inf + 519
320.259 * * [simplify]: Extracting #6: cost 340 inf + 3635
320.270 * * [simplify]: Extracting #7: cost 211 inf + 44143
320.318 * * [simplify]: Extracting #8: cost 61 inf + 103635
320.369 * * [simplify]: Extracting #9: cost 32 inf + 121371
320.432 * * [simplify]: Extracting #10: cost 7 inf + 147771
320.516 * * [simplify]: Extracting #11: cost 0 inf + 157470
320.605 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (+ (+ 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* U U)))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U U) (* U U)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* U U)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* U U)))))))))
320.606 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (+ (+ 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* U U)))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U U) (* U U)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* U U)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* U U))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
320.607 * * * * [progress]: [ 71 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
320.607 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
320.608 * * [simplify]: iters left: 6 (45 enodes)
320.624 * * [simplify]: iters left: 5 (229 enodes)
320.706 * * [simplify]: Extracting #0: cost 1 inf + 0
320.706 * * [simplify]: Extracting #1: cost 30 inf + 0
320.706 * * [simplify]: Extracting #2: cost 59 inf + 1
320.706 * * [simplify]: Extracting #3: cost 68 inf + 44
320.707 * * [simplify]: Extracting #4: cost 94 inf + 45
320.708 * * [simplify]: Extracting #5: cost 215 inf + 377
320.710 * * [simplify]: Extracting #6: cost 314 inf + 2489
320.728 * * [simplify]: Extracting #7: cost 140 inf + 55151
320.768 * * [simplify]: Extracting #8: cost 49 inf + 91075
320.822 * * [simplify]: Extracting #9: cost 21 inf + 113103
320.876 * * [simplify]: Extracting #10: cost 1 inf + 136855
320.959 * * [simplify]: Extracting #11: cost 0 inf + 138001
321.018 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) 1)) (* (cos (/ K 2)) J)) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) U)))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* (* U U) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* U U) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* U U) (* U U)))))))) -2)
321.018 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) 1)) (* (cos (/ K 2)) J)) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) U)))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* (* U U) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* U U) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* U U) (* U U)))))))) -2) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
321.019 * * * * [progress]: [ 72 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
321.019 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
321.020 * * [simplify]: iters left: 6 (53 enodes)
321.050 * * [simplify]: iters left: 5 (270 enodes)
321.155 * * [simplify]: Extracting #0: cost 1 inf + 0
321.155 * * [simplify]: Extracting #1: cost 30 inf + 0
321.155 * * [simplify]: Extracting #2: cost 59 inf + 1
321.155 * * [simplify]: Extracting #3: cost 68 inf + 44
321.156 * * [simplify]: Extracting #4: cost 101 inf + 45
321.157 * * [simplify]: Extracting #5: cost 231 inf + 846
321.158 * * [simplify]: Extracting #6: cost 315 inf + 4248
321.167 * * [simplify]: Extracting #7: cost 158 inf + 54119
321.201 * * [simplify]: Extracting #8: cost 72 inf + 89484
321.258 * * [simplify]: Extracting #9: cost 29 inf + 116800
321.319 * * [simplify]: Extracting #10: cost 2 inf + 148332
321.386 * * [simplify]: Extracting #11: cost 0 inf + 150264
321.454 * * [simplify]: Extracting #12: cost 0 inf + 150224
321.548 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U U) (* U U)) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (+ 1 (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) (* U (/ (/ U (cos (/ K 2))) (* 2 J))))))))))
321.548 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U U) (* U U)) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (+ 1 (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) (* U (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
321.550 * * * * [progress]: [ 73 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
321.550 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
321.551 * * [simplify]: iters left: 6 (46 enodes)
321.580 * * [simplify]: iters left: 5 (228 enodes)
321.670 * * [simplify]: Extracting #0: cost 1 inf + 0
321.670 * * [simplify]: Extracting #1: cost 30 inf + 0
321.670 * * [simplify]: Extracting #2: cost 59 inf + 1
321.670 * * [simplify]: Extracting #3: cost 69 inf + 2
321.671 * * [simplify]: Extracting #4: cost 94 inf + 45
321.671 * * [simplify]: Extracting #5: cost 213 inf + 437
321.673 * * [simplify]: Extracting #6: cost 306 inf + 3304
321.681 * * [simplify]: Extracting #7: cost 147 inf + 48981
321.708 * * [simplify]: Extracting #8: cost 50 inf + 87353
321.743 * * [simplify]: Extracting #9: cost 25 inf + 106510
321.781 * * [simplify]: Extracting #10: cost 14 inf + 117919
321.839 * * [simplify]: Extracting #11: cost 0 inf + 135411
321.908 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U U))) (* (* U U) (* U U)))))) -2)) (sqrt (sqrt (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* U U))) (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))
321.908 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U U))) (* (* U U) (* U U)))))) -2)) (sqrt (sqrt (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* U U))) (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
321.910 * * * * [progress]: [ 74 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
321.910 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
321.911 * * [simplify]: iters left: 6 (53 enodes)
321.928 * * [simplify]: iters left: 5 (276 enodes)
322.033 * * [simplify]: Extracting #0: cost 1 inf + 0
322.033 * * [simplify]: Extracting #1: cost 30 inf + 0
322.033 * * [simplify]: Extracting #2: cost 59 inf + 1
322.033 * * [simplify]: Extracting #3: cost 69 inf + 2
322.034 * * [simplify]: Extracting #4: cost 100 inf + 45
322.034 * * [simplify]: Extracting #5: cost 245 inf + 662
322.037 * * [simplify]: Extracting #6: cost 334 inf + 4054
322.055 * * [simplify]: Extracting #7: cost 184 inf + 50687
322.099 * * [simplify]: Extracting #8: cost 67 inf + 99194
322.145 * * [simplify]: Extracting #9: cost 22 inf + 127520
322.201 * * [simplify]: Extracting #10: cost 20 inf + 129290
322.261 * * [simplify]: Extracting #11: cost 7 inf + 144664
322.324 * * [simplify]: Extracting #12: cost 0 inf + 154803
322.397 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* (* U U) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* U U) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* U U) (* U U))))))) (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (+ 1 (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* U U)))))))))
322.397 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* (* U U) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* U U) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* U U) (* U U))))))) (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (+ 1 (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* U U))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
322.399 * * * * [progress]: [ 75 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
322.399 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
322.400 * * [simplify]: iters left: 6 (46 enodes)
322.427 * * [simplify]: iters left: 5 (234 enodes)
322.548 * * [simplify]: Extracting #0: cost 1 inf + 0
322.548 * * [simplify]: Extracting #1: cost 30 inf + 0
322.548 * * [simplify]: Extracting #2: cost 59 inf + 1
322.548 * * [simplify]: Extracting #3: cost 69 inf + 2
322.549 * * [simplify]: Extracting #4: cost 91 inf + 45
322.550 * * [simplify]: Extracting #5: cost 203 inf + 437
322.552 * * [simplify]: Extracting #6: cost 291 inf + 2441
322.568 * * [simplify]: Extracting #7: cost 137 inf + 47447
322.602 * * [simplify]: Extracting #8: cost 50 inf + 79493
322.640 * * [simplify]: Extracting #9: cost 20 inf + 103020
322.703 * * [simplify]: Extracting #10: cost 3 inf + 120856
322.758 * * [simplify]: Extracting #11: cost 0 inf + 124852
322.802 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U U) (* U U)) (* (* (* U U) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (/ U (* 2 (* (cos (/ K 2)) J)))))))))) (/ (* (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (+ (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))))))
322.802 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U U) (* U U)) (* (* (* U U) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (/ U (* 2 (* (cos (/ K 2)) J)))))))))) (/ (* (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (+ (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
322.803 * * * * [progress]: [ 76 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
322.803 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
322.804 * * [simplify]: iters left: 6 (53 enodes)
322.832 * * [simplify]: iters left: 5 (271 enodes)
322.910 * * [simplify]: Extracting #0: cost 1 inf + 0
322.910 * * [simplify]: Extracting #1: cost 30 inf + 0
322.910 * * [simplify]: Extracting #2: cost 59 inf + 1
322.911 * * [simplify]: Extracting #3: cost 69 inf + 2
322.911 * * [simplify]: Extracting #4: cost 101 inf + 45
322.912 * * [simplify]: Extracting #5: cost 233 inf + 519
322.919 * * [simplify]: Extracting #6: cost 327 inf + 3433
322.936 * * [simplify]: Extracting #7: cost 177 inf + 50117
322.972 * * [simplify]: Extracting #8: cost 84 inf + 88554
323.006 * * [simplify]: Extracting #9: cost 38 inf + 113067
323.074 * * [simplify]: Extracting #10: cost 20 inf + 131004
323.137 * * [simplify]: Extracting #11: cost 2 inf + 151065
323.205 * * [simplify]: Extracting #12: cost 0 inf + 153637
323.269 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (+ 1 (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) U) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) U)))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U U) (* U U)) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U)))))))))
323.269 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (+ 1 (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) U) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) U)))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U U) (* U U)) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
323.271 * * * * [progress]: [ 77 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
323.272 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
323.272 * * [simplify]: iters left: 6 (46 enodes)
323.301 * * [simplify]: iters left: 5 (229 enodes)
323.369 * * [simplify]: Extracting #0: cost 1 inf + 0
323.369 * * [simplify]: Extracting #1: cost 30 inf + 0
323.369 * * [simplify]: Extracting #2: cost 59 inf + 1
323.370 * * [simplify]: Extracting #3: cost 69 inf + 2
323.370 * * [simplify]: Extracting #4: cost 94 inf + 45
323.370 * * [simplify]: Extracting #5: cost 214 inf + 520
323.372 * * [simplify]: Extracting #6: cost 317 inf + 2202
323.390 * * [simplify]: Extracting #7: cost 158 inf + 47756
323.415 * * [simplify]: Extracting #8: cost 63 inf + 82487
323.453 * * [simplify]: Extracting #9: cost 17 inf + 116884
323.494 * * [simplify]: Extracting #10: cost 0 inf + 135040
323.554 * [simplify]: Simplified to (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1))) (* (sqrt (sqrt (+ (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) (* U (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* U U)) (* U U)))))))
323.554 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1))) (* (sqrt (sqrt (+ (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) (* U (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* U U)) (* U U))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
323.556 * * * * [progress]: [ 78 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
323.556 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
323.557 * * [simplify]: iters left: 6 (52 enodes)
323.577 * * [simplify]: iters left: 5 (271 enodes)
323.677 * * [simplify]: Extracting #0: cost 1 inf + 0
323.677 * * [simplify]: Extracting #1: cost 30 inf + 0
323.677 * * [simplify]: Extracting #2: cost 59 inf + 1
323.677 * * [simplify]: Extracting #3: cost 68 inf + 44
323.678 * * [simplify]: Extracting #4: cost 101 inf + 45
323.679 * * [simplify]: Extracting #5: cost 241 inf + 519
323.682 * * [simplify]: Extracting #6: cost 342 inf + 3697
323.695 * * [simplify]: Extracting #7: cost 224 inf + 39007
323.723 * * [simplify]: Extracting #8: cost 66 inf + 99334
323.766 * * [simplify]: Extracting #9: cost 37 inf + 114536
323.829 * * [simplify]: Extracting #10: cost 9 inf + 141008
323.911 * * [simplify]: Extracting #11: cost 0 inf + 152959
323.970 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (+ 1 (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* U U)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U U) (* U U)) (* (* (* U U) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* U U) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))
323.970 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (+ 1 (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* U U)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U U) (* U U)) (* (* (* U U) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* U U) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
323.971 * * * * [progress]: [ 79 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
323.971 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
323.972 * * [simplify]: iters left: 6 (45 enodes)
324.002 * * [simplify]: iters left: 5 (229 enodes)
324.097 * * [simplify]: Extracting #0: cost 1 inf + 0
324.097 * * [simplify]: Extracting #1: cost 30 inf + 0
324.097 * * [simplify]: Extracting #2: cost 59 inf + 1
324.097 * * [simplify]: Extracting #3: cost 68 inf + 44
324.098 * * [simplify]: Extracting #4: cost 94 inf + 45
324.098 * * [simplify]: Extracting #5: cost 215 inf + 377
324.102 * * [simplify]: Extracting #6: cost 312 inf + 2551
324.111 * * [simplify]: Extracting #7: cost 142 inf + 55249
324.138 * * [simplify]: Extracting #8: cost 46 inf + 90296
324.167 * * [simplify]: Extracting #9: cost 20 inf + 112156
324.217 * * [simplify]: Extracting #10: cost 1 inf + 134922
324.295 * * [simplify]: Extracting #11: cost 0 inf + 136028
324.357 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) (* U U))) (* (* U U) (* U U))))))) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) (* U (/ (/ U (cos (/ K 2))) (* 2 J)))))))))
324.358 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) (* U U))) (* (* U U) (* U U))))))) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) (* U (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
324.358 * * * * [progress]: [ 80 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
324.359 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
324.359 * * [simplify]: iters left: 6 (51 enodes)
324.380 * * [simplify]: iters left: 5 (269 enodes)
324.477 * * [simplify]: Extracting #0: cost 1 inf + 0
324.477 * * [simplify]: Extracting #1: cost 30 inf + 0
324.478 * * [simplify]: Extracting #2: cost 59 inf + 1
324.478 * * [simplify]: Extracting #3: cost 69 inf + 2
324.478 * * [simplify]: Extracting #4: cost 103 inf + 45
324.479 * * [simplify]: Extracting #5: cost 243 inf + 662
324.480 * * [simplify]: Extracting #6: cost 333 inf + 3620
324.490 * * [simplify]: Extracting #7: cost 174 inf + 56884
324.525 * * [simplify]: Extracting #8: cost 50 inf + 107339
324.595 * * [simplify]: Extracting #9: cost 8 inf + 143039
324.662 * * [simplify]: Extracting #10: cost 0 inf + 154924
324.732 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) (* J -2))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) (* U (/ (/ U (cos (/ K 2))) (* 2 J)))) (+ (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))))) (+ (* (* U U) (* U U)) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U))))))))
324.732 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) (* J -2))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) (* U (/ (/ U (cos (/ K 2))) (* 2 J)))) (+ (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))))) (+ (* (* U U) (* U U)) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
324.734 * * * * [progress]: [ 81 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
324.734 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
324.735 * * [simplify]: iters left: 6 (44 enodes)
324.753 * * [simplify]: iters left: 5 (226 enodes)
324.828 * * [simplify]: Extracting #0: cost 1 inf + 0
324.829 * * [simplify]: Extracting #1: cost 30 inf + 0
324.829 * * [simplify]: Extracting #2: cost 59 inf + 1
324.829 * * [simplify]: Extracting #3: cost 69 inf + 2
324.829 * * [simplify]: Extracting #4: cost 94 inf + 45
324.830 * * [simplify]: Extracting #5: cost 214 inf + 520
324.831 * * [simplify]: Extracting #6: cost 297 inf + 3285
324.840 * * [simplify]: Extracting #7: cost 140 inf + 51371
324.865 * * [simplify]: Extracting #8: cost 42 inf + 90579
324.900 * * [simplify]: Extracting #9: cost 13 inf + 116914
324.954 * * [simplify]: Extracting #10: cost 0 inf + 132527
325.028 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))))) (+ (* (* U U) (* U U)) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U)))))))) (/ (* J (* (cos (/ K 2)) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (* (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* U (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))))))))
325.028 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))))) (+ (* (* U U) (* U U)) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U)))))))) (/ (* J (* (cos (/ K 2)) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (* (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* U (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
325.030 * * * * [progress]: [ 82 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
325.030 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
325.031 * * [simplify]: iters left: 6 (52 enodes)
325.065 * * [simplify]: iters left: 5 (271 enodes)
325.153 * * [simplify]: Extracting #0: cost 1 inf + 0
325.153 * * [simplify]: Extracting #1: cost 30 inf + 0
325.154 * * [simplify]: Extracting #2: cost 59 inf + 1
325.154 * * [simplify]: Extracting #3: cost 69 inf + 2
325.154 * * [simplify]: Extracting #4: cost 102 inf + 45
325.155 * * [simplify]: Extracting #5: cost 236 inf + 662
325.156 * * [simplify]: Extracting #6: cost 332 inf + 4593
325.165 * * [simplify]: Extracting #7: cost 190 inf + 47966
325.211 * * [simplify]: Extracting #8: cost 63 inf + 97041
325.268 * * [simplify]: Extracting #9: cost 35 inf + 113500
325.308 * * [simplify]: Extracting #10: cost 19 inf + 128544
325.376 * * [simplify]: Extracting #11: cost 7 inf + 143173
325.439 * * [simplify]: Extracting #12: cost 0 inf + 152873
325.498 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (cos (/ K 2))) (* 2 J)) (+ (* (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) U) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) U))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* (* U U) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* U U) (* U U)))))))
325.498 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (cos (/ K 2))) (* 2 J)) (+ (* (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) U) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) U))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* (* U U) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* U U) (* U U))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
325.499 * * * * [progress]: [ 83 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
325.500 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
325.500 * * [simplify]: iters left: 6 (45 enodes)
325.514 * * [simplify]: iters left: 5 (230 enodes)
325.587 * * [simplify]: Extracting #0: cost 1 inf + 0
325.587 * * [simplify]: Extracting #1: cost 30 inf + 0
325.587 * * [simplify]: Extracting #2: cost 59 inf + 1
325.587 * * [simplify]: Extracting #3: cost 69 inf + 2
325.587 * * [simplify]: Extracting #4: cost 94 inf + 45
325.588 * * [simplify]: Extracting #5: cost 216 inf + 335
325.589 * * [simplify]: Extracting #6: cost 302 inf + 3031
325.597 * * [simplify]: Extracting #7: cost 152 inf + 48063
325.615 * * [simplify]: Extracting #8: cost 52 inf + 85996
325.646 * * [simplify]: Extracting #9: cost 21 inf + 108820
325.712 * * [simplify]: Extracting #10: cost 1 inf + 131452
325.791 * * [simplify]: Extracting #11: cost 0 inf + 132838
325.871 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U U) (* U U)) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) (* U U)))))))))
325.871 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U U) (* U U)) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) (* U U))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
325.873 * * * * [progress]: [ 84 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
325.873 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
325.874 * * [simplify]: iters left: 6 (52 enodes)
325.895 * * [simplify]: iters left: 5 (271 enodes)
325.973 * * [simplify]: Extracting #0: cost 1 inf + 0
325.973 * * [simplify]: Extracting #1: cost 30 inf + 0
325.973 * * [simplify]: Extracting #2: cost 59 inf + 1
325.973 * * [simplify]: Extracting #3: cost 68 inf + 44
325.973 * * [simplify]: Extracting #4: cost 100 inf + 45
325.974 * * [simplify]: Extracting #5: cost 229 inf + 662
325.976 * * [simplify]: Extracting #6: cost 330 inf + 3962
325.987 * * [simplify]: Extracting #7: cost 142 inf + 64670
326.019 * * [simplify]: Extracting #8: cost 52 inf + 101412
326.064 * * [simplify]: Extracting #9: cost 36 inf + 111408
326.131 * * [simplify]: Extracting #10: cost 19 inf + 127559
326.196 * * [simplify]: Extracting #11: cost 7 inf + 141348
326.289 * * [simplify]: Extracting #12: cost 0 inf + 151767
326.364 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (cos (/ K 2))) (* 2 J)) (+ (* (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) U) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) U))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* (* U U) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* U U) (* U U)))))))
326.364 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (cos (/ K 2))) (* 2 J)) (+ (* (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) U) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) U))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* (* U U) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* U U) (* U U))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
326.366 * * * * [progress]: [ 85 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
326.366 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
326.367 * * [simplify]: iters left: 6 (45 enodes)
326.380 * * [simplify]: iters left: 5 (230 enodes)
326.456 * * [simplify]: Extracting #0: cost 1 inf + 0
326.456 * * [simplify]: Extracting #1: cost 30 inf + 0
326.456 * * [simplify]: Extracting #2: cost 59 inf + 1
326.456 * * [simplify]: Extracting #3: cost 69 inf + 2
326.457 * * [simplify]: Extracting #4: cost 92 inf + 45
326.457 * * [simplify]: Extracting #5: cost 213 inf + 377
326.458 * * [simplify]: Extracting #6: cost 299 inf + 3095
326.466 * * [simplify]: Extracting #7: cost 148 inf + 48868
326.491 * * [simplify]: Extracting #8: cost 49 inf + 86905
326.544 * * [simplify]: Extracting #9: cost 19 inf + 110745
326.614 * * [simplify]: Extracting #10: cost 0 inf + 131112
326.662 * * [simplify]: Extracting #11: cost 0 inf + 131032
326.737 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* U U) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* U U))))))))
326.738 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* U U) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* U U)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
326.739 * * * * [progress]: [ 86 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
326.740 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
326.740 * * [simplify]: iters left: 6 (51 enodes)
326.775 * * [simplify]: iters left: 5 (269 enodes)
326.883 * * [simplify]: Extracting #0: cost 1 inf + 0
326.883 * * [simplify]: Extracting #1: cost 30 inf + 0
326.883 * * [simplify]: Extracting #2: cost 59 inf + 1
326.883 * * [simplify]: Extracting #3: cost 69 inf + 2
326.884 * * [simplify]: Extracting #4: cost 104 inf + 45
326.885 * * [simplify]: Extracting #5: cost 241 inf + 662
326.888 * * [simplify]: Extracting #6: cost 338 inf + 3040
326.905 * * [simplify]: Extracting #7: cost 197 inf + 49217
326.944 * * [simplify]: Extracting #8: cost 63 inf + 100512
326.989 * * [simplify]: Extracting #9: cost 23 inf + 128205
327.048 * * [simplify]: Extracting #10: cost 2 inf + 152301
327.118 * * [simplify]: Extracting #11: cost 0 inf + 155153
327.189 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* U (/ (/ U (cos (/ K 2))) (* 2 J)))) (* U (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U U) (* U U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (* U U) (* U U)))))))))
327.189 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* U (/ (/ U (cos (/ K 2))) (* 2 J)))) (* U (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U U) (* U U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (* U U) (* U U))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
327.190 * * * * [progress]: [ 87 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
327.190 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
327.191 * * [simplify]: iters left: 6 (44 enodes)
327.204 * * [simplify]: iters left: 5 (227 enodes)
327.287 * * [simplify]: Extracting #0: cost 1 inf + 0
327.287 * * [simplify]: Extracting #1: cost 30 inf + 0
327.287 * * [simplify]: Extracting #2: cost 59 inf + 1
327.288 * * [simplify]: Extracting #3: cost 69 inf + 2
327.288 * * [simplify]: Extracting #4: cost 94 inf + 45
327.288 * * [simplify]: Extracting #5: cost 214 inf + 580
327.290 * * [simplify]: Extracting #6: cost 300 inf + 3170
327.303 * * [simplify]: Extracting #7: cost 130 inf + 55474
327.328 * * [simplify]: Extracting #8: cost 49 inf + 85994
327.366 * * [simplify]: Extracting #9: cost 22 inf + 107782
327.413 * * [simplify]: Extracting #10: cost 3 inf + 127829
327.476 * * [simplify]: Extracting #11: cost 0 inf + 131666
327.554 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* U U)))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (* U U) (* U U)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))))
327.555 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* U U)))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (* U U) (* U U)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
327.556 * * * * [progress]: [ 88 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
327.557 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
327.558 * * [simplify]: iters left: 6 (52 enodes)
327.591 * * [simplify]: iters left: 5 (271 enodes)
327.705 * * [simplify]: Extracting #0: cost 1 inf + 0
327.705 * * [simplify]: Extracting #1: cost 30 inf + 0
327.705 * * [simplify]: Extracting #2: cost 59 inf + 1
327.705 * * [simplify]: Extracting #3: cost 69 inf + 2
327.706 * * [simplify]: Extracting #4: cost 100 inf + 45
327.707 * * [simplify]: Extracting #5: cost 227 inf + 561
327.710 * * [simplify]: Extracting #6: cost 325 inf + 3488
327.729 * * [simplify]: Extracting #7: cost 155 inf + 55774
327.777 * * [simplify]: Extracting #8: cost 54 inf + 96960
327.835 * * [simplify]: Extracting #9: cost 29 inf + 114750
327.887 * * [simplify]: Extracting #10: cost 9 inf + 136261
327.959 * * [simplify]: Extracting #11: cost 0 inf + 149732
328.021 * [simplify]: Simplified to (/ (* (/ (* (cos (/ K 2)) J) (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* (* U U) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* U U) (* U U)))))) (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)))) -2) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))))) (cos (/ K 2))) (* 2 J)) (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))
328.021 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (cos (/ K 2)) J) (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* (* U U) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* U U) (* U U)))))) (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)))) -2) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))))) (cos (/ K 2))) (* 2 J)) (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
328.023 * * * * [progress]: [ 89 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
328.023 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
328.024 * * [simplify]: iters left: 6 (45 enodes)
328.047 * * [simplify]: iters left: 5 (230 enodes)
328.138 * * [simplify]: Extracting #0: cost 1 inf + 0
328.138 * * [simplify]: Extracting #1: cost 30 inf + 0
328.138 * * [simplify]: Extracting #2: cost 59 inf + 1
328.139 * * [simplify]: Extracting #3: cost 69 inf + 2
328.139 * * [simplify]: Extracting #4: cost 92 inf + 45
328.139 * * [simplify]: Extracting #5: cost 204 inf + 520
328.141 * * [simplify]: Extracting #6: cost 298 inf + 2645
328.151 * * [simplify]: Extracting #7: cost 121 inf + 60613
328.180 * * [simplify]: Extracting #8: cost 36 inf + 93504
328.220 * * [simplify]: Extracting #9: cost 14 inf + 114822
328.278 * * [simplify]: Extracting #10: cost 0 inf + 130861
328.330 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (/ (/ U (cos (/ K 2))) (* 2 J))) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* U U)) (* U U))))))
328.331 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (/ (/ U (cos (/ K 2))) (* 2 J))) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* U U)) (* U U)))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
328.332 * * * * [progress]: [ 90 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
328.333 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
328.334 * * [simplify]: iters left: 6 (52 enodes)
328.355 * * [simplify]: iters left: 5 (271 enodes)
328.451 * * [simplify]: Extracting #0: cost 1 inf + 0
328.451 * * [simplify]: Extracting #1: cost 30 inf + 0
328.451 * * [simplify]: Extracting #2: cost 59 inf + 1
328.452 * * [simplify]: Extracting #3: cost 69 inf + 2
328.452 * * [simplify]: Extracting #4: cost 99 inf + 45
328.453 * * [simplify]: Extracting #5: cost 227 inf + 519
328.456 * * [simplify]: Extracting #6: cost 322 inf + 3816
328.483 * * [simplify]: Extracting #7: cost 139 inf + 64101
328.533 * * [simplify]: Extracting #8: cost 46 inf + 102754
328.582 * * [simplify]: Extracting #9: cost 22 inf + 122721
328.669 * * [simplify]: Extracting #10: cost 4 inf + 143979
328.765 * * [simplify]: Extracting #11: cost 0 inf + 149123
328.860 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* 2 (* (* (cos (/ K 2)) J) (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (+ (* (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) U) (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) U))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* U U)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* U U))) (* (* U U) (* U U)))))))
328.860 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* 2 (* (* (cos (/ K 2)) J) (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (+ (* (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) U) (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) U))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* U U)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* U U))) (* (* U U) (* U U))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
328.862 * * * * [progress]: [ 91 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
328.863 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
328.863 * * [simplify]: iters left: 6 (45 enodes)
328.891 * * [simplify]: iters left: 5 (230 enodes)
328.986 * * [simplify]: Extracting #0: cost 1 inf + 0
328.986 * * [simplify]: Extracting #1: cost 30 inf + 0
328.987 * * [simplify]: Extracting #2: cost 59 inf + 1
328.987 * * [simplify]: Extracting #3: cost 68 inf + 44
328.987 * * [simplify]: Extracting #4: cost 95 inf + 45
328.988 * * [simplify]: Extracting #5: cost 206 inf + 479
328.991 * * [simplify]: Extracting #6: cost 299 inf + 2744
329.009 * * [simplify]: Extracting #7: cost 140 inf + 51635
329.046 * * [simplify]: Extracting #8: cost 45 inf + 87936
329.073 * * [simplify]: Extracting #9: cost 36 inf + 93885
329.130 * * [simplify]: Extracting #10: cost 13 inf + 117751
329.185 * * [simplify]: Extracting #11: cost 0 inf + 132963
329.248 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (+ (* (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) U)))))) (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U U) (* U U)) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U)))))))))
329.248 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (+ (* (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) U)))))) (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U U) (* U U)) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
329.249 * * * * [progress]: [ 92 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3)))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
329.249 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3))))))
329.250 * * [simplify]: iters left: 6 (46 enodes)
329.267 * * [simplify]: iters left: 5 (231 enodes)
329.384 * * [simplify]: Extracting #0: cost 1 inf + 0
329.384 * * [simplify]: Extracting #1: cost 30 inf + 0
329.385 * * [simplify]: Extracting #2: cost 59 inf + 1
329.385 * * [simplify]: Extracting #3: cost 69 inf + 2
329.385 * * [simplify]: Extracting #4: cost 97 inf + 45
329.387 * * [simplify]: Extracting #5: cost 221 inf + 764
329.389 * * [simplify]: Extracting #6: cost 289 inf + 3740
329.408 * * [simplify]: Extracting #7: cost 119 inf + 57735
329.428 * * [simplify]: Extracting #8: cost 43 inf + 87609
329.471 * * [simplify]: Extracting #9: cost 15 inf + 111446
329.515 * * [simplify]: Extracting #10: cost 0 inf + 127546
329.566 * * [simplify]: Extracting #11: cost 0 inf + 126582
329.623 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (/ U (* J (* 2 (cos (/ K 2))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))) 1)) (cos (/ K 2))) (* J -2)) (* (sqrt (sqrt (+ (* (- 1 (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))) (* (- 1 (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))) (- 1 (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))))) (* (* (* (/ U (* J (* 2 (cos (/ K 2))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))) (* (* (/ U (* J (* 2 (cos (/ K 2))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))) (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))))) (+ (* (* U U) (* U U)) (* (* (/ U (* J (* 2 (cos (/ K 2))))) (* U U)) (* (/ U (* J (* 2 (cos (/ K 2))))) (* U U)))))))))
329.623 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (/ U (* J (* 2 (cos (/ K 2))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))) 1)) (cos (/ K 2))) (* J -2)) (* (sqrt (sqrt (+ (* (- 1 (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))) (* (- 1 (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))) (- 1 (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))))) (* (* (* (/ U (* J (* 2 (cos (/ K 2))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))) (* (* (/ U (* J (* 2 (cos (/ K 2))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))) (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))))) (+ (* (* U U) (* U U)) (* (* (/ U (* J (* 2 (cos (/ K 2))))) (* U U)) (* (/ U (* J (* 2 (cos (/ K 2))))) (* U U))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
329.624 * * * * [progress]: [ 93 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
329.624 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
329.625 * * [simplify]: iters left: 6 (45 enodes)
329.645 * * [simplify]: iters left: 5 (218 enodes)
329.713 * * [simplify]: Extracting #0: cost 1 inf + 0
329.713 * * [simplify]: Extracting #1: cost 30 inf + 0
329.714 * * [simplify]: Extracting #2: cost 59 inf + 1
329.714 * * [simplify]: Extracting #3: cost 69 inf + 2
329.714 * * [simplify]: Extracting #4: cost 96 inf + 45
329.714 * * [simplify]: Extracting #5: cost 206 inf + 580
329.716 * * [simplify]: Extracting #6: cost 273 inf + 3526
329.723 * * [simplify]: Extracting #7: cost 136 inf + 43282
329.746 * * [simplify]: Extracting #8: cost 40 inf + 79333
329.790 * * [simplify]: Extracting #9: cost 20 inf + 95398
329.856 * * [simplify]: Extracting #10: cost 1 inf + 114525
329.891 * * [simplify]: Extracting #11: cost 0 inf + 115671
329.947 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (* U U) (* U U)) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (- (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))
329.947 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (* U U) (* U U)) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (- (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
329.948 * * * * [progress]: [ 94 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
329.949 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
329.949 * * [simplify]: iters left: 6 (51 enodes)
329.966 * * [simplify]: iters left: 5 (265 enodes)
330.073 * * [simplify]: Extracting #0: cost 1 inf + 0
330.073 * * [simplify]: Extracting #1: cost 30 inf + 0
330.073 * * [simplify]: Extracting #2: cost 59 inf + 1
330.073 * * [simplify]: Extracting #3: cost 69 inf + 2
330.074 * * [simplify]: Extracting #4: cost 105 inf + 45
330.075 * * [simplify]: Extracting #5: cost 236 inf + 478
330.079 * * [simplify]: Extracting #6: cost 322 inf + 4704
330.098 * * [simplify]: Extracting #7: cost 178 inf + 51118
330.132 * * [simplify]: Extracting #8: cost 75 inf + 93457
330.177 * * [simplify]: Extracting #9: cost 24 inf + 124442
330.265 * * [simplify]: Extracting #10: cost 3 inf + 150058
330.376 * * [simplify]: Extracting #11: cost 0 inf + 153735
330.484 * [simplify]: Simplified to (/ (/ (* (* (sqrt (+ (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))) (* (/ U (* (* 2 (cos (/ K 2))) J)) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))) (* (/ U (* (* 2 (cos (/ K 2))) J)) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)))) (* (* (* U U) (* U U)) (+ (+ (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))) 1) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))))) (sqrt (sqrt (+ (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (- 1 (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))) (* (/ U (* (* 2 (cos (/ K 2))) J)) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))))) (+ (* (* U U) (/ (* U U) (* (* 2 (cos (/ K 2))) J))) (* (* (* (* U U) (/ (* U U) (* (* 2 (cos (/ K 2))) J))) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))) (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))))))
330.484 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (sqrt (+ (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))) (* (/ U (* (* 2 (cos (/ K 2))) J)) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))) (* (/ U (* (* 2 (cos (/ K 2))) J)) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)))) (* (* (* U U) (* U U)) (+ (+ (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))) 1) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))))) (sqrt (sqrt (+ (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (- 1 (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))) (* (/ U (* (* 2 (cos (/ K 2))) J)) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))))) (+ (* (* U U) (/ (* U U) (* (* 2 (cos (/ K 2))) J))) (* (* (* (* U U) (/ (* U U) (* (* 2 (cos (/ K 2))) J))) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))) (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
330.486 * * * * [progress]: [ 95 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
330.486 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
330.487 * * [simplify]: iters left: 6 (53 enodes)
330.521 * * [simplify]: iters left: 5 (274 enodes)
330.656 * * [simplify]: Extracting #0: cost 1 inf + 0
330.656 * * [simplify]: Extracting #1: cost 30 inf + 0
330.656 * * [simplify]: Extracting #2: cost 59 inf + 1
330.657 * * [simplify]: Extracting #3: cost 69 inf + 2
330.657 * * [simplify]: Extracting #4: cost 105 inf + 45
330.658 * * [simplify]: Extracting #5: cost 245 inf + 519
330.662 * * [simplify]: Extracting #6: cost 339 inf + 4648
330.677 * * [simplify]: Extracting #7: cost 212 inf + 43765
330.728 * * [simplify]: Extracting #8: cost 55 inf + 106481
330.776 * * [simplify]: Extracting #9: cost 33 inf + 119118
330.843 * * [simplify]: Extracting #10: cost 10 inf + 143785
330.916 * * [simplify]: Extracting #11: cost 0 inf + 158362
331.012 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) U)) U))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (* U U) (* U U)) (+ 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))
331.012 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) U)) U))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (* U U) (* U U)) (+ 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
331.014 * * * * [progress]: [ 96 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
331.015 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
331.016 * * [simplify]: iters left: 6 (44 enodes)
331.036 * * [simplify]: iters left: 5 (222 enodes)
331.106 * * [simplify]: Extracting #0: cost 1 inf + 0
331.106 * * [simplify]: Extracting #1: cost 24 inf + 0
331.106 * * [simplify]: Extracting #2: cost 51 inf + 1
331.106 * * [simplify]: Extracting #3: cost 59 inf + 44
331.107 * * [simplify]: Extracting #4: cost 124 inf + 45
331.107 * * [simplify]: Extracting #5: cost 265 inf + 562
331.110 * * [simplify]: Extracting #6: cost 241 inf + 8549
331.121 * * [simplify]: Extracting #7: cost 79 inf + 62159
331.150 * * [simplify]: Extracting #8: cost 18 inf + 96180
331.218 * * [simplify]: Extracting #9: cost 0 inf + 114241
331.267 * [simplify]: Simplified to (/ (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (/ (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* U U) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)))))) (* (* (cos (/ K 2)) J) -2)))
331.267 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (/ (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* U U) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)))))) (* (* (cos (/ K 2)) J) -2))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
331.268 * * * * [progress]: [ 97 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
331.269 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
331.270 * * [simplify]: iters left: 6 (51 enodes)
331.286 * * [simplify]: iters left: 5 (262 enodes)
331.369 * * [simplify]: Extracting #0: cost 1 inf + 0
331.369 * * [simplify]: Extracting #1: cost 30 inf + 0
331.369 * * [simplify]: Extracting #2: cost 59 inf + 1
331.370 * * [simplify]: Extracting #3: cost 68 inf + 44
331.370 * * [simplify]: Extracting #4: cost 105 inf + 45
331.371 * * [simplify]: Extracting #5: cost 245 inf + 377
331.372 * * [simplify]: Extracting #6: cost 317 inf + 5621
331.384 * * [simplify]: Extracting #7: cost 166 inf + 53300
331.424 * * [simplify]: Extracting #8: cost 79 inf + 91431
331.483 * * [simplify]: Extracting #9: cost 19 inf + 128526
331.562 * * [simplify]: Extracting #10: cost 3 inf + 147895
331.633 * * [simplify]: Extracting #11: cost 0 inf + 152253
331.728 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (* (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J))) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)))))) (/ (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (+ (* (* U U) (* U (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (* U U) (* U (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))
331.728 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (* (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J))) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)))))) (/ (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (+ (* (* U U) (* U (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (* U U) (* U (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
331.731 * * * * [progress]: [ 98 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
331.731 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
331.732 * * [simplify]: iters left: 6 (50 enodes)
331.766 * * [simplify]: iters left: 5 (241 enodes)
331.878 * * [simplify]: Extracting #0: cost 1 inf + 0
331.879 * * [simplify]: Extracting #1: cost 24 inf + 0
331.879 * * [simplify]: Extracting #2: cost 51 inf + 1
331.879 * * [simplify]: Extracting #3: cost 60 inf + 2
331.880 * * [simplify]: Extracting #4: cost 129 inf + 45
331.881 * * [simplify]: Extracting #5: cost 287 inf + 560
331.885 * * [simplify]: Extracting #6: cost 252 inf + 11251
331.900 * * [simplify]: Extracting #7: cost 127 inf + 51774
331.921 * * [simplify]: Extracting #8: cost 46 inf + 88026
331.957 * * [simplify]: Extracting #9: cost 15 inf + 112004
332.025 * * [simplify]: Extracting #10: cost 1 inf + 127684
332.079 * * [simplify]: Extracting #11: cost 0 inf + 128910
332.127 * [simplify]: Simplified to (/ (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (/ (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* 2 (cos (/ K 2))) J)) (* (* U (* U U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))))) (* (* (cos (/ K 2)) J) -2)))
332.127 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (/ (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* 2 (cos (/ K 2))) J)) (* (* U (* U U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))))) (* (* (cos (/ K 2)) J) -2))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
332.128 * * * * [progress]: [ 99 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
332.129 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
332.130 * * [simplify]: iters left: 6 (53 enodes)
332.151 * * [simplify]: iters left: 5 (266 enodes)
332.233 * * [simplify]: Extracting #0: cost 1 inf + 0
332.234 * * [simplify]: Extracting #1: cost 30 inf + 0
332.234 * * [simplify]: Extracting #2: cost 59 inf + 1
332.234 * * [simplify]: Extracting #3: cost 69 inf + 2
332.235 * * [simplify]: Extracting #4: cost 112 inf + 45
332.236 * * [simplify]: Extracting #5: cost 276 inf + 805
332.239 * * [simplify]: Extracting #6: cost 337 inf + 3423
332.249 * * [simplify]: Extracting #7: cost 245 inf + 31208
332.281 * * [simplify]: Extracting #8: cost 101 inf + 91263
332.340 * * [simplify]: Extracting #9: cost 40 inf + 121232
332.381 * * [simplify]: Extracting #10: cost 19 inf + 143117
332.471 * * [simplify]: Extracting #11: cost 6 inf + 158725
332.572 * * [simplify]: Extracting #12: cost 0 inf + 165548
332.624 * * [simplify]: Extracting #13: cost 0 inf + 163868
332.704 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) (* (* (* U U) (* U (/ (/ (/ U 2) J) (cos (/ K 2))))) (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)))))) -2) (sqrt (sqrt (+ (* (* U (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* U U) (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))))))
332.704 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) (* (* (* U U) (* U (/ (/ (/ U 2) J) (cos (/ K 2))))) (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)))))) -2) (sqrt (sqrt (+ (* (* U (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* U U) (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
332.706 * * * * [progress]: [ 100 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
332.707 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
332.707 * * [simplify]: iters left: 6 (51 enodes)
332.742 * * [simplify]: iters left: 5 (258 enodes)
332.836 * * [simplify]: Extracting #0: cost 1 inf + 0
332.841 * * [simplify]: Extracting #1: cost 24 inf + 0
332.842 * * [simplify]: Extracting #2: cost 51 inf + 1
332.842 * * [simplify]: Extracting #3: cost 60 inf + 2
332.843 * * [simplify]: Extracting #4: cost 139 inf + 45
332.844 * * [simplify]: Extracting #5: cost 313 inf + 500
332.849 * * [simplify]: Extracting #6: cost 282 inf + 10695
332.859 * * [simplify]: Extracting #7: cost 143 inf + 54027
332.881 * * [simplify]: Extracting #8: cost 54 inf + 92984
332.924 * * [simplify]: Extracting #9: cost 23 inf + 114121
332.977 * * [simplify]: Extracting #10: cost 1 inf + 136443
333.054 * * [simplify]: Extracting #11: cost 0 inf + 137390
333.123 * [simplify]: Simplified to (/ (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (/ (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 J) (cos (/ K 2))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))))) (+ (* (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (/ (* (* U U) (* U U)) (* (* 2 J) (cos (/ K 2))))) (/ (* (* U U) (* U U)) (* (* 2 J) (cos (/ K 2))))))) (* (* (cos (/ K 2)) J) -2)))
333.123 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (/ (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 J) (cos (/ K 2))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))))) (+ (* (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (/ (* (* U U) (* U U)) (* (* 2 J) (cos (/ K 2))))) (/ (* (* U U) (* U U)) (* (* 2 J) (cos (/ K 2))))))) (* (* (cos (/ K 2)) J) -2))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
333.124 * * * * [progress]: [ 101 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
333.124 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
333.125 * * [simplify]: iters left: 6 (53 enodes)
333.144 * * [simplify]: iters left: 5 (271 enodes)
333.259 * * [simplify]: Extracting #0: cost 1 inf + 0
333.259 * * [simplify]: Extracting #1: cost 30 inf + 0
333.259 * * [simplify]: Extracting #2: cost 59 inf + 1
333.259 * * [simplify]: Extracting #3: cost 69 inf + 2
333.260 * * [simplify]: Extracting #4: cost 109 inf + 45
333.262 * * [simplify]: Extracting #5: cost 292 inf + 621
333.265 * * [simplify]: Extracting #6: cost 345 inf + 5871
333.287 * * [simplify]: Extracting #7: cost 202 inf + 51635
333.339 * * [simplify]: Extracting #8: cost 56 inf + 113533
333.411 * * [simplify]: Extracting #9: cost 24 inf + 136027
333.490 * * [simplify]: Extracting #10: cost 19 inf + 141114
333.566 * * [simplify]: Extracting #11: cost 4 inf + 159499
333.645 * * [simplify]: Extracting #12: cost 0 inf + 165721
333.726 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* U (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* U (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))))))))) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))))))))
333.726 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* U (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* U (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))))))))) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
333.728 * * * * [progress]: [ 102 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
333.728 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
333.729 * * [simplify]: iters left: 6 (50 enodes)
333.748 * * [simplify]: iters left: 5 (258 enodes)
333.857 * * [simplify]: Extracting #0: cost 1 inf + 0
333.857 * * [simplify]: Extracting #1: cost 30 inf + 0
333.857 * * [simplify]: Extracting #2: cost 59 inf + 1
333.858 * * [simplify]: Extracting #3: cost 69 inf + 2
333.858 * * [simplify]: Extracting #4: cost 105 inf + 45
333.859 * * [simplify]: Extracting #5: cost 239 inf + 622
333.863 * * [simplify]: Extracting #6: cost 313 inf + 5797
333.882 * * [simplify]: Extracting #7: cost 161 inf + 55509
333.925 * * [simplify]: Extracting #8: cost 74 inf + 96579
333.995 * * [simplify]: Extracting #9: cost 29 inf + 128454
334.058 * * [simplify]: Extracting #10: cost 2 inf + 153779
334.127 * * [simplify]: Extracting #11: cost 0 inf + 155352
334.214 * * [simplify]: Extracting #12: cost 0 inf + 155272
334.298 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2))))) (+ (* (* (* (* U (/ (/ (/ U J) (cos (/ K 2))) 2)) (* U (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))) (+ 1 (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* (* U (/ (/ (/ U J) (cos (/ K 2))) 2)) (* U (/ (/ (/ U J) (cos (/ K 2))) 2))))))))) (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (* (* (* 2 (cos (/ K 2))) J) (- 1 (* (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2)))))) (* U (* U (* (* U (/ (/ (/ U J) (cos (/ K 2))) 2)) (+ (+ (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))) 1) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))))))))))
334.298 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2))))) (+ (* (* (* (* U (/ (/ (/ U J) (cos (/ K 2))) 2)) (* U (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))) (+ 1 (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* (* U (/ (/ (/ U J) (cos (/ K 2))) 2)) (* U (/ (/ (/ U J) (cos (/ K 2))) 2))))))))) (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (* (* (* 2 (cos (/ K 2))) J) (- 1 (* (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2)))))) (* U (* U (* (* U (/ (/ (/ U J) (cos (/ K 2))) 2)) (+ (+ (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))) 1) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
334.300 * * * * [progress]: [ 103 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
334.300 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
334.301 * * [simplify]: iters left: 6 (52 enodes)
334.334 * * [simplify]: iters left: 5 (269 enodes)
334.444 * * [simplify]: Extracting #0: cost 1 inf + 0
334.444 * * [simplify]: Extracting #1: cost 30 inf + 0
334.445 * * [simplify]: Extracting #2: cost 59 inf + 1
334.445 * * [simplify]: Extracting #3: cost 69 inf + 2
334.445 * * [simplify]: Extracting #4: cost 105 inf + 45
334.447 * * [simplify]: Extracting #5: cost 253 inf + 335
334.450 * * [simplify]: Extracting #6: cost 336 inf + 5963
334.466 * * [simplify]: Extracting #7: cost 192 inf + 52853
334.490 * * [simplify]: Extracting #8: cost 62 inf + 103601
334.524 * * [simplify]: Extracting #9: cost 34 inf + 119084
334.597 * * [simplify]: Extracting #10: cost 7 inf + 148974
334.652 * * [simplify]: Extracting #11: cost 0 inf + 156553
334.744 * * [simplify]: Extracting #12: cost 0 inf + 155833
334.809 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* U U) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* U U) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))
334.809 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* U U) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* U U) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
334.810 * * * * [progress]: [ 104 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
334.810 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
334.811 * * [simplify]: iters left: 6 (51 enodes)
334.827 * * [simplify]: iters left: 5 (259 enodes)
334.930 * * [simplify]: Extracting #0: cost 1 inf + 0
334.930 * * [simplify]: Extracting #1: cost 30 inf + 0
334.930 * * [simplify]: Extracting #2: cost 59 inf + 1
334.930 * * [simplify]: Extracting #3: cost 68 inf + 44
334.931 * * [simplify]: Extracting #4: cost 105 inf + 45
334.931 * * [simplify]: Extracting #5: cost 231 inf + 520
334.933 * * [simplify]: Extracting #6: cost 300 inf + 6307
334.944 * * [simplify]: Extracting #7: cost 162 inf + 51766
334.985 * * [simplify]: Extracting #8: cost 59 inf + 93442
335.024 * * [simplify]: Extracting #9: cost 31 inf + 113785
335.069 * * [simplify]: Extracting #10: cost 10 inf + 137532
335.152 * * [simplify]: Extracting #11: cost 0 inf + 152118
335.233 * [simplify]: Simplified to (/ (* (/ (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (/ (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* U U) (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))))))) (* (cos (/ K 2)) J))) -2) (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1) (* (* (/ U (* (cos (/ K 2)) J)) (/ U 2)) (* (/ U (* (cos (/ K 2)) J)) (/ U 2))))))))
335.234 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (/ (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* U U) (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))))))) (* (cos (/ K 2)) J))) -2) (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1) (* (* (/ U (* (cos (/ K 2)) J)) (/ U 2)) (* (/ U (* (cos (/ K 2)) J)) (/ U 2)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
335.235 * * * * [progress]: [ 105 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
335.236 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
335.237 * * [simplify]: iters left: 6 (53 enodes)
335.262 * * [simplify]: iters left: 5 (269 enodes)
335.377 * * [simplify]: Extracting #0: cost 1 inf + 0
335.377 * * [simplify]: Extracting #1: cost 30 inf + 0
335.377 * * [simplify]: Extracting #2: cost 59 inf + 1
335.377 * * [simplify]: Extracting #3: cost 69 inf + 2
335.378 * * [simplify]: Extracting #4: cost 105 inf + 45
335.378 * * [simplify]: Extracting #5: cost 238 inf + 907
335.380 * * [simplify]: Extracting #6: cost 327 inf + 3135
335.387 * * [simplify]: Extracting #7: cost 197 inf + 44485
335.413 * * [simplify]: Extracting #8: cost 91 inf + 86078
335.451 * * [simplify]: Extracting #9: cost 41 inf + 113755
335.503 * * [simplify]: Extracting #10: cost 18 inf + 135659
335.575 * * [simplify]: Extracting #11: cost 5 inf + 151793
335.679 * * [simplify]: Extracting #12: cost 0 inf + 159481
335.769 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (+ (* (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J)))))))) (sqrt (sqrt (+ (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (+ 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* 2 (* (cos (/ K 2)) J))))))))
335.769 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (+ (* (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J)))))))) (sqrt (sqrt (+ (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (+ 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* 2 (* (cos (/ K 2)) J)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
335.770 * * * * [progress]: [ 106 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
335.770 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
335.771 * * [simplify]: iters left: 6 (52 enodes)
335.799 * * [simplify]: iters left: 5 (259 enodes)
335.894 * * [simplify]: Extracting #0: cost 1 inf + 0
335.894 * * [simplify]: Extracting #1: cost 24 inf + 0
335.895 * * [simplify]: Extracting #2: cost 51 inf + 1
335.895 * * [simplify]: Extracting #3: cost 60 inf + 2
335.895 * * [simplify]: Extracting #4: cost 134 inf + 45
335.897 * * [simplify]: Extracting #5: cost 298 inf + 846
335.902 * * [simplify]: Extracting #6: cost 263 inf + 11784
335.923 * * [simplify]: Extracting #7: cost 121 inf + 58424
335.953 * * [simplify]: Extracting #8: cost 32 inf + 98934
336.003 * * [simplify]: Extracting #9: cost 14 inf + 113936
336.062 * * [simplify]: Extracting #10: cost 1 inf + 127510
336.122 * * [simplify]: Extracting #11: cost 0 inf + 128656
336.198 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J)))))) -2))
336.198 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J)))))) -2)) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
336.200 * * * * [progress]: [ 107 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
336.200 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
336.201 * * [simplify]: iters left: 6 (54 enodes)
336.225 * * [simplify]: iters left: 5 (271 enodes)
336.320 * * [simplify]: Extracting #0: cost 1 inf + 0
336.320 * * [simplify]: Extracting #1: cost 30 inf + 0
336.321 * * [simplify]: Extracting #2: cost 59 inf + 1
336.321 * * [simplify]: Extracting #3: cost 69 inf + 2
336.321 * * [simplify]: Extracting #4: cost 109 inf + 45
336.323 * * [simplify]: Extracting #5: cost 278 inf + 478
336.330 * * [simplify]: Extracting #6: cost 338 inf + 4337
336.343 * * [simplify]: Extracting #7: cost 240 inf + 32465
336.385 * * [simplify]: Extracting #8: cost 83 inf + 95884
336.450 * * [simplify]: Extracting #9: cost 36 inf + 124095
336.549 * * [simplify]: Extracting #10: cost 4 inf + 159030
336.626 * * [simplify]: Extracting #11: cost 0 inf + 164454
336.729 * * [simplify]: Extracting #12: cost 0 inf + 164374
336.805 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) 1)) (* J (* (cos (/ K 2)) -2))) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (* (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* U U))) U))))) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* U (* (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* U U))))))))
336.806 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) 1)) (* J (* (cos (/ K 2)) -2))) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (* (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* U U))) U))))) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* U (* (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* U U)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
336.807 * * * * [progress]: [ 108 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
336.808 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
336.809 * * [simplify]: iters left: 6 (51 enodes)
336.842 * * [simplify]: iters left: 5 (258 enodes)
336.970 * * [simplify]: Extracting #0: cost 1 inf + 0
336.970 * * [simplify]: Extracting #1: cost 30 inf + 0
336.970 * * [simplify]: Extracting #2: cost 59 inf + 1
336.971 * * [simplify]: Extracting #3: cost 69 inf + 2
336.971 * * [simplify]: Extracting #4: cost 105 inf + 45
336.972 * * [simplify]: Extracting #5: cost 231 inf + 622
336.976 * * [simplify]: Extracting #6: cost 296 inf + 6304
336.999 * * [simplify]: Extracting #7: cost 139 inf + 60166
337.027 * * [simplify]: Extracting #8: cost 41 inf + 105585
337.092 * * [simplify]: Extracting #9: cost 20 inf + 125938
337.178 * * [simplify]: Extracting #10: cost 1 inf + 149345
337.264 * * [simplify]: Extracting #11: cost 0 inf + 150211
337.323 * [simplify]: Simplified to (/ (/ (* (* (sqrt (+ (* (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (/ (/ U (cos (/ K 2))) J) 2))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (- 1 (* (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (/ (/ U (cos (/ K 2))) J) 2))))) (* (* (* (/ (/ U (cos (/ K 2))) J) (/ U 2)) (* U U)) (+ (* (+ 1 (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) 1)))))) (sqrt (sqrt (+ (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (- 1 (* (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (/ (/ U (cos (/ K 2))) J) 2)))))) (* (+ (* (+ 1 (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) 1) (* (* (/ (/ U (cos (/ K 2))) J) (/ U 2)) (* (/ (/ U (cos (/ K 2))) J) (/ U 2))))))))
337.324 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (sqrt (+ (* (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (/ (/ U (cos (/ K 2))) J) 2))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (- 1 (* (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (/ (/ U (cos (/ K 2))) J) 2))))) (* (* (* (/ (/ U (cos (/ K 2))) J) (/ U 2)) (* U U)) (+ (* (+ 1 (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) 1)))))) (sqrt (sqrt (+ (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (- 1 (* (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (/ (/ U (cos (/ K 2))) J) 2)))))) (* (+ (* (+ 1 (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) 1) (* (* (/ (/ U (cos (/ K 2))) J) (/ U 2)) (* (/ (/ U (cos (/ K 2))) J) (/ U 2)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
337.325 * * * * [progress]: [ 109 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
337.325 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
337.325 * * [simplify]: iters left: 6 (53 enodes)
337.348 * * [simplify]: iters left: 5 (269 enodes)
337.455 * * [simplify]: Extracting #0: cost 1 inf + 0
337.455 * * [simplify]: Extracting #1: cost 30 inf + 0
337.456 * * [simplify]: Extracting #2: cost 59 inf + 1
337.456 * * [simplify]: Extracting #3: cost 69 inf + 2
337.456 * * [simplify]: Extracting #4: cost 105 inf + 45
337.458 * * [simplify]: Extracting #5: cost 241 inf + 805
337.461 * * [simplify]: Extracting #6: cost 335 inf + 3443
337.476 * * [simplify]: Extracting #7: cost 246 inf + 30204
337.508 * * [simplify]: Extracting #8: cost 107 inf + 85443
337.559 * * [simplify]: Extracting #9: cost 37 inf + 116518
337.607 * * [simplify]: Extracting #10: cost 17 inf + 136171
337.683 * * [simplify]: Extracting #11: cost 8 inf + 146482
337.771 * * [simplify]: Extracting #12: cost 0 inf + 156847
337.842 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* (* 2 J) (cos (/ K 2))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U))) U))))) -2) (sqrt (sqrt (+ (* (* (+ 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) U) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) U)) (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))
337.842 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* (* 2 J) (cos (/ K 2))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U))) U))))) -2) (sqrt (sqrt (+ (* (* (+ 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) U) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) U)) (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
337.844 * * * * [progress]: [ 110 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
337.844 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
337.845 * * [simplify]: iters left: 6 (51 enodes)
337.864 * * [simplify]: iters left: 5 (259 enodes)
337.941 * * [simplify]: Extracting #0: cost 1 inf + 0
337.941 * * [simplify]: Extracting #1: cost 30 inf + 0
337.941 * * [simplify]: Extracting #2: cost 59 inf + 1
337.942 * * [simplify]: Extracting #3: cost 68 inf + 44
337.942 * * [simplify]: Extracting #4: cost 105 inf + 45
337.943 * * [simplify]: Extracting #5: cost 231 inf + 764
337.944 * * [simplify]: Extracting #6: cost 307 inf + 3970
337.964 * * [simplify]: Extracting #7: cost 164 inf + 52403
338.004 * * [simplify]: Extracting #8: cost 33 inf + 113681
338.079 * * [simplify]: Extracting #9: cost 5 inf + 143348
338.146 * * [simplify]: Extracting #10: cost 0 inf + 149834
338.224 * [simplify]: Simplified to (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (* (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) 1) (* U U)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (* (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) 1) (* U U)) (* U (/ (/ U (* 2 (cos (/ K 2)))) J)))))))) (sqrt (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) 1))))
338.224 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (* (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) 1) (* U U)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (* (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) 1) (* U U)) (* U (/ (/ U (* 2 (cos (/ K 2)))) J)))))))) (sqrt (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) 1)))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
338.226 * * * * [progress]: [ 111 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
338.227 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
338.228 * * [simplify]: iters left: 6 (53 enodes)
338.246 * * [simplify]: iters left: 5 (269 enodes)
338.338 * * [simplify]: Extracting #0: cost 1 inf + 0
338.338 * * [simplify]: Extracting #1: cost 30 inf + 0
338.338 * * [simplify]: Extracting #2: cost 59 inf + 1
338.339 * * [simplify]: Extracting #3: cost 69 inf + 2
338.339 * * [simplify]: Extracting #4: cost 102 inf + 45
338.340 * * [simplify]: Extracting #5: cost 238 inf + 335
338.343 * * [simplify]: Extracting #6: cost 325 inf + 3053
338.356 * * [simplify]: Extracting #7: cost 197 inf + 43253
338.386 * * [simplify]: Extracting #8: cost 84 inf + 90791
338.423 * * [simplify]: Extracting #9: cost 37 inf + 113028
338.465 * * [simplify]: Extracting #10: cost 19 inf + 132576
338.525 * * [simplify]: Extracting #11: cost 5 inf + 142643
338.620 * * [simplify]: Extracting #12: cost 0 inf + 147760
338.688 * [simplify]: Simplified to (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* U (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U U)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)))))) (/ -2 (sqrt (sqrt (+ (* (* U U) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))) (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))))
338.689 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* U (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U U)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)))))) (/ -2 (sqrt (sqrt (+ (* (* U U) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))) (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
338.690 * * * * [progress]: [ 112 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
338.691 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
338.692 * * [simplify]: iters left: 6 (50 enodes)
338.717 * * [simplify]: iters left: 5 (261 enodes)
338.817 * * [simplify]: Extracting #0: cost 1 inf + 0
338.817 * * [simplify]: Extracting #1: cost 30 inf + 0
338.817 * * [simplify]: Extracting #2: cost 59 inf + 1
338.817 * * [simplify]: Extracting #3: cost 69 inf + 2
338.818 * * [simplify]: Extracting #4: cost 105 inf + 45
338.819 * * [simplify]: Extracting #5: cost 241 inf + 478
338.823 * * [simplify]: Extracting #6: cost 313 inf + 6245
338.853 * * [simplify]: Extracting #7: cost 121 inf + 75548
338.892 * * [simplify]: Extracting #8: cost 54 inf + 104322
338.947 * * [simplify]: Extracting #9: cost 24 inf + 127763
339.010 * * [simplify]: Extracting #10: cost 3 inf + 152025
339.100 * * [simplify]: Extracting #11: cost 0 inf + 156226
339.163 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))) (* U U)))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J)) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (* U (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)))))))
339.164 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))) (* U U)))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J)) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (* U (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
339.165 * * * * [progress]: [ 113 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
339.165 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
339.165 * * [simplify]: iters left: 6 (52 enodes)
339.192 * * [simplify]: iters left: 5 (271 enodes)
339.305 * * [simplify]: Extracting #0: cost 1 inf + 0
339.306 * * [simplify]: Extracting #1: cost 30 inf + 0
339.306 * * [simplify]: Extracting #2: cost 59 inf + 1
339.306 * * [simplify]: Extracting #3: cost 69 inf + 2
339.306 * * [simplify]: Extracting #4: cost 105 inf + 45
339.307 * * [simplify]: Extracting #5: cost 252 inf + 621
339.308 * * [simplify]: Extracting #6: cost 335 inf + 4794
339.315 * * [simplify]: Extracting #7: cost 214 inf + 39987
339.332 * * [simplify]: Extracting #8: cost 96 inf + 91324
339.374 * * [simplify]: Extracting #9: cost 24 inf + 137570
339.462 * * [simplify]: Extracting #10: cost 4 inf + 152552
339.515 * * [simplify]: Extracting #11: cost 0 inf + 157776
339.577 * * [simplify]: Extracting #12: cost 0 inf + 157616
339.644 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* 2 (* (cos (/ K 2)) J)))) (+ (/ (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (+ (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (+ (/ (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))))) (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))))))))
339.644 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* 2 (* (cos (/ K 2)) J)))) (+ (/ (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (+ (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (+ (/ (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))))) (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
339.646 * * * * [progress]: [ 114 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
339.646 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
339.647 * * [simplify]: iters left: 6 (50 enodes)
339.678 * * [simplify]: iters left: 5 (259 enodes)
339.791 * * [simplify]: Extracting #0: cost 1 inf + 0
339.791 * * [simplify]: Extracting #1: cost 30 inf + 0
339.791 * * [simplify]: Extracting #2: cost 59 inf + 1
339.791 * * [simplify]: Extracting #3: cost 69 inf + 2
339.791 * * [simplify]: Extracting #4: cost 105 inf + 45
339.792 * * [simplify]: Extracting #5: cost 242 inf + 765
339.794 * * [simplify]: Extracting #6: cost 321 inf + 4830
339.803 * * [simplify]: Extracting #7: cost 169 inf + 57574
339.846 * * [simplify]: Extracting #8: cost 79 inf + 101281
339.914 * * [simplify]: Extracting #9: cost 18 inf + 138904
339.984 * * [simplify]: Extracting #10: cost 2 inf + 153594
340.058 * * [simplify]: Extracting #11: cost 0 inf + 156326
340.157 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (cos (/ K 2))) J) (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* U (/ (/ (/ U 2) J) (cos (/ K 2))))) (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)))))) (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* U (* (/ (/ (/ U 2) J) (cos (/ K 2))) (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1))) (* U U)))))))
340.157 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (cos (/ K 2))) J) (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* U (/ (/ (/ U 2) J) (cos (/ K 2))))) (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)))))) (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* U (* (/ (/ (/ U 2) J) (cos (/ K 2))) (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1))) (* U U))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
340.159 * * * * [progress]: [ 115 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
340.160 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
340.161 * * [simplify]: iters left: 6 (52 enodes)
340.193 * * [simplify]: iters left: 5 (270 enodes)
340.296 * * [simplify]: Extracting #0: cost 1 inf + 0
340.296 * * [simplify]: Extracting #1: cost 30 inf + 0
340.297 * * [simplify]: Extracting #2: cost 59 inf + 1
340.297 * * [simplify]: Extracting #3: cost 68 inf + 44
340.297 * * [simplify]: Extracting #4: cost 102 inf + 45
340.298 * * [simplify]: Extracting #5: cost 247 inf + 662
340.299 * * [simplify]: Extracting #6: cost 325 inf + 4556
340.309 * * [simplify]: Extracting #7: cost 169 inf + 52815
340.339 * * [simplify]: Extracting #8: cost 80 inf + 90559
340.404 * * [simplify]: Extracting #9: cost 27 inf + 120513
340.494 * * [simplify]: Extracting #10: cost 4 inf + 146662
340.572 * * [simplify]: Extracting #11: cost 0 inf + 151286
340.674 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (sqrt (+ (+ (* (* 2 (* (cos (/ K 2)) J)) 1) (* (* 2 (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (+ (* (* U U) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J)))))))))
340.674 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (sqrt (+ (+ (* (* 2 (* (cos (/ K 2)) J)) 1) (* (* 2 (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (+ (* (* U U) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
340.676 * * * * [progress]: [ 116 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
340.677 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
340.677 * * [simplify]: iters left: 6 (51 enodes)
340.697 * * [simplify]: iters left: 5 (259 enodes)
340.781 * * [simplify]: Extracting #0: cost 1 inf + 0
340.781 * * [simplify]: Extracting #1: cost 30 inf + 0
340.781 * * [simplify]: Extracting #2: cost 59 inf + 1
340.781 * * [simplify]: Extracting #3: cost 68 inf + 44
340.781 * * [simplify]: Extracting #4: cost 102 inf + 45
340.782 * * [simplify]: Extracting #5: cost 232 inf + 335
340.784 * * [simplify]: Extracting #6: cost 314 inf + 5030
340.792 * * [simplify]: Extracting #7: cost 178 inf + 48700
340.814 * * [simplify]: Extracting #8: cost 71 inf + 98560
340.851 * * [simplify]: Extracting #9: cost 20 inf + 130866
340.904 * * [simplify]: Extracting #10: cost 5 inf + 149009
340.979 * * [simplify]: Extracting #11: cost 0 inf + 156896
341.037 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)) (sqrt (sqrt (+ (* (* (* 2 (cos (/ K 2))) J) (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) U)))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* 2 (cos (/ K 2))) J)) (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (/ (* (* U U) (* U U)) (* (* 2 (cos (/ K 2))) J)))) (/ (* (* U U) (* U U)) (* (* 2 (cos (/ K 2))) J))))))))
341.037 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)) (sqrt (sqrt (+ (* (* (* 2 (cos (/ K 2))) J) (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) U)))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* 2 (cos (/ K 2))) J)) (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (/ (* (* U U) (* U U)) (* (* 2 (cos (/ K 2))) J)))) (/ (* (* U U) (* U U)) (* (* 2 (cos (/ K 2))) J)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
341.038 * * * * [progress]: [ 117 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
341.038 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
341.039 * * [simplify]: iters left: 6 (53 enodes)
341.063 * * [simplify]: iters left: 5 (269 enodes)
341.169 * * [simplify]: Extracting #0: cost 1 inf + 0
341.169 * * [simplify]: Extracting #1: cost 30 inf + 0
341.169 * * [simplify]: Extracting #2: cost 59 inf + 1
341.169 * * [simplify]: Extracting #3: cost 69 inf + 2
341.170 * * [simplify]: Extracting #4: cost 101 inf + 45
341.171 * * [simplify]: Extracting #5: cost 237 inf + 662
341.174 * * [simplify]: Extracting #6: cost 316 inf + 3972
341.189 * * [simplify]: Extracting #7: cost 188 inf + 43023
341.212 * * [simplify]: Extracting #8: cost 68 inf + 92007
341.261 * * [simplify]: Extracting #9: cost 37 inf + 109102
341.328 * * [simplify]: Extracting #10: cost 21 inf + 124666
341.396 * * [simplify]: Extracting #11: cost 20 inf + 125371
341.480 * * [simplify]: Extracting #12: cost 4 inf + 144902
341.556 * * [simplify]: Extracting #13: cost 0 inf + 150404
341.647 * [simplify]: Simplified to (/ (/ (* (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (cos (/ K 2))) (* J -2)) (sqrt (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* (* 2 J) (cos (/ K 2))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U))))))) (sqrt (sqrt (+ (+ (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (cos (/ K 2)) (* (* 2 J) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))))
341.647 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (cos (/ K 2))) (* J -2)) (sqrt (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* (* 2 J) (cos (/ K 2))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U))))))) (sqrt (sqrt (+ (+ (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (cos (/ K 2)) (* (* 2 J) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
341.649 * * * * [progress]: [ 118 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
341.650 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
341.651 * * [simplify]: iters left: 6 (50 enodes)
341.682 * * [simplify]: iters left: 5 (260 enodes)
341.792 * * [simplify]: Extracting #0: cost 1 inf + 0
341.792 * * [simplify]: Extracting #1: cost 30 inf + 0
341.792 * * [simplify]: Extracting #2: cost 59 inf + 1
341.793 * * [simplify]: Extracting #3: cost 68 inf + 44
341.793 * * [simplify]: Extracting #4: cost 106 inf + 45
341.794 * * [simplify]: Extracting #5: cost 242 inf + 437
341.797 * * [simplify]: Extracting #6: cost 328 inf + 3691
341.816 * * [simplify]: Extracting #7: cost 172 inf + 55772
341.842 * * [simplify]: Extracting #8: cost 81 inf + 93763
341.902 * * [simplify]: Extracting #9: cost 26 inf + 126636
341.975 * * [simplify]: Extracting #10: cost 4 inf + 152280
342.061 * * [simplify]: Extracting #11: cost 0 inf + 155823
342.136 * * [simplify]: Extracting #12: cost 0 inf + 155463
342.208 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* U U)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)))))))) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* U U)) (* U (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)))))))
342.209 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* U U)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)))))))) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* U U)) (* U (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
342.211 * * * * [progress]: [ 119 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
342.212 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
342.213 * * [simplify]: iters left: 6 (52 enodes)
342.245 * * [simplify]: iters left: 5 (270 enodes)
342.377 * * [simplify]: Extracting #0: cost 1 inf + 0
342.377 * * [simplify]: Extracting #1: cost 30 inf + 0
342.377 * * [simplify]: Extracting #2: cost 59 inf + 1
342.377 * * [simplify]: Extracting #3: cost 68 inf + 44
342.378 * * [simplify]: Extracting #4: cost 102 inf + 45
342.378 * * [simplify]: Extracting #5: cost 243 inf + 335
342.380 * * [simplify]: Extracting #6: cost 318 inf + 4633
342.387 * * [simplify]: Extracting #7: cost 183 inf + 44433
342.416 * * [simplify]: Extracting #8: cost 88 inf + 82646
342.453 * * [simplify]: Extracting #9: cost 26 inf + 118044
342.537 * * [simplify]: Extracting #10: cost 5 inf + 138974
342.609 * * [simplify]: Extracting #11: cost 0 inf + 144904
342.678 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J)))) (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U U)))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) U) (* (* U (/ (/ U 2) (* (cos (/ K 2)) J))) U)))))))
342.679 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J)))) (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U U)))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) U) (* (* U (/ (/ U 2) (* (cos (/ K 2)) J))) U))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
342.680 * * * * [progress]: [ 120 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
342.681 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
342.682 * * [simplify]: iters left: 6 (50 enodes)
342.713 * * [simplify]: iters left: 5 (260 enodes)
342.833 * * [simplify]: Extracting #0: cost 1 inf + 0
342.833 * * [simplify]: Extracting #1: cost 30 inf + 0
342.833 * * [simplify]: Extracting #2: cost 59 inf + 1
342.834 * * [simplify]: Extracting #3: cost 69 inf + 2
342.834 * * [simplify]: Extracting #4: cost 103 inf + 45
342.835 * * [simplify]: Extracting #5: cost 238 inf + 437
342.839 * * [simplify]: Extracting #6: cost 328 inf + 5374
342.852 * * [simplify]: Extracting #7: cost 188 inf + 51227
342.887 * * [simplify]: Extracting #8: cost 63 inf + 104019
342.963 * * [simplify]: Extracting #9: cost 22 inf + 133847
343.023 * * [simplify]: Extracting #10: cost 17 inf + 138493
343.104 * * [simplify]: Extracting #11: cost 2 inf + 156557
343.179 * * [simplify]: Extracting #12: cost 0 inf + 159489
343.267 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (sqrt (sqrt (+ (* (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* 2 (cos (/ K 2))) J)) (* U (* U (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))))
343.267 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (sqrt (sqrt (+ (* (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* 2 (cos (/ K 2))) J)) (* U (* U (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
343.269 * * * * [progress]: [ 121 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
343.269 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
343.269 * * [simplify]: iters left: 6 (52 enodes)
343.287 * * [simplify]: iters left: 5 (270 enodes)
343.388 * * [simplify]: Extracting #0: cost 1 inf + 0
343.388 * * [simplify]: Extracting #1: cost 30 inf + 0
343.388 * * [simplify]: Extracting #2: cost 59 inf + 1
343.388 * * [simplify]: Extracting #3: cost 69 inf + 2
343.389 * * [simplify]: Extracting #4: cost 102 inf + 45
343.389 * * [simplify]: Extracting #5: cost 241 inf + 519
343.391 * * [simplify]: Extracting #6: cost 315 inf + 4696
343.400 * * [simplify]: Extracting #7: cost 169 inf + 49745
343.441 * * [simplify]: Extracting #8: cost 61 inf + 97758
343.485 * * [simplify]: Extracting #9: cost 22 inf + 121450
343.535 * * [simplify]: Extracting #10: cost 18 inf + 124870
343.619 * * [simplify]: Extracting #11: cost 2 inf + 143921
343.679 * * [simplify]: Extracting #12: cost 0 inf + 146893
343.744 * [simplify]: Simplified to (/ (/ (* (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* 2 (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J))) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))))))
343.744 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* 2 (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J))) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
343.745 * * * * [progress]: [ 122 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
343.745 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
343.746 * * [simplify]: iters left: 6 (51 enodes)
343.763 * * [simplify]: iters left: 5 (259 enodes)
343.870 * * [simplify]: Extracting #0: cost 1 inf + 0
343.870 * * [simplify]: Extracting #1: cost 30 inf + 0
343.870 * * [simplify]: Extracting #2: cost 59 inf + 1
343.871 * * [simplify]: Extracting #3: cost 69 inf + 2
343.871 * * [simplify]: Extracting #4: cost 105 inf + 45
343.872 * * [simplify]: Extracting #5: cost 238 inf + 377
343.875 * * [simplify]: Extracting #6: cost 328 inf + 4033
343.892 * * [simplify]: Extracting #7: cost 179 inf + 50747
343.918 * * [simplify]: Extracting #8: cost 83 inf + 92951
343.975 * * [simplify]: Extracting #9: cost 20 inf + 134184
344.049 * * [simplify]: Extracting #10: cost 7 inf + 148996
344.136 * * [simplify]: Extracting #11: cost 0 inf + 158535
344.203 * * [simplify]: Extracting #12: cost 0 inf + 158455
344.312 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) U) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) U) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (sqrt (sqrt (+ (* (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (cos (/ K 2))) J)) (* (* U U) (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))))))))
344.312 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) U) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) U) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (sqrt (sqrt (+ (* (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (cos (/ K 2))) J)) (* (* U U) (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
344.314 * * * * [progress]: [ 123 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
344.315 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
344.316 * * [simplify]: iters left: 6 (53 enodes)
344.349 * * [simplify]: iters left: 5 (269 enodes)
344.450 * * [simplify]: Extracting #0: cost 1 inf + 0
344.451 * * [simplify]: Extracting #1: cost 30 inf + 0
344.451 * * [simplify]: Extracting #2: cost 59 inf + 1
344.451 * * [simplify]: Extracting #3: cost 69 inf + 2
344.452 * * [simplify]: Extracting #4: cost 104 inf + 45
344.453 * * [simplify]: Extracting #5: cost 238 inf + 805
344.456 * * [simplify]: Extracting #6: cost 313 inf + 3360
344.470 * * [simplify]: Extracting #7: cost 181 inf + 45315
344.509 * * [simplify]: Extracting #8: cost 60 inf + 98555
344.557 * * [simplify]: Extracting #9: cost 28 inf + 115150
344.635 * * [simplify]: Extracting #10: cost 4 inf + 142884
344.707 * * [simplify]: Extracting #11: cost 0 inf + 147827
344.776 * * [simplify]: Extracting #12: cost 0 inf + 147787
344.829 * [simplify]: Simplified to (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (sqrt (+ (* U (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (+ 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* 2 (* (cos (/ K 2)) J)))))) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U)))))))) (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))))
344.829 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (sqrt (+ (* U (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (+ 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* 2 (* (cos (/ K 2)) J)))))) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U)))))))) (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
344.830 * * * * [progress]: [ 124 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3)))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
344.830 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3))))))
344.831 * * [simplify]: iters left: 6 (51 enodes)
344.853 * * [simplify]: iters left: 5 (259 enodes)
344.928 * * [simplify]: Extracting #0: cost 1 inf + 0
344.929 * * [simplify]: Extracting #1: cost 30 inf + 0
344.929 * * [simplify]: Extracting #2: cost 59 inf + 1
344.929 * * [simplify]: Extracting #3: cost 69 inf + 2
344.930 * * [simplify]: Extracting #4: cost 102 inf + 45
344.931 * * [simplify]: Extracting #5: cost 238 inf + 704
344.934 * * [simplify]: Extracting #6: cost 301 inf + 5331
344.958 * * [simplify]: Extracting #7: cost 134 inf + 64367
345.010 * * [simplify]: Extracting #8: cost 36 inf + 107940
345.062 * * [simplify]: Extracting #9: cost 9 inf + 133544
345.119 * * [simplify]: Extracting #10: cost 0 inf + 144368
345.199 * * [simplify]: Extracting #11: cost 0 inf + 143975
345.272 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* U (* U (/ (/ U 2) (* (cos (/ K 2)) J))))) U))))) -2) (sqrt (sqrt (+ (* (* (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))
345.272 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* U (* U (/ (/ U 2) (* (cos (/ K 2)) J))))) U))))) -2) (sqrt (sqrt (+ (* (* (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
345.273 * * * * [progress]: [ 125 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
345.274 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
345.274 * * [simplify]: iters left: 6 (51 enodes)
345.291 * * [simplify]: iters left: 5 (267 enodes)
345.402 * * [simplify]: Extracting #0: cost 1 inf + 0
345.402 * * [simplify]: Extracting #1: cost 30 inf + 0
345.403 * * [simplify]: Extracting #2: cost 59 inf + 1
345.403 * * [simplify]: Extracting #3: cost 69 inf + 2
345.403 * * [simplify]: Extracting #4: cost 100 inf + 45
345.405 * * [simplify]: Extracting #5: cost 232 inf + 662
345.408 * * [simplify]: Extracting #6: cost 290 inf + 4536
345.424 * * [simplify]: Extracting #7: cost 161 inf + 44252
345.467 * * [simplify]: Extracting #8: cost 52 inf + 96552
345.532 * * [simplify]: Extracting #9: cost 20 inf + 116434
345.613 * * [simplify]: Extracting #10: cost 4 inf + 131765
345.674 * * [simplify]: Extracting #11: cost 0 inf + 137587
345.731 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (- (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (/ -2 (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* U (* (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) U) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (+ 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)))))))))
345.731 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (- (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (/ -2 (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* U (* (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) U) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (+ 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
345.733 * * * * [progress]: [ 126 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
345.733 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
345.734 * * [simplify]: iters left: 6 (53 enodes)
345.770 * * [simplify]: iters left: 5 (276 enodes)
345.889 * * [simplify]: Extracting #0: cost 1 inf + 0
345.889 * * [simplify]: Extracting #1: cost 30 inf + 0
345.889 * * [simplify]: Extracting #2: cost 59 inf + 1
345.890 * * [simplify]: Extracting #3: cost 69 inf + 2
345.890 * * [simplify]: Extracting #4: cost 102 inf + 45
345.890 * * [simplify]: Extracting #5: cost 243 inf + 478
345.892 * * [simplify]: Extracting #6: cost 333 inf + 4387
345.899 * * [simplify]: Extracting #7: cost 210 inf + 41045
345.922 * * [simplify]: Extracting #8: cost 50 inf + 103977
345.954 * * [simplify]: Extracting #9: cost 23 inf + 121252
346.020 * * [simplify]: Extracting #10: cost 18 inf + 125819
346.079 * * [simplify]: Extracting #11: cost 5 inf + 140714
346.148 * * [simplify]: Extracting #12: cost 0 inf + 147841
346.214 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (* (* (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) U)) U))))) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (* (+ 1 (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (* U U) (* U U)))))))
346.214 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (* (* (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) U)) U))))) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (* (+ 1 (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (* U U) (* U U))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
346.215 * * * * [progress]: [ 127 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
346.216 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
346.216 * * [simplify]: iters left: 6 (46 enodes)
346.232 * * [simplify]: iters left: 5 (234 enodes)
346.336 * * [simplify]: Extracting #0: cost 1 inf + 0
346.336 * * [simplify]: Extracting #1: cost 30 inf + 0
346.336 * * [simplify]: Extracting #2: cost 59 inf + 1
346.337 * * [simplify]: Extracting #3: cost 69 inf + 2
346.337 * * [simplify]: Extracting #4: cost 94 inf + 45
346.338 * * [simplify]: Extracting #5: cost 204 inf + 621
346.340 * * [simplify]: Extracting #6: cost 286 inf + 5889
346.351 * * [simplify]: Extracting #7: cost 100 inf + 68652
346.384 * * [simplify]: Extracting #8: cost 29 inf + 102010
346.452 * * [simplify]: Extracting #9: cost 7 inf + 127144
346.507 * * [simplify]: Extracting #10: cost 0 inf + 135908
346.559 * * [simplify]: Extracting #11: cost 0 inf + 135271
346.629 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U))) (* (* U U) (* U U)))))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* U (* U (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))))))
346.630 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U))) (* (* U U) (* U U)))))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* U (* U (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
346.630 * * * * [progress]: [ 128 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
346.631 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
346.631 * * [simplify]: iters left: 6 (51 enodes)
346.648 * * [simplify]: iters left: 5 (264 enodes)
346.749 * * [simplify]: Extracting #0: cost 1 inf + 0
346.749 * * [simplify]: Extracting #1: cost 30 inf + 0
346.750 * * [simplify]: Extracting #2: cost 59 inf + 1
346.750 * * [simplify]: Extracting #3: cost 69 inf + 2
346.750 * * [simplify]: Extracting #4: cost 102 inf + 45
346.751 * * [simplify]: Extracting #5: cost 242 inf + 335
346.752 * * [simplify]: Extracting #6: cost 320 inf + 4580
346.775 * * [simplify]: Extracting #7: cost 142 inf + 65612
346.827 * * [simplify]: Extracting #8: cost 61 inf + 99681
346.892 * * [simplify]: Extracting #9: cost 21 inf + 127123
346.952 * * [simplify]: Extracting #10: cost 3 inf + 148783
347.020 * * [simplify]: Extracting #11: cost 0 inf + 153301
347.073 * [simplify]: Simplified to (/ (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (/ (* (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* U U)) (* U (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* 2 (cos (/ K 2))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* U (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1))) (* U U)))))) (* (* (cos (/ K 2)) J) -2)))
347.073 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (/ (* (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* U U)) (* U (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* 2 (cos (/ K 2))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* U (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1))) (* U U)))))) (* (* (cos (/ K 2)) J) -2))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
347.074 * * * * [progress]: [ 129 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
347.075 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
347.075 * * [simplify]: iters left: 6 (39 enodes)
347.087 * * [simplify]: iters left: 5 (191 enodes)
347.138 * * [simplify]: Extracting #0: cost 1 inf + 0
347.138 * * [simplify]: Extracting #1: cost 24 inf + 0
347.138 * * [simplify]: Extracting #2: cost 51 inf + 1
347.138 * * [simplify]: Extracting #3: cost 60 inf + 2
347.139 * * [simplify]: Extracting #4: cost 114 inf + 45
347.139 * * [simplify]: Extracting #5: cost 251 inf + 704
347.141 * * [simplify]: Extracting #6: cost 226 inf + 6897
347.158 * * [simplify]: Extracting #7: cost 70 inf + 55901
347.179 * * [simplify]: Extracting #8: cost 26 inf + 76536
347.203 * * [simplify]: Extracting #9: cost 5 inf + 99177
347.247 * * [simplify]: Extracting #10: cost 0 inf + 102378
347.294 * * [simplify]: Extracting #11: cost 0 inf + 101723
347.343 * [simplify]: Simplified to (/ (* (* (cos (/ K 2)) J) (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) -2)) (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (+ (/ (* (/ (/ (* U U) 2) (* (cos (/ K 2)) J)) (* (* U U) (/ (/ (* U U) 2) (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (* (* U U) (/ (/ (* U U) 2) (* (cos (/ K 2)) J)))))))
347.343 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (cos (/ K 2)) J) (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) -2)) (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (+ (/ (* (/ (/ (* U U) 2) (* (cos (/ K 2)) J)) (* (* U U) (/ (/ (* U U) 2) (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (* (* U U) (/ (/ (* U U) 2) (* (cos (/ K 2)) J))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
347.344 * * * * [progress]: [ 130 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
347.344 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
347.344 * * [simplify]: iters left: 6 (53 enodes)
347.361 * * [simplify]: iters left: 5 (268 enodes)
347.442 * * [simplify]: Extracting #0: cost 1 inf + 0
347.442 * * [simplify]: Extracting #1: cost 30 inf + 0
347.443 * * [simplify]: Extracting #2: cost 59 inf + 1
347.443 * * [simplify]: Extracting #3: cost 69 inf + 2
347.443 * * [simplify]: Extracting #4: cost 107 inf + 45
347.444 * * [simplify]: Extracting #5: cost 273 inf + 519
347.445 * * [simplify]: Extracting #6: cost 337 inf + 3703
347.456 * * [simplify]: Extracting #7: cost 207 inf + 45173
347.504 * * [simplify]: Extracting #8: cost 45 inf + 114669
347.549 * * [simplify]: Extracting #9: cost 23 inf + 129990
347.621 * * [simplify]: Extracting #10: cost 18 inf + 134339
347.706 * * [simplify]: Extracting #11: cost 7 inf + 147050
347.760 * * [simplify]: Extracting #12: cost 0 inf + 157429
347.829 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* U U) (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U U))) U)))))
347.829 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* U U) (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U U))) U))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
347.831 * * * * [progress]: [ 131 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
347.831 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
347.832 * * [simplify]: iters left: 6 (45 enodes)
347.856 * * [simplify]: iters left: 5 (211 enodes)
347.912 * * [simplify]: Extracting #0: cost 1 inf + 0
347.912 * * [simplify]: Extracting #1: cost 24 inf + 0
347.912 * * [simplify]: Extracting #2: cost 51 inf + 1
347.912 * * [simplify]: Extracting #3: cost 60 inf + 2
347.912 * * [simplify]: Extracting #4: cost 115 inf + 45
347.913 * * [simplify]: Extracting #5: cost 255 inf + 745
347.915 * * [simplify]: Extracting #6: cost 223 inf + 9152
347.928 * * [simplify]: Extracting #7: cost 66 inf + 57995
347.957 * * [simplify]: Extracting #8: cost 33 inf + 72356
347.996 * * [simplify]: Extracting #9: cost 15 inf + 88853
348.026 * * [simplify]: Extracting #10: cost 0 inf + 103958
348.079 * * [simplify]: Extracting #11: cost 0 inf + 103918
348.112 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (* (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* U U)))))) -2)
348.112 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (* (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* U U)))))) -2) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
348.113 * * * * [progress]: [ 132 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
348.114 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
348.115 * * [simplify]: iters left: 6 (53 enodes)
348.148 * * [simplify]: iters left: 5 (273 enodes)
348.240 * * [simplify]: Extracting #0: cost 1 inf + 0
348.240 * * [simplify]: Extracting #1: cost 30 inf + 0
348.240 * * [simplify]: Extracting #2: cost 59 inf + 1
348.240 * * [simplify]: Extracting #3: cost 69 inf + 2
348.243 * * [simplify]: Extracting #4: cost 109 inf + 45
348.244 * * [simplify]: Extracting #5: cost 294 inf + 621
348.246 * * [simplify]: Extracting #6: cost 343 inf + 7089
348.254 * * [simplify]: Extracting #7: cost 200 inf + 51101
348.289 * * [simplify]: Extracting #8: cost 54 inf + 117059
348.329 * * [simplify]: Extracting #9: cost 17 inf + 142519
348.414 * * [simplify]: Extracting #10: cost 0 inf + 162436
348.513 * * [simplify]: Extracting #11: cost 0 inf + 162396
348.611 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* U (* U U))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* U (* U U))))))))
348.611 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* U (* U U))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* U (* U U)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
348.613 * * * * [progress]: [ 133 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
348.614 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
348.614 * * [simplify]: iters left: 6 (46 enodes)
348.643 * * [simplify]: iters left: 5 (229 enodes)
348.752 * * [simplify]: Extracting #0: cost 1 inf + 0
348.752 * * [simplify]: Extracting #1: cost 24 inf + 0
348.752 * * [simplify]: Extracting #2: cost 51 inf + 1
348.753 * * [simplify]: Extracting #3: cost 60 inf + 2
348.753 * * [simplify]: Extracting #4: cost 127 inf + 45
348.755 * * [simplify]: Extracting #5: cost 280 inf + 846
348.759 * * [simplify]: Extracting #6: cost 235 inf + 12211
349.212 * * [simplify]: Extracting #7: cost 83 inf + 60779
349.241 * * [simplify]: Extracting #8: cost 25 inf + 88956
349.270 * * [simplify]: Extracting #9: cost 11 inf + 102953
349.328 * * [simplify]: Extracting #10: cost 0 inf + 113956
349.367 * * [simplify]: Extracting #11: cost 0 inf + 113276
349.419 * [simplify]: Simplified to (/ (* (* J (* (cos (/ K 2)) -2)) (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1))) (sqrt (+ (* (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (* U (* U U)) (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))))
349.419 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* J (* (cos (/ K 2)) -2)) (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1))) (sqrt (+ (* (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (* U (* U U)) (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
349.421 * * * * [progress]: [ 134 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
349.421 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
349.422 * * [simplify]: iters left: 6 (52 enodes)
349.445 * * [simplify]: iters left: 5 (271 enodes)
349.561 * * [simplify]: Extracting #0: cost 1 inf + 0
349.561 * * [simplify]: Extracting #1: cost 30 inf + 0
349.561 * * [simplify]: Extracting #2: cost 59 inf + 1
349.561 * * [simplify]: Extracting #3: cost 68 inf + 44
349.561 * * [simplify]: Extracting #4: cost 103 inf + 45
349.562 * * [simplify]: Extracting #5: cost 250 inf + 519
349.564 * * [simplify]: Extracting #6: cost 336 inf + 4762
349.573 * * [simplify]: Extracting #7: cost 192 inf + 50412
349.602 * * [simplify]: Extracting #8: cost 52 inf + 107279
349.640 * * [simplify]: Extracting #9: cost 30 inf + 121817
349.709 * * [simplify]: Extracting #10: cost 22 inf + 131301
349.768 * * [simplify]: Extracting #11: cost 3 inf + 152264
349.851 * * [simplify]: Extracting #12: cost 0 inf + 156622
349.936 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* U U) (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))) (/ -2 (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (+ (* (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))))))))
349.936 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* U U) (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))) (/ -2 (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (+ (* (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
349.938 * * * * [progress]: [ 135 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
349.938 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
349.939 * * [simplify]: iters left: 6 (45 enodes)
349.966 * * [simplify]: iters left: 5 (227 enodes)
350.060 * * [simplify]: Extracting #0: cost 1 inf + 0
350.060 * * [simplify]: Extracting #1: cost 30 inf + 0
350.061 * * [simplify]: Extracting #2: cost 59 inf + 1
350.061 * * [simplify]: Extracting #3: cost 68 inf + 44
350.062 * * [simplify]: Extracting #4: cost 94 inf + 45
350.063 * * [simplify]: Extracting #5: cost 209 inf + 663
350.066 * * [simplify]: Extracting #6: cost 280 inf + 6016
350.083 * * [simplify]: Extracting #7: cost 106 inf + 61951
350.109 * * [simplify]: Extracting #8: cost 28 inf + 103932
350.149 * * [simplify]: Extracting #9: cost 11 inf + 120605
350.195 * * [simplify]: Extracting #10: cost 0 inf + 133688
350.250 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (/ (* (/ U (/ (* 2 (* (cos (/ K 2)) J)) U)) (* (* U U) (/ U (/ (* 2 (* (cos (/ K 2)) J)) U)))) (* 2 (* (cos (/ K 2)) J))) (* (* U U) (/ U (/ (* 2 (* (cos (/ K 2)) J)) U)))))))) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))))
350.250 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (/ (* (/ U (/ (* 2 (* (cos (/ K 2)) J)) U)) (* (* U U) (/ U (/ (* 2 (* (cos (/ K 2)) J)) U)))) (* 2 (* (cos (/ K 2)) J))) (* (* U U) (/ U (/ (* 2 (* (cos (/ K 2)) J)) U)))))))) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
350.251 * * * * [progress]: [ 136 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
350.251 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
350.251 * * [simplify]: iters left: 6 (53 enodes)
350.279 * * [simplify]: iters left: 5 (271 enodes)
350.370 * * [simplify]: Extracting #0: cost 1 inf + 0
350.370 * * [simplify]: Extracting #1: cost 30 inf + 0
350.371 * * [simplify]: Extracting #2: cost 59 inf + 1
350.375 * * [simplify]: Extracting #3: cost 69 inf + 2
350.375 * * [simplify]: Extracting #4: cost 102 inf + 45
350.377 * * [simplify]: Extracting #5: cost 236 inf + 621
350.379 * * [simplify]: Extracting #6: cost 317 inf + 5001
350.391 * * [simplify]: Extracting #7: cost 142 inf + 65310
350.422 * * [simplify]: Extracting #8: cost 59 inf + 102545
350.456 * * [simplify]: Extracting #9: cost 38 inf + 112694
350.511 * * [simplify]: Extracting #10: cost 18 inf + 132883
350.602 * * [simplify]: Extracting #11: cost 6 inf + 148710
350.686 * * [simplify]: Extracting #12: cost 0 inf + 156624
350.787 * * [simplify]: Extracting #13: cost 0 inf + 155664
350.858 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* U U) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))))) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))))))
350.858 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* U U) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))))) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
350.859 * * * * [progress]: [ 137 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
350.859 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
350.859 * * [simplify]: iters left: 6 (46 enodes)
350.876 * * [simplify]: iters left: 5 (228 enodes)
350.962 * * [simplify]: Extracting #0: cost 1 inf + 0
350.962 * * [simplify]: Extracting #1: cost 30 inf + 0
350.963 * * [simplify]: Extracting #2: cost 59 inf + 1
350.963 * * [simplify]: Extracting #3: cost 69 inf + 2
350.963 * * [simplify]: Extracting #4: cost 94 inf + 45
350.964 * * [simplify]: Extracting #5: cost 201 inf + 478
350.967 * * [simplify]: Extracting #6: cost 274 inf + 4993
350.978 * * [simplify]: Extracting #7: cost 95 inf + 64579
351.009 * * [simplify]: Extracting #8: cost 29 inf + 98676
351.065 * * [simplify]: Extracting #9: cost 15 inf + 112153
351.112 * * [simplify]: Extracting #10: cost 0 inf + 129378
351.161 * * [simplify]: Extracting #11: cost 0 inf + 127538
351.199 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U))) U))))) -2) (sqrt (sqrt (+ (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))
351.199 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U))) U))))) -2) (sqrt (sqrt (+ (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
351.200 * * * * [progress]: [ 138 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
351.200 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
351.201 * * [simplify]: iters left: 6 (54 enodes)
351.228 * * [simplify]: iters left: 5 (272 enodes)
351.330 * * [simplify]: Extracting #0: cost 1 inf + 0
351.330 * * [simplify]: Extracting #1: cost 30 inf + 0
351.330 * * [simplify]: Extracting #2: cost 59 inf + 1
351.330 * * [simplify]: Extracting #3: cost 68 inf + 44
351.330 * * [simplify]: Extracting #4: cost 107 inf + 45
351.331 * * [simplify]: Extracting #5: cost 274 inf + 662
351.333 * * [simplify]: Extracting #6: cost 333 inf + 4797
351.346 * * [simplify]: Extracting #7: cost 206 inf + 44800
351.376 * * [simplify]: Extracting #8: cost 57 inf + 104733
351.413 * * [simplify]: Extracting #9: cost 38 inf + 116606
351.457 * * [simplify]: Extracting #10: cost 21 inf + 133195
351.548 * * [simplify]: Extracting #11: cost 4 inf + 152710
351.644 * * [simplify]: Extracting #12: cost 0 inf + 157934
351.733 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* U (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* U U)) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1)))))) (sqrt (sqrt (+ (* (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* U U))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))))
351.733 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* U (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* U U)) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1)))))) (sqrt (sqrt (+ (* (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* U U))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
351.734 * * * * [progress]: [ 139 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
351.734 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
351.735 * * [simplify]: iters left: 6 (47 enodes)
351.751 * * [simplify]: iters left: 5 (228 enodes)
351.834 * * [simplify]: Extracting #0: cost 1 inf + 0
351.835 * * [simplify]: Extracting #1: cost 23 inf + 0
351.835 * * [simplify]: Extracting #2: cost 50 inf + 1
351.835 * * [simplify]: Extracting #3: cost 59 inf + 2
351.835 * * [simplify]: Extracting #4: cost 115 inf + 45
351.836 * * [simplify]: Extracting #5: cost 265 inf + 663
351.838 * * [simplify]: Extracting #6: cost 226 inf + 9791
351.863 * * [simplify]: Extracting #7: cost 69 inf + 59507
351.888 * * [simplify]: Extracting #8: cost 18 inf + 87047
351.938 * * [simplify]: Extracting #9: cost 0 inf + 103869
351.976 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J))) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))))))
351.976 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J))) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
351.976 * * * * [progress]: [ 140 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
351.977 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
351.977 * * [simplify]: iters left: 6 (53 enodes)
352.000 * * [simplify]: iters left: 5 (271 enodes)
352.099 * * [simplify]: Extracting #0: cost 1 inf + 0
352.099 * * [simplify]: Extracting #1: cost 30 inf + 0
352.099 * * [simplify]: Extracting #2: cost 59 inf + 1
352.099 * * [simplify]: Extracting #3: cost 69 inf + 2
352.100 * * [simplify]: Extracting #4: cost 102 inf + 45
352.101 * * [simplify]: Extracting #5: cost 240 inf + 519
352.105 * * [simplify]: Extracting #6: cost 317 inf + 7196
352.133 * * [simplify]: Extracting #7: cost 145 inf + 67513
352.184 * * [simplify]: Extracting #8: cost 48 inf + 113526
352.251 * * [simplify]: Extracting #9: cost 20 inf + 132614
352.338 * * [simplify]: Extracting #10: cost 7 inf + 146968
352.437 * * [simplify]: Extracting #11: cost 0 inf + 155806
352.501 * * [simplify]: Extracting #12: cost 0 inf + 155006
352.584 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (cos (/ K 2))) (/ (sqrt (sqrt (+ (* (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* U (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))) J)) -2) (sqrt (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) U) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) U))))))
352.584 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (cos (/ K 2))) (/ (sqrt (sqrt (+ (* (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* U (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))) J)) -2) (sqrt (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) U) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) U)))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
352.585 * * * * [progress]: [ 141 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
352.585 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
352.586 * * [simplify]: iters left: 6 (46 enodes)
352.603 * * [simplify]: iters left: 5 (227 enodes)
352.712 * * [simplify]: Extracting #0: cost 1 inf + 0
352.712 * * [simplify]: Extracting #1: cost 30 inf + 0
352.712 * * [simplify]: Extracting #2: cost 59 inf + 1
352.713 * * [simplify]: Extracting #3: cost 68 inf + 44
352.713 * * [simplify]: Extracting #4: cost 94 inf + 45
352.714 * * [simplify]: Extracting #5: cost 201 inf + 622
352.717 * * [simplify]: Extracting #6: cost 271 inf + 4450
352.737 * * [simplify]: Extracting #7: cost 116 inf + 52335
352.769 * * [simplify]: Extracting #8: cost 24 inf + 98933
352.815 * * [simplify]: Extracting #9: cost 0 inf + 124347
352.868 * * [simplify]: Extracting #10: cost 0 inf + 121947
352.922 * [simplify]: Simplified to (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1))) (sqrt (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* U U)) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U U)))))))
352.922 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1))) (sqrt (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* U U)) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U U))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
352.923 * * * * [progress]: [ 142 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
352.924 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
352.925 * * [simplify]: iters left: 6 (53 enodes)
352.958 * * [simplify]: iters left: 5 (271 enodes)
353.064 * * [simplify]: Extracting #0: cost 1 inf + 0
353.064 * * [simplify]: Extracting #1: cost 30 inf + 0
353.065 * * [simplify]: Extracting #2: cost 59 inf + 1
353.065 * * [simplify]: Extracting #3: cost 69 inf + 2
353.065 * * [simplify]: Extracting #4: cost 102 inf + 45
353.067 * * [simplify]: Extracting #5: cost 240 inf + 519
353.070 * * [simplify]: Extracting #6: cost 323 inf + 4420
353.090 * * [simplify]: Extracting #7: cost 168 inf + 55457
353.134 * * [simplify]: Extracting #8: cost 67 inf + 96633
353.174 * * [simplify]: Extracting #9: cost 26 inf + 123036
353.226 * * [simplify]: Extracting #10: cost 19 inf + 127642
353.296 * * [simplify]: Extracting #11: cost 5 inf + 143269
353.359 * * [simplify]: Extracting #12: cost 0 inf + 149637
353.453 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* U (/ (/ U 2) (* (cos (/ K 2)) J))) (* U (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* U (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* U U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)))))))
353.453 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* U (/ (/ U 2) (* (cos (/ K 2)) J))) (* U (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* U (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* U U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
353.455 * * * * [progress]: [ 143 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
353.456 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
353.456 * * [simplify]: iters left: 6 (46 enodes)
353.485 * * [simplify]: iters left: 5 (228 enodes)
353.580 * * [simplify]: Extracting #0: cost 1 inf + 0
353.581 * * [simplify]: Extracting #1: cost 30 inf + 0
353.581 * * [simplify]: Extracting #2: cost 59 inf + 1
353.581 * * [simplify]: Extracting #3: cost 68 inf + 44
353.582 * * [simplify]: Extracting #4: cost 94 inf + 45
353.583 * * [simplify]: Extracting #5: cost 204 inf + 335
353.586 * * [simplify]: Extracting #6: cost 264 inf + 7682
353.598 * * [simplify]: Extracting #7: cost 98 inf + 60639
353.629 * * [simplify]: Extracting #8: cost 27 inf + 97965
353.664 * * [simplify]: Extracting #9: cost 16 inf + 107889
353.721 * * [simplify]: Extracting #10: cost 0 inf + 126742
353.773 * * [simplify]: Extracting #11: cost 0 inf + 126189
353.851 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (* (* (/ U 2) (/ U (* (cos (/ K 2)) J))) (* (/ U 2) (/ U (* (cos (/ K 2)) J)))) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* U (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U U)) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))))))))
353.851 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (* (* (/ U 2) (/ U (* (cos (/ K 2)) J))) (* (/ U 2) (/ U (* (cos (/ K 2)) J)))) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* U (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U U)) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
353.852 * * * * [progress]: [ 144 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
353.853 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
353.854 * * [simplify]: iters left: 6 (52 enodes)
353.886 * * [simplify]: iters left: 5 (273 enodes)
353.969 * * [simplify]: Extracting #0: cost 1 inf + 0
353.969 * * [simplify]: Extracting #1: cost 30 inf + 0
353.970 * * [simplify]: Extracting #2: cost 59 inf + 1
353.970 * * [simplify]: Extracting #3: cost 69 inf + 2
353.970 * * [simplify]: Extracting #4: cost 102 inf + 45
353.977 * * [simplify]: Extracting #5: cost 247 inf + 621
353.980 * * [simplify]: Extracting #6: cost 327 inf + 5955
353.990 * * [simplify]: Extracting #7: cost 178 inf + 54433
354.023 * * [simplify]: Extracting #8: cost 47 inf + 110095
354.081 * * [simplify]: Extracting #9: cost 8 inf + 145381
354.175 * * [simplify]: Extracting #10: cost 0 inf + 155563
354.262 * * [simplify]: Extracting #11: cost 0 inf + 155170
354.346 * [simplify]: Simplified to (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1))) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* U (/ (/ (/ U 2) (cos (/ K 2))) J)) (* U (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (* (* U (/ (/ (/ U 2) (cos (/ K 2))) J)) (* U (/ (/ (/ U 2) (cos (/ K 2))) J))) (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* U (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) 1))) (* U U))))))
354.346 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1))) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* U (/ (/ (/ U 2) (cos (/ K 2))) J)) (* U (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (* (* U (/ (/ (/ U 2) (cos (/ K 2))) J)) (* U (/ (/ (/ U 2) (cos (/ K 2))) J))) (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* U (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) 1))) (* U U)))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
354.347 * * * * [progress]: [ 145 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
354.347 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
354.348 * * [simplify]: iters left: 6 (45 enodes)
354.362 * * [simplify]: iters left: 5 (230 enodes)
354.464 * * [simplify]: Extracting #0: cost 1 inf + 0
354.465 * * [simplify]: Extracting #1: cost 30 inf + 0
354.465 * * [simplify]: Extracting #2: cost 59 inf + 1
354.465 * * [simplify]: Extracting #3: cost 69 inf + 2
354.465 * * [simplify]: Extracting #4: cost 94 inf + 45
354.466 * * [simplify]: Extracting #5: cost 211 inf + 520
354.467 * * [simplify]: Extracting #6: cost 285 inf + 4935
354.481 * * [simplify]: Extracting #7: cost 95 inf + 64318
354.515 * * [simplify]: Extracting #8: cost 23 inf + 105731
354.561 * * [simplify]: Extracting #9: cost 0 inf + 126399
354.628 * * [simplify]: Extracting #10: cost 0 inf + 124359
354.678 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* U U))))))) (/ (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (+ (/ (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))))))))
354.679 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* U U))))))) (/ (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (+ (/ (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
354.680 * * * * [progress]: [ 146 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
354.681 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
354.681 * * [simplify]: iters left: 6 (52 enodes)
354.711 * * [simplify]: iters left: 5 (272 enodes)
354.828 * * [simplify]: Extracting #0: cost 1 inf + 0
354.828 * * [simplify]: Extracting #1: cost 30 inf + 0
354.828 * * [simplify]: Extracting #2: cost 59 inf + 1
354.828 * * [simplify]: Extracting #3: cost 69 inf + 2
354.829 * * [simplify]: Extracting #4: cost 104 inf + 45
354.830 * * [simplify]: Extracting #5: cost 245 inf + 662
354.834 * * [simplify]: Extracting #6: cost 332 inf + 4718
354.854 * * [simplify]: Extracting #7: cost 172 inf + 57623
354.897 * * [simplify]: Extracting #8: cost 45 inf + 107464
354.939 * * [simplify]: Extracting #9: cost 32 inf + 116817
355.004 * * [simplify]: Extracting #10: cost 7 inf + 144497
355.099 * * [simplify]: Extracting #11: cost 0 inf + 152962
355.197 * * [simplify]: Extracting #12: cost 0 inf + 152700
355.271 * [simplify]: Simplified to (/ (/ (* (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J))) (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) U)))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (+ (/ (* (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))))))))
355.271 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J))) (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) U)))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (+ (/ (* (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
355.273 * * * * [progress]: [ 147 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
355.273 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
355.274 * * [simplify]: iters left: 6 (45 enodes)
355.299 * * [simplify]: iters left: 5 (228 enodes)
355.385 * * [simplify]: Extracting #0: cost 1 inf + 0
355.385 * * [simplify]: Extracting #1: cost 30 inf + 0
355.385 * * [simplify]: Extracting #2: cost 59 inf + 1
355.386 * * [simplify]: Extracting #3: cost 68 inf + 44
355.386 * * [simplify]: Extracting #4: cost 94 inf + 45
355.387 * * [simplify]: Extracting #5: cost 216 inf + 847
355.390 * * [simplify]: Extracting #6: cost 280 inf + 5746
355.412 * * [simplify]: Extracting #7: cost 116 inf + 56906
355.455 * * [simplify]: Extracting #8: cost 33 inf + 92597
355.514 * * [simplify]: Extracting #9: cost 16 inf + 107149
355.580 * * [simplify]: Extracting #10: cost 3 inf + 120483
355.641 * * [simplify]: Extracting #11: cost 0 inf + 124039
355.700 * [simplify]: Simplified to (/ (/ (* (* (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* U (* U (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))
355.701 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* U (* U (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
355.702 * * * * [progress]: [ 148 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
355.703 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
355.704 * * [simplify]: iters left: 6 (53 enodes)
355.726 * * [simplify]: iters left: 5 (271 enodes)
355.848 * * [simplify]: Extracting #0: cost 1 inf + 0
355.848 * * [simplify]: Extracting #1: cost 30 inf + 0
355.849 * * [simplify]: Extracting #2: cost 59 inf + 1
355.849 * * [simplify]: Extracting #3: cost 68 inf + 44
355.849 * * [simplify]: Extracting #4: cost 100 inf + 45
355.850 * * [simplify]: Extracting #5: cost 230 inf + 519
355.851 * * [simplify]: Extracting #6: cost 312 inf + 6667
355.863 * * [simplify]: Extracting #7: cost 142 inf + 65310
355.903 * * [simplify]: Extracting #8: cost 56 inf + 102503
355.940 * * [simplify]: Extracting #9: cost 23 inf + 123738
355.982 * * [simplify]: Extracting #10: cost 18 inf + 128826
356.071 * * [simplify]: Extracting #11: cost 3 inf + 146651
356.166 * * [simplify]: Extracting #12: cost 0 inf + 150927
356.242 * [simplify]: Simplified to (/ (* (/ (* (cos (/ K 2)) J) (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* U (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))) (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)))) -2) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* 2 (* (cos (/ K 2)) J))) (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) U))))))
356.242 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (cos (/ K 2)) J) (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* U (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U U)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))) (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)))) -2) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* 2 (* (cos (/ K 2)) J))) (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) U)))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
356.244 * * * * [progress]: [ 149 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
356.244 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
356.245 * * [simplify]: iters left: 6 (46 enodes)
356.262 * * [simplify]: iters left: 5 (228 enodes)
356.340 * * [simplify]: Extracting #0: cost 1 inf + 0
356.340 * * [simplify]: Extracting #1: cost 30 inf + 0
356.340 * * [simplify]: Extracting #2: cost 59 inf + 1
356.340 * * [simplify]: Extracting #3: cost 68 inf + 44
356.341 * * [simplify]: Extracting #4: cost 92 inf + 45
356.342 * * [simplify]: Extracting #5: cost 211 inf + 335
356.345 * * [simplify]: Extracting #6: cost 273 inf + 5868
356.359 * * [simplify]: Extracting #7: cost 98 inf + 63433
356.380 * * [simplify]: Extracting #8: cost 39 inf + 86735
356.428 * * [simplify]: Extracting #9: cost 24 inf + 101354
356.501 * * [simplify]: Extracting #10: cost 1 inf + 127224
356.547 * * [simplify]: Extracting #11: cost 0 inf + 127490
356.616 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* U U))))))
356.616 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* U U)))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
356.617 * * * * [progress]: [ 150 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
356.617 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
356.618 * * [simplify]: iters left: 6 (52 enodes)
356.635 * * [simplify]: iters left: 5 (272 enodes)
356.732 * * [simplify]: Extracting #0: cost 1 inf + 0
356.732 * * [simplify]: Extracting #1: cost 30 inf + 0
356.733 * * [simplify]: Extracting #2: cost 59 inf + 1
356.733 * * [simplify]: Extracting #3: cost 69 inf + 2
356.733 * * [simplify]: Extracting #4: cost 104 inf + 45
356.734 * * [simplify]: Extracting #5: cost 246 inf + 519
356.735 * * [simplify]: Extracting #6: cost 333 inf + 3780
356.750 * * [simplify]: Extracting #7: cost 149 inf + 63397
356.795 * * [simplify]: Extracting #8: cost 46 inf + 107427
356.850 * * [simplify]: Extracting #9: cost 23 inf + 126649
356.902 * * [simplify]: Extracting #10: cost 18 inf + 131535
356.969 * * [simplify]: Extracting #11: cost 4 inf + 148453
357.067 * * [simplify]: Extracting #12: cost 0 inf + 154237
357.122 * [simplify]: Simplified to (/ (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (/ (* (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (+ (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))) (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (* (* (cos (/ K 2)) J) -2)))
357.122 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (/ (* (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (+ (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))) (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (* (* (cos (/ K 2)) J) -2))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
357.123 * * * * [progress]: [ 151 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
357.123 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
357.124 * * [simplify]: iters left: 6 (45 enodes)
357.147 * * [simplify]: iters left: 5 (229 enodes)
357.221 * * [simplify]: Extracting #0: cost 1 inf + 0
357.221 * * [simplify]: Extracting #1: cost 30 inf + 0
357.221 * * [simplify]: Extracting #2: cost 59 inf + 1
357.222 * * [simplify]: Extracting #3: cost 68 inf + 44
357.222 * * [simplify]: Extracting #4: cost 94 inf + 45
357.223 * * [simplify]: Extracting #5: cost 211 inf + 377
357.226 * * [simplify]: Extracting #6: cost 286 inf + 4159
357.251 * * [simplify]: Extracting #7: cost 89 inf + 66075
357.282 * * [simplify]: Extracting #8: cost 38 inf + 85941
357.314 * * [simplify]: Extracting #9: cost 18 inf + 104286
357.367 * * [simplify]: Extracting #10: cost 0 inf + 123749
357.419 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (* (+ (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))) (* U U)))))) (/ (sqrt (+ (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))) 1)) (/ (sqrt (sqrt (+ (* (* (* 2 (cos (/ K 2))) J) (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))) (+ (* (* U U) (/ (* U U) (* (* 2 (cos (/ K 2))) J))) (* (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (/ (* U U) (* (* 2 (cos (/ K 2))) J)))))))) (* (cos (/ K 2)) J))))
357.419 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (* (+ (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))) (* U U)))))) (/ (sqrt (+ (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))) 1)) (/ (sqrt (sqrt (+ (* (* (* 2 (cos (/ K 2))) J) (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))) (+ (* (* U U) (/ (* U U) (* (* 2 (cos (/ K 2))) J))) (* (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (/ (* U U) (* (* 2 (cos (/ K 2))) J)))))))) (* (cos (/ K 2)) J)))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
357.420 * * * * [progress]: [ 152 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
357.420 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
357.420 * * [simplify]: iters left: 6 (52 enodes)
357.437 * * [simplify]: iters left: 5 (272 enodes)
357.549 * * [simplify]: Extracting #0: cost 1 inf + 0
357.549 * * [simplify]: Extracting #1: cost 30 inf + 0
357.549 * * [simplify]: Extracting #2: cost 59 inf + 1
357.550 * * [simplify]: Extracting #3: cost 68 inf + 44
357.551 * * [simplify]: Extracting #4: cost 101 inf + 45
357.551 * * [simplify]: Extracting #5: cost 234 inf + 662
357.553 * * [simplify]: Extracting #6: cost 317 inf + 4942
357.565 * * [simplify]: Extracting #7: cost 143 inf + 60781
357.594 * * [simplify]: Extracting #8: cost 58 inf + 94396
357.657 * * [simplify]: Extracting #9: cost 36 inf + 107366
357.720 * * [simplify]: Extracting #10: cost 10 inf + 133348
357.787 * * [simplify]: Extracting #11: cost 0 inf + 146846
357.860 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 2) (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* U (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)))))))))
357.860 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 2) (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* U (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
357.862 * * * * [progress]: [ 153 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
357.862 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
357.863 * * [simplify]: iters left: 6 (45 enodes)
357.893 * * [simplify]: iters left: 5 (229 enodes)
357.997 * * [simplify]: Extracting #0: cost 1 inf + 0
357.997 * * [simplify]: Extracting #1: cost 30 inf + 0
357.998 * * [simplify]: Extracting #2: cost 59 inf + 1
357.998 * * [simplify]: Extracting #3: cost 69 inf + 2
357.998 * * [simplify]: Extracting #4: cost 92 inf + 45
357.999 * * [simplify]: Extracting #5: cost 205 inf + 704
358.002 * * [simplify]: Extracting #6: cost 281 inf + 4227
358.022 * * [simplify]: Extracting #7: cost 118 inf + 55566
358.066 * * [simplify]: Extracting #8: cost 33 inf + 93433
358.124 * * [simplify]: Extracting #9: cost 11 inf + 111071
358.178 * * [simplify]: Extracting #10: cost 0 inf + 122393
358.249 * [simplify]: Simplified to (/ (* (* (cos (/ K 2)) (* J -2)) (sqrt (+ (* (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))) 1))) (* (sqrt (sqrt (+ (* (* J (* 2 (cos (/ K 2)))) (- 1 (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))))) (* (* U (/ U (* J (* 2 (cos (/ K 2)))))) (+ (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))))))) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (- 1 (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))))) (* U (* U (* (* U (/ U (* J (* 2 (cos (/ K 2)))))) (+ (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) 1)))))))))
358.249 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (cos (/ K 2)) (* J -2)) (sqrt (+ (* (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))) 1))) (* (sqrt (sqrt (+ (* (* J (* 2 (cos (/ K 2)))) (- 1 (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))))) (* (* U (/ U (* J (* 2 (cos (/ K 2)))))) (+ (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))))))) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (- 1 (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))))) (* U (* U (* (* U (/ U (* J (* 2 (cos (/ K 2)))))) (+ (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
358.251 * * * * [progress]: [ 154 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
358.251 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
358.252 * * [simplify]: iters left: 6 (53 enodes)
358.286 * * [simplify]: iters left: 5 (271 enodes)
358.395 * * [simplify]: Extracting #0: cost 1 inf + 0
358.395 * * [simplify]: Extracting #1: cost 30 inf + 0
358.395 * * [simplify]: Extracting #2: cost 59 inf + 1
358.395 * * [simplify]: Extracting #3: cost 68 inf + 44
358.396 * * [simplify]: Extracting #4: cost 102 inf + 45
358.397 * * [simplify]: Extracting #5: cost 235 inf + 662
358.400 * * [simplify]: Extracting #6: cost 325 inf + 3486
358.418 * * [simplify]: Extracting #7: cost 166 inf + 54523
358.463 * * [simplify]: Extracting #8: cost 58 inf + 101214
358.535 * * [simplify]: Extracting #9: cost 19 inf + 127633
358.618 * * [simplify]: Extracting #10: cost 8 inf + 139516
358.681 * * [simplify]: Extracting #11: cost 0 inf + 150761
358.745 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* U (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* U U) (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))))) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* 2 (* (cos (/ K 2)) J))) (* (+ (* (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* U (/ (/ (/ U 2) J) (cos (/ K 2)))))))))
358.745 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* U (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* U U) (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))))) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* 2 (* (cos (/ K 2)) J))) (* (+ (* (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* U (/ (/ (/ U 2) J) (cos (/ K 2))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
358.746 * * * * [progress]: [ 155 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
358.747 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
358.747 * * [simplify]: iters left: 6 (46 enodes)
358.761 * * [simplify]: iters left: 5 (228 enodes)
358.845 * * [simplify]: Extracting #0: cost 1 inf + 0
358.846 * * [simplify]: Extracting #1: cost 30 inf + 0
358.846 * * [simplify]: Extracting #2: cost 59 inf + 1
358.846 * * [simplify]: Extracting #3: cost 68 inf + 44
358.847 * * [simplify]: Extracting #4: cost 94 inf + 45
358.848 * * [simplify]: Extracting #5: cost 207 inf + 335
358.850 * * [simplify]: Extracting #6: cost 282 inf + 3677
358.870 * * [simplify]: Extracting #7: cost 127 inf + 54249
358.917 * * [simplify]: Extracting #8: cost 33 inf + 97883
358.974 * * [simplify]: Extracting #9: cost 21 inf + 106832
359.024 * * [simplify]: Extracting #10: cost 13 inf + 114197
359.076 * * [simplify]: Extracting #11: cost 0 inf + 129170
359.146 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* 2 (cos (/ K 2))) (* J (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))))) (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (* U (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* U (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1))))))))))
359.146 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* 2 (cos (/ K 2))) (* J (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))))) (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (* U (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* U (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1)))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
359.147 * * * * [progress]: [ 156 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3)))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
359.147 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3))))))
359.147 * * [simplify]: iters left: 6 (47 enodes)
359.164 * * [simplify]: iters left: 5 (235 enodes)
359.271 * * [simplify]: Extracting #0: cost 1 inf + 0
359.272 * * [simplify]: Extracting #1: cost 30 inf + 0
359.272 * * [simplify]: Extracting #2: cost 59 inf + 1
359.272 * * [simplify]: Extracting #3: cost 69 inf + 2
359.272 * * [simplify]: Extracting #4: cost 96 inf + 45
359.273 * * [simplify]: Extracting #5: cost 228 inf + 377
359.274 * * [simplify]: Extracting #6: cost 292 inf + 4062
359.284 * * [simplify]: Extracting #7: cost 124 inf + 56510
359.306 * * [simplify]: Extracting #8: cost 49 inf + 84369
359.341 * * [simplify]: Extracting #9: cost 22 inf + 107527
359.409 * * [simplify]: Extracting #10: cost 1 inf + 130106
359.460 * * [simplify]: Extracting #11: cost 0 inf + 131612
359.526 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (/ (* (cos (/ K 2)) J) (/ (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (+ (/ (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))))))) (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)))))
359.526 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (/ (* (cos (/ K 2)) J) (/ (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (+ (/ (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))))))) (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
359.528 * * * * [progress]: [ 157 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
359.529 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
359.530 * * [simplify]: iters left: 6 (46 enodes)
359.559 * * [simplify]: iters left: 5 (235 enodes)
359.672 * * [simplify]: Extracting #0: cost 1 inf + 0
359.672 * * [simplify]: Extracting #1: cost 30 inf + 0
359.672 * * [simplify]: Extracting #2: cost 59 inf + 1
359.672 * * [simplify]: Extracting #3: cost 69 inf + 2
359.673 * * [simplify]: Extracting #4: cost 99 inf + 45
359.673 * * [simplify]: Extracting #5: cost 216 inf + 478
359.675 * * [simplify]: Extracting #6: cost 268 inf + 5815
359.685 * * [simplify]: Extracting #7: cost 107 inf + 56292
359.714 * * [simplify]: Extracting #8: cost 36 inf + 85372
359.758 * * [simplify]: Extracting #9: cost 8 inf + 111443
359.797 * * [simplify]: Extracting #10: cost 0 inf + 119288
359.860 * [simplify]: Simplified to (/ (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (/ (/ (sqrt (sqrt (- (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (/ -2 (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* U (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* U U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1)))))))) (* (cos (/ K 2)) J)))
359.860 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (/ (/ (sqrt (sqrt (- (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (/ -2 (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* U (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* U U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1)))))))) (* (cos (/ K 2)) J))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
359.861 * * * * [progress]: [ 158 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
359.862 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
359.863 * * [simplify]: iters left: 6 (51 enodes)
359.895 * * [simplify]: iters left: 5 (264 enodes)
360.008 * * [simplify]: Extracting #0: cost 1 inf + 0
360.008 * * [simplify]: Extracting #1: cost 30 inf + 0
360.009 * * [simplify]: Extracting #2: cost 59 inf + 1
360.009 * * [simplify]: Extracting #3: cost 68 inf + 44
360.009 * * [simplify]: Extracting #4: cost 105 inf + 45
360.010 * * [simplify]: Extracting #5: cost 236 inf + 377
360.012 * * [simplify]: Extracting #6: cost 313 inf + 6333
360.028 * * [simplify]: Extracting #7: cost 136 inf + 67415
360.060 * * [simplify]: Extracting #8: cost 58 inf + 100801
360.111 * * [simplify]: Extracting #9: cost 23 inf + 127644
360.182 * * [simplify]: Extracting #10: cost 3 inf + 151236
360.259 * * [simplify]: Extracting #11: cost 0 inf + 155154
360.348 * [simplify]: Simplified to (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)))) (* (* (* U U) (* U U)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (cos (/ K 2))) J)) (* (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U (* U U))) (/ (/ U 2) (* (cos (/ K 2)) J)))))))
360.348 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)))) (* (* (* U U) (* U U)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (cos (/ K 2))) J)) (* (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U (* U U))) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
360.349 * * * * [progress]: [ 159 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
360.349 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
360.350 * * [simplify]: iters left: 6 (53 enodes)
360.370 * * [simplify]: iters left: 5 (273 enodes)
360.469 * * [simplify]: Extracting #0: cost 1 inf + 0
360.469 * * [simplify]: Extracting #1: cost 30 inf + 0
360.469 * * [simplify]: Extracting #2: cost 59 inf + 1
360.469 * * [simplify]: Extracting #3: cost 69 inf + 2
360.470 * * [simplify]: Extracting #4: cost 105 inf + 45
360.470 * * [simplify]: Extracting #5: cost 243 inf + 948
360.472 * * [simplify]: Extracting #6: cost 341 inf + 3648
360.480 * * [simplify]: Extracting #7: cost 207 inf + 45510
360.510 * * [simplify]: Extracting #8: cost 54 inf + 106409
360.555 * * [simplify]: Extracting #9: cost 37 inf + 116318
360.598 * * [simplify]: Extracting #10: cost 21 inf + 132804
360.652 * * [simplify]: Extracting #11: cost 7 inf + 149364
360.717 * * [simplify]: Extracting #12: cost 0 inf + 159783
360.803 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* U U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U U) (* U U)) (* (* (* U U) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))
360.803 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* U U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U U) (* U U)) (* (* (* U U) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
360.804 * * * * [progress]: [ 160 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
360.804 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
360.805 * * [simplify]: iters left: 6 (50 enodes)
360.827 * * [simplify]: iters left: 5 (243 enodes)
360.942 * * [simplify]: Extracting #0: cost 1 inf + 0
360.942 * * [simplify]: Extracting #1: cost 24 inf + 0
360.942 * * [simplify]: Extracting #2: cost 51 inf + 1
360.942 * * [simplify]: Extracting #3: cost 60 inf + 2
360.943 * * [simplify]: Extracting #4: cost 131 inf + 45
360.944 * * [simplify]: Extracting #5: cost 291 inf + 419
360.949 * * [simplify]: Extracting #6: cost 264 inf + 9201
360.966 * * [simplify]: Extracting #7: cost 134 inf + 49043
361.002 * * [simplify]: Extracting #8: cost 45 inf + 88482
361.027 * * [simplify]: Extracting #9: cost 28 inf + 98586
361.066 * * [simplify]: Extracting #10: cost 12 inf + 115474
361.109 * * [simplify]: Extracting #11: cost 3 inf + 125424
361.166 * * [simplify]: Extracting #12: cost 0 inf + 128822
361.238 * [simplify]: Simplified to (/ (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (/ (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* U (* U U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))))) (* (* (cos (/ K 2)) J) -2)))
361.238 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (/ (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* U (* U U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))))) (* (* (cos (/ K 2)) J) -2))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
361.239 * * * * [progress]: [ 161 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
361.239 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
361.239 * * [simplify]: iters left: 6 (53 enodes)
361.258 * * [simplify]: iters left: 5 (267 enodes)
361.345 * * [simplify]: Extracting #0: cost 1 inf + 0
361.345 * * [simplify]: Extracting #1: cost 30 inf + 0
361.345 * * [simplify]: Extracting #2: cost 59 inf + 1
361.345 * * [simplify]: Extracting #3: cost 69 inf + 2
361.346 * * [simplify]: Extracting #4: cost 112 inf + 45
361.347 * * [simplify]: Extracting #5: cost 277 inf + 704
361.348 * * [simplify]: Extracting #6: cost 337 inf + 5270
361.358 * * [simplify]: Extracting #7: cost 196 inf + 57889
361.411 * * [simplify]: Extracting #8: cost 49 inf + 121833
361.452 * * [simplify]: Extracting #9: cost 23 inf + 136688
361.507 * * [simplify]: Extracting #10: cost 18 inf + 140976
361.577 * * [simplify]: Extracting #11: cost 6 inf + 156044
361.649 * * [simplify]: Extracting #12: cost 0 inf + 164637
361.705 * * [simplify]: Extracting #13: cost 0 inf + 164157
361.768 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (+ (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (* (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* U (* U U))) (/ (/ U 2) (* (cos (/ K 2)) J)))))))
361.768 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (+ (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (* (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* U (* U U))) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
361.769 * * * * [progress]: [ 162 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
361.769 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
361.770 * * [simplify]: iters left: 6 (44 enodes)
361.784 * * [simplify]: iters left: 5 (222 enodes)
361.869 * * [simplify]: Extracting #0: cost 1 inf + 0
361.869 * * [simplify]: Extracting #1: cost 24 inf + 0
361.869 * * [simplify]: Extracting #2: cost 51 inf + 1
361.869 * * [simplify]: Extracting #3: cost 59 inf + 44
361.869 * * [simplify]: Extracting #4: cost 124 inf + 45
361.870 * * [simplify]: Extracting #5: cost 266 inf + 419
361.872 * * [simplify]: Extracting #6: cost 243 inf + 8081
361.882 * * [simplify]: Extracting #7: cost 97 inf + 53351
361.922 * * [simplify]: Extracting #8: cost 21 inf + 95177
361.969 * * [simplify]: Extracting #9: cost 0 inf + 114395
362.016 * * [simplify]: Extracting #10: cost 0 inf + 113675
362.078 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* U (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)))))))) -2)
362.078 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* U (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)))))))) -2) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
362.079 * * * * [progress]: [ 163 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
362.079 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
362.080 * * [simplify]: iters left: 6 (51 enodes)
362.098 * * [simplify]: iters left: 5 (262 enodes)
362.200 * * [simplify]: Extracting #0: cost 1 inf + 0
362.200 * * [simplify]: Extracting #1: cost 30 inf + 0
362.200 * * [simplify]: Extracting #2: cost 59 inf + 1
362.201 * * [simplify]: Extracting #3: cost 68 inf + 44
362.201 * * [simplify]: Extracting #4: cost 105 inf + 45
362.202 * * [simplify]: Extracting #5: cost 245 inf + 478
362.205 * * [simplify]: Extracting #6: cost 319 inf + 4874
362.215 * * [simplify]: Extracting #7: cost 166 inf + 54240
362.245 * * [simplify]: Extracting #8: cost 84 inf + 89544
362.302 * * [simplify]: Extracting #9: cost 21 inf + 128472
362.358 * * [simplify]: Extracting #10: cost 6 inf + 146097
362.423 * * [simplify]: Extracting #11: cost 0 inf + 155010
362.507 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (/ (* (* U U) (* U U)) (* (* 2 (cos (/ K 2))) J)) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)))))) (/ (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)))) (* (* U (* U U)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))))
362.507 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (/ (* (* U U) (* U U)) (* (* 2 (cos (/ K 2))) J)) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)))))) (/ (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)))) (* (* U (* U U)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
362.509 * * * * [progress]: [ 164 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
362.509 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
362.510 * * [simplify]: iters left: 6 (52 enodes)
362.529 * * [simplify]: iters left: 5 (259 enodes)
362.610 * * [simplify]: Extracting #0: cost 1 inf + 0
362.610 * * [simplify]: Extracting #1: cost 22 inf + 0
362.610 * * [simplify]: Extracting #2: cost 49 inf + 1
362.611 * * [simplify]: Extracting #3: cost 57 inf + 44
362.611 * * [simplify]: Extracting #4: cost 137 inf + 45
362.612 * * [simplify]: Extracting #5: cost 302 inf + 847
362.614 * * [simplify]: Extracting #6: cost 267 inf + 11512
362.628 * * [simplify]: Extracting #7: cost 130 inf + 59638
362.652 * * [simplify]: Extracting #8: cost 42 inf + 97643
362.700 * * [simplify]: Extracting #9: cost 22 inf + 109446
362.751 * * [simplify]: Extracting #10: cost 0 inf + 132971
362.818 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)) (* (cos (/ K 2)) J)) (sqrt (+ (* U (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1) (* U U)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)))))))) -2)
362.818 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)) (* (cos (/ K 2)) J)) (sqrt (+ (* U (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1) (* U U)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)))))))) -2) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
362.819 * * * * [progress]: [ 165 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
362.820 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
362.820 * * [simplify]: iters left: 6 (54 enodes)
362.838 * * [simplify]: iters left: 5 (271 enodes)
362.945 * * [simplify]: Extracting #0: cost 1 inf + 0
362.945 * * [simplify]: Extracting #1: cost 30 inf + 0
362.946 * * [simplify]: Extracting #2: cost 59 inf + 1
362.946 * * [simplify]: Extracting #3: cost 69 inf + 2
362.947 * * [simplify]: Extracting #4: cost 109 inf + 45
362.952 * * [simplify]: Extracting #5: cost 288 inf + 437
362.956 * * [simplify]: Extracting #6: cost 338 inf + 6877
362.975 * * [simplify]: Extracting #7: cost 199 inf + 54508
363.023 * * [simplify]: Extracting #8: cost 54 inf + 118569
363.084 * * [simplify]: Extracting #9: cost 25 inf + 138606
363.158 * * [simplify]: Extracting #10: cost 3 inf + 165173
363.262 * * [simplify]: Extracting #11: cost 0 inf + 169850
363.351 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (sqrt (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* U (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* U (+ (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (+ (/ (* (* U U) (* U U)) (* (* 2 J) (cos (/ K 2)))) (* (* (/ (* (* U U) (* U U)) (* (* 2 J) (cos (/ K 2)))) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))
363.351 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (sqrt (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* U (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* U (+ (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (+ (/ (* (* U U) (* U U)) (* (* 2 J) (cos (/ K 2)))) (* (* (/ (* (* U U) (* U U)) (* (* 2 J) (cos (/ K 2)))) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
363.352 * * * * [progress]: [ 166 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
363.352 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
363.353 * * [simplify]: iters left: 6 (51 enodes)
363.370 * * [simplify]: iters left: 5 (261 enodes)
363.463 * * [simplify]: Extracting #0: cost 1 inf + 0
363.463 * * [simplify]: Extracting #1: cost 30 inf + 0
363.463 * * [simplify]: Extracting #2: cost 59 inf + 1
363.464 * * [simplify]: Extracting #3: cost 68 inf + 44
363.464 * * [simplify]: Extracting #4: cost 105 inf + 45
363.464 * * [simplify]: Extracting #5: cost 235 inf + 561
363.466 * * [simplify]: Extracting #6: cost 314 inf + 4930
363.482 * * [simplify]: Extracting #7: cost 133 inf + 67120
363.521 * * [simplify]: Extracting #8: cost 44 inf + 106570
363.568 * * [simplify]: Extracting #9: cost 22 inf + 126765
363.662 * * [simplify]: Extracting #10: cost 5 inf + 146762
363.734 * * [simplify]: Extracting #11: cost 0 inf + 153729
363.838 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* U (* U U))) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* U U)))))))
363.838 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* U (* U U))) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* U U))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
363.840 * * * * [progress]: [ 167 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
363.841 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
363.842 * * [simplify]: iters left: 6 (53 enodes)
363.859 * * [simplify]: iters left: 5 (271 enodes)
363.955 * * [simplify]: Extracting #0: cost 1 inf + 0
363.955 * * [simplify]: Extracting #1: cost 30 inf + 0
363.956 * * [simplify]: Extracting #2: cost 59 inf + 1
363.956 * * [simplify]: Extracting #3: cost 68 inf + 44
363.956 * * [simplify]: Extracting #4: cost 102 inf + 45
363.958 * * [simplify]: Extracting #5: cost 238 inf + 621
363.960 * * [simplify]: Extracting #6: cost 327 inf + 4095
363.987 * * [simplify]: Extracting #7: cost 150 inf + 64207
364.034 * * [simplify]: Extracting #8: cost 53 inf + 104797
364.095 * * [simplify]: Extracting #9: cost 30 inf + 120131
364.157 * * [simplify]: Extracting #10: cost 9 inf + 142708
364.233 * * [simplify]: Extracting #11: cost 0 inf + 155259
364.300 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))) (* U U)))))) (sqrt (sqrt (+ (* (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* U (+ 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))
364.300 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))) (* U U)))))) (sqrt (sqrt (+ (* (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* U (+ 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
364.301 * * * * [progress]: [ 168 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
364.302 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
364.302 * * [simplify]: iters left: 6 (51 enodes)
364.319 * * [simplify]: iters left: 5 (258 enodes)
364.398 * * [simplify]: Extracting #0: cost 1 inf + 0
364.399 * * [simplify]: Extracting #1: cost 30 inf + 0
364.399 * * [simplify]: Extracting #2: cost 59 inf + 1
364.399 * * [simplify]: Extracting #3: cost 68 inf + 44
364.399 * * [simplify]: Extracting #4: cost 105 inf + 45
364.400 * * [simplify]: Extracting #5: cost 231 inf + 622
364.401 * * [simplify]: Extracting #6: cost 296 inf + 5352
364.410 * * [simplify]: Extracting #7: cost 155 inf + 50343
364.438 * * [simplify]: Extracting #8: cost 53 inf + 99427
364.488 * * [simplify]: Extracting #9: cost 21 inf + 122710
364.551 * * [simplify]: Extracting #10: cost 4 inf + 142146
364.625 * * [simplify]: Extracting #11: cost 0 inf + 148167
364.714 * [simplify]: Simplified to (/ (sqrt (+ (* (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (/ (/ U (cos (/ K 2))) J) 2))) 1)) (/ (/ (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (/ (/ U (cos (/ K 2))) J) 2))))) (+ (* (* (* (* U (/ (/ (/ U (cos (/ K 2))) J) 2)) (* U (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (+ 1 (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)))) (* (* U (/ (/ (/ U (cos (/ K 2))) J) 2)) (* U (/ (/ (/ U (cos (/ K 2))) J) 2))))))) (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (- 1 (* (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (/ (/ U (cos (/ K 2))) J) 2))))) (* (* (+ (+ (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) 1) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) U) (* (* U (/ (/ (/ U (cos (/ K 2))) J) 2)) U))))))) (* (cos (/ K 2)) J)))
364.714 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ (* (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (/ (/ U (cos (/ K 2))) J) 2))) 1)) (/ (/ (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (/ (/ U (cos (/ K 2))) J) 2))))) (+ (* (* (* (* U (/ (/ (/ U (cos (/ K 2))) J) 2)) (* U (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (+ 1 (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)))) (* (* U (/ (/ (/ U (cos (/ K 2))) J) 2)) (* U (/ (/ (/ U (cos (/ K 2))) J) 2))))))) (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (- 1 (* (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (/ (/ U (cos (/ K 2))) J) 2))))) (* (* (+ (+ (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) 1) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) U) (* (* U (/ (/ (/ U (cos (/ K 2))) J) 2)) U))))))) (* (cos (/ K 2)) J))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
364.716 * * * * [progress]: [ 169 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
364.717 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
364.718 * * [simplify]: iters left: 6 (53 enodes)
364.750 * * [simplify]: iters left: 5 (269 enodes)
364.857 * * [simplify]: Extracting #0: cost 1 inf + 0
364.857 * * [simplify]: Extracting #1: cost 30 inf + 0
364.857 * * [simplify]: Extracting #2: cost 59 inf + 1
364.858 * * [simplify]: Extracting #3: cost 69 inf + 2
364.858 * * [simplify]: Extracting #4: cost 105 inf + 45
364.859 * * [simplify]: Extracting #5: cost 241 inf + 519
364.862 * * [simplify]: Extracting #6: cost 323 inf + 3518
364.880 * * [simplify]: Extracting #7: cost 183 inf + 48888
364.916 * * [simplify]: Extracting #8: cost 85 inf + 87879
364.971 * * [simplify]: Extracting #9: cost 39 inf + 113141
365.052 * * [simplify]: Extracting #10: cost 5 inf + 149926
365.130 * * [simplify]: Extracting #11: cost 0 inf + 156814
365.223 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (+ (/ (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* U (* U U))) (/ (/ U (cos (/ K 2))) (* 2 J)))))))
365.223 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (+ (/ (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* U (* U U))) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
365.224 * * * * [progress]: [ 170 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
365.225 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
365.225 * * [simplify]: iters left: 6 (51 enodes)
365.243 * * [simplify]: iters left: 5 (258 enodes)
365.333 * * [simplify]: Extracting #0: cost 1 inf + 0
365.333 * * [simplify]: Extracting #1: cost 24 inf + 0
365.333 * * [simplify]: Extracting #2: cost 51 inf + 1
365.334 * * [simplify]: Extracting #3: cost 59 inf + 44
365.334 * * [simplify]: Extracting #4: cost 138 inf + 45
365.335 * * [simplify]: Extracting #5: cost 309 inf + 848
365.337 * * [simplify]: Extracting #6: cost 282 inf + 10152
365.346 * * [simplify]: Extracting #7: cost 138 inf + 53406
365.384 * * [simplify]: Extracting #8: cost 36 inf + 102758
365.428 * * [simplify]: Extracting #9: cost 3 inf + 130830
365.500 * * [simplify]: Extracting #10: cost 0 inf + 133467
365.541 * * [simplify]: Extracting #11: cost 0 inf + 133347
365.595 * [simplify]: Simplified to (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1))) (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* J (* 2 (cos (/ K 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))))) (* (* (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) U) (* (* U (/ (/ U (* (cos (/ K 2)) J)) 2)) U)))))
365.595 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1))) (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* J (* 2 (cos (/ K 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))))) (* (* (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) U) (* (* U (/ (/ U (* (cos (/ K 2)) J)) 2)) U))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
365.597 * * * * [progress]: [ 171 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
365.597 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
365.598 * * [simplify]: iters left: 6 (53 enodes)
365.632 * * [simplify]: iters left: 5 (271 enodes)
365.761 * * [simplify]: Extracting #0: cost 1 inf + 0
365.761 * * [simplify]: Extracting #1: cost 30 inf + 0
365.761 * * [simplify]: Extracting #2: cost 59 inf + 1
365.761 * * [simplify]: Extracting #3: cost 69 inf + 2
365.762 * * [simplify]: Extracting #4: cost 109 inf + 45
365.763 * * [simplify]: Extracting #5: cost 288 inf + 764
365.767 * * [simplify]: Extracting #6: cost 347 inf + 5004
365.776 * * [simplify]: Extracting #7: cost 212 inf + 48140
365.826 * * [simplify]: Extracting #8: cost 51 inf + 113756
365.889 * * [simplify]: Extracting #9: cost 35 inf + 124835
365.943 * * [simplify]: Extracting #10: cost 20 inf + 140816
366.008 * * [simplify]: Extracting #11: cost 3 inf + 161493
366.099 * * [simplify]: Extracting #12: cost 0 inf + 166129
366.202 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)))))) -2)) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) U)) U)))))
366.202 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)))))) -2)) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) U)) U))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
366.204 * * * * [progress]: [ 172 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
366.204 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
366.205 * * [simplify]: iters left: 6 (51 enodes)
366.239 * * [simplify]: iters left: 5 (260 enodes)
366.366 * * [simplify]: Extracting #0: cost 1 inf + 0
366.366 * * [simplify]: Extracting #1: cost 30 inf + 0
366.366 * * [simplify]: Extracting #2: cost 59 inf + 1
366.367 * * [simplify]: Extracting #3: cost 69 inf + 2
366.367 * * [simplify]: Extracting #4: cost 105 inf + 45
366.368 * * [simplify]: Extracting #5: cost 232 inf + 580
366.371 * * [simplify]: Extracting #6: cost 307 inf + 4746
366.389 * * [simplify]: Extracting #7: cost 168 inf + 48823
366.428 * * [simplify]: Extracting #8: cost 59 inf + 92520
366.472 * * [simplify]: Extracting #9: cost 27 inf + 116761
366.529 * * [simplify]: Extracting #10: cost 3 inf + 145535
366.588 * * [simplify]: Extracting #11: cost 0 inf + 149251
366.659 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) 1)) (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (* (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* U (* U U))) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (+ (* (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* U (/ (/ U (* 2 (cos (/ K 2)))) J)) (* U (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* U (/ (/ U (* 2 (cos (/ K 2)))) J)) (* U (/ (/ U (* 2 (cos (/ K 2)))) J)))))))))
366.659 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) 1)) (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (* (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* U (* U U))) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (+ (* (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* U (/ (/ U (* 2 (cos (/ K 2)))) J)) (* U (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* U (/ (/ U (* 2 (cos (/ K 2)))) J)) (* U (/ (/ U (* 2 (cos (/ K 2)))) J))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
366.661 * * * * [progress]: [ 173 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
366.662 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
366.663 * * [simplify]: iters left: 6 (53 enodes)
366.696 * * [simplify]: iters left: 5 (270 enodes)
366.781 * * [simplify]: Extracting #0: cost 1 inf + 0
366.781 * * [simplify]: Extracting #1: cost 30 inf + 0
366.782 * * [simplify]: Extracting #2: cost 59 inf + 1
366.782 * * [simplify]: Extracting #3: cost 68 inf + 44
366.782 * * [simplify]: Extracting #4: cost 105 inf + 45
366.783 * * [simplify]: Extracting #5: cost 243 inf + 519
366.785 * * [simplify]: Extracting #6: cost 326 inf + 4923
366.797 * * [simplify]: Extracting #7: cost 186 inf + 50121
366.826 * * [simplify]: Extracting #8: cost 94 inf + 84330
366.882 * * [simplify]: Extracting #9: cost 39 inf + 111692
366.926 * * [simplify]: Extracting #10: cost 23 inf + 127097
366.986 * * [simplify]: Extracting #11: cost 19 inf + 131279
367.068 * * [simplify]: Extracting #12: cost 7 inf + 145027
367.153 * * [simplify]: Extracting #13: cost 0 inf + 154646
367.228 * [simplify]: Simplified to (/ (/ -2 (/ (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (* U (* U (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)))))))) (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)))) (sqrt (sqrt (+ (* U (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))))))))
367.229 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ -2 (/ (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (* U (* U (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)))))))) (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)))) (sqrt (sqrt (+ (* U (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
367.230 * * * * [progress]: [ 174 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
367.231 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
367.232 * * [simplify]: iters left: 6 (50 enodes)
367.265 * * [simplify]: iters left: 5 (259 enodes)
367.367 * * [simplify]: Extracting #0: cost 1 inf + 0
367.367 * * [simplify]: Extracting #1: cost 30 inf + 0
367.367 * * [simplify]: Extracting #2: cost 59 inf + 1
367.368 * * [simplify]: Extracting #3: cost 69 inf + 2
367.368 * * [simplify]: Extracting #4: cost 105 inf + 45
367.369 * * [simplify]: Extracting #5: cost 241 inf + 580
367.370 * * [simplify]: Extracting #6: cost 311 inf + 6109
367.380 * * [simplify]: Extracting #7: cost 170 inf + 52971
367.413 * * [simplify]: Extracting #8: cost 81 inf + 90510
367.445 * * [simplify]: Extracting #9: cost 36 inf + 115056
367.515 * * [simplify]: Extracting #10: cost 24 inf + 127320
367.586 * * [simplify]: Extracting #11: cost 2 inf + 154362
367.686 * * [simplify]: Extracting #12: cost 0 inf + 156894
367.774 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)) (* J (* (cos (/ K 2)) -2))) (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1) (* U U)) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1) (* U (* U U))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))
367.774 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)) (* J (* (cos (/ K 2)) -2))) (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1) (* U U)) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1) (* U (* U U))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
367.775 * * * * [progress]: [ 175 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
367.776 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
367.776 * * [simplify]: iters left: 6 (52 enodes)
367.793 * * [simplify]: iters left: 5 (270 enodes)
367.870 * * [simplify]: Extracting #0: cost 1 inf + 0
367.870 * * [simplify]: Extracting #1: cost 30 inf + 0
367.871 * * [simplify]: Extracting #2: cost 59 inf + 1
367.871 * * [simplify]: Extracting #3: cost 69 inf + 2
367.871 * * [simplify]: Extracting #4: cost 105 inf + 45
367.872 * * [simplify]: Extracting #5: cost 251 inf + 805
367.873 * * [simplify]: Extracting #6: cost 349 inf + 3556
367.879 * * [simplify]: Extracting #7: cost 241 inf + 32934
367.894 * * [simplify]: Extracting #8: cost 103 inf + 85276
367.930 * * [simplify]: Extracting #9: cost 37 inf + 116614
368.009 * * [simplify]: Extracting #10: cost 7 inf + 144895
368.100 * * [simplify]: Extracting #11: cost 0 inf + 150738
368.191 * * [simplify]: Extracting #12: cost 0 inf + 150356
368.256 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (* U U) (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (* (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J))) (+ (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1))))))
368.256 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (* U U) (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (* (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J))) (+ (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
368.258 * * * * [progress]: [ 176 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
368.259 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
368.260 * * [simplify]: iters left: 6 (50 enodes)
368.292 * * [simplify]: iters left: 5 (261 enodes)
368.396 * * [simplify]: Extracting #0: cost 1 inf + 0
368.396 * * [simplify]: Extracting #1: cost 30 inf + 0
368.397 * * [simplify]: Extracting #2: cost 59 inf + 1
368.397 * * [simplify]: Extracting #3: cost 68 inf + 44
368.397 * * [simplify]: Extracting #4: cost 105 inf + 45
368.399 * * [simplify]: Extracting #5: cost 240 inf + 520
368.402 * * [simplify]: Extracting #6: cost 316 inf + 4334
368.419 * * [simplify]: Extracting #7: cost 187 inf + 44558
368.456 * * [simplify]: Extracting #8: cost 88 inf + 83604
368.518 * * [simplify]: Extracting #9: cost 38 inf + 109560
368.590 * * [simplify]: Extracting #10: cost 14 inf + 134330
368.691 * * [simplify]: Extracting #11: cost 1 inf + 149824
368.770 * * [simplify]: Extracting #12: cost 0 inf + 151090
368.851 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (* U (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))))))) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* U U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)))))))))
368.851 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (* U (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))))))) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* U U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
368.853 * * * * [progress]: [ 177 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
368.854 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
368.855 * * [simplify]: iters left: 6 (52 enodes)
368.874 * * [simplify]: iters left: 5 (271 enodes)
369.001 * * [simplify]: Extracting #0: cost 1 inf + 0
369.001 * * [simplify]: Extracting #1: cost 30 inf + 0
369.001 * * [simplify]: Extracting #2: cost 59 inf + 1
369.001 * * [simplify]: Extracting #3: cost 69 inf + 2
369.002 * * [simplify]: Extracting #4: cost 102 inf + 45
369.002 * * [simplify]: Extracting #5: cost 245 inf + 621
369.004 * * [simplify]: Extracting #6: cost 325 inf + 4938
369.011 * * [simplify]: Extracting #7: cost 192 inf + 45817
369.030 * * [simplify]: Extracting #8: cost 93 inf + 88411
369.096 * * [simplify]: Extracting #9: cost 24 inf + 130886
369.168 * * [simplify]: Extracting #10: cost 19 inf + 129855
369.239 * * [simplify]: Extracting #11: cost 9 inf + 138700
369.293 * * [simplify]: Extracting #12: cost 0 inf + 150411
369.362 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* U U) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) U) (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) U))))))
369.362 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* U U) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) U) (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) U)))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
369.364 * * * * [progress]: [ 178 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
369.364 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
369.365 * * [simplify]: iters left: 6 (51 enodes)
369.397 * * [simplify]: iters left: 5 (260 enodes)
369.501 * * [simplify]: Extracting #0: cost 1 inf + 0
369.501 * * [simplify]: Extracting #1: cost 30 inf + 0
369.502 * * [simplify]: Extracting #2: cost 59 inf + 1
369.502 * * [simplify]: Extracting #3: cost 68 inf + 44
369.502 * * [simplify]: Extracting #4: cost 102 inf + 45
369.503 * * [simplify]: Extracting #5: cost 238 inf + 580
369.507 * * [simplify]: Extracting #6: cost 321 inf + 5926
369.527 * * [simplify]: Extracting #7: cost 176 inf + 54315
369.578 * * [simplify]: Extracting #8: cost 73 inf + 98528
369.634 * * [simplify]: Extracting #9: cost 19 inf + 134547
369.735 * * [simplify]: Extracting #10: cost 4 inf + 150128
369.844 * * [simplify]: Extracting #11: cost 0 inf + 155632
369.952 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (* (sqrt (sqrt (+ (* (* (* 2 (cos (/ K 2))) J) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) U))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* 2 (cos (/ K 2))) J)) (* (* (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* U (* U U))) (/ (/ U (* 2 (cos (/ K 2)))) J))))))) -2)
369.952 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (* (sqrt (sqrt (+ (* (* (* 2 (cos (/ K 2))) J) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) U))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* 2 (cos (/ K 2))) J)) (* (* (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* U (* U U))) (/ (/ U (* 2 (cos (/ K 2)))) J))))))) -2) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
369.953 * * * * [progress]: [ 179 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
369.953 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
369.954 * * [simplify]: iters left: 6 (53 enodes)
369.970 * * [simplify]: iters left: 5 (270 enodes)
370.043 * * [simplify]: Extracting #0: cost 1 inf + 0
370.043 * * [simplify]: Extracting #1: cost 30 inf + 0
370.044 * * [simplify]: Extracting #2: cost 59 inf + 1
370.044 * * [simplify]: Extracting #3: cost 69 inf + 2
370.044 * * [simplify]: Extracting #4: cost 100 inf + 45
370.045 * * [simplify]: Extracting #5: cost 240 inf + 846
370.046 * * [simplify]: Extracting #6: cost 325 inf + 4431
370.059 * * [simplify]: Extracting #7: cost 175 inf + 52106
370.108 * * [simplify]: Extracting #8: cost 69 inf + 98038
370.140 * * [simplify]: Extracting #9: cost 37 inf + 113112
370.206 * * [simplify]: Extracting #10: cost 23 inf + 127906
370.266 * * [simplify]: Extracting #11: cost 20 inf + 127942
370.315 * * [simplify]: Extracting #12: cost 7 inf + 141835
370.380 * * [simplify]: Extracting #13: cost 0 inf + 152335
370.448 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* U (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1))) (* U U)))))) -2) (sqrt (sqrt (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)))) (* (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* 2 (cos (/ K 2)))) J)))))
370.448 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* U (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1))) (* U U)))))) -2) (sqrt (sqrt (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)))) (* (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* 2 (cos (/ K 2)))) J))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
370.449 * * * * [progress]: [ 180 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
370.449 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
370.450 * * [simplify]: iters left: 6 (50 enodes)
370.467 * * [simplify]: iters left: 5 (259 enodes)
370.557 * * [simplify]: Extracting #0: cost 1 inf + 0
370.557 * * [simplify]: Extracting #1: cost 30 inf + 0
370.557 * * [simplify]: Extracting #2: cost 59 inf + 1
370.557 * * [simplify]: Extracting #3: cost 69 inf + 2
370.557 * * [simplify]: Extracting #4: cost 102 inf + 45
370.558 * * [simplify]: Extracting #5: cost 235 inf + 622
370.560 * * [simplify]: Extracting #6: cost 318 inf + 6322
370.570 * * [simplify]: Extracting #7: cost 151 inf + 69448
370.606 * * [simplify]: Extracting #8: cost 58 inf + 117722
370.675 * * [simplify]: Extracting #9: cost 17 inf + 141057
370.736 * * [simplify]: Extracting #10: cost 4 inf + 151312
370.820 * * [simplify]: Extracting #11: cost 0 inf + 156776
370.896 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* 2 (cos (/ K 2))) J) (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* U (/ (/ (/ U 2) J) (cos (/ K 2))))) (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)))))) (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* U (* U U)) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)))))))
370.896 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* 2 (cos (/ K 2))) J) (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* U (/ (/ (/ U 2) J) (cos (/ K 2))))) (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)))))) (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* U (* U U)) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
370.898 * * * * [progress]: [ 181 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
370.899 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
370.900 * * [simplify]: iters left: 6 (52 enodes)
370.932 * * [simplify]: iters left: 5 (270 enodes)
371.022 * * [simplify]: Extracting #0: cost 1 inf + 0
371.022 * * [simplify]: Extracting #1: cost 30 inf + 0
371.022 * * [simplify]: Extracting #2: cost 59 inf + 1
371.022 * * [simplify]: Extracting #3: cost 69 inf + 2
371.023 * * [simplify]: Extracting #4: cost 101 inf + 45
371.024 * * [simplify]: Extracting #5: cost 246 inf + 519
371.028 * * [simplify]: Extracting #6: cost 320 inf + 5875
371.040 * * [simplify]: Extracting #7: cost 174 inf + 51195
371.061 * * [simplify]: Extracting #8: cost 83 inf + 89157
371.109 * * [simplify]: Extracting #9: cost 33 inf + 113312
371.175 * * [simplify]: Extracting #10: cost 7 inf + 142697
371.238 * * [simplify]: Extracting #11: cost 0 inf + 151396
371.304 * * [simplify]: Extracting #12: cost 0 inf + 150796
371.388 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* 2 (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* U (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* U (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* U (* U U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))
371.388 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* 2 (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* U (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* U (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* U (* U U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
371.389 * * * * [progress]: [ 182 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
371.390 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
371.391 * * [simplify]: iters left: 6 (50 enodes)
371.424 * * [simplify]: iters left: 5 (261 enodes)
371.531 * * [simplify]: Extracting #0: cost 1 inf + 0
371.531 * * [simplify]: Extracting #1: cost 30 inf + 0
371.531 * * [simplify]: Extracting #2: cost 59 inf + 1
371.531 * * [simplify]: Extracting #3: cost 69 inf + 2
371.531 * * [simplify]: Extracting #4: cost 106 inf + 45
371.532 * * [simplify]: Extracting #5: cost 243 inf + 335
371.534 * * [simplify]: Extracting #6: cost 324 inf + 6147
371.544 * * [simplify]: Extracting #7: cost 180 inf + 54568
371.568 * * [simplify]: Extracting #8: cost 71 inf + 98449
371.619 * * [simplify]: Extracting #9: cost 42 inf + 114353
371.705 * * [simplify]: Extracting #10: cost 17 inf + 141508
371.783 * * [simplify]: Extracting #11: cost 3 inf + 158235
371.885 * * [simplify]: Extracting #12: cost 0 inf + 162406
371.981 * * [simplify]: Extracting #13: cost 0 inf + 162289
372.043 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* U (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))))))))) (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (* U U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))
372.043 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* U (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))))))))) (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (* U U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
372.045 * * * * [progress]: [ 183 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
372.046 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
372.046 * * [simplify]: iters left: 6 (52 enodes)
372.079 * * [simplify]: iters left: 5 (271 enodes)
372.167 * * [simplify]: Extracting #0: cost 1 inf + 0
372.167 * * [simplify]: Extracting #1: cost 30 inf + 0
372.167 * * [simplify]: Extracting #2: cost 59 inf + 1
372.168 * * [simplify]: Extracting #3: cost 69 inf + 2
372.168 * * [simplify]: Extracting #4: cost 105 inf + 45
372.169 * * [simplify]: Extracting #5: cost 248 inf + 764
372.170 * * [simplify]: Extracting #6: cost 334 inf + 3434
372.187 * * [simplify]: Extracting #7: cost 178 inf + 53003
372.221 * * [simplify]: Extracting #8: cost 94 inf + 88333
372.265 * * [simplify]: Extracting #9: cost 30 inf + 121391
372.316 * * [simplify]: Extracting #10: cost 3 inf + 149272
372.390 * * [simplify]: Extracting #11: cost 0 inf + 147542
372.480 * * [simplify]: Extracting #12: cost 0 inf + 146749
372.570 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* U U))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1) (* U (* U U))) (/ U (* 2 (* (cos (/ K 2)) J))))))))
372.570 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* U U))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1) (* U (* U U))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
372.572 * * * * [progress]: [ 184 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
372.573 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
372.574 * * [simplify]: iters left: 6 (51 enodes)
372.606 * * [simplify]: iters left: 5 (260 enodes)
372.711 * * [simplify]: Extracting #0: cost 1 inf + 0
372.711 * * [simplify]: Extracting #1: cost 30 inf + 0
372.716 * * [simplify]: Extracting #2: cost 59 inf + 1
372.716 * * [simplify]: Extracting #3: cost 69 inf + 2
372.717 * * [simplify]: Extracting #4: cost 106 inf + 45
372.718 * * [simplify]: Extracting #5: cost 239 inf + 478
372.721 * * [simplify]: Extracting #6: cost 331 inf + 4177
372.739 * * [simplify]: Extracting #7: cost 183 inf + 51815
372.764 * * [simplify]: Extracting #8: cost 83 inf + 94856
372.824 * * [simplify]: Extracting #9: cost 21 inf + 132940
372.895 * * [simplify]: Extracting #10: cost 9 inf + 146126
372.980 * * [simplify]: Extracting #11: cost 0 inf + 159117
373.064 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* J (* 2 (cos (/ K 2))))) (+ (* (* (* (* U U) (/ (* U U) (* J (* 2 (cos (/ K 2)))))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* U U) (/ (* U U) (* J (* 2 (cos (/ K 2))))))))))) -2) (sqrt (sqrt (+ (* (* 2 (cos (/ K 2))) (* J (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) U)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) U)))))))
373.064 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* J (* 2 (cos (/ K 2))))) (+ (* (* (* (* U U) (/ (* U U) (* J (* 2 (cos (/ K 2)))))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* U U) (/ (* U U) (* J (* 2 (cos (/ K 2))))))))))) -2) (sqrt (sqrt (+ (* (* 2 (cos (/ K 2))) (* J (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) U)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) U))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
373.066 * * * * [progress]: [ 185 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
373.067 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
373.068 * * [simplify]: iters left: 6 (53 enodes)
373.101 * * [simplify]: iters left: 5 (270 enodes)
373.236 * * [simplify]: Extracting #0: cost 1 inf + 0
373.236 * * [simplify]: Extracting #1: cost 30 inf + 0
373.236 * * [simplify]: Extracting #2: cost 59 inf + 1
373.236 * * [simplify]: Extracting #3: cost 68 inf + 44
373.237 * * [simplify]: Extracting #4: cost 105 inf + 45
373.237 * * [simplify]: Extracting #5: cost 244 inf + 519
373.239 * * [simplify]: Extracting #6: cost 314 inf + 5772
373.251 * * [simplify]: Extracting #7: cost 175 inf + 47487
373.284 * * [simplify]: Extracting #8: cost 67 inf + 94542
373.317 * * [simplify]: Extracting #9: cost 23 inf + 120553
373.379 * * [simplify]: Extracting #10: cost 17 inf + 126345
373.441 * * [simplify]: Extracting #11: cost 4 inf + 140598
373.501 * * [simplify]: Extracting #12: cost 0 inf + 145382
373.571 * * [simplify]: Extracting #13: cost 0 inf + 145222
373.653 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* U U)) (* U (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (sqrt (sqrt (+ (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J)) 2)))))
373.653 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* U U)) (* U (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (sqrt (sqrt (+ (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J)) 2))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
373.654 * * * * [progress]: [ 186 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
373.655 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
373.655 * * [simplify]: iters left: 6 (50 enodes)
373.671 * * [simplify]: iters left: 5 (260 enodes)
373.776 * * [simplify]: Extracting #0: cost 1 inf + 0
373.776 * * [simplify]: Extracting #1: cost 30 inf + 0
373.776 * * [simplify]: Extracting #2: cost 59 inf + 1
373.776 * * [simplify]: Extracting #3: cost 68 inf + 44
373.777 * * [simplify]: Extracting #4: cost 105 inf + 45
373.778 * * [simplify]: Extracting #5: cost 240 inf + 437
373.782 * * [simplify]: Extracting #6: cost 326 inf + 5157
373.800 * * [simplify]: Extracting #7: cost 183 inf + 50369
373.837 * * [simplify]: Extracting #8: cost 103 inf + 82559
373.875 * * [simplify]: Extracting #9: cost 46 inf + 110720
373.940 * * [simplify]: Extracting #10: cost 18 inf + 135625
374.012 * * [simplify]: Extracting #11: cost 4 inf + 151743
374.079 * * [simplify]: Extracting #12: cost 0 inf + 157207
374.153 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* 2 (cos (/ K 2))) J) (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))) (* (* (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* U (* U U))) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (sqrt (sqrt (+ (* (* (* 2 (cos (/ K 2))) J) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (* U (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1))))))
374.154 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* 2 (cos (/ K 2))) J) (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))) (* (* (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* U (* U U))) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (sqrt (sqrt (+ (* (* (* 2 (cos (/ K 2))) J) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (* U (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
374.155 * * * * [progress]: [ 187 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
374.155 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
374.156 * * [simplify]: iters left: 6 (52 enodes)
374.177 * * [simplify]: iters left: 5 (270 enodes)
374.295 * * [simplify]: Extracting #0: cost 1 inf + 0
374.295 * * [simplify]: Extracting #1: cost 30 inf + 0
374.295 * * [simplify]: Extracting #2: cost 59 inf + 1
374.295 * * [simplify]: Extracting #3: cost 69 inf + 2
374.296 * * [simplify]: Extracting #4: cost 104 inf + 45
374.296 * * [simplify]: Extracting #5: cost 244 inf + 519
374.298 * * [simplify]: Extracting #6: cost 311 inf + 5494
374.307 * * [simplify]: Extracting #7: cost 168 inf + 51495
374.342 * * [simplify]: Extracting #8: cost 76 inf + 88816
374.378 * * [simplify]: Extracting #9: cost 37 inf + 106658
374.447 * * [simplify]: Extracting #10: cost 20 inf + 123249
374.537 * * [simplify]: Extracting #11: cost 4 inf + 141098
374.604 * * [simplify]: Extracting #12: cost 0 inf + 146762
374.684 * [simplify]: Simplified to (/ (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (/ (* (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* U (* U U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* 2 (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (* (* (cos (/ K 2)) J) -2)))
374.684 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (/ (* (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* U (* U U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* 2 (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (* (* (cos (/ K 2)) J) -2))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
374.685 * * * * [progress]: [ 188 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3)))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
374.686 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3))))))
374.686 * * [simplify]: iters left: 6 (51 enodes)
374.703 * * [simplify]: iters left: 5 (259 enodes)
374.797 * * [simplify]: Extracting #0: cost 1 inf + 0
374.798 * * [simplify]: Extracting #1: cost 30 inf + 0
374.798 * * [simplify]: Extracting #2: cost 59 inf + 1
374.798 * * [simplify]: Extracting #3: cost 69 inf + 2
374.798 * * [simplify]: Extracting #4: cost 102 inf + 45
374.799 * * [simplify]: Extracting #5: cost 239 inf + 561
374.801 * * [simplify]: Extracting #6: cost 302 inf + 5197
374.808 * * [simplify]: Extracting #7: cost 184 inf + 46069
374.834 * * [simplify]: Extracting #8: cost 52 inf + 105143
374.899 * * [simplify]: Extracting #9: cost 21 inf + 126835
374.966 * * [simplify]: Extracting #10: cost 3 inf + 142239
375.030 * * [simplify]: Extracting #11: cost 0 inf + 143569
375.106 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (sqrt (+ (* (* (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* U (* U U))) (/ (/ U 2) (* (cos (/ K 2)) J))))))))
375.106 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (sqrt (+ (* (* (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* U (* U U))) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
375.107 * * * * [progress]: [ 189 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
375.108 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
375.108 * * [simplify]: iters left: 6 (51 enodes)
375.134 * * [simplify]: iters left: 5 (267 enodes)
375.275 * * [simplify]: Extracting #0: cost 1 inf + 0
375.276 * * [simplify]: Extracting #1: cost 30 inf + 0
375.276 * * [simplify]: Extracting #2: cost 59 inf + 1
375.276 * * [simplify]: Extracting #3: cost 69 inf + 2
375.277 * * [simplify]: Extracting #4: cost 100 inf + 45
375.278 * * [simplify]: Extracting #5: cost 233 inf + 519
375.281 * * [simplify]: Extracting #6: cost 287 inf + 5748
375.296 * * [simplify]: Extracting #7: cost 158 inf + 44925
375.327 * * [simplify]: Extracting #8: cost 41 inf + 100823
375.367 * * [simplify]: Extracting #9: cost 6 inf + 129748
375.444 * * [simplify]: Extracting #10: cost 0 inf + 137181
375.530 * * [simplify]: Extracting #11: cost 0 inf + 137021
375.590 * [simplify]: Simplified to (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))) (sqrt (sqrt (- (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* J (* 2 (cos (/ K 2))))) (* U (* (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) U) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (+ 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)))))))
375.590 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))) (sqrt (sqrt (- (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* J (* 2 (cos (/ K 2))))) (* U (* (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) U) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (+ 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
375.592 * * * * [progress]: [ 190 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
375.593 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
375.594 * * [simplify]: iters left: 6 (53 enodes)
375.629 * * [simplify]: iters left: 5 (275 enodes)
375.739 * * [simplify]: Extracting #0: cost 1 inf + 0
375.739 * * [simplify]: Extracting #1: cost 30 inf + 0
375.739 * * [simplify]: Extracting #2: cost 59 inf + 1
375.739 * * [simplify]: Extracting #3: cost 68 inf + 44
375.739 * * [simplify]: Extracting #4: cost 102 inf + 45
375.740 * * [simplify]: Extracting #5: cost 241 inf + 621
375.742 * * [simplify]: Extracting #6: cost 327 inf + 5050
375.753 * * [simplify]: Extracting #7: cost 148 inf + 64361
375.784 * * [simplify]: Extracting #8: cost 63 inf + 96883
375.838 * * [simplify]: Extracting #9: cost 35 inf + 113892
375.913 * * [simplify]: Extracting #10: cost 8 inf + 144020
375.977 * * [simplify]: Extracting #11: cost 0 inf + 156426
376.044 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (+ (/ (* (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))))))) (/ (* (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U U) (* U U)) (* (* (* U U) (* U U)) (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))))))))
376.044 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (+ (/ (* (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))))))) (/ (* (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U U) (* U U)) (* (* (* U U) (* U U)) (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
376.045 * * * * [progress]: [ 191 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
376.046 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
376.046 * * [simplify]: iters left: 6 (46 enodes)
376.065 * * [simplify]: iters left: 5 (233 enodes)
376.147 * * [simplify]: Extracting #0: cost 1 inf + 0
376.147 * * [simplify]: Extracting #1: cost 30 inf + 0
376.147 * * [simplify]: Extracting #2: cost 59 inf + 1
376.147 * * [simplify]: Extracting #3: cost 69 inf + 2
376.147 * * [simplify]: Extracting #4: cost 94 inf + 45
376.148 * * [simplify]: Extracting #5: cost 204 inf + 478
376.149 * * [simplify]: Extracting #6: cost 284 inf + 5786
376.169 * * [simplify]: Extracting #7: cost 106 inf + 63727
376.213 * * [simplify]: Extracting #8: cost 42 inf + 87896
376.251 * * [simplify]: Extracting #9: cost 23 inf + 106578
376.296 * * [simplify]: Extracting #10: cost 3 inf + 128209
376.357 * * [simplify]: Extracting #11: cost 0 inf + 132167
376.404 * [simplify]: Simplified to (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1))) (* (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* U (* U U))) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* U U) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* U U))))))))
376.404 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1))) (* (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* U (* U U))) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* U U) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* U U)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
376.405 * * * * [progress]: [ 192 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
376.405 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
376.405 * * [simplify]: iters left: 6 (53 enodes)
376.423 * * [simplify]: iters left: 5 (268 enodes)
376.540 * * [simplify]: Extracting #0: cost 1 inf + 0
376.540 * * [simplify]: Extracting #1: cost 30 inf + 0
376.540 * * [simplify]: Extracting #2: cost 59 inf + 1
376.540 * * [simplify]: Extracting #3: cost 69 inf + 2
376.541 * * [simplify]: Extracting #4: cost 109 inf + 45
376.542 * * [simplify]: Extracting #5: cost 276 inf + 764
376.545 * * [simplify]: Extracting #6: cost 342 inf + 3136
376.559 * * [simplify]: Extracting #7: cost 227 inf + 39564
376.596 * * [simplify]: Extracting #8: cost 73 inf + 103735
376.650 * * [simplify]: Extracting #9: cost 22 inf + 135937
376.712 * * [simplify]: Extracting #10: cost 6 inf + 154508
376.816 * * [simplify]: Extracting #11: cost 0 inf + 163021
376.895 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (* (* 2 J) (cos (/ K 2)))) (+ (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U U))) 1) (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U U))) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))) (sqrt (sqrt (+ (* (* (* 2 J) (cos (/ K 2))) (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* U (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U U)) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)))))))
376.895 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (* (* 2 J) (cos (/ K 2)))) (+ (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U U))) 1) (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U U))) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))) (sqrt (sqrt (+ (* (* (* 2 J) (cos (/ K 2))) (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* U (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U U)) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
376.896 * * * * [progress]: [ 193 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
376.897 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
376.897 * * [simplify]: iters left: 6 (45 enodes)
376.911 * * [simplify]: iters left: 5 (210 enodes)
376.967 * * [simplify]: Extracting #0: cost 1 inf + 0
376.967 * * [simplify]: Extracting #1: cost 24 inf + 0
376.967 * * [simplify]: Extracting #2: cost 51 inf + 1
376.967 * * [simplify]: Extracting #3: cost 59 inf + 44
376.968 * * [simplify]: Extracting #4: cost 118 inf + 45
376.969 * * [simplify]: Extracting #5: cost 258 inf + 745
376.976 * * [simplify]: Extracting #6: cost 220 inf + 10408
376.987 * * [simplify]: Extracting #7: cost 63 inf + 62268
377.010 * * [simplify]: Extracting #8: cost 36 inf + 72475
377.033 * * [simplify]: Extracting #9: cost 25 inf + 80953
377.065 * * [simplify]: Extracting #10: cost 8 inf + 97749
377.124 * * [simplify]: Extracting #11: cost 0 inf + 105993
377.181 * * [simplify]: Extracting #12: cost 0 inf + 105953
377.227 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* U (* U U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))))) -2))
377.227 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* U (* U U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))))) -2)) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
377.227 * * * * [progress]: [ 194 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
377.228 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
377.228 * * [simplify]: iters left: 6 (51 enodes)
377.245 * * [simplify]: iters left: 5 (264 enodes)
377.348 * * [simplify]: Extracting #0: cost 1 inf + 0
377.348 * * [simplify]: Extracting #1: cost 30 inf + 0
377.348 * * [simplify]: Extracting #2: cost 59 inf + 1
377.349 * * [simplify]: Extracting #3: cost 68 inf + 44
377.349 * * [simplify]: Extracting #4: cost 102 inf + 45
377.350 * * [simplify]: Extracting #5: cost 240 inf + 479
377.354 * * [simplify]: Extracting #6: cost 317 inf + 5114
377.382 * * [simplify]: Extracting #7: cost 131 inf + 72873
377.416 * * [simplify]: Extracting #8: cost 44 inf + 109997
377.484 * * [simplify]: Extracting #9: cost 21 inf + 128714
377.579 * * [simplify]: Extracting #10: cost 1 inf + 152146
377.648 * * [simplify]: Extracting #11: cost 0 inf + 153601
377.716 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) 1)) (* (cos (/ K 2)) J)) (* (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* 2 (cos (/ K 2))) J)) (* (* (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* U (* U U))) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* 2 (cos (/ K 2))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* U (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1))) (* U U))))))) -2)
377.716 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) 1)) (* (cos (/ K 2)) J)) (* (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* 2 (cos (/ K 2))) J)) (* (* (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* U (* U U))) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* 2 (cos (/ K 2))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* U (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1))) (* U U))))))) -2) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
377.717 * * * * [progress]: [ 195 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
377.718 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
377.718 * * [simplify]: iters left: 6 (39 enodes)
377.737 * * [simplify]: iters left: 5 (191 enodes)
377.828 * * [simplify]: Extracting #0: cost 1 inf + 0
377.828 * * [simplify]: Extracting #1: cost 24 inf + 0
377.829 * * [simplify]: Extracting #2: cost 51 inf + 1
377.829 * * [simplify]: Extracting #3: cost 60 inf + 2
377.829 * * [simplify]: Extracting #4: cost 114 inf + 45
377.831 * * [simplify]: Extracting #5: cost 251 inf + 704
377.835 * * [simplify]: Extracting #6: cost 218 inf + 8828
377.854 * * [simplify]: Extracting #7: cost 71 inf + 54583
377.879 * * [simplify]: Extracting #8: cost 25 inf + 76728
377.903 * * [simplify]: Extracting #9: cost 11 inf + 90062
377.956 * * [simplify]: Extracting #10: cost 1 inf + 99084
378.003 * * [simplify]: Extracting #11: cost 0 inf + 98971
378.044 * * [simplify]: Extracting #12: cost 0 inf + 98840
378.079 * [simplify]: Simplified to (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (* (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1))) (* U U)))) -2) (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1))))
378.079 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (* (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1))) (* U U)))) -2) (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
378.080 * * * * [progress]: [ 196 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
378.080 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
378.081 * * [simplify]: iters left: 6 (54 enodes)
378.106 * * [simplify]: iters left: 5 (273 enodes)
378.213 * * [simplify]: Extracting #0: cost 1 inf + 0
378.213 * * [simplify]: Extracting #1: cost 30 inf + 0
378.213 * * [simplify]: Extracting #2: cost 59 inf + 1
378.214 * * [simplify]: Extracting #3: cost 68 inf + 44
378.214 * * [simplify]: Extracting #4: cost 107 inf + 45
378.215 * * [simplify]: Extracting #5: cost 288 inf + 519
378.218 * * [simplify]: Extracting #6: cost 334 inf + 8277
378.228 * * [simplify]: Extracting #7: cost 197 inf + 50647
378.260 * * [simplify]: Extracting #8: cost 69 inf + 104846
378.322 * * [simplify]: Extracting #9: cost 23 inf + 138054
378.387 * * [simplify]: Extracting #10: cost 18 inf + 141532
378.456 * * [simplify]: Extracting #11: cost 2 inf + 161742
378.526 * * [simplify]: Extracting #12: cost 0 inf + 164674
378.619 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) (* U (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* U U) (* U (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (sqrt (sqrt (+ (* (* U U) (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))
378.619 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) (* U (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* U U) (* U (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (sqrt (sqrt (+ (* (* U U) (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
378.621 * * * * [progress]: [ 197 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
378.621 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
378.622 * * [simplify]: iters left: 6 (47 enodes)
378.646 * * [simplify]: iters left: 5 (230 enodes)
378.707 * * [simplify]: Extracting #0: cost 1 inf + 0
378.708 * * [simplify]: Extracting #1: cost 22 inf + 0
378.708 * * [simplify]: Extracting #2: cost 49 inf + 1
378.708 * * [simplify]: Extracting #3: cost 57 inf + 44
378.709 * * [simplify]: Extracting #4: cost 118 inf + 45
378.710 * * [simplify]: Extracting #5: cost 264 inf + 887
378.714 * * [simplify]: Extracting #6: cost 227 inf + 9420
378.736 * * [simplify]: Extracting #7: cost 65 inf + 62659
378.781 * * [simplify]: Extracting #8: cost 17 inf + 89250
378.835 * * [simplify]: Extracting #9: cost 0 inf + 105966
378.890 * [simplify]: Simplified to (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1))) (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (* U (* (/ (/ (/ U 2) J) (cos (/ K 2))) (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))))))
378.890 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1))) (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (* U (* (/ (/ (/ U 2) J) (cos (/ K 2))) (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
378.891 * * * * [progress]: [ 198 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
378.892 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
378.893 * * [simplify]: iters left: 6 (53 enodes)
378.925 * * [simplify]: iters left: 5 (272 enodes)
379.025 * * [simplify]: Extracting #0: cost 1 inf + 0
379.025 * * [simplify]: Extracting #1: cost 30 inf + 0
379.026 * * [simplify]: Extracting #2: cost 59 inf + 1
379.026 * * [simplify]: Extracting #3: cost 68 inf + 44
379.027 * * [simplify]: Extracting #4: cost 102 inf + 45
379.028 * * [simplify]: Extracting #5: cost 241 inf + 519
379.031 * * [simplify]: Extracting #6: cost 317 inf + 5892
379.056 * * [simplify]: Extracting #7: cost 166 inf + 52825
379.098 * * [simplify]: Extracting #8: cost 70 inf + 93585
379.142 * * [simplify]: Extracting #9: cost 20 inf + 125777
379.222 * * [simplify]: Extracting #10: cost 5 inf + 140709
379.317 * * [simplify]: Extracting #11: cost 0 inf + 146946
379.398 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (+ (* (* U (/ (/ U 2) (* (cos (/ K 2)) J))) (* U (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (* U (/ (/ U 2) (* (cos (/ K 2)) J))) (* U (/ (/ U 2) (* (cos (/ K 2)) J)))) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (* U U)) (* U (/ (/ U 2) (* (cos (/ K 2)) J))))))))
379.398 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (+ (* (* U (/ (/ U 2) (* (cos (/ K 2)) J))) (* U (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (* U (/ (/ U 2) (* (cos (/ K 2)) J))) (* U (/ (/ U 2) (* (cos (/ K 2)) J)))) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (* U U)) (* U (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
379.399 * * * * [progress]: [ 199 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
379.399 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
379.400 * * [simplify]: iters left: 6 (46 enodes)
379.414 * * [simplify]: iters left: 5 (229 enodes)
379.489 * * [simplify]: Extracting #0: cost 1 inf + 0
379.489 * * [simplify]: Extracting #1: cost 30 inf + 0
379.489 * * [simplify]: Extracting #2: cost 59 inf + 1
379.490 * * [simplify]: Extracting #3: cost 69 inf + 2
379.490 * * [simplify]: Extracting #4: cost 94 inf + 45
379.491 * * [simplify]: Extracting #5: cost 207 inf + 377
379.494 * * [simplify]: Extracting #6: cost 275 inf + 4894
379.515 * * [simplify]: Extracting #7: cost 102 inf + 61348
379.554 * * [simplify]: Extracting #8: cost 41 inf + 85780
379.608 * * [simplify]: Extracting #9: cost 14 inf + 111540
379.662 * * [simplify]: Extracting #10: cost 0 inf + 129460
379.713 * [simplify]: Simplified to (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))) (sqrt (sqrt (+ (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* U U)) (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (sqrt (sqrt (+ (* (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (+ (* (* U U) (/ (* U U) (* (* 2 (cos (/ K 2))) J))) (* (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (/ (* U U) (* (* 2 (cos (/ K 2))) J)))))))))
379.713 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))) (sqrt (sqrt (+ (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* U U)) (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (sqrt (sqrt (+ (* (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (+ (* (* U U) (/ (* U U) (* (* 2 (cos (/ K 2))) J))) (* (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (/ (* U U) (* (* 2 (cos (/ K 2))) J))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
379.715 * * * * [progress]: [ 200 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
379.716 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
379.716 * * [simplify]: iters left: 6 (53 enodes)
379.743 * * [simplify]: iters left: 5 (270 enodes)
379.825 * * [simplify]: Extracting #0: cost 1 inf + 0
379.825 * * [simplify]: Extracting #1: cost 30 inf + 0
379.826 * * [simplify]: Extracting #2: cost 59 inf + 1
379.826 * * [simplify]: Extracting #3: cost 69 inf + 2
379.826 * * [simplify]: Extracting #4: cost 102 inf + 45
379.827 * * [simplify]: Extracting #5: cost 237 inf + 704
379.828 * * [simplify]: Extracting #6: cost 314 inf + 5650
379.847 * * [simplify]: Extracting #7: cost 144 inf + 64749
379.874 * * [simplify]: Extracting #8: cost 54 inf + 105169
379.932 * * [simplify]: Extracting #9: cost 7 inf + 142842
379.996 * * [simplify]: Extracting #10: cost 0 inf + 150748
380.065 * * [simplify]: Extracting #11: cost 0 inf + 150617
380.135 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1))) (* U U)))))) (/ (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (+ (* (/ U (/ (* 2 (* (cos (/ K 2)) J)) U)) (/ U (/ (* 2 (* (cos (/ K 2)) J)) U))) (* (* (/ U (/ (* 2 (* (cos (/ K 2)) J)) U)) (/ U (/ (* 2 (* (cos (/ K 2)) J)) U))) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))))
380.135 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1))) (* U U)))))) (/ (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (+ (* (/ U (/ (* 2 (* (cos (/ K 2)) J)) U)) (/ U (/ (* 2 (* (cos (/ K 2)) J)) U))) (* (* (/ U (/ (* 2 (* (cos (/ K 2)) J)) U)) (/ U (/ (* 2 (* (cos (/ K 2)) J)) U))) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
380.136 * * * * [progress]: [ 201 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
380.136 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
380.137 * * [simplify]: iters left: 6 (46 enodes)
380.159 * * [simplify]: iters left: 5 (226 enodes)
380.248 * * [simplify]: Extracting #0: cost 1 inf + 0
380.248 * * [simplify]: Extracting #1: cost 30 inf + 0
380.249 * * [simplify]: Extracting #2: cost 59 inf + 1
380.249 * * [simplify]: Extracting #3: cost 69 inf + 2
380.249 * * [simplify]: Extracting #4: cost 94 inf + 45
380.250 * * [simplify]: Extracting #5: cost 202 inf + 479
380.251 * * [simplify]: Extracting #6: cost 270 inf + 4161
380.269 * * [simplify]: Extracting #7: cost 88 inf + 60208
380.296 * * [simplify]: Extracting #8: cost 20 inf + 99446
380.352 * * [simplify]: Extracting #9: cost 0 inf + 120999
380.411 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* U (* U (* (* U (/ (/ U 2) (* (cos (/ K 2)) J))) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))))))) (sqrt (sqrt (+ (+ (* (* U (/ (/ U 2) (* (cos (/ K 2)) J))) (* U (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))
380.411 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* U (* U (* (* U (/ (/ U 2) (* (cos (/ K 2)) J))) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))))))) (sqrt (sqrt (+ (+ (* (* U (/ (/ U 2) (* (cos (/ K 2)) J))) (* U (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
380.412 * * * * [progress]: [ 202 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
380.413 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
380.413 * * [simplify]: iters left: 6 (53 enodes)
380.430 * * [simplify]: iters left: 5 (273 enodes)
380.514 * * [simplify]: Extracting #0: cost 1 inf + 0
380.514 * * [simplify]: Extracting #1: cost 30 inf + 0
380.515 * * [simplify]: Extracting #2: cost 59 inf + 1
380.515 * * [simplify]: Extracting #3: cost 68 inf + 44
380.515 * * [simplify]: Extracting #4: cost 109 inf + 45
380.516 * * [simplify]: Extracting #5: cost 291 inf + 621
380.518 * * [simplify]: Extracting #6: cost 349 inf + 4886
380.534 * * [simplify]: Extracting #7: cost 204 inf + 51221
380.563 * * [simplify]: Extracting #8: cost 73 inf + 101400
380.598 * * [simplify]: Extracting #9: cost 37 inf + 123098
380.645 * * [simplify]: Extracting #10: cost 20 inf + 140250
380.731 * * [simplify]: Extracting #11: cost 4 inf + 160542
380.803 * * [simplify]: Extracting #12: cost 0 inf + 166003
380.870 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* U U)) (* U (/ (/ U (cos (/ K 2))) (* 2 J))))))) -2)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (* U U) (/ (/ U (cos (/ K 2))) (* 2 J))) U))))))
380.870 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* U U)) (* U (/ (/ U (cos (/ K 2))) (* 2 J))))))) -2)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (* U U) (/ (/ U (cos (/ K 2))) (* 2 J))) U)))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
380.872 * * * * [progress]: [ 203 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
380.873 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
380.873 * * [simplify]: iters left: 6 (46 enodes)
380.901 * * [simplify]: iters left: 5 (229 enodes)
380.980 * * [simplify]: Extracting #0: cost 1 inf + 0
380.980 * * [simplify]: Extracting #1: cost 24 inf + 0
380.981 * * [simplify]: Extracting #2: cost 51 inf + 1
380.981 * * [simplify]: Extracting #3: cost 59 inf + 44
380.981 * * [simplify]: Extracting #4: cost 126 inf + 45
380.983 * * [simplify]: Extracting #5: cost 279 inf + 806
380.987 * * [simplify]: Extracting #6: cost 240 inf + 10180
381.001 * * [simplify]: Extracting #7: cost 84 inf + 58735
381.021 * * [simplify]: Extracting #8: cost 28 inf + 83796
381.049 * * [simplify]: Extracting #9: cost 12 inf + 99324
381.094 * * [simplify]: Extracting #10: cost 0 inf + 111353
381.139 * * [simplify]: Extracting #11: cost 0 inf + 110873
381.186 * [simplify]: Simplified to (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))) (sqrt (+ (* (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* U (* U U)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1))))))
381.186 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))) (sqrt (+ (* (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* U (* U U)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1)))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
381.187 * * * * [progress]: [ 204 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
381.188 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
381.189 * * [simplify]: iters left: 6 (53 enodes)
381.221 * * [simplify]: iters left: 5 (271 enodes)
381.322 * * [simplify]: Extracting #0: cost 1 inf + 0
381.322 * * [simplify]: Extracting #1: cost 30 inf + 0
381.322 * * [simplify]: Extracting #2: cost 59 inf + 1
381.322 * * [simplify]: Extracting #3: cost 69 inf + 2
381.322 * * [simplify]: Extracting #4: cost 102 inf + 45
381.323 * * [simplify]: Extracting #5: cost 241 inf + 335
381.325 * * [simplify]: Extracting #6: cost 322 inf + 4699
381.340 * * [simplify]: Extracting #7: cost 152 inf + 60961
381.385 * * [simplify]: Extracting #8: cost 62 inf + 101484
381.426 * * [simplify]: Extracting #9: cost 23 inf + 127456
381.470 * * [simplify]: Extracting #10: cost 15 inf + 134556
381.550 * * [simplify]: Extracting #11: cost 2 inf + 150089
381.615 * * [simplify]: Extracting #12: cost 0 inf + 152901
381.689 * [simplify]: Simplified to (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))) (* (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* U U))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) U) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))
381.689 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))) (* (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* U U))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) U) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
381.690 * * * * [progress]: [ 205 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
381.690 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
381.691 * * [simplify]: iters left: 6 (46 enodes)
381.705 * * [simplify]: iters left: 5 (228 enodes)
381.806 * * [simplify]: Extracting #0: cost 1 inf + 0
381.806 * * [simplify]: Extracting #1: cost 30 inf + 0
381.806 * * [simplify]: Extracting #2: cost 59 inf + 1
381.807 * * [simplify]: Extracting #3: cost 69 inf + 2
381.807 * * [simplify]: Extracting #4: cost 94 inf + 45
381.808 * * [simplify]: Extracting #5: cost 203 inf + 377
381.811 * * [simplify]: Extracting #6: cost 275 inf + 3939
381.832 * * [simplify]: Extracting #7: cost 96 inf + 60905
381.876 * * [simplify]: Extracting #8: cost 28 inf + 96235
381.926 * * [simplify]: Extracting #9: cost 4 inf + 121608
381.998 * * [simplify]: Extracting #10: cost 0 inf + 125230
382.055 * * [simplify]: Extracting #11: cost 0 inf + 125070
382.094 * [simplify]: Simplified to (/ (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (/ (/ (sqrt (sqrt (+ (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) U) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) U)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* U (* U U))) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (* (cos (/ K 2)) J)))
382.094 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (/ (/ (sqrt (sqrt (+ (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) U) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) U)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* U (* U U))) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (* (cos (/ K 2)) J))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
382.095 * * * * [progress]: [ 206 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
382.096 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
382.096 * * [simplify]: iters left: 6 (52 enodes)
382.123 * * [simplify]: iters left: 5 (272 enodes)
382.210 * * [simplify]: Extracting #0: cost 1 inf + 0
382.210 * * [simplify]: Extracting #1: cost 30 inf + 0
382.211 * * [simplify]: Extracting #2: cost 59 inf + 1
382.211 * * [simplify]: Extracting #3: cost 69 inf + 2
382.211 * * [simplify]: Extracting #4: cost 102 inf + 45
382.212 * * [simplify]: Extracting #5: cost 247 inf + 621
382.216 * * [simplify]: Extracting #6: cost 344 inf + 4836
382.235 * * [simplify]: Extracting #7: cost 194 inf + 53563
382.284 * * [simplify]: Extracting #8: cost 52 inf + 109540
382.335 * * [simplify]: Extracting #9: cost 23 inf + 131978
382.395 * * [simplify]: Extracting #10: cost 20 inf + 133853
382.482 * * [simplify]: Extracting #11: cost 7 inf + 148867
382.580 * * [simplify]: Extracting #12: cost 0 inf + 159086
382.669 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) (* U (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* U (* U U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))))
382.669 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) (* U (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* U (* U U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
382.670 * * * * [progress]: [ 207 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
382.670 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
382.670 * * [simplify]: iters left: 6 (45 enodes)
382.684 * * [simplify]: iters left: 5 (228 enodes)
382.745 * * [simplify]: Extracting #0: cost 1 inf + 0
382.745 * * [simplify]: Extracting #1: cost 30 inf + 0
382.745 * * [simplify]: Extracting #2: cost 59 inf + 1
382.745 * * [simplify]: Extracting #3: cost 68 inf + 44
382.746 * * [simplify]: Extracting #4: cost 94 inf + 45
382.747 * * [simplify]: Extracting #5: cost 211 inf + 377
382.750 * * [simplify]: Extracting #6: cost 289 inf + 4346
382.774 * * [simplify]: Extracting #7: cost 96 inf + 63600
382.823 * * [simplify]: Extracting #8: cost 20 inf + 104453
382.871 * * [simplify]: Extracting #9: cost 1 inf + 123258
382.945 * * [simplify]: Extracting #10: cost 0 inf + 124324
382.996 * [simplify]: Simplified to (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (/ U (* J (* 2 (cos (/ K 2))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))) 1))) (* (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))))) (* (* (+ (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) 1) (* U U)) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))))) (sqrt (sqrt (+ (* (* J (* 2 (cos (/ K 2)))) (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))))) (* (* U (* U U)) (* (/ U (* J (* 2 (cos (/ K 2))))) (+ (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) 1))))))))
382.996 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (/ U (* J (* 2 (cos (/ K 2))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))) 1))) (* (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))))) (* (* (+ (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) 1) (* U U)) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))))) (sqrt (sqrt (+ (* (* J (* 2 (cos (/ K 2)))) (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))))) (* (* U (* U U)) (* (/ U (* J (* 2 (cos (/ K 2))))) (+ (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) 1)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
382.998 * * * * [progress]: [ 208 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
382.998 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
382.999 * * [simplify]: iters left: 6 (52 enodes)
383.032 * * [simplify]: iters left: 5 (273 enodes)
383.121 * * [simplify]: Extracting #0: cost 1 inf + 0
383.121 * * [simplify]: Extracting #1: cost 30 inf + 0
383.122 * * [simplify]: Extracting #2: cost 59 inf + 1
383.122 * * [simplify]: Extracting #3: cost 68 inf + 44
383.122 * * [simplify]: Extracting #4: cost 103 inf + 45
383.124 * * [simplify]: Extracting #5: cost 247 inf + 580
383.127 * * [simplify]: Extracting #6: cost 337 inf + 3210
383.140 * * [simplify]: Extracting #7: cost 180 inf + 53370
383.170 * * [simplify]: Extracting #8: cost 54 inf + 104912
383.209 * * [simplify]: Extracting #9: cost 24 inf + 127622
383.275 * * [simplify]: Extracting #10: cost 20 inf + 131363
383.356 * * [simplify]: Extracting #11: cost 9 inf + 144485
383.435 * * [simplify]: Extracting #12: cost 0 inf + 157756
383.496 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* U (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (+ (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))) (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))))))))
383.496 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* U (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (+ (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))) (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
383.497 * * * * [progress]: [ 209 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
383.497 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
383.498 * * [simplify]: iters left: 6 (45 enodes)
383.524 * * [simplify]: iters left: 5 (230 enodes)
383.641 * * [simplify]: Extracting #0: cost 1 inf + 0
383.641 * * [simplify]: Extracting #1: cost 30 inf + 0
383.642 * * [simplify]: Extracting #2: cost 59 inf + 1
383.642 * * [simplify]: Extracting #3: cost 69 inf + 2
383.643 * * [simplify]: Extracting #4: cost 94 inf + 45
383.644 * * [simplify]: Extracting #5: cost 210 inf + 335
383.646 * * [simplify]: Extracting #6: cost 287 inf + 3616
383.667 * * [simplify]: Extracting #7: cost 100 inf + 61240
383.698 * * [simplify]: Extracting #8: cost 18 inf + 104537
383.749 * * [simplify]: Extracting #9: cost 1 inf + 121935
383.825 * * [simplify]: Extracting #10: cost 0 inf + 123001
383.864 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) 1)) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (- 1 (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1) (* U U)))))) (sqrt (sqrt (+ (* (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2)))) (- 1 (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (+ (* (* U U) (/ (* U U) (* (* 2 J) (cos (/ K 2))))) (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (* U U) (/ (* U U) (* (* 2 J) (cos (/ K 2))))))))))))
383.864 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) 1)) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (- 1 (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1) (* U U)))))) (sqrt (sqrt (+ (* (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2)))) (- 1 (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (+ (* (* U U) (/ (* U U) (* (* 2 J) (cos (/ K 2))))) (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (* U U) (/ (* U U) (* (* 2 J) (cos (/ K 2)))))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
383.865 * * * * [progress]: [ 210 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
383.865 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
383.866 * * [simplify]: iters left: 6 (53 enodes)
383.898 * * [simplify]: iters left: 5 (271 enodes)
383.970 * * [simplify]: Extracting #0: cost 1 inf + 0
383.970 * * [simplify]: Extracting #1: cost 30 inf + 0
383.970 * * [simplify]: Extracting #2: cost 59 inf + 1
383.970 * * [simplify]: Extracting #3: cost 69 inf + 2
383.970 * * [simplify]: Extracting #4: cost 103 inf + 45
383.971 * * [simplify]: Extracting #5: cost 237 inf + 662
383.973 * * [simplify]: Extracting #6: cost 327 inf + 4883
383.984 * * [simplify]: Extracting #7: cost 152 inf + 61486
384.020 * * [simplify]: Extracting #8: cost 52 inf + 104163
384.083 * * [simplify]: Extracting #9: cost 23 inf + 126292
384.130 * * [simplify]: Extracting #10: cost 18 inf + 131459
384.216 * * [simplify]: Extracting #11: cost 7 inf + 143782
384.289 * * [simplify]: Extracting #12: cost 0 inf + 154121
384.374 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* U U)))))) -2) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))))) (cos (/ K 2))) (* 2 J)) (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) U) (* (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))))
384.374 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* U U)))))) -2) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))))) (cos (/ K 2))) (* 2 J)) (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) U) (* (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
384.375 * * * * [progress]: [ 211 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
384.375 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
384.376 * * [simplify]: iters left: 6 (46 enodes)
384.390 * * [simplify]: iters left: 5 (228 enodes)
384.476 * * [simplify]: Extracting #0: cost 1 inf + 0
384.476 * * [simplify]: Extracting #1: cost 30 inf + 0
384.476 * * [simplify]: Extracting #2: cost 59 inf + 1
384.477 * * [simplify]: Extracting #3: cost 69 inf + 2
384.477 * * [simplify]: Extracting #4: cost 94 inf + 45
384.478 * * [simplify]: Extracting #5: cost 214 inf + 520
384.481 * * [simplify]: Extracting #6: cost 287 inf + 4450
384.505 * * [simplify]: Extracting #7: cost 107 inf + 63945
384.550 * * [simplify]: Extracting #8: cost 25 inf + 103107
384.582 * * [simplify]: Extracting #9: cost 12 inf + 115239
384.647 * * [simplify]: Extracting #10: cost 1 inf + 126562
384.700 * * [simplify]: Extracting #11: cost 0 inf + 127748
384.752 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* U (* U U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)))))) (sqrt (sqrt (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) U)) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) U)) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))
384.752 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* U (* U U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)))))) (sqrt (sqrt (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) U)) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) U)) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
384.753 * * * * [progress]: [ 212 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
384.753 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
384.753 * * [simplify]: iters left: 6 (52 enodes)
384.770 * * [simplify]: iters left: 5 (272 enodes)
384.879 * * [simplify]: Extracting #0: cost 1 inf + 0
384.879 * * [simplify]: Extracting #1: cost 30 inf + 0
384.880 * * [simplify]: Extracting #2: cost 59 inf + 1
384.880 * * [simplify]: Extracting #3: cost 69 inf + 2
384.881 * * [simplify]: Extracting #4: cost 101 inf + 45
384.886 * * [simplify]: Extracting #5: cost 238 inf + 662
384.889 * * [simplify]: Extracting #6: cost 331 inf + 3926
384.907 * * [simplify]: Extracting #7: cost 120 inf + 76294
384.934 * * [simplify]: Extracting #8: cost 44 inf + 108554
384.986 * * [simplify]: Extracting #9: cost 20 inf + 131716
385.058 * * [simplify]: Extracting #10: cost 6 inf + 145749
385.117 * * [simplify]: Extracting #11: cost 0 inf + 155012
385.224 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))) 2) (* (cos (/ K 2)) J)) (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (/ (/ U 2) (* (cos (/ K 2)) J))) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (+ (/ (* (/ (* U U) (* J (* 2 (cos (/ K 2))))) (* (* U U) (/ (* U U) (* J (* 2 (cos (/ K 2))))))) (* J (* 2 (cos (/ K 2))))) (* (* U U) (/ (* U U) (* J (* 2 (cos (/ K 2)))))))))))
385.224 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))) 2) (* (cos (/ K 2)) J)) (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (/ (/ U 2) (* (cos (/ K 2)) J))) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (+ (/ (* (/ (* U U) (* J (* 2 (cos (/ K 2))))) (* (* U U) (/ (* U U) (* J (* 2 (cos (/ K 2))))))) (* J (* 2 (cos (/ K 2))))) (* (* U U) (/ (* U U) (* J (* 2 (cos (/ K 2))))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
385.226 * * * * [progress]: [ 213 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
385.226 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
385.227 * * [simplify]: iters left: 6 (45 enodes)
385.254 * * [simplify]: iters left: 5 (228 enodes)
385.337 * * [simplify]: Extracting #0: cost 1 inf + 0
385.337 * * [simplify]: Extracting #1: cost 30 inf + 0
385.337 * * [simplify]: Extracting #2: cost 59 inf + 1
385.337 * * [simplify]: Extracting #3: cost 69 inf + 2
385.338 * * [simplify]: Extracting #4: cost 92 inf + 45
385.338 * * [simplify]: Extracting #5: cost 214 inf + 662
385.340 * * [simplify]: Extracting #6: cost 281 inf + 5096
385.355 * * [simplify]: Extracting #7: cost 111 inf + 60645
385.378 * * [simplify]: Extracting #8: cost 37 inf + 87297
385.411 * * [simplify]: Extracting #9: cost 15 inf + 107739
385.472 * * [simplify]: Extracting #10: cost 0 inf + 123602
385.546 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (* (* 2 J) (cos (/ K 2))) (- 1 (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (* (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) U) (* (/ U (* (* 2 J) (cos (/ K 2)))) (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))))))) (/ (* (sqrt (+ (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* (* 2 J) (cos (/ K 2))) (- 1 (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))))) (* (* (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1) (* U U)) (* U (/ U (* (* 2 J) (cos (/ K 2)))))))))))
385.546 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (* (* 2 J) (cos (/ K 2))) (- 1 (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))) (* (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) U) (* (/ U (* (* 2 J) (cos (/ K 2)))) (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1))))))) (/ (* (sqrt (+ (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* (* 2 J) (cos (/ K 2))) (- 1 (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))))) (* (* (+ (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) 1) (* U U)) (* U (/ U (* (* 2 J) (cos (/ K 2))))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
385.548 * * * * [progress]: [ 214 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
385.549 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
385.549 * * [simplify]: iters left: 6 (52 enodes)
385.583 * * [simplify]: iters left: 5 (273 enodes)
385.695 * * [simplify]: Extracting #0: cost 1 inf + 0
385.695 * * [simplify]: Extracting #1: cost 30 inf + 0
385.696 * * [simplify]: Extracting #2: cost 59 inf + 1
385.696 * * [simplify]: Extracting #3: cost 68 inf + 44
385.696 * * [simplify]: Extracting #4: cost 103 inf + 45
385.698 * * [simplify]: Extracting #5: cost 245 inf + 764
385.701 * * [simplify]: Extracting #6: cost 339 inf + 4690
385.722 * * [simplify]: Extracting #7: cost 175 inf + 57748
385.770 * * [simplify]: Extracting #8: cost 45 inf + 109351
385.831 * * [simplify]: Extracting #9: cost 22 inf + 128435
385.883 * * [simplify]: Extracting #10: cost 6 inf + 143970
385.948 * * [simplify]: Extracting #11: cost 0 inf + 152043
386.003 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))) (+ (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))) (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))))))) -2) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* U U))))))
386.003 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))) (+ (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))) (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))))))) -2) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* U U)))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
386.004 * * * * [progress]: [ 215 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
386.004 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
386.005 * * [simplify]: iters left: 6 (45 enodes)
386.021 * * [simplify]: iters left: 5 (230 enodes)
386.100 * * [simplify]: Extracting #0: cost 1 inf + 0
386.100 * * [simplify]: Extracting #1: cost 30 inf + 0
386.100 * * [simplify]: Extracting #2: cost 59 inf + 1
386.100 * * [simplify]: Extracting #3: cost 69 inf + 2
386.101 * * [simplify]: Extracting #4: cost 94 inf + 45
386.101 * * [simplify]: Extracting #5: cost 214 inf + 335
386.103 * * [simplify]: Extracting #6: cost 288 inf + 5258
386.121 * * [simplify]: Extracting #7: cost 94 inf + 66135
386.159 * * [simplify]: Extracting #8: cost 28 inf + 100230
386.202 * * [simplify]: Extracting #9: cost 4 inf + 120765
386.254 * * [simplify]: Extracting #10: cost 0 inf + 124427
386.294 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (* U U) (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))))) (/ (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (+ (/ (* (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))))))))
386.294 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (* U U) (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))))) (/ (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (+ (/ (* (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
386.295 * * * * [progress]: [ 216 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
386.295 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
386.296 * * [simplify]: iters left: 6 (53 enodes)
386.324 * * [simplify]: iters left: 5 (271 enodes)
386.408 * * [simplify]: Extracting #0: cost 1 inf + 0
386.408 * * [simplify]: Extracting #1: cost 30 inf + 0
386.408 * * [simplify]: Extracting #2: cost 59 inf + 1
386.409 * * [simplify]: Extracting #3: cost 68 inf + 44
386.409 * * [simplify]: Extracting #4: cost 104 inf + 45
386.409 * * [simplify]: Extracting #5: cost 240 inf + 519
386.411 * * [simplify]: Extracting #6: cost 324 inf + 5266
386.423 * * [simplify]: Extracting #7: cost 146 inf + 63964
386.453 * * [simplify]: Extracting #8: cost 46 inf + 107784
386.488 * * [simplify]: Extracting #9: cost 26 inf + 122895
386.555 * * [simplify]: Extracting #10: cost 22 inf + 125337
386.623 * * [simplify]: Extracting #11: cost 19 inf + 127510
386.679 * * [simplify]: Extracting #12: cost 5 inf + 143870
386.728 * * [simplify]: Extracting #13: cost 0 inf + 151238
386.781 * [simplify]: Simplified to (/ (* (/ (* (cos (/ K 2)) J) (/ (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* U U)) (* U (/ (/ U (cos (/ K 2))) (* 2 J))))))) (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)))) -2) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (cos (/ K 2))) (* 2 J)) (* (+ (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* U (/ (/ U (cos (/ K 2))) (* 2 J))))))))
386.781 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (cos (/ K 2)) J) (/ (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* U U)) (* U (/ (/ U (cos (/ K 2))) (* 2 J))))))) (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)))) -2) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (cos (/ K 2))) (* 2 J)) (* (+ (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* U (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
386.782 * * * * [progress]: [ 217 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
386.782 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
386.783 * * [simplify]: iters left: 6 (46 enodes)
386.797 * * [simplify]: iters left: 5 (228 enodes)
386.862 * * [simplify]: Extracting #0: cost 1 inf + 0
386.862 * * [simplify]: Extracting #1: cost 30 inf + 0
386.862 * * [simplify]: Extracting #2: cost 59 inf + 1
386.862 * * [simplify]: Extracting #3: cost 69 inf + 2
386.862 * * [simplify]: Extracting #4: cost 95 inf + 45
386.863 * * [simplify]: Extracting #5: cost 217 inf + 377
386.864 * * [simplify]: Extracting #6: cost 281 inf + 4691
386.878 * * [simplify]: Extracting #7: cost 104 inf + 63382
386.910 * * [simplify]: Extracting #8: cost 34 inf + 91009
386.940 * * [simplify]: Extracting #9: cost 13 inf + 110582
387.013 * * [simplify]: Extracting #10: cost 0 inf + 124397
387.085 * * [simplify]: Extracting #11: cost 0 inf + 124277
387.131 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ (* (* (/ U (* J (* 2 (cos (/ K 2))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))))) (* (* (+ (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) 1) (* U (/ U (* J (* 2 (cos (/ K 2))))))) (* U U)))))) -2) (sqrt (sqrt (+ (* (* (* (/ U (* J (* 2 (cos (/ K 2))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))) U) (+ (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) 1)) (* (* J (* 2 (cos (/ K 2)))) (- 1 (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))))))))
387.131 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ (* (* (/ U (* J (* 2 (cos (/ K 2))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))))) (* (* (+ (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) 1) (* U (/ U (* J (* 2 (cos (/ K 2))))))) (* U U)))))) -2) (sqrt (sqrt (+ (* (* (* (/ U (* J (* 2 (cos (/ K 2))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))) U) (+ (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) 1)) (* (* J (* 2 (cos (/ K 2)))) (- 1 (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
387.132 * * * * [progress]: [ 218 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
387.132 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
387.133 * * [simplify]: iters left: 6 (52 enodes)
387.150 * * [simplify]: iters left: 5 (272 enodes)
387.263 * * [simplify]: Extracting #0: cost 1 inf + 0
387.263 * * [simplify]: Extracting #1: cost 30 inf + 0
387.263 * * [simplify]: Extracting #2: cost 59 inf + 1
387.263 * * [simplify]: Extracting #3: cost 68 inf + 44
387.263 * * [simplify]: Extracting #4: cost 103 inf + 45
387.264 * * [simplify]: Extracting #5: cost 240 inf + 519
387.266 * * [simplify]: Extracting #6: cost 319 inf + 5920
387.278 * * [simplify]: Extracting #7: cost 143 inf + 63616
387.327 * * [simplify]: Extracting #8: cost 48 inf + 105166
387.417 * * [simplify]: Extracting #9: cost 8 inf + 140418
387.497 * * [simplify]: Extracting #10: cost 0 inf + 152943
387.571 * [simplify]: Simplified to (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (sqrt (+ (* (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (+ (/ (* (/ (* U U) (* J (* 2 (cos (/ K 2))))) (* (* U U) (/ (* U U) (* J (* 2 (cos (/ K 2))))))) (* J (* 2 (cos (/ K 2))))) (* (* U U) (/ (* U U) (* J (* 2 (cos (/ K 2)))))))))) (/ -2 (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 2) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) U) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) U) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))) (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))))
387.572 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (sqrt (+ (* (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (+ (/ (* (/ (* U U) (* J (* 2 (cos (/ K 2))))) (* (* U U) (/ (* U U) (* J (* 2 (cos (/ K 2))))))) (* J (* 2 (cos (/ K 2))))) (* (* U U) (/ (* U U) (* J (* 2 (cos (/ K 2)))))))))) (/ -2 (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 2) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) U) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) U) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))) (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
387.573 * * * * [progress]: [ 219 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
387.574 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
387.575 * * [simplify]: iters left: 6 (45 enodes)
387.604 * * [simplify]: iters left: 5 (229 enodes)
387.718 * * [simplify]: Extracting #0: cost 1 inf + 0
387.718 * * [simplify]: Extracting #1: cost 30 inf + 0
387.718 * * [simplify]: Extracting #2: cost 59 inf + 1
387.718 * * [simplify]: Extracting #3: cost 69 inf + 2
387.719 * * [simplify]: Extracting #4: cost 95 inf + 45
387.719 * * [simplify]: Extracting #5: cost 208 inf + 561
387.721 * * [simplify]: Extracting #6: cost 281 inf + 4711
387.730 * * [simplify]: Extracting #7: cost 127 inf + 54817
387.755 * * [simplify]: Extracting #8: cost 31 inf + 99724
387.785 * * [simplify]: Extracting #9: cost 16 inf + 111304
387.862 * * [simplify]: Extracting #10: cost 2 inf + 126744
387.930 * * [simplify]: Extracting #11: cost 0 inf + 129394
387.983 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* U (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))))))))) -2) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (cos (/ K 2))) (* 2 J)) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))
387.983 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* U (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))))))))) -2) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (cos (/ K 2))) (* 2 J)) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
387.985 * * * * [progress]: [ 220 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3)))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
387.986 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3))))))
387.986 * * [simplify]: iters left: 6 (47 enodes)
388.012 * * [simplify]: iters left: 5 (235 enodes)
388.105 * * [simplify]: Extracting #0: cost 1 inf + 0
388.105 * * [simplify]: Extracting #1: cost 30 inf + 0
388.105 * * [simplify]: Extracting #2: cost 59 inf + 1
388.105 * * [simplify]: Extracting #3: cost 69 inf + 2
388.106 * * [simplify]: Extracting #4: cost 96 inf + 45
388.106 * * [simplify]: Extracting #5: cost 228 inf + 377
388.108 * * [simplify]: Extracting #6: cost 291 inf + 4868
388.118 * * [simplify]: Extracting #7: cost 120 inf + 58108
388.149 * * [simplify]: Extracting #8: cost 42 inf + 90160
388.206 * * [simplify]: Extracting #9: cost 13 inf + 116053
388.257 * * [simplify]: Extracting #10: cost 0 inf + 131720
388.336 * * [simplify]: Extracting #11: cost 0 inf + 131327
388.404 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (/ (* (cos (/ K 2)) J) (/ (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (+ (/ (* (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))))))) (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)))))
388.404 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (/ (* (cos (/ K 2)) J) (/ (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (+ (/ (* (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))))))) (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
388.406 * * * * [progress]: [ 221 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
388.406 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
388.406 * * [simplify]: iters left: 6 (46 enodes)
388.422 * * [simplify]: iters left: 5 (235 enodes)
388.517 * * [simplify]: Extracting #0: cost 1 inf + 0
388.517 * * [simplify]: Extracting #1: cost 30 inf + 0
388.517 * * [simplify]: Extracting #2: cost 59 inf + 1
388.518 * * [simplify]: Extracting #3: cost 69 inf + 2
388.518 * * [simplify]: Extracting #4: cost 99 inf + 45
388.519 * * [simplify]: Extracting #5: cost 217 inf + 335
388.522 * * [simplify]: Extracting #6: cost 275 inf + 4430
388.543 * * [simplify]: Extracting #7: cost 105 inf + 58793
388.580 * * [simplify]: Extracting #8: cost 39 inf + 82393
388.624 * * [simplify]: Extracting #9: cost 17 inf + 103194
388.661 * * [simplify]: Extracting #10: cost 0 inf + 120387
388.726 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (- (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (* (* U (* U U)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1)))))))
388.726 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (- (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (* (* U (* U U)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1))))))) (* (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
388.727 * * * * [progress]: [ 222 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
388.728 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
388.728 * * [simplify]: iters left: 6 (51 enodes)
388.745 * * [simplify]: iters left: 5 (263 enodes)
388.869 * * [simplify]: Extracting #0: cost 1 inf + 0
388.869 * * [simplify]: Extracting #1: cost 30 inf + 0
388.870 * * [simplify]: Extracting #2: cost 59 inf + 1
388.870 * * [simplify]: Extracting #3: cost 68 inf + 44
388.870 * * [simplify]: Extracting #4: cost 102 inf + 45
388.871 * * [simplify]: Extracting #5: cost 240 inf + 519
388.873 * * [simplify]: Extracting #6: cost 302 inf + 7285
388.885 * * [simplify]: Extracting #7: cost 137 inf + 65391
388.911 * * [simplify]: Extracting #8: cost 47 inf + 101472
388.948 * * [simplify]: Extracting #9: cost 29 inf + 117170
389.012 * * [simplify]: Extracting #10: cost 5 inf + 144542
389.089 * * [simplify]: Extracting #11: cost 0 inf + 151512
389.192 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* U U) (* U U))) (* (* U U) (* U U))))))) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* U U) U)))))))
389.192 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* U U) (* U U))) (* (* U U) (* U U))))))) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* U U) U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
389.194 * * * * [progress]: [ 223 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
389.194 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
389.196 * * [simplify]: iters left: 6 (53 enodes)
389.221 * * [simplify]: iters left: 5 (274 enodes)
389.317 * * [simplify]: Extracting #0: cost 1 inf + 0
389.317 * * [simplify]: Extracting #1: cost 30 inf + 0
389.317 * * [simplify]: Extracting #2: cost 59 inf + 1
389.317 * * [simplify]: Extracting #3: cost 68 inf + 44
389.318 * * [simplify]: Extracting #4: cost 100 inf + 45
389.319 * * [simplify]: Extracting #5: cost 246 inf + 478
389.322 * * [simplify]: Extracting #6: cost 339 inf + 3758
389.333 * * [simplify]: Extracting #7: cost 240 inf + 32045
389.366 * * [simplify]: Extracting #8: cost 95 inf + 88092
389.422 * * [simplify]: Extracting #9: cost 35 inf + 117335
389.483 * * [simplify]: Extracting #10: cost 8 inf + 145978
389.547 * * [simplify]: Extracting #11: cost 0 inf + 157704
389.611 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))))) (* (* (* U U) (* U U)) (+ 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (* (* U U) U) (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))))))))
389.611 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))))) (* (* (* U U) (* U U)) (+ 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (* (* U U) U) (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
389.612 * * * * [progress]: [ 224 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
389.613 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
389.613 * * [simplify]: iters left: 6 (51 enodes)
389.636 * * [simplify]: iters left: 5 (259 enodes)
389.746 * * [simplify]: Extracting #0: cost 1 inf + 0
389.746 * * [simplify]: Extracting #1: cost 24 inf + 0
389.746 * * [simplify]: Extracting #2: cost 51 inf + 1
389.746 * * [simplify]: Extracting #3: cost 59 inf + 44
389.747 * * [simplify]: Extracting #4: cost 139 inf + 45
389.749 * * [simplify]: Extracting #5: cost 309 inf + 784
389.753 * * [simplify]: Extracting #6: cost 275 inf + 11162
389.770 * * [simplify]: Extracting #7: cost 142 inf + 50291
389.810 * * [simplify]: Extracting #8: cost 41 inf + 95755
389.864 * * [simplify]: Extracting #9: cost 22 inf + 109432
389.915 * * [simplify]: Extracting #10: cost 2 inf + 129905
389.965 * * [simplify]: Extracting #11: cost 0 inf + 132156
390.014 * [simplify]: Simplified to (/ -2 (/ (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (* (* U U) U) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J))))
390.014 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ -2 (/ (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (* (* U U) U) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
390.016 * * * * [progress]: [ 225 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
390.017 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
390.017 * * [simplify]: iters left: 6 (53 enodes)
390.040 * * [simplify]: iters left: 5 (271 enodes)
390.133 * * [simplify]: Extracting #0: cost 1 inf + 0
390.133 * * [simplify]: Extracting #1: cost 30 inf + 0
390.133 * * [simplify]: Extracting #2: cost 59 inf + 1
390.133 * * [simplify]: Extracting #3: cost 69 inf + 2
390.134 * * [simplify]: Extracting #4: cost 105 inf + 45
390.134 * * [simplify]: Extracting #5: cost 285 inf + 662
390.136 * * [simplify]: Extracting #6: cost 328 inf + 10755
390.149 * * [simplify]: Extracting #7: cost 206 inf + 48042
390.188 * * [simplify]: Extracting #8: cost 61 inf + 108074
390.247 * * [simplify]: Extracting #9: cost 17 inf + 140831
390.320 * * [simplify]: Extracting #10: cost 1 inf + 160882
390.398 * * [simplify]: Extracting #11: cost 0 inf + 162388
390.487 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (cos (/ K 2))) (/ (sqrt (sqrt (+ (* (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* J (* 2 (cos (/ K 2))))) (* (/ (* (* U U) (* U U)) (* J (* 2 (cos (/ K 2))))) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1))))) J)) -2) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* U U) U))))))
390.487 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (cos (/ K 2))) (/ (sqrt (sqrt (+ (* (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* J (* 2 (cos (/ K 2))))) (* (/ (* (* U U) (* U U)) (* J (* 2 (cos (/ K 2))))) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1))))) J)) -2) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* U U) U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
390.488 * * * * [progress]: [ 226 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
390.489 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
390.489 * * [simplify]: iters left: 6 (52 enodes)
390.506 * * [simplify]: iters left: 5 (260 enodes)
390.598 * * [simplify]: Extracting #0: cost 1 inf + 0
390.599 * * [simplify]: Extracting #1: cost 24 inf + 0
390.599 * * [simplify]: Extracting #2: cost 51 inf + 1
390.599 * * [simplify]: Extracting #3: cost 59 inf + 44
390.599 * * [simplify]: Extracting #4: cost 134 inf + 45
390.601 * * [simplify]: Extracting #5: cost 294 inf + 929
390.606 * * [simplify]: Extracting #6: cost 251 inf + 13960
390.625 * * [simplify]: Extracting #7: cost 123 inf + 59956
390.669 * * [simplify]: Extracting #8: cost 41 inf + 97736
390.734 * * [simplify]: Extracting #9: cost 4 inf + 127512
390.811 * * [simplify]: Extracting #10: cost 0 inf + 127606
390.862 * * [simplify]: Extracting #11: cost 0 inf + 126442
390.916 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) U) (* (* U U) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2))
390.916 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) U) (* (* U U) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2)) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
390.918 * * * * [progress]: [ 227 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
390.918 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
390.919 * * [simplify]: iters left: 6 (54 enodes)
390.939 * * [simplify]: iters left: 5 (271 enodes)
391.033 * * [simplify]: Extracting #0: cost 1 inf + 0
391.033 * * [simplify]: Extracting #1: cost 30 inf + 0
391.033 * * [simplify]: Extracting #2: cost 59 inf + 1
391.033 * * [simplify]: Extracting #3: cost 69 inf + 2
391.034 * * [simplify]: Extracting #4: cost 107 inf + 45
391.034 * * [simplify]: Extracting #5: cost 287 inf + 478
391.037 * * [simplify]: Extracting #6: cost 326 inf + 8466
391.043 * * [simplify]: Extracting #7: cost 225 inf + 36636
391.066 * * [simplify]: Extracting #8: cost 99 inf + 86652
391.106 * * [simplify]: Extracting #9: cost 37 inf + 121520
391.166 * * [simplify]: Extracting #10: cost 4 inf + 155718
391.263 * * [simplify]: Extracting #11: cost 0 inf + 161142
391.329 * [simplify]: Simplified to (/ (* (* -2 (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))) (* (cos (/ K 2)) J)) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* U (* (* (* U U) (/ (/ U (* (cos (/ K 2)) J)) 2)) (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* U U) (/ (/ U (* (cos (/ K 2)) J)) 2))) U))))))
391.329 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* -2 (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))) (* (cos (/ K 2)) J)) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* U (* (* (* U U) (/ (/ U (* (cos (/ K 2)) J)) 2)) (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* U U) (/ (/ U (* (cos (/ K 2)) J)) 2))) U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
391.331 * * * * [progress]: [ 228 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
391.331 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
391.331 * * [simplify]: iters left: 6 (44 enodes)
391.351 * * [simplify]: iters left: 5 (223 enodes)
391.421 * * [simplify]: Extracting #0: cost 1 inf + 0
391.421 * * [simplify]: Extracting #1: cost 24 inf + 0
391.421 * * [simplify]: Extracting #2: cost 51 inf + 1
391.421 * * [simplify]: Extracting #3: cost 59 inf + 44
391.421 * * [simplify]: Extracting #4: cost 128 inf + 45
391.422 * * [simplify]: Extracting #5: cost 276 inf + 622
391.424 * * [simplify]: Extracting #6: cost 246 inf + 10397
391.433 * * [simplify]: Extracting #7: cost 112 inf + 53081
391.463 * * [simplify]: Extracting #8: cost 44 inf + 82626
391.515 * * [simplify]: Extracting #9: cost 19 inf + 102775
391.565 * * [simplify]: Extracting #10: cost 0 inf + 122541
391.640 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (* (* U U) U) (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1))))))
391.640 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (* (* U U) U) (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
391.642 * * * * [progress]: [ 229 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
391.643 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
391.644 * * [simplify]: iters left: 6 (51 enodes)
391.664 * * [simplify]: iters left: 5 (263 enodes)
391.757 * * [simplify]: Extracting #0: cost 1 inf + 0
391.757 * * [simplify]: Extracting #1: cost 30 inf + 0
391.757 * * [simplify]: Extracting #2: cost 59 inf + 1
391.757 * * [simplify]: Extracting #3: cost 68 inf + 44
391.758 * * [simplify]: Extracting #4: cost 102 inf + 45
391.759 * * [simplify]: Extracting #5: cost 254 inf + 478
391.763 * * [simplify]: Extracting #6: cost 308 inf + 8850
391.785 * * [simplify]: Extracting #7: cost 142 inf + 63960
391.826 * * [simplify]: Extracting #8: cost 62 inf + 94726
391.882 * * [simplify]: Extracting #9: cost 36 inf + 109891
391.939 * * [simplify]: Extracting #10: cost 6 inf + 142058
392.000 * * [simplify]: Extracting #11: cost 0 inf + 150531
392.060 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (+ 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* U U)) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)))))) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J))) (+ (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)))))))
392.060 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (+ 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* U U)) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)))))) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J))) (+ (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
392.062 * * * * [progress]: [ 230 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
392.062 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
392.063 * * [simplify]: iters left: 6 (50 enodes)
392.097 * * [simplify]: iters left: 5 (261 enodes)
392.219 * * [simplify]: Extracting #0: cost 1 inf + 0
392.219 * * [simplify]: Extracting #1: cost 30 inf + 0
392.219 * * [simplify]: Extracting #2: cost 59 inf + 1
392.220 * * [simplify]: Extracting #3: cost 68 inf + 44
392.220 * * [simplify]: Extracting #4: cost 102 inf + 45
392.220 * * [simplify]: Extracting #5: cost 250 inf + 377
392.222 * * [simplify]: Extracting #6: cost 331 inf + 4142
392.228 * * [simplify]: Extracting #7: cost 228 inf + 35904
392.248 * * [simplify]: Extracting #8: cost 106 inf + 86878
392.306 * * [simplify]: Extracting #9: cost 38 inf + 124359
392.365 * * [simplify]: Extracting #10: cost 21 inf + 139477
392.436 * * [simplify]: Extracting #11: cost 3 inf + 159912
392.546 * * [simplify]: Extracting #12: cost 0 inf + 162630
392.647 * * [simplify]: Extracting #13: cost 0 inf + 162150
392.717 * [simplify]: Simplified to (/ -2 (/ (* (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* U U))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))) (* U U)))))) (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J))))
392.717 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ -2 (/ (* (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* U U))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))) (* U U)))))) (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
392.719 * * * * [progress]: [ 231 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
392.719 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
392.719 * * [simplify]: iters left: 6 (52 enodes)
392.748 * * [simplify]: iters left: 5 (271 enodes)
392.861 * * [simplify]: Extracting #0: cost 1 inf + 0
392.861 * * [simplify]: Extracting #1: cost 30 inf + 0
392.862 * * [simplify]: Extracting #2: cost 59 inf + 1
392.862 * * [simplify]: Extracting #3: cost 69 inf + 2
392.862 * * [simplify]: Extracting #4: cost 100 inf + 45
392.864 * * [simplify]: Extracting #5: cost 252 inf + 621
392.868 * * [simplify]: Extracting #6: cost 325 inf + 7421
392.886 * * [simplify]: Extracting #7: cost 189 inf + 49614
392.922 * * [simplify]: Extracting #8: cost 54 inf + 108291
392.966 * * [simplify]: Extracting #9: cost 20 inf + 133074
393.053 * * [simplify]: Extracting #10: cost 5 inf + 149820
393.156 * * [simplify]: Extracting #11: cost 0 inf + 156787
393.257 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* 2 (* (cos (/ K 2)) J))) (* (* (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (* U U)))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))
393.258 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* 2 (* (cos (/ K 2)) J))) (* (* (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (* U U)))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
393.259 * * * * [progress]: [ 232 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
393.260 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
393.261 * * [simplify]: iters left: 6 (51 enodes)
393.293 * * [simplify]: iters left: 5 (259 enodes)
393.397 * * [simplify]: Extracting #0: cost 1 inf + 0
393.397 * * [simplify]: Extracting #1: cost 30 inf + 0
393.397 * * [simplify]: Extracting #2: cost 59 inf + 1
393.397 * * [simplify]: Extracting #3: cost 68 inf + 44
393.398 * * [simplify]: Extracting #4: cost 102 inf + 45
393.399 * * [simplify]: Extracting #5: cost 238 inf + 377
393.402 * * [simplify]: Extracting #6: cost 308 inf + 5037
393.416 * * [simplify]: Extracting #7: cost 190 inf + 41641
393.458 * * [simplify]: Extracting #8: cost 77 inf + 88010
393.501 * * [simplify]: Extracting #9: cost 35 inf + 113972
393.561 * * [simplify]: Extracting #10: cost 4 inf + 146163
393.654 * * [simplify]: Extracting #11: cost 0 inf + 150625
393.734 * * [simplify]: Extracting #12: cost 0 inf + 150105
393.813 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))) (* (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J))) (+ (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ (* (* U U) U) (* 2 (* (cos (/ K 2)) J))) (+ (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))))))
393.813 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))) (* (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J))) (+ (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ (* (* U U) U) (* 2 (* (cos (/ K 2)) J))) (+ (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
393.815 * * * * [progress]: [ 233 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
393.815 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
393.816 * * [simplify]: iters left: 6 (53 enodes)
393.834 * * [simplify]: iters left: 5 (269 enodes)
393.930 * * [simplify]: Extracting #0: cost 1 inf + 0
393.931 * * [simplify]: Extracting #1: cost 30 inf + 0
393.931 * * [simplify]: Extracting #2: cost 59 inf + 1
393.931 * * [simplify]: Extracting #3: cost 69 inf + 2
393.932 * * [simplify]: Extracting #4: cost 100 inf + 45
393.933 * * [simplify]: Extracting #5: cost 241 inf + 662
393.936 * * [simplify]: Extracting #6: cost 310 inf + 6929
393.945 * * [simplify]: Extracting #7: cost 189 inf + 47435
393.965 * * [simplify]: Extracting #8: cost 90 inf + 87246
394.008 * * [simplify]: Extracting #9: cost 38 inf + 110910
394.066 * * [simplify]: Extracting #10: cost 7 inf + 142268
394.133 * * [simplify]: Extracting #11: cost 0 inf + 151606
394.204 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (* (* U U) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)))))))) (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))
394.204 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (* (* U U) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)))))))) (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
394.206 * * * * [progress]: [ 234 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
394.207 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
394.208 * * [simplify]: iters left: 6 (50 enodes)
394.238 * * [simplify]: iters left: 5 (241 enodes)
394.333 * * [simplify]: Extracting #0: cost 1 inf + 0
394.333 * * [simplify]: Extracting #1: cost 24 inf + 0
394.333 * * [simplify]: Extracting #2: cost 51 inf + 1
394.334 * * [simplify]: Extracting #3: cost 59 inf + 44
394.334 * * [simplify]: Extracting #4: cost 129 inf + 45
394.335 * * [simplify]: Extracting #5: cost 281 inf + 519
394.337 * * [simplify]: Extracting #6: cost 245 inf + 12586
394.360 * * [simplify]: Extracting #7: cost 86 inf + 65546
394.388 * * [simplify]: Extracting #8: cost 32 inf + 91867
394.436 * * [simplify]: Extracting #9: cost 16 inf + 106662
394.514 * * [simplify]: Extracting #10: cost 0 inf + 124233
394.585 * [simplify]: Simplified to (/ (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (/ (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (* (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* U U) U)))) (* (* (cos (/ K 2)) J) -2)))
394.585 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (/ (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (* (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* U U) U)))) (* (* (cos (/ K 2)) J) -2))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
394.586 * * * * [progress]: [ 235 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
394.587 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
394.587 * * [simplify]: iters left: 6 (53 enodes)
394.604 * * [simplify]: iters left: 5 (267 enodes)
394.714 * * [simplify]: Extracting #0: cost 1 inf + 0
394.714 * * [simplify]: Extracting #1: cost 30 inf + 0
394.714 * * [simplify]: Extracting #2: cost 59 inf + 1
394.715 * * [simplify]: Extracting #3: cost 69 inf + 2
394.715 * * [simplify]: Extracting #4: cost 107 inf + 45
394.717 * * [simplify]: Extracting #5: cost 282 inf + 478
394.720 * * [simplify]: Extracting #6: cost 330 inf + 4798
394.732 * * [simplify]: Extracting #7: cost 228 inf + 35481
394.782 * * [simplify]: Extracting #8: cost 69 inf + 102037
394.852 * * [simplify]: Extracting #9: cost 24 inf + 133102
394.930 * * [simplify]: Extracting #10: cost 17 inf + 139558
394.992 * * [simplify]: Extracting #11: cost 7 inf + 151216
395.069 * * [simplify]: Extracting #12: cost 0 inf + 161595
395.168 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (* U U) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))))))) -2) (sqrt (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (* (* U U) U) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))))))))
395.168 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (* U U) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))))))) -2) (sqrt (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (* (* U U) U) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
395.170 * * * * [progress]: [ 236 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
395.171 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
395.172 * * [simplify]: iters left: 6 (51 enodes)
395.204 * * [simplify]: iters left: 5 (260 enodes)
395.309 * * [simplify]: Extracting #0: cost 1 inf + 0
395.309 * * [simplify]: Extracting #1: cost 30 inf + 0
395.309 * * [simplify]: Extracting #2: cost 59 inf + 1
395.310 * * [simplify]: Extracting #3: cost 68 inf + 44
395.310 * * [simplify]: Extracting #4: cost 102 inf + 45
395.311 * * [simplify]: Extracting #5: cost 240 inf + 764
395.313 * * [simplify]: Extracting #6: cost 301 inf + 10279
395.344 * * [simplify]: Extracting #7: cost 128 inf + 74700
395.375 * * [simplify]: Extracting #8: cost 48 inf + 106757
395.423 * * [simplify]: Extracting #9: cost 37 inf + 114593
395.482 * * [simplify]: Extracting #10: cost 6 inf + 148185
395.562 * * [simplify]: Extracting #11: cost 0 inf + 156458
395.630 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) U) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (* U U) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))))))))
395.630 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) U) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (* U U) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
395.632 * * * * [progress]: [ 237 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
395.633 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
395.634 * * [simplify]: iters left: 6 (53 enodes)
395.651 * * [simplify]: iters left: 5 (270 enodes)
395.738 * * [simplify]: Extracting #0: cost 1 inf + 0
395.738 * * [simplify]: Extracting #1: cost 30 inf + 0
395.738 * * [simplify]: Extracting #2: cost 59 inf + 1
395.738 * * [simplify]: Extracting #3: cost 69 inf + 2
395.739 * * [simplify]: Extracting #4: cost 100 inf + 45
395.739 * * [simplify]: Extracting #5: cost 243 inf + 519
395.741 * * [simplify]: Extracting #6: cost 309 inf + 10522
395.761 * * [simplify]: Extracting #7: cost 141 inf + 74227
395.798 * * [simplify]: Extracting #8: cost 59 inf + 110608
395.842 * * [simplify]: Extracting #9: cost 24 inf + 134036
395.925 * * [simplify]: Extracting #10: cost 5 inf + 156498
395.992 * * [simplify]: Extracting #11: cost 0 inf + 157685
396.068 * * [simplify]: Extracting #12: cost 0 inf + 152670
396.161 * * [simplify]: Extracting #13: cost 0 inf + 151790
396.222 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (* (* U U) U) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)))))) (sqrt (sqrt (+ (* (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) U) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))))))
396.223 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (* (* U U) U) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)))))) (sqrt (sqrt (+ (* (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) U) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
396.224 * * * * [progress]: [ 238 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
396.225 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
396.226 * * [simplify]: iters left: 6 (51 enodes)
396.258 * * [simplify]: iters left: 5 (260 enodes)
396.345 * * [simplify]: Extracting #0: cost 1 inf + 0
396.345 * * [simplify]: Extracting #1: cost 30 inf + 0
396.345 * * [simplify]: Extracting #2: cost 59 inf + 1
396.345 * * [simplify]: Extracting #3: cost 69 inf + 2
396.346 * * [simplify]: Extracting #4: cost 102 inf + 45
396.346 * * [simplify]: Extracting #5: cost 239 inf + 764
396.348 * * [simplify]: Extracting #6: cost 313 inf + 5423
396.362 * * [simplify]: Extracting #7: cost 192 inf + 43762
396.387 * * [simplify]: Extracting #8: cost 88 inf + 86562
396.425 * * [simplify]: Extracting #9: cost 39 inf + 111762
396.473 * * [simplify]: Extracting #10: cost 17 inf + 135161
396.537 * * [simplify]: Extracting #11: cost 2 inf + 154225
396.599 * * [simplify]: Extracting #12: cost 0 inf + 154997
396.685 * * [simplify]: Extracting #13: cost 0 inf + 154797
396.744 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 J) (cos (/ K 2))) (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (* (* U U) U) (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))))))) -2) (sqrt (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) U) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) U))))))
396.744 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 J) (cos (/ K 2))) (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (* (* U U) U) (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))))))) -2) (sqrt (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) U) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
396.745 * * * * [progress]: [ 239 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
396.746 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
396.746 * * [simplify]: iters left: 6 (53 enodes)
396.769 * * [simplify]: iters left: 5 (270 enodes)
396.889 * * [simplify]: Extracting #0: cost 1 inf + 0
396.890 * * [simplify]: Extracting #1: cost 30 inf + 0
396.890 * * [simplify]: Extracting #2: cost 59 inf + 1
396.890 * * [simplify]: Extracting #3: cost 69 inf + 2
396.890 * * [simplify]: Extracting #4: cost 100 inf + 45
396.891 * * [simplify]: Extracting #5: cost 244 inf + 519
396.893 * * [simplify]: Extracting #6: cost 317 inf + 6034
396.903 * * [simplify]: Extracting #7: cost 188 inf + 47137
396.923 * * [simplify]: Extracting #8: cost 78 inf + 100225
396.969 * * [simplify]: Extracting #9: cost 24 inf + 131867
397.041 * * [simplify]: Extracting #10: cost 8 inf + 144893
397.105 * * [simplify]: Extracting #11: cost 0 inf + 154345
397.168 * * [simplify]: Extracting #12: cost 0 inf + 153705
397.243 * [simplify]: Simplified to (/ (* (/ (sqrt (+ (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) 1)) (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))))) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (* (* (* U U) U) (+ (+ (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))) 1)))))) (* (cos (/ K 2)) J))) -2) (sqrt (sqrt (+ (* (* U U) (+ (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* 2 (* (cos (/ K 2)) J))))))))
397.244 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (sqrt (+ (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) 1)) (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))))) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (* (* (* U U) U) (+ (+ (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))) 1)))))) (* (cos (/ K 2)) J))) -2) (sqrt (sqrt (+ (* (* U U) (+ (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* 2 (* (cos (/ K 2)) J)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
397.245 * * * * [progress]: [ 240 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
397.246 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
397.247 * * [simplify]: iters left: 6 (50 enodes)
397.279 * * [simplify]: iters left: 5 (261 enodes)
397.364 * * [simplify]: Extracting #0: cost 1 inf + 0
397.365 * * [simplify]: Extracting #1: cost 30 inf + 0
397.365 * * [simplify]: Extracting #2: cost 59 inf + 1
397.365 * * [simplify]: Extracting #3: cost 68 inf + 44
397.366 * * [simplify]: Extracting #4: cost 102 inf + 45
397.367 * * [simplify]: Extracting #5: cost 248 inf + 478
397.370 * * [simplify]: Extracting #6: cost 316 inf + 6560
397.388 * * [simplify]: Extracting #7: cost 177 inf + 50409
397.429 * * [simplify]: Extracting #8: cost 78 inf + 91082
397.488 * * [simplify]: Extracting #9: cost 35 inf + 116463
397.578 * * [simplify]: Extracting #10: cost 4 inf + 150573
397.662 * * [simplify]: Extracting #11: cost 0 inf + 155237
397.745 * * [simplify]: Extracting #12: cost 0 inf + 154357
397.828 * * [simplify]: Extracting #13: cost 0 inf + 154237
397.896 * [simplify]: Simplified to (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* U U))))))
397.896 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* U U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
397.898 * * * * [progress]: [ 241 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
397.899 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
397.900 * * [simplify]: iters left: 6 (52 enodes)
397.932 * * [simplify]: iters left: 5 (272 enodes)
398.074 * * [simplify]: Extracting #0: cost 1 inf + 0
398.074 * * [simplify]: Extracting #1: cost 30 inf + 0
398.074 * * [simplify]: Extracting #2: cost 59 inf + 1
398.074 * * [simplify]: Extracting #3: cost 68 inf + 44
398.075 * * [simplify]: Extracting #4: cost 102 inf + 45
398.075 * * [simplify]: Extracting #5: cost 254 inf + 764
398.077 * * [simplify]: Extracting #6: cost 329 inf + 7580
398.086 * * [simplify]: Extracting #7: cost 190 inf + 48386
398.127 * * [simplify]: Extracting #8: cost 51 inf + 106526
398.184 * * [simplify]: Extracting #9: cost 34 inf + 118634
398.267 * * [simplify]: Extracting #10: cost 1 inf + 157437
398.369 * * [simplify]: Extracting #11: cost 0 inf + 159063
398.472 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* J (* 2 (cos (/ K 2))))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* U U)))))))
398.472 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* J (* 2 (cos (/ K 2))))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* U U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
398.474 * * * * [progress]: [ 242 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
398.474 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
398.475 * * [simplify]: iters left: 6 (50 enodes)
398.507 * * [simplify]: iters left: 5 (262 enodes)
398.646 * * [simplify]: Extracting #0: cost 1 inf + 0
398.646 * * [simplify]: Extracting #1: cost 30 inf + 0
398.647 * * [simplify]: Extracting #2: cost 59 inf + 1
398.647 * * [simplify]: Extracting #3: cost 68 inf + 44
398.648 * * [simplify]: Extracting #4: cost 102 inf + 45
398.649 * * [simplify]: Extracting #5: cost 246 inf + 377
398.652 * * [simplify]: Extracting #6: cost 336 inf + 4362
398.663 * * [simplify]: Extracting #7: cost 238 inf + 33552
398.692 * * [simplify]: Extracting #8: cost 96 inf + 91193
398.724 * * [simplify]: Extracting #9: cost 34 inf + 119647
398.790 * * [simplify]: Extracting #10: cost 18 inf + 135623
398.882 * * [simplify]: Extracting #11: cost 2 inf + 150775
398.948 * * [simplify]: Extracting #12: cost 0 inf + 152805
399.016 * [simplify]: Simplified to (/ (* (cos (/ K 2)) J) (/ (/ (* (sqrt (sqrt (+ (* (- 1 (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J))) (* (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) U) (/ U (* 2 (* (cos (/ K 2)) J)))) (+ (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* U U)) (+ (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))))) -2) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1))))
399.016 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (cos (/ K 2)) J) (/ (/ (* (sqrt (sqrt (+ (* (- 1 (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J))) (* (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) U) (/ U (* 2 (* (cos (/ K 2)) J)))) (+ (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* U U)) (+ (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))))) -2) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
399.018 * * * * [progress]: [ 243 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
399.019 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
399.020 * * [simplify]: iters left: 6 (52 enodes)
399.053 * * [simplify]: iters left: 5 (271 enodes)
399.151 * * [simplify]: Extracting #0: cost 1 inf + 0
399.151 * * [simplify]: Extracting #1: cost 30 inf + 0
399.152 * * [simplify]: Extracting #2: cost 59 inf + 1
399.152 * * [simplify]: Extracting #3: cost 68 inf + 44
399.152 * * [simplify]: Extracting #4: cost 101 inf + 45
399.153 * * [simplify]: Extracting #5: cost 253 inf + 764
399.154 * * [simplify]: Extracting #6: cost 323 inf + 8329
399.163 * * [simplify]: Extracting #7: cost 193 inf + 46720
399.215 * * [simplify]: Extracting #8: cost 54 inf + 104398
399.287 * * [simplify]: Extracting #9: cost 18 inf + 132117
399.384 * * [simplify]: Extracting #10: cost 1 inf + 150993
399.470 * * [simplify]: Extracting #11: cost 0 inf + 152139
399.522 * [simplify]: Simplified to (/ (* (/ (* (cos (/ K 2)) J) (/ (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* U (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)))) -2) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))
399.522 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (cos (/ K 2)) J) (/ (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* U (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)))) -2) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
399.523 * * * * [progress]: [ 244 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
399.524 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
399.524 * * [simplify]: iters left: 6 (51 enodes)
399.541 * * [simplify]: iters left: 5 (261 enodes)
399.612 * * [simplify]: Extracting #0: cost 1 inf + 0
399.612 * * [simplify]: Extracting #1: cost 30 inf + 0
399.612 * * [simplify]: Extracting #2: cost 59 inf + 1
399.612 * * [simplify]: Extracting #3: cost 68 inf + 44
399.612 * * [simplify]: Extracting #4: cost 100 inf + 45
399.613 * * [simplify]: Extracting #5: cost 234 inf + 764
399.614 * * [simplify]: Extracting #6: cost 320 inf + 5309
399.623 * * [simplify]: Extracting #7: cost 185 inf + 47657
399.649 * * [simplify]: Extracting #8: cost 98 inf + 84713
399.690 * * [simplify]: Extracting #9: cost 37 inf + 119376
399.755 * * [simplify]: Extracting #10: cost 23 inf + 130006
399.818 * * [simplify]: Extracting #11: cost 3 inf + 155237
399.904 * * [simplify]: Extracting #12: cost 0 inf + 158995
399.987 * * [simplify]: Extracting #13: cost 0 inf + 158875
400.070 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* U (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* U (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* 2 (* (cos (/ K 2)) J)))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* U (* (* U U) (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))))))
400.070 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* U (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* U (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* 2 (* (cos (/ K 2)) J)))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* U (* (* U U) (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
400.073 * * * * [progress]: [ 245 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
400.073 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
400.074 * * [simplify]: iters left: 6 (53 enodes)
400.095 * * [simplify]: iters left: 5 (270 enodes)
400.203 * * [simplify]: Extracting #0: cost 1 inf + 0
400.203 * * [simplify]: Extracting #1: cost 30 inf + 0
400.203 * * [simplify]: Extracting #2: cost 59 inf + 1
400.203 * * [simplify]: Extracting #3: cost 68 inf + 44
400.204 * * [simplify]: Extracting #4: cost 98 inf + 45
400.205 * * [simplify]: Extracting #5: cost 241 inf + 703
400.208 * * [simplify]: Extracting #6: cost 315 inf + 5192
400.225 * * [simplify]: Extracting #7: cost 169 inf + 54024
400.258 * * [simplify]: Extracting #8: cost 85 inf + 86081
400.293 * * [simplify]: Extracting #9: cost 38 inf + 107649
400.349 * * [simplify]: Extracting #10: cost 22 inf + 122151
400.402 * * [simplify]: Extracting #11: cost 7 inf + 136158
400.496 * * [simplify]: Extracting #12: cost 0 inf + 145995
400.593 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J)) 2)))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* U U) U))))))
400.593 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J)) 2)))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* U U) U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
400.594 * * * * [progress]: [ 246 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
400.595 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
400.596 * * [simplify]: iters left: 6 (50 enodes)
400.629 * * [simplify]: iters left: 5 (262 enodes)
400.743 * * [simplify]: Extracting #0: cost 1 inf + 0
400.743 * * [simplify]: Extracting #1: cost 30 inf + 0
400.744 * * [simplify]: Extracting #2: cost 59 inf + 1
400.744 * * [simplify]: Extracting #3: cost 68 inf + 44
400.744 * * [simplify]: Extracting #4: cost 103 inf + 45
400.745 * * [simplify]: Extracting #5: cost 251 inf + 377
400.746 * * [simplify]: Extracting #6: cost 328 inf + 6815
400.756 * * [simplify]: Extracting #7: cost 194 inf + 50284
400.797 * * [simplify]: Extracting #8: cost 53 inf + 108104
400.842 * * [simplify]: Extracting #9: cost 29 inf + 126395
400.909 * * [simplify]: Extracting #10: cost 2 inf + 156206
400.985 * * [simplify]: Extracting #11: cost 0 inf + 159018
401.065 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (* U (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1))))))))
401.065 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (* U (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
401.067 * * * * [progress]: [ 247 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
401.067 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
401.068 * * [simplify]: iters left: 6 (52 enodes)
401.088 * * [simplify]: iters left: 5 (272 enodes)
401.201 * * [simplify]: Extracting #0: cost 1 inf + 0
401.201 * * [simplify]: Extracting #1: cost 30 inf + 0
401.201 * * [simplify]: Extracting #2: cost 59 inf + 1
401.201 * * [simplify]: Extracting #3: cost 68 inf + 44
401.202 * * [simplify]: Extracting #4: cost 100 inf + 45
401.203 * * [simplify]: Extracting #5: cost 246 inf + 764
401.207 * * [simplify]: Extracting #6: cost 313 inf + 6998
401.221 * * [simplify]: Extracting #7: cost 178 inf + 49349
401.248 * * [simplify]: Extracting #8: cost 81 inf + 93343
401.295 * * [simplify]: Extracting #9: cost 20 inf + 132895
401.383 * * [simplify]: Extracting #10: cost 5 inf + 144496
401.457 * * [simplify]: Extracting #11: cost 0 inf + 149292
401.541 * * [simplify]: Extracting #12: cost 0 inf + 147892
401.607 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* 2 (* (cos (/ K 2)) J))) (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (* U U) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))))))) -2)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* U U))))))
401.607 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* 2 (* (cos (/ K 2)) J))) (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (* U U) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))))))) -2)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* U U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
401.609 * * * * [progress]: [ 248 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
401.609 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
401.610 * * [simplify]: iters left: 6 (50 enodes)
401.642 * * [simplify]: iters left: 5 (262 enodes)
401.762 * * [simplify]: Extracting #0: cost 1 inf + 0
401.762 * * [simplify]: Extracting #1: cost 30 inf + 0
401.762 * * [simplify]: Extracting #2: cost 59 inf + 1
401.763 * * [simplify]: Extracting #3: cost 69 inf + 2
401.763 * * [simplify]: Extracting #4: cost 101 inf + 45
401.764 * * [simplify]: Extracting #5: cost 240 inf + 622
401.767 * * [simplify]: Extracting #6: cost 335 inf + 4181
401.773 * * [simplify]: Extracting #7: cost 241 inf + 32650
401.790 * * [simplify]: Extracting #8: cost 102 inf + 88799
401.849 * * [simplify]: Extracting #9: cost 37 inf + 124969
401.921 * * [simplify]: Extracting #10: cost 3 inf + 159771
401.991 * * [simplify]: Extracting #11: cost 0 inf + 160313
402.096 * * [simplify]: Extracting #12: cost 0 inf + 159851
402.167 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* 2 (* (cos (/ K 2)) J))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) U)) (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (* (* U U) U) (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)))))))
402.167 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* 2 (* (cos (/ K 2)) J))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) U)) (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (* (* U U) U) (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
402.169 * * * * [progress]: [ 249 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
402.170 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
402.171 * * [simplify]: iters left: 6 (52 enodes)
402.197 * * [simplify]: iters left: 5 (271 enodes)
402.304 * * [simplify]: Extracting #0: cost 1 inf + 0
402.304 * * [simplify]: Extracting #1: cost 30 inf + 0
402.304 * * [simplify]: Extracting #2: cost 59 inf + 1
402.304 * * [simplify]: Extracting #3: cost 68 inf + 44
402.305 * * [simplify]: Extracting #4: cost 100 inf + 45
402.306 * * [simplify]: Extracting #5: cost 245 inf + 764
402.309 * * [simplify]: Extracting #6: cost 306 inf + 8910
402.328 * * [simplify]: Extracting #7: cost 159 inf + 53410
402.367 * * [simplify]: Extracting #8: cost 87 inf + 81486
402.408 * * [simplify]: Extracting #9: cost 38 inf + 107267
402.466 * * [simplify]: Extracting #10: cost 7 inf + 140737
402.558 * * [simplify]: Extracting #11: cost 0 inf + 150476
402.617 * * [simplify]: Extracting #12: cost 0 inf + 149916
402.703 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (cos (/ K 2))) (* 2 J)) (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) U) (* (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* U (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))))))))
402.704 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (cos (/ K 2))) (* 2 J)) (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) U) (* (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* U (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
402.705 * * * * [progress]: [ 250 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
402.705 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
402.705 * * [simplify]: iters left: 6 (51 enodes)
402.722 * * [simplify]: iters left: 5 (261 enodes)
402.818 * * [simplify]: Extracting #0: cost 1 inf + 0
402.818 * * [simplify]: Extracting #1: cost 30 inf + 0
402.818 * * [simplify]: Extracting #2: cost 59 inf + 1
402.818 * * [simplify]: Extracting #3: cost 68 inf + 44
402.819 * * [simplify]: Extracting #4: cost 102 inf + 45
402.819 * * [simplify]: Extracting #5: cost 237 inf + 764
402.821 * * [simplify]: Extracting #6: cost 325 inf + 5813
402.829 * * [simplify]: Extracting #7: cost 203 inf + 44935
402.869 * * [simplify]: Extracting #8: cost 72 inf + 96778
402.902 * * [simplify]: Extracting #9: cost 38 inf + 117026
402.964 * * [simplify]: Extracting #10: cost 8 inf + 149111
403.034 * * [simplify]: Extracting #11: cost 0 inf + 160996
403.112 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (cos (/ K 2)) (* (* 2 J) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) (+ (* (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) U)) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) U)))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (* U (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (* U U) (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1))))))))
403.113 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (cos (/ K 2)) (* (* 2 J) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) (+ (* (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) U)) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) U)))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (* U (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (* U U) (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
403.115 * * * * [progress]: [ 251 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
403.115 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
403.116 * * [simplify]: iters left: 6 (53 enodes)
403.151 * * [simplify]: iters left: 5 (270 enodes)
403.253 * * [simplify]: Extracting #0: cost 1 inf + 0
403.253 * * [simplify]: Extracting #1: cost 30 inf + 0
403.253 * * [simplify]: Extracting #2: cost 59 inf + 1
403.253 * * [simplify]: Extracting #3: cost 69 inf + 2
403.253 * * [simplify]: Extracting #4: cost 97 inf + 45
403.254 * * [simplify]: Extracting #5: cost 238 inf + 478
403.255 * * [simplify]: Extracting #6: cost 302 inf + 6345
403.263 * * [simplify]: Extracting #7: cost 175 inf + 47204
403.293 * * [simplify]: Extracting #8: cost 75 inf + 86842
403.326 * * [simplify]: Extracting #9: cost 34 inf + 109202
403.399 * * [simplify]: Extracting #10: cost 17 inf + 126341
403.458 * * [simplify]: Extracting #11: cost 6 inf + 138743
403.551 * * [simplify]: Extracting #12: cost 0 inf + 146537
403.620 * * [simplify]: Extracting #13: cost 0 inf + 146497
403.709 * [simplify]: Simplified to (/ (* (/ (* (cos (/ K 2)) J) (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (* (* U U) U) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)))))) (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)))) -2) (sqrt (sqrt (+ (+ (* (* U (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* U (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* 2 (* (cos (/ K 2)) J)))))))
403.709 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (cos (/ K 2)) J) (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (* (* U U) U) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)))))) (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)))) -2) (sqrt (sqrt (+ (+ (* (* U (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* U (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* 2 (* (cos (/ K 2)) J))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
403.711 * * * * [progress]: [ 252 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
403.712 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3))))))
403.712 * * [simplify]: iters left: 6 (51 enodes)
403.741 * * [simplify]: iters left: 5 (260 enodes)
403.820 * * [simplify]: Extracting #0: cost 1 inf + 0
403.820 * * [simplify]: Extracting #1: cost 30 inf + 0
403.821 * * [simplify]: Extracting #2: cost 59 inf + 1
403.821 * * [simplify]: Extracting #3: cost 68 inf + 44
403.821 * * [simplify]: Extracting #4: cost 100 inf + 45
403.823 * * [simplify]: Extracting #5: cost 245 inf + 561
403.826 * * [simplify]: Extracting #6: cost 299 inf + 8158
403.843 * * [simplify]: Extracting #7: cost 162 inf + 56710
403.863 * * [simplify]: Extracting #8: cost 67 inf + 100500
403.909 * * [simplify]: Extracting #9: cost 21 inf + 128270
403.967 * * [simplify]: Extracting #10: cost 1 inf + 152524
404.051 * * [simplify]: Extracting #11: cost 0 inf + 148101
404.148 * * [simplify]: Extracting #12: cost 0 inf + 147770
404.245 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)) (sqrt (sqrt (+ (* (* (- 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (- 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (- 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (* U (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (* U U) (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))))))))
404.245 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)) (sqrt (sqrt (+ (* (* (- 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (- 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (- 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (* U (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (* U U) (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
404.247 * * * * [progress]: [ 253 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
404.248 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
404.249 * * [simplify]: iters left: 6 (51 enodes)
404.283 * * [simplify]: iters left: 5 (268 enodes)
404.408 * * [simplify]: Extracting #0: cost 1 inf + 0
404.408 * * [simplify]: Extracting #1: cost 30 inf + 0
404.408 * * [simplify]: Extracting #2: cost 59 inf + 1
404.408 * * [simplify]: Extracting #3: cost 68 inf + 44
404.408 * * [simplify]: Extracting #4: cost 98 inf + 45
404.409 * * [simplify]: Extracting #5: cost 241 inf + 335
404.410 * * [simplify]: Extracting #6: cost 293 inf + 6089
404.425 * * [simplify]: Extracting #7: cost 124 inf + 60562
404.475 * * [simplify]: Extracting #8: cost 43 inf + 100049
404.525 * * [simplify]: Extracting #9: cost 6 inf + 130222
404.598 * * [simplify]: Extracting #10: cost 0 inf + 135406
404.690 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (* (* U U) U) (+ 1 (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (- (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (- 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (- 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))))
404.690 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (* (* U U) U) (+ 1 (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (- (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (- 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (- 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
404.692 * * * * [progress]: [ 254 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
404.693 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
404.694 * * [simplify]: iters left: 6 (53 enodes)
404.720 * * [simplify]: iters left: 5 (276 enodes)
404.808 * * [simplify]: Extracting #0: cost 1 inf + 0
404.808 * * [simplify]: Extracting #1: cost 30 inf + 0
404.808 * * [simplify]: Extracting #2: cost 59 inf + 1
404.808 * * [simplify]: Extracting #3: cost 69 inf + 2
404.809 * * [simplify]: Extracting #4: cost 102 inf + 45
404.810 * * [simplify]: Extracting #5: cost 252 inf + 335
404.813 * * [simplify]: Extracting #6: cost 333 inf + 5995
404.831 * * [simplify]: Extracting #7: cost 196 inf + 47783
404.857 * * [simplify]: Extracting #8: cost 64 inf + 101020
404.904 * * [simplify]: Extracting #9: cost 26 inf + 127543
404.953 * * [simplify]: Extracting #10: cost 22 inf + 128609
405.024 * * [simplify]: Extracting #11: cost 18 inf + 133190
405.106 * * [simplify]: Extracting #12: cost 4 inf + 150188
405.200 * * [simplify]: Extracting #13: cost 0 inf + 155932
405.295 * [simplify]: Simplified to (/ (/ -2 (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* U U))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* U U)))))) (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (+ (* (* (* U U) (* U U)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* U U) (* U U)))))))
405.295 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ -2 (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* U U))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* U U)))))) (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (+ (* (* (* U U) (* U U)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* U U) (* U U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
405.297 * * * * [progress]: [ 255 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
405.298 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
405.299 * * [simplify]: iters left: 6 (46 enodes)
405.329 * * [simplify]: iters left: 5 (233 enodes)
405.449 * * [simplify]: Extracting #0: cost 1 inf + 0
405.449 * * [simplify]: Extracting #1: cost 30 inf + 0
405.450 * * [simplify]: Extracting #2: cost 59 inf + 1
405.450 * * [simplify]: Extracting #3: cost 68 inf + 44
405.450 * * [simplify]: Extracting #4: cost 90 inf + 45
405.451 * * [simplify]: Extracting #5: cost 202 inf + 478
405.455 * * [simplify]: Extracting #6: cost 277 inf + 5526
405.477 * * [simplify]: Extracting #7: cost 98 inf + 66796
405.528 * * [simplify]: Extracting #8: cost 19 inf + 106795
405.571 * * [simplify]: Extracting #9: cost 4 inf + 123411
405.615 * * [simplify]: Extracting #10: cost 0 inf + 128355
405.663 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (* (* (* 2 (cos (/ K 2))) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (* U U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))))))) (sqrt (sqrt (+ (* (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* U U) (* (* U U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))))))))
405.663 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (* (* (* 2 (cos (/ K 2))) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (* U U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))))))) (sqrt (sqrt (+ (* (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* U U) (* (* U U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
405.664 * * * * [progress]: [ 256 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
405.665 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
405.665 * * [simplify]: iters left: 6 (53 enodes)
405.683 * * [simplify]: iters left: 5 (273 enodes)
405.790 * * [simplify]: Extracting #0: cost 1 inf + 0
405.790 * * [simplify]: Extracting #1: cost 30 inf + 0
405.790 * * [simplify]: Extracting #2: cost 59 inf + 1
405.791 * * [simplify]: Extracting #3: cost 69 inf + 2
405.791 * * [simplify]: Extracting #4: cost 107 inf + 45
405.793 * * [simplify]: Extracting #5: cost 297 inf + 437
405.797 * * [simplify]: Extracting #6: cost 338 inf + 9530
405.816 * * [simplify]: Extracting #7: cost 202 inf + 54079
406.256 * * [simplify]: Extracting #8: cost 53 inf + 114902
406.287 * * [simplify]: Extracting #9: cost 38 inf + 124406
406.357 * * [simplify]: Extracting #10: cost 21 inf + 141956
406.428 * * [simplify]: Extracting #11: cost 2 inf + 165444
406.504 * * [simplify]: Extracting #12: cost 0 inf + 167615
406.598 * [simplify]: Simplified to (/ (/ (* (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* U U)))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* U U))))))
406.598 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* U U)))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* U U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
406.599 * * * * [progress]: [ 257 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
406.599 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
406.600 * * [simplify]: iters left: 6 (46 enodes)
406.614 * * [simplify]: iters left: 5 (228 enodes)
406.714 * * [simplify]: Extracting #0: cost 1 inf + 0
406.714 * * [simplify]: Extracting #1: cost 24 inf + 0
406.714 * * [simplify]: Extracting #2: cost 51 inf + 1
406.715 * * [simplify]: Extracting #3: cost 60 inf + 2
406.715 * * [simplify]: Extracting #4: cost 120 inf + 45
406.717 * * [simplify]: Extracting #5: cost 273 inf + 773
406.721 * * [simplify]: Extracting #6: cost 230 inf + 10996
406.744 * * [simplify]: Extracting #7: cost 70 inf + 61738
406.791 * * [simplify]: Extracting #8: cost 15 inf + 93997
406.843 * * [simplify]: Extracting #9: cost 1 inf + 106836
406.874 * * [simplify]: Extracting #10: cost 0 inf + 106782
406.925 * * [simplify]: Extracting #11: cost 0 inf + 106702
406.961 * [simplify]: Simplified to (/ -2 (/ (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* U (* (* U U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1)))))) (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J))))
406.961 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ -2 (/ (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* U (* (* U U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1)))))) (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
406.963 * * * * [progress]: [ 258 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
406.963 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
406.964 * * [simplify]: iters left: 6 (54 enodes)
406.998 * * [simplify]: iters left: 5 (272 enodes)
407.073 * * [simplify]: Extracting #0: cost 1 inf + 0
407.073 * * [simplify]: Extracting #1: cost 30 inf + 0
407.073 * * [simplify]: Extracting #2: cost 59 inf + 1
407.073 * * [simplify]: Extracting #3: cost 68 inf + 44
407.074 * * [simplify]: Extracting #4: cost 105 inf + 45
407.074 * * [simplify]: Extracting #5: cost 286 inf + 335
407.078 * * [simplify]: Extracting #6: cost 337 inf + 4878
407.092 * * [simplify]: Extracting #7: cost 220 inf + 40444
407.134 * * [simplify]: Extracting #8: cost 78 inf + 97483
407.181 * * [simplify]: Extracting #9: cost 38 inf + 118341
407.236 * * [simplify]: Extracting #10: cost 17 inf + 139113
407.307 * * [simplify]: Extracting #11: cost 3 inf + 156513
407.398 * * [simplify]: Extracting #12: cost 0 inf + 160871
407.467 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) U) (* (* U U) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (sqrt (sqrt (+ (* (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* U U) U)) (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))))))))
407.467 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) U) (* (* U U) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (sqrt (sqrt (+ (* (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* U U) U)) (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
407.468 * * * * [progress]: [ 259 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
407.469 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
407.470 * * [simplify]: iters left: 6 (47 enodes)
407.488 * * [simplify]: iters left: 5 (229 enodes)
407.577 * * [simplify]: Extracting #0: cost 1 inf + 0
407.577 * * [simplify]: Extracting #1: cost 23 inf + 0
407.577 * * [simplify]: Extracting #2: cost 50 inf + 1
407.578 * * [simplify]: Extracting #3: cost 59 inf + 2
407.578 * * [simplify]: Extracting #4: cost 118 inf + 45
407.580 * * [simplify]: Extracting #5: cost 266 inf + 663
407.584 * * [simplify]: Extracting #6: cost 225 inf + 10659
407.604 * * [simplify]: Extracting #7: cost 75 inf + 58782
407.643 * * [simplify]: Extracting #8: cost 21 inf + 86275
407.678 * * [simplify]: Extracting #9: cost 3 inf + 103481
407.728 * * [simplify]: Extracting #10: cost 0 inf + 104325
407.758 * * [simplify]: Extracting #11: cost 0 inf + 103932
407.815 * [simplify]: Simplified to (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1))) (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* U U) U)))))
407.815 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1))) (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* U U) U))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
407.817 * * * * [progress]: [ 260 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
407.817 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
407.818 * * [simplify]: iters left: 6 (51 enodes)
407.835 * * [simplify]: iters left: 5 (265 enodes)
407.925 * * [simplify]: Extracting #0: cost 1 inf + 0
407.925 * * [simplify]: Extracting #1: cost 30 inf + 0
407.925 * * [simplify]: Extracting #2: cost 59 inf + 1
407.925 * * [simplify]: Extracting #3: cost 69 inf + 2
407.926 * * [simplify]: Extracting #4: cost 101 inf + 45
407.927 * * [simplify]: Extracting #5: cost 253 inf + 335
407.931 * * [simplify]: Extracting #6: cost 315 inf + 7242
407.953 * * [simplify]: Extracting #7: cost 147 inf + 63372
408.004 * * [simplify]: Extracting #8: cost 56 inf + 101641
408.035 * * [simplify]: Extracting #9: cost 30 inf + 119957
408.109 * * [simplify]: Extracting #10: cost 2 inf + 153075
408.168 * * [simplify]: Extracting #11: cost 0 inf + 156127
408.233 * [simplify]: Simplified to (/ (* (/ (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (/ (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* U U) U))))) (* (cos (/ K 2)) J))) -2) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (* (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* U U) U))))))
408.233 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (/ (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* U U) U))))) (* (cos (/ K 2)) J))) -2) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (* (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* U U) U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
408.234 * * * * [progress]: [ 261 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
408.235 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
408.235 * * [simplify]: iters left: 6 (39 enodes)
408.247 * * [simplify]: iters left: 5 (193 enodes)
408.317 * * [simplify]: Extracting #0: cost 1 inf + 0
408.317 * * [simplify]: Extracting #1: cost 24 inf + 0
408.318 * * [simplify]: Extracting #2: cost 51 inf + 1
408.318 * * [simplify]: Extracting #3: cost 60 inf + 2
408.318 * * [simplify]: Extracting #4: cost 115 inf + 45
408.320 * * [simplify]: Extracting #5: cost 250 inf + 806
408.323 * * [simplify]: Extracting #6: cost 220 inf + 9322
408.340 * * [simplify]: Extracting #7: cost 63 inf + 59278
408.371 * * [simplify]: Extracting #8: cost 33 inf + 70119
408.407 * * [simplify]: Extracting #9: cost 23 inf + 78294
408.445 * * [simplify]: Extracting #10: cost 3 inf + 97084
408.479 * * [simplify]: Extracting #11: cost 0 inf + 100081
408.515 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)) (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* 2 (* (cos (/ K 2)) J))) (* (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* U U) U))))) -2)
408.515 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)) (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* 2 (* (cos (/ K 2)) J))) (* (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* U U) U))))) -2) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
408.516 * * * * [progress]: [ 262 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
408.516 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
408.517 * * [simplify]: iters left: 6 (52 enodes)
408.547 * * [simplify]: iters left: 5 (273 enodes)
408.663 * * [simplify]: Extracting #0: cost 1 inf + 0
408.663 * * [simplify]: Extracting #1: cost 30 inf + 0
408.663 * * [simplify]: Extracting #2: cost 59 inf + 1
408.664 * * [simplify]: Extracting #3: cost 69 inf + 2
408.664 * * [simplify]: Extracting #4: cost 103 inf + 45
408.666 * * [simplify]: Extracting #5: cost 255 inf + 622
408.669 * * [simplify]: Extracting #6: cost 337 inf + 5816
408.685 * * [simplify]: Extracting #7: cost 191 inf + 53056
408.719 * * [simplify]: Extracting #8: cost 45 inf + 113563
408.764 * * [simplify]: Extracting #9: cost 19 inf + 134340
408.847 * * [simplify]: Extracting #10: cost 5 inf + 151301
408.918 * * [simplify]: Extracting #11: cost 0 inf + 158588
409.001 * [simplify]: Simplified to (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* U U))))) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* 2 (* (cos (/ K 2)) J))) (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))))) (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1))))
409.001 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* U U))))) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* 2 (* (cos (/ K 2)) J))) (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))))) (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
409.002 * * * * [progress]: [ 263 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
409.002 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
409.003 * * [simplify]: iters left: 6 (45 enodes)
409.026 * * [simplify]: iters left: 5 (231 enodes)
409.150 * * [simplify]: Extracting #0: cost 1 inf + 0
409.151 * * [simplify]: Extracting #1: cost 30 inf + 0
409.151 * * [simplify]: Extracting #2: cost 59 inf + 1
409.151 * * [simplify]: Extracting #3: cost 69 inf + 2
409.152 * * [simplify]: Extracting #4: cost 90 inf + 45
409.153 * * [simplify]: Extracting #5: cost 210 inf + 765
409.156 * * [simplify]: Extracting #6: cost 290 inf + 5240
409.180 * * [simplify]: Extracting #7: cost 91 inf + 69972
409.231 * * [simplify]: Extracting #8: cost 21 inf + 110482
409.280 * * [simplify]: Extracting #9: cost 1 inf + 132240
409.344 * * [simplify]: Extracting #10: cost 0 inf + 132466
409.389 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))))))) (sqrt (sqrt (+ (* (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (cos (/ K 2))) J)) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) U))))))
409.389 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))))))) (sqrt (sqrt (+ (* (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (cos (/ K 2))) J)) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
409.390 * * * * [progress]: [ 264 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
409.391 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
409.391 * * [simplify]: iters left: 6 (53 enodes)
409.423 * * [simplify]: iters left: 5 (271 enodes)
409.524 * * [simplify]: Extracting #0: cost 1 inf + 0
409.525 * * [simplify]: Extracting #1: cost 30 inf + 0
409.525 * * [simplify]: Extracting #2: cost 59 inf + 1
409.525 * * [simplify]: Extracting #3: cost 69 inf + 2
409.525 * * [simplify]: Extracting #4: cost 102 inf + 45
409.526 * * [simplify]: Extracting #5: cost 246 inf + 519
409.527 * * [simplify]: Extracting #6: cost 313 inf + 6003
409.537 * * [simplify]: Extracting #7: cost 160 inf + 56308
409.562 * * [simplify]: Extracting #8: cost 63 inf + 98861
409.621 * * [simplify]: Extracting #9: cost 29 inf + 121712
409.681 * * [simplify]: Extracting #10: cost 22 inf + 125818
409.726 * * [simplify]: Extracting #11: cost 20 inf + 127246
409.769 * * [simplify]: Extracting #12: cost 5 inf + 144992
409.832 * * [simplify]: Extracting #13: cost 0 inf + 151999
409.899 * [simplify]: Simplified to (/ (/ -2 (/ (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* 2 (* (cos (/ K 2)) J))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* U (* U (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))))) (* (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) J)))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (+ 1 (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U)))))))
409.899 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ -2 (/ (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* 2 (* (cos (/ K 2)) J))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* U (* U (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))))) (* (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) J)))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (+ 1 (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
409.901 * * * * [progress]: [ 265 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
409.901 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
409.902 * * [simplify]: iters left: 6 (46 enodes)
409.917 * * [simplify]: iters left: 5 (229 enodes)
409.993 * * [simplify]: Extracting #0: cost 1 inf + 0
409.993 * * [simplify]: Extracting #1: cost 30 inf + 0
409.994 * * [simplify]: Extracting #2: cost 59 inf + 1
409.994 * * [simplify]: Extracting #3: cost 69 inf + 2
409.994 * * [simplify]: Extracting #4: cost 90 inf + 45
409.995 * * [simplify]: Extracting #5: cost 202 inf + 335
409.998 * * [simplify]: Extracting #6: cost 276 inf + 4674
410.011 * * [simplify]: Extracting #7: cost 129 inf + 49325
410.033 * * [simplify]: Extracting #8: cost 32 inf + 94831
410.084 * * [simplify]: Extracting #9: cost 21 inf + 102847
410.146 * * [simplify]: Extracting #10: cost 13 inf + 109822
410.206 * * [simplify]: Extracting #11: cost 0 inf + 125769
410.268 * [simplify]: Simplified to (/ (/ -2 (/ (sqrt (sqrt (+ (* (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 J) (cos (/ K 2)))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (* (* U U) (/ (/ U 2) (* (cos (/ K 2)) J)))) U)))) (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)))) (sqrt (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* U U)) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J))))))
410.268 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ -2 (/ (sqrt (sqrt (+ (* (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 J) (cos (/ K 2)))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (* (* U U) (/ (/ U 2) (* (cos (/ K 2)) J)))) U)))) (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)))) (sqrt (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* U U)) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
410.270 * * * * [progress]: [ 266 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
410.270 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
410.271 * * [simplify]: iters left: 6 (53 enodes)
410.305 * * [simplify]: iters left: 5 (269 enodes)
410.419 * * [simplify]: Extracting #0: cost 1 inf + 0
410.420 * * [simplify]: Extracting #1: cost 30 inf + 0
410.420 * * [simplify]: Extracting #2: cost 59 inf + 1
410.420 * * [simplify]: Extracting #3: cost 68 inf + 44
410.420 * * [simplify]: Extracting #4: cost 107 inf + 45
410.421 * * [simplify]: Extracting #5: cost 282 inf + 561
410.426 * * [simplify]: Extracting #6: cost 330 inf + 6084
410.434 * * [simplify]: Extracting #7: cost 197 inf + 47545
410.471 * * [simplify]: Extracting #8: cost 62 inf + 103507
410.530 * * [simplify]: Extracting #9: cost 35 inf + 119859
410.573 * * [simplify]: Extracting #10: cost 18 inf + 137371
410.655 * * [simplify]: Extracting #11: cost 4 inf + 153649
410.728 * * [simplify]: Extracting #12: cost 0 inf + 159353
410.805 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* U U))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) U) (* (* U U) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))
410.805 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* U U))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) U) (* (* U U) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
410.806 * * * * [progress]: [ 267 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
410.807 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
410.808 * * [simplify]: iters left: 6 (45 enodes)
410.836 * * [simplify]: iters left: 5 (212 enodes)
410.906 * * [simplify]: Extracting #0: cost 1 inf + 0
410.906 * * [simplify]: Extracting #1: cost 24 inf + 0
410.906 * * [simplify]: Extracting #2: cost 51 inf + 1
410.907 * * [simplify]: Extracting #3: cost 60 inf + 2
410.907 * * [simplify]: Extracting #4: cost 116 inf + 45
410.909 * * [simplify]: Extracting #5: cost 254 inf + 785
410.913 * * [simplify]: Extracting #6: cost 210 inf + 12694
410.934 * * [simplify]: Extracting #7: cost 73 inf + 56786
410.959 * * [simplify]: Extracting #8: cost 26 inf + 78840
410.988 * * [simplify]: Extracting #9: cost 11 inf + 93254
411.036 * * [simplify]: Extracting #10: cost 0 inf + 104215
411.066 * * [simplify]: Extracting #11: cost 0 inf + 104175
411.119 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) U))))) -2)
411.119 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) U))))) -2) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
411.120 * * * * [progress]: [ 268 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
411.120 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
411.121 * * [simplify]: iters left: 6 (53 enodes)
411.138 * * [simplify]: iters left: 5 (272 enodes)
411.228 * * [simplify]: Extracting #0: cost 1 inf + 0
411.228 * * [simplify]: Extracting #1: cost 30 inf + 0
411.228 * * [simplify]: Extracting #2: cost 59 inf + 1
411.229 * * [simplify]: Extracting #3: cost 68 inf + 44
411.229 * * [simplify]: Extracting #4: cost 102 inf + 45
411.230 * * [simplify]: Extracting #5: cost 247 inf + 519
411.231 * * [simplify]: Extracting #6: cost 320 inf + 5672
411.242 * * [simplify]: Extracting #7: cost 164 inf + 58416
411.280 * * [simplify]: Extracting #8: cost 60 inf + 101041
411.320 * * [simplify]: Extracting #9: cost 23 inf + 125641
411.371 * * [simplify]: Extracting #10: cost 17 inf + 131755
411.418 * * [simplify]: Extracting #11: cost 6 inf + 144196
411.514 * * [simplify]: Extracting #12: cost 0 inf + 152630
411.601 * [simplify]: Simplified to (/ (/ (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (/ (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (* U (* U (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)))))))) (* (* (cos (/ K 2)) J) -2))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) U) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))
411.601 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (/ (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (* U (* U (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)))))))) (* (* (cos (/ K 2)) J) -2))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) U) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
411.602 * * * * [progress]: [ 269 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
411.602 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
411.603 * * [simplify]: iters left: 6 (46 enodes)
411.618 * * [simplify]: iters left: 5 (230 enodes)
411.703 * * [simplify]: Extracting #0: cost 1 inf + 0
411.703 * * [simplify]: Extracting #1: cost 30 inf + 0
411.703 * * [simplify]: Extracting #2: cost 59 inf + 1
411.703 * * [simplify]: Extracting #3: cost 69 inf + 2
411.703 * * [simplify]: Extracting #4: cost 90 inf + 45
411.704 * * [simplify]: Extracting #5: cost 203 inf + 520
411.705 * * [simplify]: Extracting #6: cost 291 inf + 3128
411.715 * * [simplify]: Extracting #7: cost 112 inf + 57806
411.751 * * [simplify]: Extracting #8: cost 31 inf + 97087
411.780 * * [simplify]: Extracting #9: cost 13 inf + 113164
411.859 * * [simplify]: Extracting #10: cost 1 inf + 127684
411.910 * * [simplify]: Extracting #11: cost 0 inf + 129032
411.981 * [simplify]: Simplified to (/ (/ -2 (/ (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (* (* U U) U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1)))))) (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)))) (sqrt (sqrt (+ (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) U) U) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) U) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) U))) (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))
411.981 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ -2 (/ (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (* (* U U) U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1)))))) (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)))) (sqrt (sqrt (+ (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) U) U) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) U) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) U))) (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
411.983 * * * * [progress]: [ 270 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
411.984 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
411.985 * * [simplify]: iters left: 6 (53 enodes)
412.018 * * [simplify]: iters left: 5 (272 enodes)
412.105 * * [simplify]: Extracting #0: cost 1 inf + 0
412.105 * * [simplify]: Extracting #1: cost 30 inf + 0
412.105 * * [simplify]: Extracting #2: cost 59 inf + 1
412.105 * * [simplify]: Extracting #3: cost 69 inf + 2
412.106 * * [simplify]: Extracting #4: cost 102 inf + 45
412.109 * * [simplify]: Extracting #5: cost 246 inf + 805
412.111 * * [simplify]: Extracting #6: cost 322 inf + 6708
412.121 * * [simplify]: Extracting #7: cost 167 inf + 56673
412.166 * * [simplify]: Extracting #8: cost 55 inf + 105121
412.233 * * [simplify]: Extracting #9: cost 20 inf + 130293
412.309 * * [simplify]: Extracting #10: cost 8 inf + 143886
412.367 * * [simplify]: Extracting #11: cost 0 inf + 154619
412.450 * * [simplify]: Extracting #12: cost 0 inf + 154460
412.515 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (* U U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))) -2)) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J)) (* (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))))
412.515 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (* U U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))) -2)) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J)) (* (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
412.517 * * * * [progress]: [ 271 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
412.517 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
412.518 * * [simplify]: iters left: 6 (46 enodes)
412.543 * * [simplify]: iters left: 5 (230 enodes)
412.621 * * [simplify]: Extracting #0: cost 1 inf + 0
412.622 * * [simplify]: Extracting #1: cost 30 inf + 0
412.622 * * [simplify]: Extracting #2: cost 59 inf + 1
412.622 * * [simplify]: Extracting #3: cost 68 inf + 44
412.622 * * [simplify]: Extracting #4: cost 90 inf + 45
412.623 * * [simplify]: Extracting #5: cost 203 inf + 479
412.624 * * [simplify]: Extracting #6: cost 291 inf + 2465
412.630 * * [simplify]: Extracting #7: cost 178 inf + 40820
412.651 * * [simplify]: Extracting #8: cost 65 inf + 76772
412.682 * * [simplify]: Extracting #9: cost 34 inf + 92600
412.719 * * [simplify]: Extracting #10: cost 21 inf + 104174
412.780 * * [simplify]: Extracting #11: cost 15 inf + 110253
412.853 * * [simplify]: Extracting #12: cost 2 inf + 125599
412.929 * * [simplify]: Extracting #13: cost 0 inf + 128373
412.977 * [simplify]: Simplified to (/ (/ -2 (/ (sqrt (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* U U) U))))) (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)))) (sqrt (sqrt (+ (* (* (* U U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J))))))
412.978 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ -2 (/ (sqrt (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* U U) U))))) (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)))) (sqrt (sqrt (+ (* (* (* U U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
412.979 * * * * [progress]: [ 272 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
412.980 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
412.981 * * [simplify]: iters left: 6 (52 enodes)
413.006 * * [simplify]: iters left: 5 (274 enodes)
413.108 * * [simplify]: Extracting #0: cost 1 inf + 0
413.109 * * [simplify]: Extracting #1: cost 30 inf + 0
413.109 * * [simplify]: Extracting #2: cost 59 inf + 1
413.109 * * [simplify]: Extracting #3: cost 68 inf + 44
413.109 * * [simplify]: Extracting #4: cost 103 inf + 45
413.110 * * [simplify]: Extracting #5: cost 259 inf + 437
413.112 * * [simplify]: Extracting #6: cost 342 inf + 5611
413.121 * * [simplify]: Extracting #7: cost 186 inf + 55243
413.167 * * [simplify]: Extracting #8: cost 41 inf + 119033
413.236 * * [simplify]: Extracting #9: cost 16 inf + 140624
413.305 * * [simplify]: Extracting #10: cost 4 inf + 153862
413.362 * * [simplify]: Extracting #11: cost 0 inf + 158875
413.451 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) U))))))
413.451 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
413.453 * * * * [progress]: [ 273 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
413.454 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
413.454 * * [simplify]: iters left: 6 (45 enodes)
413.484 * * [simplify]: iters left: 5 (231 enodes)
413.610 * * [simplify]: Extracting #0: cost 1 inf + 0
413.610 * * [simplify]: Extracting #1: cost 30 inf + 0
413.611 * * [simplify]: Extracting #2: cost 59 inf + 1
413.611 * * [simplify]: Extracting #3: cost 69 inf + 2
413.611 * * [simplify]: Extracting #4: cost 90 inf + 45
413.612 * * [simplify]: Extracting #5: cost 209 inf + 437
413.615 * * [simplify]: Extracting #6: cost 285 inf + 5127
413.640 * * [simplify]: Extracting #7: cost 87 inf + 70139
413.697 * * [simplify]: Extracting #8: cost 18 inf + 109647
413.749 * * [simplify]: Extracting #9: cost 0 inf + 129877
413.822 * [simplify]: Simplified to (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1))) (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))) (sqrt (sqrt (+ (* (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (cos (/ K 2))) J)) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (* U U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))))))))
413.823 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1))) (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))) (sqrt (sqrt (+ (* (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (cos (/ K 2))) J)) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (* U U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
413.824 * * * * [progress]: [ 274 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
413.825 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
413.825 * * [simplify]: iters left: 6 (52 enodes)
413.859 * * [simplify]: iters left: 5 (273 enodes)
413.948 * * [simplify]: Extracting #0: cost 1 inf + 0
413.948 * * [simplify]: Extracting #1: cost 30 inf + 0
413.948 * * [simplify]: Extracting #2: cost 59 inf + 1
413.948 * * [simplify]: Extracting #3: cost 69 inf + 2
413.948 * * [simplify]: Extracting #4: cost 104 inf + 45
413.949 * * [simplify]: Extracting #5: cost 255 inf + 437
413.950 * * [simplify]: Extracting #6: cost 346 inf + 4524
413.960 * * [simplify]: Extracting #7: cost 202 inf + 51753
413.991 * * [simplify]: Extracting #8: cost 43 inf + 118496
414.040 * * [simplify]: Extracting #9: cost 23 inf + 133413
414.102 * * [simplify]: Extracting #10: cost 17 inf + 138204
414.152 * * [simplify]: Extracting #11: cost 2 inf + 157148
414.225 * * [simplify]: Extracting #12: cost 0 inf + 159600
414.323 * [simplify]: Simplified to (/ (* (/ (sqrt (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) 1)) (/ (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* 2 (* (cos (/ K 2)) J))) (* (* (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* U U) U))))) (* (cos (/ K 2)) J))) -2) (sqrt (sqrt (+ (* 2 (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) U) (* (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) U) (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))))))
414.323 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (sqrt (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) 1)) (/ (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* 2 (* (cos (/ K 2)) J))) (* (* (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* U U) U))))) (* (cos (/ K 2)) J))) -2) (sqrt (sqrt (+ (* 2 (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) U) (* (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) U) (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
414.325 * * * * [progress]: [ 275 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
414.326 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
414.327 * * [simplify]: iters left: 6 (45 enodes)
414.341 * * [simplify]: iters left: 5 (232 enodes)
414.435 * * [simplify]: Extracting #0: cost 1 inf + 0
414.435 * * [simplify]: Extracting #1: cost 30 inf + 0
414.435 * * [simplify]: Extracting #2: cost 59 inf + 1
414.435 * * [simplify]: Extracting #3: cost 69 inf + 2
414.435 * * [simplify]: Extracting #4: cost 92 inf + 45
414.436 * * [simplify]: Extracting #5: cost 217 inf + 520
414.438 * * [simplify]: Extracting #6: cost 289 inf + 6178
414.449 * * [simplify]: Extracting #7: cost 124 inf + 60922
414.480 * * [simplify]: Extracting #8: cost 33 inf + 98546
414.530 * * [simplify]: Extracting #9: cost 11 inf + 121908
414.584 * * [simplify]: Extracting #10: cost 0 inf + 134228
414.661 * [simplify]: Simplified to (/ (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (/ (* (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (cos (/ K 2))) (* 2 J)) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* U (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))))))) (* (* (cos (/ K 2)) J) -2)))
414.662 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (/ (* (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (cos (/ K 2))) (* 2 J)) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* U (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))))))) (* (* (cos (/ K 2)) J) -2))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
414.663 * * * * [progress]: [ 276 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
414.664 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
414.665 * * [simplify]: iters left: 6 (53 enodes)
414.700 * * [simplify]: iters left: 5 (272 enodes)
414.805 * * [simplify]: Extracting #0: cost 1 inf + 0
414.805 * * [simplify]: Extracting #1: cost 30 inf + 0
414.806 * * [simplify]: Extracting #2: cost 59 inf + 1
414.806 * * [simplify]: Extracting #3: cost 69 inf + 2
414.807 * * [simplify]: Extracting #4: cost 100 inf + 45
414.808 * * [simplify]: Extracting #5: cost 239 inf + 519
414.811 * * [simplify]: Extracting #6: cost 315 inf + 5909
414.831 * * [simplify]: Extracting #7: cost 161 inf + 56203
414.875 * * [simplify]: Extracting #8: cost 67 inf + 94356
414.930 * * [simplify]: Extracting #9: cost 25 inf + 122506
414.972 * * [simplify]: Extracting #10: cost 22 inf + 122045
415.045 * * [simplify]: Extracting #11: cost 18 inf + 126026
415.125 * * [simplify]: Extracting #12: cost 7 inf + 137868
415.183 * * [simplify]: Extracting #13: cost 0 inf + 148048
415.233 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* U U) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) 2) (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))
415.233 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* U U) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) 2) (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
415.234 * * * * [progress]: [ 277 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
415.235 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
415.235 * * [simplify]: iters left: 6 (46 enodes)
415.249 * * [simplify]: iters left: 5 (231 enodes)
415.365 * * [simplify]: Extracting #0: cost 1 inf + 0
415.365 * * [simplify]: Extracting #1: cost 30 inf + 0
415.366 * * [simplify]: Extracting #2: cost 59 inf + 1
415.366 * * [simplify]: Extracting #3: cost 68 inf + 44
415.367 * * [simplify]: Extracting #4: cost 91 inf + 45
415.368 * * [simplify]: Extracting #5: cost 208 inf + 479
415.370 * * [simplify]: Extracting #6: cost 286 inf + 4487
415.390 * * [simplify]: Extracting #7: cost 122 inf + 58963
415.437 * * [simplify]: Extracting #8: cost 31 inf + 100091
415.473 * * [simplify]: Extracting #9: cost 12 inf + 117865
415.549 * * [simplify]: Extracting #10: cost 0 inf + 132014
415.625 * * [simplify]: Extracting #11: cost 0 inf + 131854
415.675 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (* (* U U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))))) -2) (sqrt (sqrt (+ (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (/ (/ U (cos (/ K 2))) (* 2 J))) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (cos (/ K 2))) J) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))
415.675 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (* (* U U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))))) -2) (sqrt (sqrt (+ (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (/ (/ U (cos (/ K 2))) (* 2 J))) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (cos (/ K 2))) J) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
415.676 * * * * [progress]: [ 278 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
415.677 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
415.678 * * [simplify]: iters left: 6 (52 enodes)
415.714 * * [simplify]: iters left: 5 (274 enodes)
415.832 * * [simplify]: Extracting #0: cost 1 inf + 0
415.832 * * [simplify]: Extracting #1: cost 30 inf + 0
415.833 * * [simplify]: Extracting #2: cost 59 inf + 1
415.833 * * [simplify]: Extracting #3: cost 68 inf + 44
415.833 * * [simplify]: Extracting #4: cost 103 inf + 45
415.835 * * [simplify]: Extracting #5: cost 253 inf + 437
415.838 * * [simplify]: Extracting #6: cost 326 inf + 5980
415.853 * * [simplify]: Extracting #7: cost 185 inf + 51057
415.878 * * [simplify]: Extracting #8: cost 48 inf + 107060
415.942 * * [simplify]: Extracting #9: cost 19 inf + 131380
416.003 * * [simplify]: Extracting #10: cost 9 inf + 140241
416.072 * * [simplify]: Extracting #11: cost 0 inf + 152990
416.167 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (* (cos (/ K 2)) (* 2 J)) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* U (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1)))))) (/ -2 (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))))))
416.167 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (* (cos (/ K 2)) (* 2 J)) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* U (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1)))))) (/ -2 (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
416.169 * * * * [progress]: [ 279 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
416.170 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
416.171 * * [simplify]: iters left: 6 (45 enodes)
416.198 * * [simplify]: iters left: 5 (232 enodes)
416.290 * * [simplify]: Extracting #0: cost 1 inf + 0
416.290 * * [simplify]: Extracting #1: cost 30 inf + 0
416.291 * * [simplify]: Extracting #2: cost 59 inf + 1
416.291 * * [simplify]: Extracting #3: cost 69 inf + 2
416.291 * * [simplify]: Extracting #4: cost 90 inf + 45
416.292 * * [simplify]: Extracting #5: cost 208 inf + 622
416.293 * * [simplify]: Extracting #6: cost 281 inf + 5170
416.314 * * [simplify]: Extracting #7: cost 81 inf + 70555
416.349 * * [simplify]: Extracting #8: cost 22 inf + 104270
416.405 * * [simplify]: Extracting #9: cost 1 inf + 125415
416.463 * * [simplify]: Extracting #10: cost 0 inf + 126801
416.528 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (* (* U U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* U U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))))
416.528 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (* (* U U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* U U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
416.530 * * * * [progress]: [ 280 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
416.530 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
416.531 * * [simplify]: iters left: 6 (52 enodes)
416.564 * * [simplify]: iters left: 5 (273 enodes)
416.645 * * [simplify]: Extracting #0: cost 1 inf + 0
416.645 * * [simplify]: Extracting #1: cost 30 inf + 0
416.645 * * [simplify]: Extracting #2: cost 59 inf + 1
416.645 * * [simplify]: Extracting #3: cost 69 inf + 2
416.645 * * [simplify]: Extracting #4: cost 101 inf + 45
416.646 * * [simplify]: Extracting #5: cost 245 inf + 519
416.647 * * [simplify]: Extracting #6: cost 334 inf + 3109
416.654 * * [simplify]: Extracting #7: cost 213 inf + 39217
416.680 * * [simplify]: Extracting #8: cost 50 inf + 106578
416.719 * * [simplify]: Extracting #9: cost 19 inf + 129740
416.779 * * [simplify]: Extracting #10: cost 5 inf + 144596
416.833 * * [simplify]: Extracting #11: cost 0 inf + 151764
416.902 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (sqrt (sqrt (+ (* (cos (/ K 2)) (* (* 2 J) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* 2 (* (cos (/ K 2)) J))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* U U)))))))
416.902 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (sqrt (sqrt (+ (* (cos (/ K 2)) (* (* 2 J) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* 2 (* (cos (/ K 2)) J))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* U U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
416.904 * * * * [progress]: [ 281 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
416.905 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
416.905 * * [simplify]: iters left: 6 (45 enodes)
416.931 * * [simplify]: iters left: 5 (232 enodes)
417.029 * * [simplify]: Extracting #0: cost 1 inf + 0
417.029 * * [simplify]: Extracting #1: cost 30 inf + 0
417.029 * * [simplify]: Extracting #2: cost 59 inf + 1
417.029 * * [simplify]: Extracting #3: cost 69 inf + 2
417.029 * * [simplify]: Extracting #4: cost 91 inf + 45
417.030 * * [simplify]: Extracting #5: cost 205 inf + 765
417.032 * * [simplify]: Extracting #6: cost 281 inf + 6402
417.043 * * [simplify]: Extracting #7: cost 111 inf + 62644
417.078 * * [simplify]: Extracting #8: cost 36 inf + 90632
417.111 * * [simplify]: Extracting #9: cost 15 inf + 111977
417.184 * * [simplify]: Extracting #10: cost 0 inf + 127793
417.229 * * [simplify]: Extracting #11: cost 0 inf + 125548
417.287 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (* (* (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* U U) U))))))
417.288 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (* (* (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* U U) U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
417.288 * * * * [progress]: [ 282 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
417.289 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
417.289 * * [simplify]: iters left: 6 (53 enodes)
417.308 * * [simplify]: iters left: 5 (272 enodes)
417.415 * * [simplify]: Extracting #0: cost 1 inf + 0
417.415 * * [simplify]: Extracting #1: cost 30 inf + 0
417.415 * * [simplify]: Extracting #2: cost 59 inf + 1
417.415 * * [simplify]: Extracting #3: cost 68 inf + 44
417.416 * * [simplify]: Extracting #4: cost 99 inf + 45
417.417 * * [simplify]: Extracting #5: cost 236 inf + 519
417.420 * * [simplify]: Extracting #6: cost 315 inf + 5600
417.435 * * [simplify]: Extracting #7: cost 151 inf + 59231
417.459 * * [simplify]: Extracting #8: cost 52 inf + 101954
417.491 * * [simplify]: Extracting #9: cost 21 inf + 124617
417.537 * * [simplify]: Extracting #10: cost 6 inf + 139852
417.598 * * [simplify]: Extracting #11: cost 0 inf + 148555
417.655 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (* (* U U) U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J))) (* (+ 1 (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* U (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))
417.655 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (* (* U U) U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J))) (* (+ 1 (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* U (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
417.657 * * * * [progress]: [ 283 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
417.657 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
417.658 * * [simplify]: iters left: 6 (46 enodes)
417.688 * * [simplify]: iters left: 5 (231 enodes)
417.778 * * [simplify]: Extracting #0: cost 1 inf + 0
417.778 * * [simplify]: Extracting #1: cost 30 inf + 0
417.778 * * [simplify]: Extracting #2: cost 59 inf + 1
417.778 * * [simplify]: Extracting #3: cost 69 inf + 2
417.779 * * [simplify]: Extracting #4: cost 89 inf + 45
417.780 * * [simplify]: Extracting #5: cost 200 inf + 479
417.783 * * [simplify]: Extracting #6: cost 281 inf + 4531
417.801 * * [simplify]: Extracting #7: cost 131 inf + 53512
417.832 * * [simplify]: Extracting #8: cost 33 inf + 95787
417.876 * * [simplify]: Extracting #9: cost 11 inf + 115452
417.930 * * [simplify]: Extracting #10: cost 0 inf + 125856
417.981 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J)) 2))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (* (* U U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))))))))
417.981 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J)) 2))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (* (* U U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
417.983 * * * * [progress]: [ 284 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
417.983 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3))))))
417.984 * * [simplify]: iters left: 6 (47 enodes)
418.015 * * [simplify]: iters left: 5 (236 enodes)
418.108 * * [simplify]: Extracting #0: cost 1 inf + 0
418.108 * * [simplify]: Extracting #1: cost 30 inf + 0
418.108 * * [simplify]: Extracting #2: cost 59 inf + 1
418.108 * * [simplify]: Extracting #3: cost 68 inf + 44
418.108 * * [simplify]: Extracting #4: cost 96 inf + 45
418.109 * * [simplify]: Extracting #5: cost 236 inf + 377
418.111 * * [simplify]: Extracting #6: cost 286 inf + 6546
418.121 * * [simplify]: Extracting #7: cost 109 inf + 65688
418.166 * * [simplify]: Extracting #8: cost 23 inf + 112331
418.225 * * [simplify]: Extracting #9: cost 1 inf + 134440
418.288 * * [simplify]: Extracting #10: cost 0 inf + 132637
418.370 * * [simplify]: Extracting #11: cost 0 inf + 132506
418.450 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* U (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))))))))
418.450 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* U (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
418.452 * * * * [progress]: [ 285 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
418.452 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
418.453 * * [simplify]: iters left: 6 (46 enodes)
418.481 * * [simplify]: iters left: 5 (237 enodes)
418.586 * * [simplify]: Extracting #0: cost 1 inf + 0
418.586 * * [simplify]: Extracting #1: cost 30 inf + 0
418.586 * * [simplify]: Extracting #2: cost 59 inf + 1
418.586 * * [simplify]: Extracting #3: cost 69 inf + 2
418.586 * * [simplify]: Extracting #4: cost 96 inf + 45
418.587 * * [simplify]: Extracting #5: cost 211 inf + 662
418.588 * * [simplify]: Extracting #6: cost 270 inf + 5281
418.604 * * [simplify]: Extracting #7: cost 96 inf + 63435
418.642 * * [simplify]: Extracting #8: cost 14 inf + 106916
418.694 * * [simplify]: Extracting #9: cost 0 inf + 121795
418.747 * * [simplify]: Extracting #10: cost 0 inf + 121755
418.798 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) 1) (* U (* (/ (/ (/ U J) (cos (/ K 2))) 2) U))) U))))) -2) (sqrt (sqrt (- (* (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* (- 1 (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))) (- 1 (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))))))))
418.798 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) 1) (* U (* (/ (/ (/ U J) (cos (/ K 2))) 2) U))) U))))) -2) (sqrt (sqrt (- (* (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* (- 1 (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))) (- 1 (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
418.799 * * * * [progress]: [ 286 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
418.799 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
418.800 * * [simplify]: iters left: 6 (50 enodes)
418.822 * * [simplify]: iters left: 5 (260 enodes)
418.927 * * [simplify]: Extracting #0: cost 1 inf + 0
418.927 * * [simplify]: Extracting #1: cost 30 inf + 0
418.927 * * [simplify]: Extracting #2: cost 59 inf + 1
418.928 * * [simplify]: Extracting #3: cost 68 inf + 44
418.928 * * [simplify]: Extracting #4: cost 100 inf + 45
418.929 * * [simplify]: Extracting #5: cost 239 inf + 580
418.933 * * [simplify]: Extracting #6: cost 334 inf + 3799
418.951 * * [simplify]: Extracting #7: cost 183 inf + 55196
418.996 * * [simplify]: Extracting #8: cost 61 inf + 105552
419.028 * * [simplify]: Extracting #9: cost 38 inf + 116455
419.104 * * [simplify]: Extracting #10: cost 24 inf + 130572
419.202 * * [simplify]: Extracting #11: cost 1 inf + 156640
419.287 * * [simplify]: Extracting #12: cost 0 inf + 157145
419.367 * * [simplify]: Extracting #13: cost 0 inf + 157105
419.435 * [simplify]: Simplified to (/ (/ (* (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (+ (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* U U) (* U U))) (* (* U U) (* U U))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (+ (* (* U U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* U U) 1)))))))
419.436 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (+ (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* U U) (* U U))) (* (* U U) (* U U))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (+ (* (* U U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* U U) 1))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
419.437 * * * * [progress]: [ 287 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
419.437 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
419.437 * * [simplify]: iters left: 6 (52 enodes)
419.454 * * [simplify]: iters left: 5 (270 enodes)
419.529 * * [simplify]: Extracting #0: cost 1 inf + 0
419.529 * * [simplify]: Extracting #1: cost 30 inf + 0
419.529 * * [simplify]: Extracting #2: cost 59 inf + 1
419.529 * * [simplify]: Extracting #3: cost 68 inf + 44
419.529 * * [simplify]: Extracting #4: cost 99 inf + 45
419.530 * * [simplify]: Extracting #5: cost 235 inf + 519
419.533 * * [simplify]: Extracting #6: cost 321 inf + 6832
419.560 * * [simplify]: Extracting #7: cost 128 inf + 71541
419.605 * * [simplify]: Extracting #8: cost 52 inf + 102941
419.654 * * [simplify]: Extracting #9: cost 31 inf + 117427
419.746 * * [simplify]: Extracting #10: cost 5 inf + 146330
419.849 * * [simplify]: Extracting #11: cost 0 inf + 153420
419.953 * [simplify]: Simplified to (* (/ (sqrt (+ 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))))) (+ (* (* (* U U) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* U U) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* U U) (* U U))))))))
419.954 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))))) (+ (* (* (* U U) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* U U) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* U U) (* U U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
419.955 * * * * [progress]: [ 288 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
419.956 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
419.957 * * [simplify]: iters left: 6 (50 enodes)
419.988 * * [simplify]: iters left: 5 (258 enodes)
420.087 * * [simplify]: Extracting #0: cost 1 inf + 0
420.087 * * [simplify]: Extracting #1: cost 30 inf + 0
420.087 * * [simplify]: Extracting #2: cost 59 inf + 1
420.087 * * [simplify]: Extracting #3: cost 69 inf + 2
420.088 * * [simplify]: Extracting #4: cost 100 inf + 45
420.088 * * [simplify]: Extracting #5: cost 236 inf + 335
420.090 * * [simplify]: Extracting #6: cost 303 inf + 6580
420.102 * * [simplify]: Extracting #7: cost 150 inf + 58066
420.136 * * [simplify]: Extracting #8: cost 44 inf + 100544
420.200 * * [simplify]: Extracting #9: cost 28 inf + 114870
420.272 * * [simplify]: Extracting #10: cost 3 inf + 141670
420.372 * * [simplify]: Extracting #11: cost 0 inf + 145067
420.441 * [simplify]: Simplified to (/ -2 (/ (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))) (sqrt (sqrt (+ (* (* U U) (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))))))) (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J))))
420.441 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ -2 (/ (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))) (sqrt (sqrt (+ (* (* U U) (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))))))) (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
420.443 * * * * [progress]: [ 289 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
420.443 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
420.444 * * [simplify]: iters left: 6 (52 enodes)
420.461 * * [simplify]: iters left: 5 (269 enodes)
420.571 * * [simplify]: Extracting #0: cost 1 inf + 0
420.571 * * [simplify]: Extracting #1: cost 30 inf + 0
420.571 * * [simplify]: Extracting #2: cost 59 inf + 1
420.571 * * [simplify]: Extracting #3: cost 69 inf + 2
420.571 * * [simplify]: Extracting #4: cost 99 inf + 45
420.572 * * [simplify]: Extracting #5: cost 236 inf + 377
420.574 * * [simplify]: Extracting #6: cost 312 inf + 6792
420.600 * * [simplify]: Extracting #7: cost 140 inf + 64130
420.651 * * [simplify]: Extracting #8: cost 49 inf + 101253
420.714 * * [simplify]: Extracting #9: cost 38 inf + 108455
420.786 * * [simplify]: Extracting #10: cost 20 inf + 124925
420.874 * * [simplify]: Extracting #11: cost 9 inf + 137291
420.982 * * [simplify]: Extracting #12: cost 0 inf + 151091
421.075 * [simplify]: Simplified to (* (/ (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 J) (cos (/ K 2))) (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) U))))) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J)) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* U U) (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))))
421.075 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 J) (cos (/ K 2))) (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) U))))) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J)) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* U U) (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
421.076 * * * * [progress]: [ 290 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
421.077 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
421.077 * * [simplify]: iters left: 6 (51 enodes)
421.095 * * [simplify]: iters left: 5 (260 enodes)
421.185 * * [simplify]: Extracting #0: cost 1 inf + 0
421.185 * * [simplify]: Extracting #1: cost 30 inf + 0
421.185 * * [simplify]: Extracting #2: cost 59 inf + 1
421.186 * * [simplify]: Extracting #3: cost 68 inf + 44
421.186 * * [simplify]: Extracting #4: cost 99 inf + 45
421.186 * * [simplify]: Extracting #5: cost 221 inf + 377
421.188 * * [simplify]: Extracting #6: cost 288 inf + 5195
421.196 * * [simplify]: Extracting #7: cost 163 inf + 45623
421.225 * * [simplify]: Extracting #8: cost 56 inf + 89644
421.268 * * [simplify]: Extracting #9: cost 28 inf + 110467
421.322 * * [simplify]: Extracting #10: cost 11 inf + 127101
421.393 * * [simplify]: Extracting #11: cost 1 inf + 139598
421.469 * * [simplify]: Extracting #12: cost 0 inf + 140824
421.541 * [simplify]: Simplified to (* (/ (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U U)))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U U)))))))))
421.541 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U U)))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U U))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
421.544 * * * * [progress]: [ 291 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
421.544 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
421.545 * * [simplify]: iters left: 6 (53 enodes)
421.579 * * [simplify]: iters left: 5 (270 enodes)
421.695 * * [simplify]: Extracting #0: cost 1 inf + 0
421.695 * * [simplify]: Extracting #1: cost 30 inf + 0
421.695 * * [simplify]: Extracting #2: cost 59 inf + 1
421.695 * * [simplify]: Extracting #3: cost 69 inf + 2
421.695 * * [simplify]: Extracting #4: cost 99 inf + 45
421.696 * * [simplify]: Extracting #5: cost 229 inf + 745
421.697 * * [simplify]: Extracting #6: cost 318 inf + 3217
421.708 * * [simplify]: Extracting #7: cost 159 inf + 57896
421.737 * * [simplify]: Extracting #8: cost 46 inf + 105876
421.786 * * [simplify]: Extracting #9: cost 35 inf + 111754
421.851 * * [simplify]: Extracting #10: cost 16 inf + 132117
421.922 * * [simplify]: Extracting #11: cost 0 inf + 152143
422.025 * * [simplify]: Extracting #12: cost 0 inf + 151078
422.114 * [simplify]: Simplified to (* (/ (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (* (* 2 J) (cos (/ K 2)))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (* (* U U) U)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J)) (* (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U U)))))))
422.114 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (* (* 2 J) (cos (/ K 2)))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (* (* U U) U)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J)) (* (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
422.115 * * * * [progress]: [ 292 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
422.115 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
422.116 * * [simplify]: iters left: 6 (50 enodes)
422.136 * * [simplify]: iters left: 5 (261 enodes)
422.278 * * [simplify]: Extracting #0: cost 1 inf + 0
422.278 * * [simplify]: Extracting #1: cost 30 inf + 0
422.279 * * [simplify]: Extracting #2: cost 59 inf + 1
422.279 * * [simplify]: Extracting #3: cost 69 inf + 2
422.279 * * [simplify]: Extracting #4: cost 99 inf + 45
422.280 * * [simplify]: Extracting #5: cost 239 inf + 723
422.283 * * [simplify]: Extracting #6: cost 320 inf + 5185
422.300 * * [simplify]: Extracting #7: cost 148 inf + 70750
422.348 * * [simplify]: Extracting #8: cost 41 inf + 114269
422.401 * * [simplify]: Extracting #9: cost 25 inf + 125393
422.475 * * [simplify]: Extracting #10: cost 3 inf + 147154
422.585 * * [simplify]: Extracting #11: cost 0 inf + 151152
422.661 * [simplify]: Simplified to (/ (/ (* (* (sqrt (+ 1 (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (* (* U U) (+ (+ 1 (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* (- 1 (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (* (+ (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))))))))
422.661 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (sqrt (+ 1 (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (* (* U U) (+ (+ 1 (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* (- 1 (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (* (+ (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
422.662 * * * * [progress]: [ 293 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
422.663 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
422.663 * * [simplify]: iters left: 6 (52 enodes)
422.680 * * [simplify]: iters left: 5 (271 enodes)
422.778 * * [simplify]: Extracting #0: cost 1 inf + 0
422.778 * * [simplify]: Extracting #1: cost 30 inf + 0
422.779 * * [simplify]: Extracting #2: cost 59 inf + 1
422.779 * * [simplify]: Extracting #3: cost 69 inf + 2
422.780 * * [simplify]: Extracting #4: cost 100 inf + 45
422.781 * * [simplify]: Extracting #5: cost 249 inf + 519
422.784 * * [simplify]: Extracting #6: cost 324 inf + 7191
422.800 * * [simplify]: Extracting #7: cost 196 inf + 45610
422.846 * * [simplify]: Extracting #8: cost 74 inf + 92760
422.905 * * [simplify]: Extracting #9: cost 22 inf + 126005
422.974 * * [simplify]: Extracting #10: cost 0 inf + 149607
423.052 * [simplify]: Simplified to (/ (* (sqrt (+ 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (* (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U))))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)))))))))
423.052 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (* (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U))))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (* (/ U (* 2 (* (cos (/ K 2)) J))) U))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
423.053 * * * * [progress]: [ 294 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
423.054 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
423.054 * * [simplify]: iters left: 6 (42 enodes)
423.077 * * [simplify]: iters left: 5 (214 enodes)
423.186 * * [simplify]: Extracting #0: cost 1 inf + 0
423.186 * * [simplify]: Extracting #1: cost 24 inf + 0
423.186 * * [simplify]: Extracting #2: cost 51 inf + 1
423.187 * * [simplify]: Extracting #3: cost 60 inf + 2
423.187 * * [simplify]: Extracting #4: cost 127 inf + 45
423.189 * * [simplify]: Extracting #5: cost 272 inf + 438
423.196 * * [simplify]: Extracting #6: cost 246 inf + 8960
423.217 * * [simplify]: Extracting #7: cost 97 inf + 55021
423.255 * * [simplify]: Extracting #8: cost 31 inf + 84890
423.302 * * [simplify]: Extracting #9: cost 10 inf + 101982
423.355 * * [simplify]: Extracting #10: cost 1 inf + 110454
423.406 * * [simplify]: Extracting #11: cost 0 inf + 111480
423.451 * [simplify]: Simplified to (/ (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))))
423.451 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
423.452 * * * * [progress]: [ 295 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
423.453 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
423.454 * * [simplify]: iters left: 6 (49 enodes)
423.485 * * [simplify]: iters left: 5 (254 enodes)
423.585 * * [simplify]: Extracting #0: cost 1 inf + 0
423.585 * * [simplify]: Extracting #1: cost 30 inf + 0
423.586 * * [simplify]: Extracting #2: cost 59 inf + 1
423.586 * * [simplify]: Extracting #3: cost 69 inf + 2
423.586 * * [simplify]: Extracting #4: cost 100 inf + 45
423.587 * * [simplify]: Extracting #5: cost 234 inf + 335
423.588 * * [simplify]: Extracting #6: cost 315 inf + 4703
423.602 * * [simplify]: Extracting #7: cost 128 inf + 67823
423.639 * * [simplify]: Extracting #8: cost 41 inf + 104816
423.693 * * [simplify]: Extracting #9: cost 13 inf + 130288
423.761 * * [simplify]: Extracting #10: cost 1 inf + 142914
423.841 * * [simplify]: Extracting #11: cost 0 inf + 143940
423.908 * [simplify]: Simplified to (/ (* (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))))
423.909 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
423.910 * * * * [progress]: [ 296 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
423.910 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
423.910 * * [simplify]: iters left: 6 (48 enodes)
423.931 * * [simplify]: iters left: 5 (235 enodes)
424.019 * * [simplify]: Extracting #0: cost 1 inf + 0
424.019 * * [simplify]: Extracting #1: cost 24 inf + 0
424.019 * * [simplify]: Extracting #2: cost 51 inf + 1
424.020 * * [simplify]: Extracting #3: cost 60 inf + 2
424.020 * * [simplify]: Extracting #4: cost 128 inf + 45
424.022 * * [simplify]: Extracting #5: cost 274 inf + 622
424.026 * * [simplify]: Extracting #6: cost 238 inf + 12085
424.042 * * [simplify]: Extracting #7: cost 88 inf + 63811
424.068 * * [simplify]: Extracting #8: cost 21 inf + 102396
424.122 * * [simplify]: Extracting #9: cost 0 inf + 122214
424.170 * * [simplify]: Extracting #10: cost 0 inf + 119814
424.238 * [simplify]: Simplified to (/ (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (cos (/ K 2)) J)) (/ (sqrt (+ (* (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) U) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))) -2))
424.238 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (cos (/ K 2)) J)) (/ (sqrt (+ (* (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) U) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))) -2)) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
424.239 * * * * [progress]: [ 297 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
424.240 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
424.241 * * [simplify]: iters left: 6 (51 enodes)
424.273 * * [simplify]: iters left: 5 (260 enodes)
424.378 * * [simplify]: Extracting #0: cost 1 inf + 0
424.378 * * [simplify]: Extracting #1: cost 30 inf + 0
424.378 * * [simplify]: Extracting #2: cost 59 inf + 1
424.378 * * [simplify]: Extracting #3: cost 68 inf + 44
424.378 * * [simplify]: Extracting #4: cost 106 inf + 45
424.379 * * [simplify]: Extracting #5: cost 262 inf + 478
424.383 * * [simplify]: Extracting #6: cost 305 inf + 8742
424.410 * * [simplify]: Extracting #7: cost 131 inf + 70595
424.444 * * [simplify]: Extracting #8: cost 54 inf + 104215
424.490 * * [simplify]: Extracting #9: cost 22 inf + 127743
424.575 * * [simplify]: Extracting #10: cost 2 inf + 150174
424.654 * * [simplify]: Extracting #11: cost 0 inf + 151986
424.727 * * [simplify]: Extracting #12: cost 0 inf + 151906
424.802 * [simplify]: Simplified to (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* U (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* U U))))))
424.802 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* U (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* U U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
424.804 * * * * [progress]: [ 298 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
424.805 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
424.806 * * [simplify]: iters left: 6 (51 enodes)
424.837 * * [simplify]: iters left: 5 (261 enodes)
424.917 * * [simplify]: Extracting #0: cost 1 inf + 0
424.917 * * [simplify]: Extracting #1: cost 30 inf + 0
424.917 * * [simplify]: Extracting #2: cost 59 inf + 1
424.918 * * [simplify]: Extracting #3: cost 69 inf + 2
424.918 * * [simplify]: Extracting #4: cost 99 inf + 45
424.919 * * [simplify]: Extracting #5: cost 233 inf + 335
424.923 * * [simplify]: Extracting #6: cost 302 inf + 6954
424.938 * * [simplify]: Extracting #7: cost 128 inf + 70546
424.979 * * [simplify]: Extracting #8: cost 42 inf + 108899
425.029 * * [simplify]: Extracting #9: cost 15 inf + 134868
425.122 * * [simplify]: Extracting #10: cost 0 inf + 152093
425.214 * * [simplify]: Extracting #11: cost 0 inf + 151013
425.308 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* U U)))))) (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* U (* (+ 1 (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* U U)))))))))
425.308 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* U U)))))) (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* U (* (+ 1 (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* U U))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
425.309 * * * * [progress]: [ 299 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
425.310 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
425.310 * * [simplify]: iters left: 6 (53 enodes)
425.328 * * [simplify]: iters left: 5 (271 enodes)
425.437 * * [simplify]: Extracting #0: cost 1 inf + 0
425.437 * * [simplify]: Extracting #1: cost 30 inf + 0
425.438 * * [simplify]: Extracting #2: cost 59 inf + 1
425.438 * * [simplify]: Extracting #3: cost 68 inf + 44
425.438 * * [simplify]: Extracting #4: cost 99 inf + 45
425.440 * * [simplify]: Extracting #5: cost 236 inf + 662
425.442 * * [simplify]: Extracting #6: cost 321 inf + 4140
425.450 * * [simplify]: Extracting #7: cost 249 inf + 21591
425.469 * * [simplify]: Extracting #8: cost 133 inf + 65505
425.506 * * [simplify]: Extracting #9: cost 50 inf + 107396
425.543 * * [simplify]: Extracting #10: cost 28 inf + 123593
425.593 * * [simplify]: Extracting #11: cost 21 inf + 131090
425.672 * * [simplify]: Extracting #12: cost 3 inf + 153471
425.774 * * [simplify]: Extracting #13: cost 0 inf + 157068
425.875 * [simplify]: Simplified to (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* (+ (* 1 (* U U)) (* (* (/ U (* 2 (cos (/ K 2)))) (/ U J)) (* (/ U (* 2 (cos (/ K 2)))) (/ U J)))) (* (/ U (* 2 (cos (/ K 2)))) (/ U J)))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* U U)))))))
425.875 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* (+ (* 1 (* U U)) (* (* (/ U (* 2 (cos (/ K 2)))) (/ U J)) (* (/ U (* 2 (cos (/ K 2)))) (/ U J)))) (* (/ U (* 2 (cos (/ K 2)))) (/ U J)))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* U U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
425.877 * * * * [progress]: [ 300 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
425.878 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
425.879 * * [simplify]: iters left: 6 (48 enodes)
425.898 * * [simplify]: iters left: 5 (234 enodes)
425.973 * * [simplify]: Extracting #0: cost 1 inf + 0
425.973 * * [simplify]: Extracting #1: cost 24 inf + 0
425.973 * * [simplify]: Extracting #2: cost 51 inf + 1
425.973 * * [simplify]: Extracting #3: cost 60 inf + 2
425.974 * * [simplify]: Extracting #4: cost 130 inf + 45
425.975 * * [simplify]: Extracting #5: cost 269 inf + 663
425.977 * * [simplify]: Extracting #6: cost 226 inf + 14295
426.000 * * [simplify]: Extracting #7: cost 85 inf + 62499
426.061 * * [simplify]: Extracting #8: cost 18 inf + 100535
426.132 * * [simplify]: Extracting #9: cost 3 inf + 112679
426.199 * * [simplify]: Extracting #10: cost 0 inf + 115517
426.259 * [simplify]: Simplified to (/ (* (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U U)) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))))
426.260 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U U)) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
426.261 * * * * [progress]: [ 301 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
426.262 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
426.263 * * [simplify]: iters left: 6 (51 enodes)
426.292 * * [simplify]: iters left: 5 (260 enodes)
426.384 * * [simplify]: Extracting #0: cost 1 inf + 0
426.384 * * [simplify]: Extracting #1: cost 30 inf + 0
426.384 * * [simplify]: Extracting #2: cost 59 inf + 1
426.385 * * [simplify]: Extracting #3: cost 69 inf + 2
426.385 * * [simplify]: Extracting #4: cost 106 inf + 45
426.387 * * [simplify]: Extracting #5: cost 267 inf + 335
426.391 * * [simplify]: Extracting #6: cost 313 inf + 8664
426.417 * * [simplify]: Extracting #7: cost 146 inf + 67223
426.452 * * [simplify]: Extracting #8: cost 49 inf + 109386
426.498 * * [simplify]: Extracting #9: cost 21 inf + 131455
426.583 * * [simplify]: Extracting #10: cost 3 inf + 151154
426.657 * * [simplify]: Extracting #11: cost 0 inf + 153912
426.717 * * [simplify]: Extracting #12: cost 0 inf + 153792
426.809 * [simplify]: Simplified to (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* U U)))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) U)))))
426.809 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* U U)))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) U))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
426.811 * * * * [progress]: [ 302 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
426.812 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
426.812 * * [simplify]: iters left: 6 (48 enodes)
426.843 * * [simplify]: iters left: 5 (234 enodes)
426.953 * * [simplify]: Extracting #0: cost 1 inf + 0
426.953 * * [simplify]: Extracting #1: cost 24 inf + 0
426.953 * * [simplify]: Extracting #2: cost 51 inf + 1
426.953 * * [simplify]: Extracting #3: cost 60 inf + 2
426.954 * * [simplify]: Extracting #4: cost 132 inf + 45
426.954 * * [simplify]: Extracting #5: cost 283 inf + 580
426.957 * * [simplify]: Extracting #6: cost 252 inf + 10019
426.972 * * [simplify]: Extracting #7: cost 82 inf + 73968
427.023 * * [simplify]: Extracting #8: cost 6 inf + 121979
427.077 * * [simplify]: Extracting #9: cost 0 inf + 123694
427.135 * * [simplify]: Extracting #10: cost 0 inf + 122894
427.191 * [simplify]: Simplified to (/ -2 (/ (sqrt (+ (* U (* (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))) (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (cos (/ K 2)) J))))
427.191 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ -2 (/ (sqrt (+ (* U (* (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))) (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (cos (/ K 2)) J)))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
427.192 * * * * [progress]: [ 303 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
427.192 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
427.193 * * [simplify]: iters left: 6 (51 enodes)
427.224 * * [simplify]: iters left: 5 (259 enodes)
427.331 * * [simplify]: Extracting #0: cost 1 inf + 0
427.331 * * [simplify]: Extracting #1: cost 30 inf + 0
427.331 * * [simplify]: Extracting #2: cost 59 inf + 1
427.331 * * [simplify]: Extracting #3: cost 69 inf + 2
427.332 * * [simplify]: Extracting #4: cost 107 inf + 45
427.333 * * [simplify]: Extracting #5: cost 273 inf + 519
427.335 * * [simplify]: Extracting #6: cost 317 inf + 8430
427.343 * * [simplify]: Extracting #7: cost 201 inf + 45633
427.381 * * [simplify]: Extracting #8: cost 54 inf + 108165
427.431 * * [simplify]: Extracting #9: cost 29 inf + 123557
427.477 * * [simplify]: Extracting #10: cost 21 inf + 131600
427.548 * * [simplify]: Extracting #11: cost 1 inf + 153391
427.620 * * [simplify]: Extracting #12: cost 0 inf + 153857
427.694 * * [simplify]: Extracting #13: cost 0 inf + 153817
427.800 * [simplify]: Simplified to (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* U (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))))
427.800 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* U (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
427.802 * * * * [progress]: [ 304 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
427.802 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
427.803 * * [simplify]: iters left: 6 (48 enodes)
427.834 * * [simplify]: iters left: 5 (233 enodes)
427.949 * * [simplify]: Extracting #0: cost 1 inf + 0
427.950 * * [simplify]: Extracting #1: cost 24 inf + 0
427.950 * * [simplify]: Extracting #2: cost 51 inf + 1
427.950 * * [simplify]: Extracting #3: cost 59 inf + 44
427.950 * * [simplify]: Extracting #4: cost 139 inf + 45
427.951 * * [simplify]: Extracting #5: cost 285 inf + 378
427.953 * * [simplify]: Extracting #6: cost 251 inf + 11201
427.966 * * [simplify]: Extracting #7: cost 83 inf + 69246
428.019 * * [simplify]: Extracting #8: cost 26 inf + 100108
428.056 * * [simplify]: Extracting #9: cost 15 inf + 109512
428.114 * * [simplify]: Extracting #10: cost 0 inf + 124895
428.184 * * [simplify]: Extracting #11: cost 0 inf + 123415
428.235 * [simplify]: Simplified to (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))))))) (sqrt (+ (* (- 1 (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* (+ 1 (+ (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))))) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))) (* U U)))))
428.235 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))))))) (sqrt (+ (* (- 1 (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* (+ 1 (+ (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))))) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))) (* U U))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
428.237 * * * * [progress]: [ 305 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
428.238 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
428.238 * * [simplify]: iters left: 6 (51 enodes)
428.254 * * [simplify]: iters left: 5 (256 enodes)
428.345 * * [simplify]: Extracting #0: cost 1 inf + 0
428.345 * * [simplify]: Extracting #1: cost 30 inf + 0
428.345 * * [simplify]: Extracting #2: cost 59 inf + 1
428.345 * * [simplify]: Extracting #3: cost 69 inf + 2
428.345 * * [simplify]: Extracting #4: cost 100 inf + 45
428.346 * * [simplify]: Extracting #5: cost 237 inf + 335
428.348 * * [simplify]: Extracting #6: cost 307 inf + 6448
428.363 * * [simplify]: Extracting #7: cost 119 inf + 73230
428.423 * * [simplify]: Extracting #8: cost 28 inf + 117513
428.485 * * [simplify]: Extracting #9: cost 5 inf + 142382
428.547 * * [simplify]: Extracting #10: cost 0 inf + 147789
428.628 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))))) (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* U U)))))))
428.628 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))))) (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* U U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
428.630 * * * * [progress]: [ 306 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
428.630 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
428.631 * * [simplify]: iters left: 6 (48 enodes)
428.662 * * [simplify]: iters left: 5 (251 enodes)
428.763 * * [simplify]: Extracting #0: cost 1 inf + 0
428.763 * * [simplify]: Extracting #1: cost 30 inf + 0
428.763 * * [simplify]: Extracting #2: cost 59 inf + 1
428.763 * * [simplify]: Extracting #3: cost 69 inf + 2
428.763 * * [simplify]: Extracting #4: cost 106 inf + 45
428.764 * * [simplify]: Extracting #5: cost 238 inf + 335
428.766 * * [simplify]: Extracting #6: cost 308 inf + 6328
428.781 * * [simplify]: Extracting #7: cost 121 inf + 71162
428.810 * * [simplify]: Extracting #8: cost 46 inf + 102403
428.886 * * [simplify]: Extracting #9: cost 21 inf + 122358
428.955 * * [simplify]: Extracting #10: cost 1 inf + 143989
429.030 * * [simplify]: Extracting #11: cost 0 inf + 145015
429.132 * [simplify]: Simplified to (* (/ (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* U U) (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))))))
429.132 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* U U) (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
429.134 * * * * [progress]: [ 307 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
429.135 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
429.136 * * [simplify]: iters left: 6 (50 enodes)
429.172 * * [simplify]: iters left: 5 (262 enodes)
429.267 * * [simplify]: Extracting #0: cost 1 inf + 0
429.267 * * [simplify]: Extracting #1: cost 30 inf + 0
429.267 * * [simplify]: Extracting #2: cost 59 inf + 1
429.267 * * [simplify]: Extracting #3: cost 69 inf + 2
429.268 * * [simplify]: Extracting #4: cost 105 inf + 45
429.268 * * [simplify]: Extracting #5: cost 247 inf + 437
429.270 * * [simplify]: Extracting #6: cost 318 inf + 6475
429.282 * * [simplify]: Extracting #7: cost 146 inf + 63530
429.332 * * [simplify]: Extracting #8: cost 51 inf + 102145
429.394 * * [simplify]: Extracting #9: cost 24 inf + 120030
429.462 * * [simplify]: Extracting #10: cost 3 inf + 141085
429.538 * * [simplify]: Extracting #11: cost 0 inf + 144723
429.601 * [simplify]: Simplified to (/ (* (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))))
429.601 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
429.602 * * * * [progress]: [ 308 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
429.603 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
429.603 * * [simplify]: iters left: 6 (49 enodes)
429.622 * * [simplify]: iters left: 5 (252 enodes)
429.723 * * [simplify]: Extracting #0: cost 1 inf + 0
429.724 * * [simplify]: Extracting #1: cost 30 inf + 0
429.724 * * [simplify]: Extracting #2: cost 59 inf + 1
429.724 * * [simplify]: Extracting #3: cost 69 inf + 2
429.724 * * [simplify]: Extracting #4: cost 100 inf + 45
429.725 * * [simplify]: Extracting #5: cost 211 inf + 478
429.728 * * [simplify]: Extracting #6: cost 290 inf + 4380
429.747 * * [simplify]: Extracting #7: cost 143 inf + 56617
429.792 * * [simplify]: Extracting #8: cost 43 inf + 97082
429.837 * * [simplify]: Extracting #9: cost 24 inf + 114559
429.900 * * [simplify]: Extracting #10: cost 4 inf + 135072
429.982 * * [simplify]: Extracting #11: cost 0 inf + 138776
430.068 * * [simplify]: Extracting #12: cost 0 inf + 138696
430.140 * [simplify]: Simplified to (/ (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (/ (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) U)))) (/ -2 (sqrt (sqrt (+ (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) 2)))))) (* (cos (/ K 2)) J)))
430.140 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (/ (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) U)))) (/ -2 (sqrt (sqrt (+ (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) 2)))))) (* (cos (/ K 2)) J))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
430.142 * * * * [progress]: [ 309 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
430.142 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
430.143 * * [simplify]: iters left: 6 (51 enodes)
430.177 * * [simplify]: iters left: 5 (262 enodes)
430.317 * * [simplify]: Extracting #0: cost 1 inf + 0
430.317 * * [simplify]: Extracting #1: cost 30 inf + 0
430.317 * * [simplify]: Extracting #2: cost 59 inf + 1
430.317 * * [simplify]: Extracting #3: cost 69 inf + 2
430.317 * * [simplify]: Extracting #4: cost 98 inf + 45
430.318 * * [simplify]: Extracting #5: cost 222 inf + 377
430.320 * * [simplify]: Extracting #6: cost 298 inf + 4526
430.330 * * [simplify]: Extracting #7: cost 139 inf + 59587
430.363 * * [simplify]: Extracting #8: cost 42 inf + 100355
430.421 * * [simplify]: Extracting #9: cost 18 inf + 122165
430.475 * * [simplify]: Extracting #10: cost 1 inf + 142640
430.558 * * [simplify]: Extracting #11: cost 0 inf + 143746
430.636 * [simplify]: Simplified to (* (/ (sqrt (+ 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) U) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) U) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* U U) (+ 1 (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))))))))
430.636 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) U) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) U) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* U U) (+ 1 (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
430.638 * * * * [progress]: [ 310 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
430.639 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
430.640 * * [simplify]: iters left: 6 (48 enodes)
430.659 * * [simplify]: iters left: 5 (249 enodes)
430.748 * * [simplify]: Extracting #0: cost 1 inf + 0
430.748 * * [simplify]: Extracting #1: cost 24 inf + 0
430.748 * * [simplify]: Extracting #2: cost 51 inf + 1
430.748 * * [simplify]: Extracting #3: cost 59 inf + 44
430.749 * * [simplify]: Extracting #4: cost 132 inf + 45
430.749 * * [simplify]: Extracting #5: cost 302 inf + 478
430.754 * * [simplify]: Extracting #6: cost 270 inf + 9957
430.766 * * [simplify]: Extracting #7: cost 110 inf + 62280
430.791 * * [simplify]: Extracting #8: cost 37 inf + 96274
430.854 * * [simplify]: Extracting #9: cost 14 inf + 114098
430.935 * * [simplify]: Extracting #10: cost 1 inf + 126070
430.993 * * [simplify]: Extracting #11: cost 0 inf + 127096
431.053 * [simplify]: Simplified to (/ (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) (/ (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) -2))
431.053 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) (/ (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) -2)) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
431.054 * * * * [progress]: [ 311 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
431.054 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
431.054 * * [simplify]: iters left: 6 (51 enodes)
431.075 * * [simplify]: iters left: 5 (265 enodes)
431.199 * * [simplify]: Extracting #0: cost 1 inf + 0
431.199 * * [simplify]: Extracting #1: cost 30 inf + 0
431.199 * * [simplify]: Extracting #2: cost 59 inf + 1
431.199 * * [simplify]: Extracting #3: cost 69 inf + 2
431.200 * * [simplify]: Extracting #4: cost 105 inf + 45
431.201 * * [simplify]: Extracting #5: cost 266 inf + 805
431.205 * * [simplify]: Extracting #6: cost 319 inf + 7420
431.229 * * [simplify]: Extracting #7: cost 155 inf + 61535
431.262 * * [simplify]: Extracting #8: cost 62 inf + 101065
431.314 * * [simplify]: Extracting #9: cost 29 inf + 121054
431.366 * * [simplify]: Extracting #10: cost 25 inf + 125315
431.443 * * [simplify]: Extracting #11: cost 3 inf + 149036
431.518 * * [simplify]: Extracting #12: cost 0 inf + 152914
431.588 * [simplify]: Simplified to (/ (* (* (sqrt (+ 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* U U))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U)))))))
431.588 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* U U))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
431.589 * * * * [progress]: [ 312 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
431.589 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
431.590 * * [simplify]: iters left: 6 (48 enodes)
431.608 * * [simplify]: iters left: 5 (251 enodes)
431.692 * * [simplify]: Extracting #0: cost 1 inf + 0
431.693 * * [simplify]: Extracting #1: cost 30 inf + 0
431.693 * * [simplify]: Extracting #2: cost 59 inf + 1
431.693 * * [simplify]: Extracting #3: cost 69 inf + 2
431.693 * * [simplify]: Extracting #4: cost 101 inf + 45
431.694 * * [simplify]: Extracting #5: cost 222 inf + 478
431.696 * * [simplify]: Extracting #6: cost 304 inf + 5332
431.721 * * [simplify]: Extracting #7: cost 133 inf + 66307
431.766 * * [simplify]: Extracting #8: cost 28 inf + 113344
431.837 * * [simplify]: Extracting #9: cost 6 inf + 135062
431.913 * * [simplify]: Extracting #10: cost 0 inf + 141976
432.016 * [simplify]: Simplified to (* (/ (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (+ 1 (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))))))
432.016 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (+ 1 (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
432.018 * * * * [progress]: [ 313 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
432.018 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
432.019 * * [simplify]: iters left: 6 (50 enodes)
432.051 * * [simplify]: iters left: 5 (261 enodes)
432.168 * * [simplify]: Extracting #0: cost 1 inf + 0
432.168 * * [simplify]: Extracting #1: cost 30 inf + 0
432.169 * * [simplify]: Extracting #2: cost 59 inf + 1
432.169 * * [simplify]: Extracting #3: cost 69 inf + 2
432.169 * * [simplify]: Extracting #4: cost 101 inf + 45
432.171 * * [simplify]: Extracting #5: cost 232 inf + 437
432.174 * * [simplify]: Extracting #6: cost 295 inf + 6563
432.201 * * [simplify]: Extracting #7: cost 113 inf + 69995
432.254 * * [simplify]: Extracting #8: cost 38 inf + 101526
432.329 * * [simplify]: Extracting #9: cost 16 inf + 122526
432.403 * * [simplify]: Extracting #10: cost 1 inf + 139991
432.486 * * [simplify]: Extracting #11: cost 0 inf + 141057
432.581 * [simplify]: Simplified to (* (/ (sqrt (+ 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (sqrt (sqrt (+ (* (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U)) (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* 2 (* (cos (/ K 2)) J))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* U U) (+ (+ 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))))))
432.581 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (sqrt (sqrt (+ (* (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U)) (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* 2 (* (cos (/ K 2)) J))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* U U) (+ (+ 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
432.583 * * * * [progress]: [ 314 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
432.584 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
432.585 * * [simplify]: iters left: 6 (49 enodes)
432.606 * * [simplify]: iters left: 5 (252 enodes)
432.717 * * [simplify]: Extracting #0: cost 1 inf + 0
432.717 * * [simplify]: Extracting #1: cost 30 inf + 0
432.717 * * [simplify]: Extracting #2: cost 59 inf + 1
432.717 * * [simplify]: Extracting #3: cost 68 inf + 44
432.718 * * [simplify]: Extracting #4: cost 99 inf + 45
432.718 * * [simplify]: Extracting #5: cost 213 inf + 478
432.719 * * [simplify]: Extracting #6: cost 301 inf + 3909
432.731 * * [simplify]: Extracting #7: cost 136 inf + 61539
432.761 * * [simplify]: Extracting #8: cost 40 inf + 101452
432.812 * * [simplify]: Extracting #9: cost 26 inf + 113957
432.890 * * [simplify]: Extracting #10: cost 1 inf + 139838
432.967 * * [simplify]: Extracting #11: cost 0 inf + 141064
433.061 * [simplify]: Simplified to (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* U U))))) (sqrt (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (* (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) 2))))))
433.062 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* U U))))) (sqrt (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (* (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) 2)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
433.063 * * * * [progress]: [ 315 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
433.064 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
433.065 * * [simplify]: iters left: 6 (51 enodes)
433.092 * * [simplify]: iters left: 5 (262 enodes)
433.187 * * [simplify]: Extracting #0: cost 1 inf + 0
433.187 * * [simplify]: Extracting #1: cost 30 inf + 0
433.188 * * [simplify]: Extracting #2: cost 59 inf + 1
433.188 * * [simplify]: Extracting #3: cost 68 inf + 44
433.188 * * [simplify]: Extracting #4: cost 98 inf + 45
433.189 * * [simplify]: Extracting #5: cost 217 inf + 520
433.191 * * [simplify]: Extracting #6: cost 290 inf + 3989
433.203 * * [simplify]: Extracting #7: cost 167 inf + 45525
433.230 * * [simplify]: Extracting #8: cost 82 inf + 78015
433.281 * * [simplify]: Extracting #9: cost 39 inf + 97254
433.317 * * [simplify]: Extracting #10: cost 12 inf + 123423
433.404 * * [simplify]: Extracting #11: cost 1 inf + 135223
433.463 * * [simplify]: Extracting #12: cost 0 inf + 135408
433.553 * * [simplify]: Extracting #13: cost 0 inf + 135328
433.619 * [simplify]: Simplified to (/ (/ (* (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* 2 (* (cos (/ K 2)) J))) (* (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* U U) (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))))
433.619 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* 2 (* (cos (/ K 2)) J))) (* (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* U U) (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
433.621 * * * * [progress]: [ 316 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
433.621 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3))))))
433.622 * * [simplify]: iters left: 6 (49 enodes)
433.654 * * [simplify]: iters left: 5 (251 enodes)
433.750 * * [simplify]: Extracting #0: cost 1 inf + 0
433.750 * * [simplify]: Extracting #1: cost 30 inf + 0
433.750 * * [simplify]: Extracting #2: cost 59 inf + 1
433.750 * * [simplify]: Extracting #3: cost 69 inf + 2
433.750 * * [simplify]: Extracting #4: cost 100 inf + 45
433.751 * * [simplify]: Extracting #5: cost 229 inf + 335
433.753 * * [simplify]: Extracting #6: cost 292 inf + 6638
433.764 * * [simplify]: Extracting #7: cost 145 inf + 57230
433.804 * * [simplify]: Extracting #8: cost 45 inf + 99047
433.870 * * [simplify]: Extracting #9: cost 19 inf + 121186
433.953 * * [simplify]: Extracting #10: cost 3 inf + 137037
434.034 * * [simplify]: Extracting #11: cost 0 inf + 139555
434.120 * [simplify]: Simplified to (* (/ (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))) (sqrt (sqrt (+ (* (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))) -2)
434.120 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))) (sqrt (sqrt (+ (* (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))) -2) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
434.121 * * * * [progress]: [ 317 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
434.121 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
434.122 * * [simplify]: iters left: 6 (49 enodes)
434.140 * * [simplify]: iters left: 5 (244 enodes)
434.228 * * [simplify]: Extracting #0: cost 1 inf + 0
434.228 * * [simplify]: Extracting #1: cost 30 inf + 0
434.228 * * [simplify]: Extracting #2: cost 59 inf + 1
434.228 * * [simplify]: Extracting #3: cost 69 inf + 2
434.229 * * [simplify]: Extracting #4: cost 103 inf + 45
434.230 * * [simplify]: Extracting #5: cost 224 inf + 377
434.233 * * [simplify]: Extracting #6: cost 287 inf + 5994
434.262 * * [simplify]: Extracting #7: cost 102 inf + 68723
434.293 * * [simplify]: Extracting #8: cost 36 inf + 97575
434.367 * * [simplify]: Extracting #9: cost 11 inf + 121733
434.437 * * [simplify]: Extracting #10: cost 0 inf + 134094
434.501 * [simplify]: Simplified to (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (- (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))))))))
434.501 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (- (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
434.503 * * * * [progress]: [ 318 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
434.504 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
434.505 * * [simplify]: iters left: 6 (52 enodes)
434.538 * * [simplify]: iters left: 5 (272 enodes)
434.648 * * [simplify]: Extracting #0: cost 1 inf + 0
434.648 * * [simplify]: Extracting #1: cost 30 inf + 0
434.648 * * [simplify]: Extracting #2: cost 59 inf + 1
434.648 * * [simplify]: Extracting #3: cost 68 inf + 44
434.649 * * [simplify]: Extracting #4: cost 103 inf + 45
434.649 * * [simplify]: Extracting #5: cost 247 inf + 437
434.651 * * [simplify]: Extracting #6: cost 330 inf + 6579
434.661 * * [simplify]: Extracting #7: cost 181 inf + 52417
434.686 * * [simplify]: Extracting #8: cost 57 inf + 103385
434.725 * * [simplify]: Extracting #9: cost 37 inf + 114092
434.767 * * [simplify]: Extracting #10: cost 18 inf + 133495
434.854 * * [simplify]: Extracting #11: cost 3 inf + 152399
434.951 * * [simplify]: Extracting #12: cost 0 inf + 156877
435.012 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))) (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (+ (* (* U U) (* U U)) (* (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* U U) (* U U))))))))))
435.013 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))) (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (+ (* (* U U) (* U U)) (* (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* U U) (* U U)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
435.014 * * * * [progress]: [ 319 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
435.014 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
435.014 * * [simplify]: iters left: 6 (45 enodes)
435.028 * * [simplify]: iters left: 5 (230 enodes)
435.105 * * [simplify]: Extracting #0: cost 1 inf + 0
435.105 * * [simplify]: Extracting #1: cost 30 inf + 0
435.105 * * [simplify]: Extracting #2: cost 59 inf + 1
435.105 * * [simplify]: Extracting #3: cost 69 inf + 2
435.106 * * [simplify]: Extracting #4: cost 91 inf + 45
435.106 * * [simplify]: Extracting #5: cost 213 inf + 437
435.107 * * [simplify]: Extracting #6: cost 311 inf + 1830
435.116 * * [simplify]: Extracting #7: cost 166 inf + 48218
435.143 * * [simplify]: Extracting #8: cost 37 inf + 97176
435.195 * * [simplify]: Extracting #9: cost 12 inf + 118568
435.241 * * [simplify]: Extracting #10: cost 0 inf + 132277
435.300 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)))) (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (/ (* (* U U) U) (* (* 2 (cos (/ K 2))) J)) (/ (* (* U U) U) (* (* 2 (cos (/ K 2))) J)))) (* (- 1 (* (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))))) (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)))))))) (sqrt (sqrt (+ (* (- 1 (* (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* (+ (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) 1) (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)))) (* U U))))))
435.300 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)))) (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (/ (* (* U U) U) (* (* 2 (cos (/ K 2))) J)) (/ (* (* U U) U) (* (* 2 (cos (/ K 2))) J)))) (* (- 1 (* (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))))) (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)))))))) (sqrt (sqrt (+ (* (- 1 (* (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* (+ (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) 1) (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)))) (* U U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
435.302 * * * * [progress]: [ 320 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
435.302 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
435.303 * * [simplify]: iters left: 6 (52 enodes)
435.336 * * [simplify]: iters left: 5 (271 enodes)
435.440 * * [simplify]: Extracting #0: cost 1 inf + 0
435.440 * * [simplify]: Extracting #1: cost 30 inf + 0
435.440 * * [simplify]: Extracting #2: cost 59 inf + 1
435.441 * * [simplify]: Extracting #3: cost 68 inf + 44
435.441 * * [simplify]: Extracting #4: cost 103 inf + 45
435.442 * * [simplify]: Extracting #5: cost 246 inf + 662
435.446 * * [simplify]: Extracting #6: cost 326 inf + 6038
435.468 * * [simplify]: Extracting #7: cost 179 inf + 54296
435.495 * * [simplify]: Extracting #8: cost 45 inf + 110856
435.547 * * [simplify]: Extracting #9: cost 19 inf + 129789
435.610 * * [simplify]: Extracting #10: cost 2 inf + 151965
435.717 * * [simplify]: Extracting #11: cost 0 inf + 155059
435.821 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (* (* U U) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (+ 1 (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))))
435.821 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (* (* U U) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (+ 1 (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
435.823 * * * * [progress]: [ 321 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
435.823 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
435.824 * * [simplify]: iters left: 6 (45 enodes)
435.852 * * [simplify]: iters left: 5 (228 enodes)
435.940 * * [simplify]: Extracting #0: cost 1 inf + 0
435.941 * * [simplify]: Extracting #1: cost 30 inf + 0
435.941 * * [simplify]: Extracting #2: cost 59 inf + 1
435.941 * * [simplify]: Extracting #3: cost 68 inf + 44
435.942 * * [simplify]: Extracting #4: cost 91 inf + 45
435.943 * * [simplify]: Extracting #5: cost 207 inf + 520
435.946 * * [simplify]: Extracting #6: cost 282 inf + 4131
435.964 * * [simplify]: Extracting #7: cost 121 inf + 53546
436.007 * * [simplify]: Extracting #8: cost 37 inf + 88867
436.064 * * [simplify]: Extracting #9: cost 13 inf + 111094
436.114 * * [simplify]: Extracting #10: cost 0 inf + 126200
436.160 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* U U)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* U U)))) (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J))))))) (/ (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))))))
436.160 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* U U)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* U U)))) (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J))))))) (/ (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
436.161 * * * * [progress]: [ 322 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
436.162 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
436.162 * * [simplify]: iters left: 6 (53 enodes)
436.199 * * [simplify]: iters left: 5 (272 enodes)
436.334 * * [simplify]: Extracting #0: cost 1 inf + 0
436.334 * * [simplify]: Extracting #1: cost 30 inf + 0
436.335 * * [simplify]: Extracting #2: cost 59 inf + 1
436.335 * * [simplify]: Extracting #3: cost 69 inf + 2
436.336 * * [simplify]: Extracting #4: cost 102 inf + 45
436.337 * * [simplify]: Extracting #5: cost 241 inf + 478
436.340 * * [simplify]: Extracting #6: cost 330 inf + 4164
436.364 * * [simplify]: Extracting #7: cost 161 inf + 61574
436.415 * * [simplify]: Extracting #8: cost 46 inf + 108848
436.482 * * [simplify]: Extracting #9: cost 29 inf + 121319
436.537 * * [simplify]: Extracting #10: cost 16 inf + 136531
436.625 * * [simplify]: Extracting #11: cost 2 inf + 153888
436.696 * * [simplify]: Extracting #12: cost 0 inf + 155540
436.777 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (* 2 (cos (/ K 2))) (* J (* (* 2 (cos (/ K 2))) (* J (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))) (* (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) U)))) (/ -2 (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* 2 (* (cos (/ K 2)) J))))) (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* U U))))))))
436.777 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (* 2 (cos (/ K 2))) (* J (* (* 2 (cos (/ K 2))) (* J (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))) (* (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) U)))) (/ -2 (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* 2 (* (cos (/ K 2)) J))))) (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* U U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
436.779 * * * * [progress]: [ 323 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
436.779 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
436.780 * * [simplify]: iters left: 6 (46 enodes)
436.808 * * [simplify]: iters left: 5 (231 enodes)
436.879 * * [simplify]: Extracting #0: cost 1 inf + 0
436.879 * * [simplify]: Extracting #1: cost 30 inf + 0
436.879 * * [simplify]: Extracting #2: cost 59 inf + 1
436.880 * * [simplify]: Extracting #3: cost 69 inf + 2
436.880 * * [simplify]: Extracting #4: cost 91 inf + 45
436.881 * * [simplify]: Extracting #5: cost 201 inf + 520
436.884 * * [simplify]: Extracting #6: cost 288 inf + 2234
436.891 * * [simplify]: Extracting #7: cost 206 inf + 21882
436.915 * * [simplify]: Extracting #8: cost 89 inf + 63894
436.958 * * [simplify]: Extracting #9: cost 35 inf + 92718
437.016 * * [simplify]: Extracting #10: cost 15 inf + 111986
437.064 * * [simplify]: Extracting #11: cost 0 inf + 129371
437.117 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (+ (* (* U U) (/ (/ (* U U) (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ (* U U) (* (cos (/ K 2)) J)) 2) (/ (/ (* U U) (* (cos (/ K 2)) J)) 2)) (/ (/ (* U U) (* (cos (/ K 2)) J)) 2)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* U U) (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) 1)))))))
437.117 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (+ (* (* U U) (/ (/ (* U U) (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ (* U U) (* (cos (/ K 2)) J)) 2) (/ (/ (* U U) (* (cos (/ K 2)) J)) 2)) (/ (/ (* U U) (* (cos (/ K 2)) J)) 2)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* U U) (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) 1))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
437.118 * * * * [progress]: [ 324 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
437.118 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
437.119 * * [simplify]: iters left: 6 (52 enodes)
437.136 * * [simplify]: iters left: 5 (273 enodes)
437.226 * * [simplify]: Extracting #0: cost 1 inf + 0
437.227 * * [simplify]: Extracting #1: cost 30 inf + 0
437.227 * * [simplify]: Extracting #2: cost 59 inf + 1
437.227 * * [simplify]: Extracting #3: cost 69 inf + 2
437.228 * * [simplify]: Extracting #4: cost 103 inf + 45
437.229 * * [simplify]: Extracting #5: cost 256 inf + 580
437.233 * * [simplify]: Extracting #6: cost 327 inf + 7858
437.246 * * [simplify]: Extracting #7: cost 178 inf + 55048
437.276 * * [simplify]: Extracting #8: cost 52 inf + 106873
437.319 * * [simplify]: Extracting #9: cost 25 inf + 127324
437.384 * * [simplify]: Extracting #10: cost 1 inf + 156300
437.477 * * [simplify]: Extracting #11: cost 0 inf + 157726
437.579 * [simplify]: Simplified to (/ -2 (/ (* (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* U U)) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))) (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J))))
437.579 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ -2 (/ (* (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* U U)) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))) (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
437.581 * * * * [progress]: [ 325 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
437.582 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
437.583 * * [simplify]: iters left: 6 (45 enodes)
437.610 * * [simplify]: iters left: 5 (232 enodes)
437.738 * * [simplify]: Extracting #0: cost 1 inf + 0
437.738 * * [simplify]: Extracting #1: cost 30 inf + 0
437.738 * * [simplify]: Extracting #2: cost 59 inf + 1
437.739 * * [simplify]: Extracting #3: cost 68 inf + 44
437.739 * * [simplify]: Extracting #4: cost 90 inf + 45
437.740 * * [simplify]: Extracting #5: cost 211 inf + 479
437.743 * * [simplify]: Extracting #6: cost 295 inf + 3757
437.764 * * [simplify]: Extracting #7: cost 107 inf + 62643
437.811 * * [simplify]: Extracting #8: cost 35 inf + 96076
437.863 * * [simplify]: Extracting #9: cost 11 inf + 119817
437.927 * * [simplify]: Extracting #10: cost 0 inf + 131419
437.988 * * [simplify]: Extracting #11: cost 0 inf + 130419
438.055 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* U U) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1)))) (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* U U))))))
438.055 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* U U) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1)))) (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* U U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
438.056 * * * * [progress]: [ 326 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
438.057 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
438.058 * * [simplify]: iters left: 6 (49 enodes)
438.077 * * [simplify]: iters left: 5 (256 enodes)
438.175 * * [simplify]: Extracting #0: cost 1 inf + 0
438.175 * * [simplify]: Extracting #1: cost 30 inf + 0
438.176 * * [simplify]: Extracting #2: cost 59 inf + 1
438.176 * * [simplify]: Extracting #3: cost 68 inf + 44
438.176 * * [simplify]: Extracting #4: cost 104 inf + 45
438.177 * * [simplify]: Extracting #5: cost 238 inf + 805
438.178 * * [simplify]: Extracting #6: cost 318 inf + 5735
438.189 * * [simplify]: Extracting #7: cost 161 inf + 58322
438.218 * * [simplify]: Extracting #8: cost 48 inf + 109724
438.268 * * [simplify]: Extracting #9: cost 15 inf + 133118
438.353 * * [simplify]: Extracting #10: cost 4 inf + 145360
438.420 * * [simplify]: Extracting #11: cost 0 inf + 150344
438.483 * [simplify]: Simplified to (/ (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U U)))))) (sqrt (sqrt (+ (* (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) U) (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))))))
438.483 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U U)))))) (sqrt (sqrt (+ (* (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) U) (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
438.484 * * * * [progress]: [ 327 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
438.484 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
438.485 * * [simplify]: iters left: 6 (37 enodes)
438.498 * * [simplify]: iters left: 5 (184 enodes)
438.581 * * [simplify]: Extracting #0: cost 1 inf + 0
438.581 * * [simplify]: Extracting #1: cost 24 inf + 0
438.582 * * [simplify]: Extracting #2: cost 51 inf + 1
438.582 * * [simplify]: Extracting #3: cost 59 inf + 44
438.582 * * [simplify]: Extracting #4: cost 115 inf + 45
438.584 * * [simplify]: Extracting #5: cost 250 inf + 765
438.587 * * [simplify]: Extracting #6: cost 226 inf + 7335
438.606 * * [simplify]: Extracting #7: cost 73 inf + 52404
438.638 * * [simplify]: Extracting #8: cost 32 inf + 68733
438.674 * * [simplify]: Extracting #9: cost 18 inf + 79571
438.704 * * [simplify]: Extracting #10: cost 4 inf + 91887
438.754 * * [simplify]: Extracting #11: cost 0 inf + 95230
438.806 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (+ (* (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U))))) -2))
438.806 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (+ (* (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U))))) -2)) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
438.807 * * * * [progress]: [ 328 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
438.808 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
438.809 * * [simplify]: iters left: 6 (51 enodes)
438.843 * * [simplify]: iters left: 5 (262 enodes)
438.960 * * [simplify]: Extracting #0: cost 1 inf + 0
438.960 * * [simplify]: Extracting #1: cost 30 inf + 0
438.960 * * [simplify]: Extracting #2: cost 59 inf + 1
438.960 * * [simplify]: Extracting #3: cost 68 inf + 44
438.960 * * [simplify]: Extracting #4: cost 108 inf + 45
438.961 * * [simplify]: Extracting #5: cost 263 inf + 662
438.963 * * [simplify]: Extracting #6: cost 326 inf + 4484
438.983 * * [simplify]: Extracting #7: cost 166 inf + 57535
439.009 * * [simplify]: Extracting #8: cost 62 inf + 100594
439.053 * * [simplify]: Extracting #9: cost 37 inf + 114735
439.094 * * [simplify]: Extracting #10: cost 24 inf + 127787
439.160 * * [simplify]: Extracting #11: cost 2 inf + 152748
439.227 * * [simplify]: Extracting #12: cost 0 inf + 154880
439.305 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* (+ 1 (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U))))))) (sqrt (sqrt (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U)) (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))))))
439.305 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* (+ 1 (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U))))))) (sqrt (sqrt (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U)) (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
439.306 * * * * [progress]: [ 329 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
439.307 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
439.307 * * [simplify]: iters left: 6 (43 enodes)
439.330 * * [simplify]: iters left: 5 (207 enodes)
439.383 * * [simplify]: Extracting #0: cost 1 inf + 0
439.384 * * [simplify]: Extracting #1: cost 24 inf + 0
439.384 * * [simplify]: Extracting #2: cost 51 inf + 1
439.384 * * [simplify]: Extracting #3: cost 60 inf + 2
439.384 * * [simplify]: Extracting #4: cost 117 inf + 45
439.385 * * [simplify]: Extracting #5: cost 252 inf + 807
439.386 * * [simplify]: Extracting #6: cost 235 inf + 4844
439.393 * * [simplify]: Extracting #7: cost 118 inf + 41707
439.422 * * [simplify]: Extracting #8: cost 34 inf + 74159
439.462 * * [simplify]: Extracting #9: cost 7 inf + 91682
439.500 * * [simplify]: Extracting #10: cost 0 inf + 96823
439.529 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (+ (* (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) 1))) (* (- 1 (* (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))) -2))
439.529 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (+ (* (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) 1))) (* (- 1 (* (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))) -2)) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
439.531 * * * * [progress]: [ 330 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
439.531 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
439.532 * * [simplify]: iters left: 6 (53 enodes)
439.566 * * [simplify]: iters left: 5 (273 enodes)
439.672 * * [simplify]: Extracting #0: cost 1 inf + 0
439.672 * * [simplify]: Extracting #1: cost 30 inf + 0
439.672 * * [simplify]: Extracting #2: cost 59 inf + 1
439.673 * * [simplify]: Extracting #3: cost 69 inf + 2
439.673 * * [simplify]: Extracting #4: cost 102 inf + 45
439.675 * * [simplify]: Extracting #5: cost 246 inf + 662
439.678 * * [simplify]: Extracting #6: cost 325 inf + 4329
439.698 * * [simplify]: Extracting #7: cost 156 inf + 59293
439.740 * * [simplify]: Extracting #8: cost 55 inf + 101491
439.795 * * [simplify]: Extracting #9: cost 32 inf + 116232
439.831 * * [simplify]: Extracting #10: cost 20 inf + 127617
439.888 * * [simplify]: Extracting #11: cost 8 inf + 141364
439.965 * * [simplify]: Extracting #12: cost 0 inf + 152410
440.020 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U)))))) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* U U)))))))
440.020 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U)))))) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* U U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
440.021 * * * * [progress]: [ 331 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
440.021 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
440.021 * * [simplify]: iters left: 6 (46 enodes)
440.044 * * [simplify]: iters left: 5 (233 enodes)
440.130 * * [simplify]: Extracting #0: cost 1 inf + 0
440.130 * * [simplify]: Extracting #1: cost 30 inf + 0
440.130 * * [simplify]: Extracting #2: cost 59 inf + 1
440.130 * * [simplify]: Extracting #3: cost 68 inf + 44
440.130 * * [simplify]: Extracting #4: cost 90 inf + 45
440.131 * * [simplify]: Extracting #5: cost 203 inf + 437
440.132 * * [simplify]: Extracting #6: cost 288 inf + 3539
440.140 * * [simplify]: Extracting #7: cost 134 inf + 50389
440.167 * * [simplify]: Extracting #8: cost 47 inf + 84025
440.192 * * [simplify]: Extracting #9: cost 20 inf + 105107
440.255 * * [simplify]: Extracting #10: cost 5 inf + 122332
440.329 * * [simplify]: Extracting #11: cost 0 inf + 128500
440.379 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* U U)))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))))))))
440.379 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* U U)))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
440.381 * * * * [progress]: [ 332 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
440.382 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
440.382 * * [simplify]: iters left: 6 (51 enodes)
440.415 * * [simplify]: iters left: 5 (262 enodes)
440.514 * * [simplify]: Extracting #0: cost 1 inf + 0
440.514 * * [simplify]: Extracting #1: cost 30 inf + 0
440.515 * * [simplify]: Extracting #2: cost 59 inf + 1
440.515 * * [simplify]: Extracting #3: cost 68 inf + 44
440.516 * * [simplify]: Extracting #4: cost 108 inf + 45
440.517 * * [simplify]: Extracting #5: cost 266 inf + 561
440.520 * * [simplify]: Extracting #6: cost 333 inf + 4749
440.540 * * [simplify]: Extracting #7: cost 181 inf + 56354
440.568 * * [simplify]: Extracting #8: cost 58 inf + 107095
440.618 * * [simplify]: Extracting #9: cost 30 inf + 123312
440.679 * * [simplify]: Extracting #10: cost 7 inf + 147021
440.746 * * [simplify]: Extracting #11: cost 0 inf + 155560
440.839 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) U) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) U)))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* U U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1))))))))
440.839 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) U) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) U)))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* U U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
440.841 * * * * [progress]: [ 333 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
440.841 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
440.842 * * [simplify]: iters left: 6 (43 enodes)
440.864 * * [simplify]: iters left: 5 (206 enodes)
440.931 * * [simplify]: Extracting #0: cost 1 inf + 0
440.931 * * [simplify]: Extracting #1: cost 24 inf + 0
440.931 * * [simplify]: Extracting #2: cost 51 inf + 1
440.931 * * [simplify]: Extracting #3: cost 60 inf + 2
440.932 * * [simplify]: Extracting #4: cost 115 inf + 45
440.933 * * [simplify]: Extracting #5: cost 249 inf + 479
440.936 * * [simplify]: Extracting #6: cost 232 inf + 4235
440.952 * * [simplify]: Extracting #7: cost 102 inf + 46547
440.985 * * [simplify]: Extracting #8: cost 29 inf + 74497
441.016 * * [simplify]: Extracting #9: cost 7 inf + 92420
441.057 * * [simplify]: Extracting #10: cost 0 inf + 98118
441.112 * * [simplify]: Extracting #11: cost 0 inf + 97758
441.141 * [simplify]: Simplified to (/ -2 (/ (sqrt (+ (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (* U U) (+ (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) 1))) (* (- 1 (* (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))) (* (sqrt (+ (* (* (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J))))
441.141 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ -2 (/ (sqrt (+ (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (* U U) (+ (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) 1))) (* (- 1 (* (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))) (* (sqrt (+ (* (* (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
441.143 * * * * [progress]: [ 334 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
441.143 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
441.144 * * [simplify]: iters left: 6 (51 enodes)
441.176 * * [simplify]: iters left: 5 (262 enodes)
441.263 * * [simplify]: Extracting #0: cost 1 inf + 0
441.264 * * [simplify]: Extracting #1: cost 30 inf + 0
441.264 * * [simplify]: Extracting #2: cost 59 inf + 1
441.264 * * [simplify]: Extracting #3: cost 69 inf + 2
441.264 * * [simplify]: Extracting #4: cost 105 inf + 45
441.265 * * [simplify]: Extracting #5: cost 257 inf + 663
441.266 * * [simplify]: Extracting #6: cost 325 inf + 4001
441.290 * * [simplify]: Extracting #7: cost 147 inf + 64861
441.322 * * [simplify]: Extracting #8: cost 50 inf + 104543
441.372 * * [simplify]: Extracting #9: cost 33 inf + 115250
441.424 * * [simplify]: Extracting #10: cost 6 inf + 141180
441.490 * * [simplify]: Extracting #11: cost 0 inf + 148693
441.567 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))))))
441.567 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
441.569 * * * * [progress]: [ 335 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
441.569 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
441.570 * * [simplify]: iters left: 6 (43 enodes)
441.594 * * [simplify]: iters left: 5 (206 enodes)
441.693 * * [simplify]: Extracting #0: cost 1 inf + 0
441.693 * * [simplify]: Extracting #1: cost 24 inf + 0
441.694 * * [simplify]: Extracting #2: cost 51 inf + 1
441.694 * * [simplify]: Extracting #3: cost 60 inf + 2
441.694 * * [simplify]: Extracting #4: cost 117 inf + 45
441.696 * * [simplify]: Extracting #5: cost 251 inf + 930
441.699 * * [simplify]: Extracting #6: cost 223 inf + 6720
441.716 * * [simplify]: Extracting #7: cost 86 inf + 48291
441.732 * * [simplify]: Extracting #8: cost 36 inf + 68610
441.757 * * [simplify]: Extracting #9: cost 26 inf + 74946
441.801 * * [simplify]: Extracting #10: cost 8 inf + 90543
441.853 * * [simplify]: Extracting #11: cost 0 inf + 97278
441.908 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* U U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1))) (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J)))))
441.908 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* U U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1))) (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
441.910 * * * * [progress]: [ 336 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
441.910 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
441.911 * * [simplify]: iters left: 6 (51 enodes)
441.937 * * [simplify]: iters left: 5 (258 enodes)
442.031 * * [simplify]: Extracting #0: cost 1 inf + 0
442.031 * * [simplify]: Extracting #1: cost 30 inf + 0
442.031 * * [simplify]: Extracting #2: cost 59 inf + 1
442.032 * * [simplify]: Extracting #3: cost 69 inf + 2
442.032 * * [simplify]: Extracting #4: cost 103 inf + 45
442.032 * * [simplify]: Extracting #5: cost 243 inf + 335
442.034 * * [simplify]: Extracting #6: cost 311 inf + 7089
442.050 * * [simplify]: Extracting #7: cost 139 inf + 64451
442.098 * * [simplify]: Extracting #8: cost 44 inf + 103992
442.140 * * [simplify]: Extracting #9: cost 22 inf + 121349
442.192 * * [simplify]: Extracting #10: cost 1 inf + 144127
442.263 * * [simplify]: Extracting #11: cost 0 inf + 145433
442.319 * [simplify]: Simplified to (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* U U))))))
442.320 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* U U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
442.321 * * * * [progress]: [ 337 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
442.322 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
442.323 * * [simplify]: iters left: 6 (43 enodes)
442.345 * * [simplify]: iters left: 5 (199 enodes)
442.416 * * [simplify]: Extracting #0: cost 1 inf + 0
442.417 * * [simplify]: Extracting #1: cost 24 inf + 0
442.417 * * [simplify]: Extracting #2: cost 51 inf + 1
442.417 * * [simplify]: Extracting #3: cost 59 inf + 44
442.418 * * [simplify]: Extracting #4: cost 114 inf + 45
442.419 * * [simplify]: Extracting #5: cost 247 inf + 519
442.423 * * [simplify]: Extracting #6: cost 209 inf + 8967
442.444 * * [simplify]: Extracting #7: cost 82 inf + 48571
442.478 * * [simplify]: Extracting #8: cost 29 inf + 71722
442.512 * * [simplify]: Extracting #9: cost 5 inf + 91974
442.557 * * [simplify]: Extracting #10: cost 0 inf + 96663
442.613 * [simplify]: Simplified to (/ (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (/ (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (* U U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* U U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (* (cos (/ K 2)) J) -2)))
442.613 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (/ (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (* U U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* U U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (* (cos (/ K 2)) J) -2))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
442.614 * * * * [progress]: [ 338 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
442.615 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
442.616 * * [simplify]: iters left: 6 (50 enodes)
442.651 * * [simplify]: iters left: 5 (264 enodes)
442.740 * * [simplify]: Extracting #0: cost 1 inf + 0
442.740 * * [simplify]: Extracting #1: cost 30 inf + 0
442.740 * * [simplify]: Extracting #2: cost 59 inf + 1
442.741 * * [simplify]: Extracting #3: cost 69 inf + 2
442.741 * * [simplify]: Extracting #4: cost 103 inf + 45
442.742 * * [simplify]: Extracting #5: cost 232 inf + 580
442.745 * * [simplify]: Extracting #6: cost 321 inf + 3927
442.772 * * [simplify]: Extracting #7: cost 123 inf + 71343
442.805 * * [simplify]: Extracting #8: cost 42 inf + 104182
442.854 * * [simplify]: Extracting #9: cost 30 inf + 113328
442.928 * * [simplify]: Extracting #10: cost 2 inf + 142603
442.999 * * [simplify]: Extracting #11: cost 0 inf + 145375
443.077 * [simplify]: Simplified to (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (/ (/ U 2) (* (cos (/ K 2)) J))) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))))))
443.077 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (/ (/ U 2) (* (cos (/ K 2)) J))) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
443.079 * * * * [progress]: [ 339 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
443.079 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
443.080 * * [simplify]: iters left: 6 (43 enodes)
443.095 * * [simplify]: iters left: 5 (221 enodes)
443.198 * * [simplify]: Extracting #0: cost 1 inf + 0
443.198 * * [simplify]: Extracting #1: cost 30 inf + 0
443.198 * * [simplify]: Extracting #2: cost 59 inf + 1
443.198 * * [simplify]: Extracting #3: cost 68 inf + 44
443.199 * * [simplify]: Extracting #4: cost 89 inf + 45
443.200 * * [simplify]: Extracting #5: cost 209 inf + 335
443.207 * * [simplify]: Extracting #6: cost 255 inf + 6668
443.226 * * [simplify]: Extracting #7: cost 114 inf + 50228
443.262 * * [simplify]: Extracting #8: cost 41 inf + 79237
443.303 * * [simplify]: Extracting #9: cost 15 inf + 102583
443.360 * * [simplify]: Extracting #10: cost 0 inf + 117789
443.417 * * [simplify]: Extracting #11: cost 0 inf + 117078
443.477 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (+ (* (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))))) (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (cos (/ K 2)) J))) (* (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* U U))))))
443.477 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (+ (* (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))))) (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (cos (/ K 2)) J))) (* (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* U U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
443.478 * * * * [progress]: [ 340 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
443.478 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
443.478 * * [simplify]: iters left: 6 (51 enodes)
443.495 * * [simplify]: iters left: 5 (264 enodes)
443.621 * * [simplify]: Extracting #0: cost 1 inf + 0
443.621 * * [simplify]: Extracting #1: cost 30 inf + 0
443.622 * * [simplify]: Extracting #2: cost 59 inf + 1
443.622 * * [simplify]: Extracting #3: cost 69 inf + 2
443.622 * * [simplify]: Extracting #4: cost 100 inf + 45
443.624 * * [simplify]: Extracting #5: cost 220 inf + 663
443.627 * * [simplify]: Extracting #6: cost 314 inf + 3685
443.650 * * [simplify]: Extracting #7: cost 143 inf + 61685
443.703 * * [simplify]: Extracting #8: cost 45 inf + 100818
443.768 * * [simplify]: Extracting #9: cost 22 inf + 120760
443.833 * * [simplify]: Extracting #10: cost 3 inf + 141327
443.933 * * [simplify]: Extracting #11: cost 0 inf + 144804
444.009 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (cos (/ K 2))) (* 2 J)) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))))
444.009 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (cos (/ K 2))) (* 2 J)) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
444.011 * * * * [progress]: [ 341 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
444.012 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
444.012 * * [simplify]: iters left: 6 (44 enodes)
444.031 * * [simplify]: iters left: 5 (223 enodes)
444.114 * * [simplify]: Extracting #0: cost 1 inf + 0
444.114 * * [simplify]: Extracting #1: cost 30 inf + 0
444.114 * * [simplify]: Extracting #2: cost 59 inf + 1
444.115 * * [simplify]: Extracting #3: cost 68 inf + 44
444.115 * * [simplify]: Extracting #4: cost 92 inf + 45
444.115 * * [simplify]: Extracting #5: cost 203 inf + 519
444.117 * * [simplify]: Extracting #6: cost 274 inf + 3621
444.127 * * [simplify]: Extracting #7: cost 120 inf + 51574
444.147 * * [simplify]: Extracting #8: cost 47 inf + 78696
444.174 * * [simplify]: Extracting #9: cost 33 inf + 87807
444.237 * * [simplify]: Extracting #10: cost 10 inf + 110196
444.291 * * [simplify]: Extracting #11: cost 0 inf + 120891
444.340 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) (* J -2))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (cos (/ K 2))) J)) (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) U) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) U))))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)) (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)))))))
444.340 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) (* J -2))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (cos (/ K 2))) J)) (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) U) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) U))))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)) (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
444.341 * * * * [progress]: [ 342 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
444.341 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
444.341 * * [simplify]: iters left: 6 (51 enodes)
444.359 * * [simplify]: iters left: 5 (266 enodes)
444.480 * * [simplify]: Extracting #0: cost 1 inf + 0
444.480 * * [simplify]: Extracting #1: cost 30 inf + 0
444.480 * * [simplify]: Extracting #2: cost 59 inf + 1
444.480 * * [simplify]: Extracting #3: cost 68 inf + 44
444.481 * * [simplify]: Extracting #4: cost 108 inf + 45
444.482 * * [simplify]: Extracting #5: cost 284 inf + 888
444.491 * * [simplify]: Extracting #6: cost 336 inf + 6464
444.513 * * [simplify]: Extracting #7: cost 178 inf + 60698
444.552 * * [simplify]: Extracting #8: cost 49 inf + 117162
444.614 * * [simplify]: Extracting #9: cost 20 inf + 137865
444.678 * * [simplify]: Extracting #10: cost 1 inf + 158751
444.747 * * [simplify]: Extracting #11: cost 0 inf + 159497
444.830 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* U U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))
444.830 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* U U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
444.832 * * * * [progress]: [ 343 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
444.832 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
444.833 * * [simplify]: iters left: 6 (43 enodes)
444.859 * * [simplify]: iters left: 5 (220 enodes)
444.941 * * [simplify]: Extracting #0: cost 1 inf + 0
444.942 * * [simplify]: Extracting #1: cost 24 inf + 0
444.942 * * [simplify]: Extracting #2: cost 51 inf + 1
444.942 * * [simplify]: Extracting #3: cost 60 inf + 2
444.943 * * [simplify]: Extracting #4: cost 118 inf + 45
444.944 * * [simplify]: Extracting #5: cost 259 inf + 704
444.948 * * [simplify]: Extracting #6: cost 221 inf + 9133
444.963 * * [simplify]: Extracting #7: cost 102 inf + 43111
445.001 * * [simplify]: Extracting #8: cost 26 inf + 77164
445.050 * * [simplify]: Extracting #9: cost 6 inf + 91693
445.107 * * [simplify]: Extracting #10: cost 0 inf + 97092
445.164 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J)) (* (* U U) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) -2))
445.164 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J)) (* (* U U) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) -2)) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
445.165 * * * * [progress]: [ 344 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
445.166 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
445.166 * * [simplify]: iters left: 6 (50 enodes)
445.200 * * [simplify]: iters left: 5 (263 enodes)
445.316 * * [simplify]: Extracting #0: cost 1 inf + 0
445.316 * * [simplify]: Extracting #1: cost 30 inf + 0
445.317 * * [simplify]: Extracting #2: cost 59 inf + 1
445.317 * * [simplify]: Extracting #3: cost 68 inf + 44
445.317 * * [simplify]: Extracting #4: cost 103 inf + 45
445.319 * * [simplify]: Extracting #5: cost 233 inf + 479
445.322 * * [simplify]: Extracting #6: cost 306 inf + 6903
445.343 * * [simplify]: Extracting #7: cost 136 inf + 65350
445.372 * * [simplify]: Extracting #8: cost 50 inf + 100825
445.434 * * [simplify]: Extracting #9: cost 31 inf + 113499
445.502 * * [simplify]: Extracting #10: cost 5 inf + 141442
445.580 * * [simplify]: Extracting #11: cost 0 inf + 147772
445.657 * * [simplify]: Extracting #12: cost 0 inf + 147732
445.748 * [simplify]: Simplified to (/ -2 (/ (* (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* 2 (* (cos (/ K 2)) J))) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (+ (* (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))))) (* (sqrt (+ 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (cos (/ K 2)) J))))
445.748 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ -2 (/ (* (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* 2 (* (cos (/ K 2)) J))) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (+ (* (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))))) (* (sqrt (+ 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (cos (/ K 2)) J)))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
445.749 * * * * [progress]: [ 345 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
445.749 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
445.750 * * [simplify]: iters left: 6 (43 enodes)
445.763 * * [simplify]: iters left: 5 (221 enodes)
445.824 * * [simplify]: Extracting #0: cost 1 inf + 0
445.824 * * [simplify]: Extracting #1: cost 30 inf + 0
445.824 * * [simplify]: Extracting #2: cost 59 inf + 1
445.825 * * [simplify]: Extracting #3: cost 69 inf + 2
445.825 * * [simplify]: Extracting #4: cost 90 inf + 45
445.825 * * [simplify]: Extracting #5: cost 203 inf + 335
445.827 * * [simplify]: Extracting #6: cost 259 inf + 5693
445.838 * * [simplify]: Extracting #7: cost 100 inf + 57379
445.859 * * [simplify]: Extracting #8: cost 33 inf + 85875
445.889 * * [simplify]: Extracting #9: cost 9 inf + 107693
445.960 * * [simplify]: Extracting #10: cost 0 inf + 116942
446.012 * * [simplify]: Extracting #11: cost 0 inf + 116591
446.051 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1)) (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (cos (/ K 2)) J)) 2)))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J)) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* U U))))))
446.051 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1)) (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (cos (/ K 2)) J)) 2)))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J)) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* U U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
446.052 * * * * [progress]: [ 346 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
446.052 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
446.053 * * [simplify]: iters left: 6 (51 enodes)
446.083 * * [simplify]: iters left: 5 (264 enodes)
446.220 * * [simplify]: Extracting #0: cost 1 inf + 0
446.220 * * [simplify]: Extracting #1: cost 30 inf + 0
446.220 * * [simplify]: Extracting #2: cost 59 inf + 1
446.220 * * [simplify]: Extracting #3: cost 68 inf + 44
446.221 * * [simplify]: Extracting #4: cost 103 inf + 45
446.222 * * [simplify]: Extracting #5: cost 223 inf + 764
446.225 * * [simplify]: Extracting #6: cost 307 inf + 5025
446.249 * * [simplify]: Extracting #7: cost 132 inf + 66207
446.304 * * [simplify]: Extracting #8: cost 39 inf + 106707
446.375 * * [simplify]: Extracting #9: cost 15 inf + 129479
446.466 * * [simplify]: Extracting #10: cost 0 inf + 146983
446.532 * * [simplify]: Extracting #11: cost 0 inf + 145783
446.589 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) U) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) U) (/ (/ (/ U 2) (cos (/ K 2))) J)))))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) 1) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* U U)))))))
446.589 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) U) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) U) (/ (/ (/ U 2) (cos (/ K 2))) J)))))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) 1) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* U U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
446.590 * * * * [progress]: [ 347 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
446.590 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
446.591 * * [simplify]: iters left: 6 (44 enodes)
446.605 * * [simplify]: iters left: 5 (223 enodes)
446.684 * * [simplify]: Extracting #0: cost 1 inf + 0
446.684 * * [simplify]: Extracting #1: cost 30 inf + 0
446.684 * * [simplify]: Extracting #2: cost 59 inf + 1
446.684 * * [simplify]: Extracting #3: cost 68 inf + 44
446.684 * * [simplify]: Extracting #4: cost 91 inf + 45
446.685 * * [simplify]: Extracting #5: cost 203 inf + 662
446.686 * * [simplify]: Extracting #6: cost 277 inf + 2665
446.694 * * [simplify]: Extracting #7: cost 158 inf + 41608
446.727 * * [simplify]: Extracting #8: cost 35 inf + 90227
446.770 * * [simplify]: Extracting #9: cost 9 inf + 110490
446.820 * * [simplify]: Extracting #10: cost 1 inf + 118295
446.895 * * [simplify]: Extracting #11: cost 0 inf + 119361
446.939 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)) (sqrt (sqrt (+ (* (- 1 (* (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))))) (* (* 2 (cos (/ K 2))) J)) (* (+ (* (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)))) (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)))) (/ (* U U) (* (* 2 (cos (/ K 2))) J))))))) (/ (* (cos (/ K 2)) (* J -2)) (sqrt (sqrt (+ (* (- 1 (* (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (+ (* (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)))) (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)))) (* U U)))))))
446.939 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)) (sqrt (sqrt (+ (* (- 1 (* (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))))) (* (* 2 (cos (/ K 2))) J)) (* (+ (* (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)))) (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)))) (/ (* U U) (* (* 2 (cos (/ K 2))) J))))))) (/ (* (cos (/ K 2)) (* J -2)) (sqrt (sqrt (+ (* (- 1 (* (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (+ (* (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)))) (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)))) (* U U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
446.940 * * * * [progress]: [ 348 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
446.941 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3))))))
446.941 * * [simplify]: iters left: 6 (45 enodes)
446.969 * * [simplify]: iters left: 5 (227 enodes)
447.051 * * [simplify]: Extracting #0: cost 1 inf + 0
447.051 * * [simplify]: Extracting #1: cost 30 inf + 0
447.051 * * [simplify]: Extracting #2: cost 59 inf + 1
447.052 * * [simplify]: Extracting #3: cost 69 inf + 2
447.052 * * [simplify]: Extracting #4: cost 94 inf + 45
447.052 * * [simplify]: Extracting #5: cost 216 inf + 335
447.053 * * [simplify]: Extracting #6: cost 289 inf + 1953
447.059 * * [simplify]: Extracting #7: cost 237 inf + 14037
447.071 * * [simplify]: Extracting #8: cost 106 inf + 59600
447.099 * * [simplify]: Extracting #9: cost 42 inf + 86586
447.146 * * [simplify]: Extracting #10: cost 20 inf + 104422
447.191 * * [simplify]: Extracting #11: cost 2 inf + 123606
447.243 * * [simplify]: Extracting #12: cost 0 inf + 125336
447.293 * [simplify]: Simplified to (/ (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (/ (* (sqrt (sqrt (+ (* (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))))))) (* (* (cos (/ K 2)) J) -2)))
447.293 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (/ (* (sqrt (sqrt (+ (* (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))))))) (* (* (cos (/ K 2)) J) -2))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
447.294 * * * * [progress]: [ 349 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
447.294 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
447.295 * * [simplify]: iters left: 6 (44 enodes)
447.323 * * [simplify]: iters left: 5 (227 enodes)
447.404 * * [simplify]: Extracting #0: cost 1 inf + 0
447.404 * * [simplify]: Extracting #1: cost 30 inf + 0
447.404 * * [simplify]: Extracting #2: cost 59 inf + 1
447.404 * * [simplify]: Extracting #3: cost 69 inf + 2
447.405 * * [simplify]: Extracting #4: cost 99 inf + 45
447.406 * * [simplify]: Extracting #5: cost 215 inf + 479
447.408 * * [simplify]: Extracting #6: cost 275 inf + 3168
447.423 * * [simplify]: Extracting #7: cost 152 inf + 41282
447.458 * * [simplify]: Extracting #8: cost 46 inf + 81456
447.518 * * [simplify]: Extracting #9: cost 12 inf + 103668
447.596 * * [simplify]: Extracting #10: cost 0 inf + 116137
447.655 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (- (* (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) (* (- 1 (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (- 1 (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))))))) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))))))))
447.655 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (- (* (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) (* (- 1 (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (- 1 (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))))))) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
447.656 * * * * [progress]: [ 350 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
447.656 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
447.657 * * [simplify]: iters left: 6 (51 enodes)
447.679 * * [simplify]: iters left: 5 (259 enodes)
447.770 * * [simplify]: Extracting #0: cost 1 inf + 0
447.770 * * [simplify]: Extracting #1: cost 30 inf + 0
447.770 * * [simplify]: Extracting #2: cost 59 inf + 1
447.770 * * [simplify]: Extracting #3: cost 69 inf + 2
447.770 * * [simplify]: Extracting #4: cost 100 inf + 45
447.771 * * [simplify]: Extracting #5: cost 230 inf + 622
447.772 * * [simplify]: Extracting #6: cost 311 inf + 5696
447.782 * * [simplify]: Extracting #7: cost 164 inf + 54168
447.817 * * [simplify]: Extracting #8: cost 74 inf + 91239
447.867 * * [simplify]: Extracting #9: cost 22 inf + 126940
447.933 * * [simplify]: Extracting #10: cost 2 inf + 150807
448.003 * * [simplify]: Extracting #11: cost 0 inf + 153379
448.074 * [simplify]: Simplified to (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (* U U) (* U U)) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (* (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))))))))
448.074 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (* U U) (* U U)) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (* (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
448.075 * * * * [progress]: [ 351 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
448.076 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
448.076 * * [simplify]: iters left: 6 (53 enodes)
448.093 * * [simplify]: iters left: 5 (269 enodes)
448.192 * * [simplify]: Extracting #0: cost 1 inf + 0
448.192 * * [simplify]: Extracting #1: cost 30 inf + 0
448.192 * * [simplify]: Extracting #2: cost 59 inf + 1
448.192 * * [simplify]: Extracting #3: cost 69 inf + 2
448.193 * * [simplify]: Extracting #4: cost 102 inf + 45
448.194 * * [simplify]: Extracting #5: cost 236 inf + 561
448.197 * * [simplify]: Extracting #6: cost 318 inf + 6044
448.215 * * [simplify]: Extracting #7: cost 169 inf + 56190
448.237 * * [simplify]: Extracting #8: cost 78 inf + 92734
448.286 * * [simplify]: Extracting #9: cost 39 inf + 108837
448.349 * * [simplify]: Extracting #10: cost 24 inf + 124893
448.420 * * [simplify]: Extracting #11: cost 4 inf + 151873
448.493 * * [simplify]: Extracting #12: cost 0 inf + 153461
448.570 * * [simplify]: Extracting #13: cost 0 inf + 152541
448.628 * [simplify]: Simplified to (/ (/ (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))))) (+ (* (* U U) (* U U)) (* (* (* U U) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* U U) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))))))
448.629 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))))) (+ (* (* U U) (* U U)) (* (* (* U U) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* U U) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
448.630 * * * * [progress]: [ 352 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
448.630 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
448.631 * * [simplify]: iters left: 6 (51 enodes)
448.658 * * [simplify]: iters left: 5 (259 enodes)
448.756 * * [simplify]: Extracting #0: cost 1 inf + 0
448.756 * * [simplify]: Extracting #1: cost 30 inf + 0
448.756 * * [simplify]: Extracting #2: cost 59 inf + 1
448.756 * * [simplify]: Extracting #3: cost 68 inf + 44
448.757 * * [simplify]: Extracting #4: cost 100 inf + 45
448.757 * * [simplify]: Extracting #5: cost 223 inf + 377
448.759 * * [simplify]: Extracting #6: cost 287 inf + 6100
448.766 * * [simplify]: Extracting #7: cost 161 inf + 49095
448.791 * * [simplify]: Extracting #8: cost 42 inf + 106234
448.837 * * [simplify]: Extracting #9: cost 4 inf + 143759
448.919 * * [simplify]: Extracting #10: cost 0 inf + 144226
448.968 * * [simplify]: Extracting #11: cost 0 inf + 142942
449.022 * [simplify]: Simplified to (* (/ (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (* U U) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))))))))
449.022 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (* U U) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
449.023 * * * * [progress]: [ 353 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
449.024 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
449.024 * * [simplify]: iters left: 6 (53 enodes)
449.041 * * [simplify]: iters left: 5 (269 enodes)
449.125 * * [simplify]: Extracting #0: cost 1 inf + 0
449.126 * * [simplify]: Extracting #1: cost 30 inf + 0
449.126 * * [simplify]: Extracting #2: cost 59 inf + 1
449.126 * * [simplify]: Extracting #3: cost 69 inf + 2
449.126 * * [simplify]: Extracting #4: cost 102 inf + 45
449.127 * * [simplify]: Extracting #5: cost 233 inf + 662
449.128 * * [simplify]: Extracting #6: cost 310 inf + 4538
449.136 * * [simplify]: Extracting #7: cost 172 inf + 52796
449.162 * * [simplify]: Extracting #8: cost 82 inf + 90098
449.212 * * [simplify]: Extracting #9: cost 28 inf + 123183
449.282 * * [simplify]: Extracting #10: cost 3 inf + 152367
449.343 * * [simplify]: Extracting #11: cost 0 inf + 155603
449.414 * [simplify]: Simplified to (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* J (* 2 (cos (/ K 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))))) (* (/ (* (* U U) (* U U)) (* J (* 2 (cos (/ K 2))))) (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))))) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (* (* U U) (/ (/ (/ U 2) (cos (/ K 2))) J)) (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)))))))
449.414 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* J (* 2 (cos (/ K 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))))) (* (/ (* (* U U) (* U U)) (* J (* 2 (cos (/ K 2))))) (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))))) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (* (* U U) (/ (/ (/ U 2) (cos (/ K 2))) J)) (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
449.416 * * * * [progress]: [ 354 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
449.416 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
449.417 * * [simplify]: iters left: 6 (51 enodes)
449.436 * * [simplify]: iters left: 5 (257 enodes)
449.529 * * [simplify]: Extracting #0: cost 1 inf + 0
449.529 * * [simplify]: Extracting #1: cost 30 inf + 0
449.529 * * [simplify]: Extracting #2: cost 59 inf + 1
449.529 * * [simplify]: Extracting #3: cost 69 inf + 2
449.529 * * [simplify]: Extracting #4: cost 100 inf + 45
449.530 * * [simplify]: Extracting #5: cost 228 inf + 377
449.531 * * [simplify]: Extracting #6: cost 290 inf + 6076
449.539 * * [simplify]: Extracting #7: cost 164 inf + 49692
449.581 * * [simplify]: Extracting #8: cost 39 inf + 109871
449.635 * * [simplify]: Extracting #9: cost 6 inf + 140113
449.709 * * [simplify]: Extracting #10: cost 0 inf + 144988
449.807 * * [simplify]: Extracting #11: cost 0 inf + 143322
449.879 * [simplify]: Simplified to (* (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1) (* (* U U) U)) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))))))
449.879 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1) (* (* U U) U)) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
449.881 * * * * [progress]: [ 355 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
449.881 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
449.881 * * [simplify]: iters left: 6 (53 enodes)
449.915 * * [simplify]: iters left: 5 (268 enodes)
450.043 * * [simplify]: Extracting #0: cost 1 inf + 0
450.043 * * [simplify]: Extracting #1: cost 30 inf + 0
450.044 * * [simplify]: Extracting #2: cost 59 inf + 1
450.044 * * [simplify]: Extracting #3: cost 68 inf + 44
450.044 * * [simplify]: Extracting #4: cost 102 inf + 45
450.045 * * [simplify]: Extracting #5: cost 238 inf + 561
450.046 * * [simplify]: Extracting #6: cost 312 inf + 6078
450.059 * * [simplify]: Extracting #7: cost 133 inf + 67228
450.095 * * [simplify]: Extracting #8: cost 43 inf + 106784
450.143 * * [simplify]: Extracting #9: cost 18 inf + 128573
450.229 * * [simplify]: Extracting #10: cost 6 inf + 143321
450.285 * * [simplify]: Extracting #11: cost 0 inf + 151795
450.339 * [simplify]: Simplified to (* (/ (sqrt (+ 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* U U) U)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)))))))
450.339 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* U U) U)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
450.340 * * * * [progress]: [ 356 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
450.340 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
450.341 * * [simplify]: iters left: 6 (51 enodes)
450.366 * * [simplify]: iters left: 5 (259 enodes)
450.449 * * [simplify]: Extracting #0: cost 1 inf + 0
450.449 * * [simplify]: Extracting #1: cost 30 inf + 0
450.449 * * [simplify]: Extracting #2: cost 59 inf + 1
450.449 * * [simplify]: Extracting #3: cost 69 inf + 2
450.450 * * [simplify]: Extracting #4: cost 102 inf + 45
450.450 * * [simplify]: Extracting #5: cost 239 inf + 478
450.452 * * [simplify]: Extracting #6: cost 301 inf + 6266
450.463 * * [simplify]: Extracting #7: cost 167 inf + 54094
450.490 * * [simplify]: Extracting #8: cost 58 inf + 103700
450.532 * * [simplify]: Extracting #9: cost 20 inf + 132930
450.595 * * [simplify]: Extracting #10: cost 0 inf + 156398
450.656 * * [simplify]: Extracting #11: cost 0 inf + 153899
450.721 * [simplify]: Simplified to (/ (/ (* (sqrt (+ 1 (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (* (* (* U U) U) (+ (+ (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) 1))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)))))) (* (* (+ (+ (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) 1) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (* U U) (/ (/ (/ U (cos (/ K 2))) J) 2)))))))
450.721 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ 1 (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (* (* (* U U) U) (+ (+ (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) 1))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)))))) (* (* (+ (+ (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) 1) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (* U U) (/ (/ (/ U (cos (/ K 2))) J) 2))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
450.723 * * * * [progress]: [ 357 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
450.724 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
450.725 * * [simplify]: iters left: 6 (53 enodes)
450.758 * * [simplify]: iters left: 5 (269 enodes)
450.867 * * [simplify]: Extracting #0: cost 1 inf + 0
450.867 * * [simplify]: Extracting #1: cost 30 inf + 0
450.867 * * [simplify]: Extracting #2: cost 59 inf + 1
450.867 * * [simplify]: Extracting #3: cost 68 inf + 44
450.868 * * [simplify]: Extracting #4: cost 101 inf + 45
450.868 * * [simplify]: Extracting #5: cost 239 inf + 907
450.870 * * [simplify]: Extracting #6: cost 301 inf + 9881
450.879 * * [simplify]: Extracting #7: cost 175 inf + 47713
450.910 * * [simplify]: Extracting #8: cost 94 inf + 78696
450.936 * * [simplify]: Extracting #9: cost 43 inf + 103152
450.983 * * [simplify]: Extracting #10: cost 28 inf + 117050
451.048 * * [simplify]: Extracting #11: cost 4 inf + 143303
451.109 * * [simplify]: Extracting #12: cost 0 inf + 148287
451.175 * [simplify]: Simplified to (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (* U U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))
451.175 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (* U U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
451.177 * * * * [progress]: [ 358 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
451.177 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
451.178 * * [simplify]: iters left: 6 (48 enodes)
451.208 * * [simplify]: iters left: 5 (236 enodes)
451.291 * * [simplify]: Extracting #0: cost 1 inf + 0
451.291 * * [simplify]: Extracting #1: cost 24 inf + 0
451.291 * * [simplify]: Extracting #2: cost 51 inf + 1
451.291 * * [simplify]: Extracting #3: cost 59 inf + 44
451.292 * * [simplify]: Extracting #4: cost 130 inf + 45
451.292 * * [simplify]: Extracting #5: cost 286 inf + 336
451.295 * * [simplify]: Extracting #6: cost 258 inf + 8696
451.306 * * [simplify]: Extracting #7: cost 93 inf + 66186
451.340 * * [simplify]: Extracting #8: cost 40 inf + 92166
451.384 * * [simplify]: Extracting #9: cost 13 inf + 111002
451.422 * * [simplify]: Extracting #10: cost 0 inf + 123776
451.473 * * [simplify]: Extracting #11: cost 0 inf + 122216
451.527 * [simplify]: Simplified to (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* U (+ (* (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))))))
451.527 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* U (+ (* (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
451.528 * * * * [progress]: [ 359 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
451.528 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
451.529 * * [simplify]: iters left: 6 (51 enodes)
451.547 * * [simplify]: iters left: 5 (260 enodes)
451.643 * * [simplify]: Extracting #0: cost 1 inf + 0
451.643 * * [simplify]: Extracting #1: cost 30 inf + 0
451.644 * * [simplify]: Extracting #2: cost 59 inf + 1
451.644 * * [simplify]: Extracting #3: cost 68 inf + 44
451.644 * * [simplify]: Extracting #4: cost 107 inf + 45
451.645 * * [simplify]: Extracting #5: cost 268 inf + 377
451.646 * * [simplify]: Extracting #6: cost 328 inf + 5367
451.656 * * [simplify]: Extracting #7: cost 177 inf + 55463
451.686 * * [simplify]: Extracting #8: cost 40 inf + 113580
451.746 * * [simplify]: Extracting #9: cost 5 inf + 146314
451.822 * * [simplify]: Extracting #10: cost 0 inf + 152641
451.894 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* U U) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))))))) (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))
451.895 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* U U) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))))))) (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
451.896 * * * * [progress]: [ 360 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
451.896 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
451.896 * * [simplify]: iters left: 6 (43 enodes)
451.910 * * [simplify]: iters left: 5 (214 enodes)
451.992 * * [simplify]: Extracting #0: cost 1 inf + 0
451.993 * * [simplify]: Extracting #1: cost 24 inf + 0
451.993 * * [simplify]: Extracting #2: cost 51 inf + 1
451.993 * * [simplify]: Extracting #3: cost 60 inf + 2
451.993 * * [simplify]: Extracting #4: cost 125 inf + 45
451.994 * * [simplify]: Extracting #5: cost 259 inf + 336
451.996 * * [simplify]: Extracting #6: cost 236 inf + 8333
452.006 * * [simplify]: Extracting #7: cost 79 inf + 58696
452.038 * * [simplify]: Extracting #8: cost 33 inf + 80024
452.082 * * [simplify]: Extracting #9: cost 29 inf + 83084
452.114 * * [simplify]: Extracting #10: cost 8 inf + 103662
452.178 * * [simplify]: Extracting #11: cost 0 inf + 111786
452.214 * [simplify]: Simplified to (/ -2 (/ (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))) (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (cos (/ K 2)) J))))
452.214 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ -2 (/ (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))) (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (cos (/ K 2)) J)))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
452.216 * * * * [progress]: [ 361 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
452.216 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
452.216 * * [simplify]: iters left: 6 (50 enodes)
452.232 * * [simplify]: iters left: 5 (253 enodes)
452.325 * * [simplify]: Extracting #0: cost 1 inf + 0
452.325 * * [simplify]: Extracting #1: cost 30 inf + 0
452.326 * * [simplify]: Extracting #2: cost 59 inf + 1
452.326 * * [simplify]: Extracting #3: cost 68 inf + 44
452.326 * * [simplify]: Extracting #4: cost 99 inf + 45
452.327 * * [simplify]: Extracting #5: cost 221 inf + 335
452.329 * * [simplify]: Extracting #6: cost 287 inf + 6553
452.339 * * [simplify]: Extracting #7: cost 164 inf + 47744
452.355 * * [simplify]: Extracting #8: cost 81 inf + 81906
452.392 * * [simplify]: Extracting #9: cost 42 inf + 102763
452.441 * * [simplify]: Extracting #10: cost 14 inf + 125869
452.498 * * [simplify]: Extracting #11: cost 1 inf + 139014
452.575 * * [simplify]: Extracting #12: cost 0 inf + 139800
452.655 * [simplify]: Simplified to (/ (/ (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))))) (sqrt (sqrt (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))
452.655 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))))) (sqrt (sqrt (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
452.656 * * * * [progress]: [ 362 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
452.657 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
452.657 * * [simplify]: iters left: 6 (51 enodes)
452.674 * * [simplify]: iters left: 5 (260 enodes)
452.754 * * [simplify]: Extracting #0: cost 1 inf + 0
452.754 * * [simplify]: Extracting #1: cost 30 inf + 0
452.755 * * [simplify]: Extracting #2: cost 59 inf + 1
452.755 * * [simplify]: Extracting #3: cost 68 inf + 44
452.755 * * [simplify]: Extracting #4: cost 102 inf + 45
452.756 * * [simplify]: Extracting #5: cost 235 inf + 723
452.757 * * [simplify]: Extracting #6: cost 294 inf + 7785
452.773 * * [simplify]: Extracting #7: cost 152 inf + 58414
452.825 * * [simplify]: Extracting #8: cost 49 inf + 110050
452.905 * * [simplify]: Extracting #9: cost 10 inf + 138072
452.978 * * [simplify]: Extracting #10: cost 0 inf + 150717
453.078 * * [simplify]: Extracting #11: cost 0 inf + 147847
453.177 * [simplify]: Simplified to (/ (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (+ (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (* U U) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))
453.178 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (+ (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (* U U) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
453.180 * * * * [progress]: [ 363 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
453.180 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
453.181 * * [simplify]: iters left: 6 (53 enodes)
453.216 * * [simplify]: iters left: 5 (270 enodes)
453.329 * * [simplify]: Extracting #0: cost 1 inf + 0
453.329 * * [simplify]: Extracting #1: cost 30 inf + 0
453.329 * * [simplify]: Extracting #2: cost 59 inf + 1
453.329 * * [simplify]: Extracting #3: cost 69 inf + 2
453.329 * * [simplify]: Extracting #4: cost 100 inf + 45
453.330 * * [simplify]: Extracting #5: cost 239 inf + 519
453.332 * * [simplify]: Extracting #6: cost 308 inf + 6561
453.350 * * [simplify]: Extracting #7: cost 159 inf + 53163
453.389 * * [simplify]: Extracting #8: cost 75 inf + 86124
453.434 * * [simplify]: Extracting #9: cost 44 inf + 101817
453.477 * * [simplify]: Extracting #10: cost 31 inf + 111795
453.539 * * [simplify]: Extracting #11: cost 18 inf + 125579
453.613 * * [simplify]: Extracting #12: cost 4 inf + 143787
453.714 * * [simplify]: Extracting #13: cost 0 inf + 149291
453.778 * [simplify]: Simplified to (/ (/ (* (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* J (* 2 (cos (/ K 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))))) (* (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* U U))))))
453.778 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* J (* 2 (cos (/ K 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))))) (* (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* U U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
453.780 * * * * [progress]: [ 364 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
453.780 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
453.780 * * [simplify]: iters left: 6 (48 enodes)
453.796 * * [simplify]: iters left: 5 (238 enodes)
453.885 * * [simplify]: Extracting #0: cost 1 inf + 0
453.886 * * [simplify]: Extracting #1: cost 24 inf + 0
453.886 * * [simplify]: Extracting #2: cost 51 inf + 1
453.886 * * [simplify]: Extracting #3: cost 59 inf + 44
453.887 * * [simplify]: Extracting #4: cost 126 inf + 45
453.888 * * [simplify]: Extracting #5: cost 277 inf + 336
453.893 * * [simplify]: Extracting #6: cost 242 inf + 11352
453.918 * * [simplify]: Extracting #7: cost 91 inf + 63409
453.960 * * [simplify]: Extracting #8: cost 33 inf + 89685
453.992 * * [simplify]: Extracting #9: cost 10 inf + 109675
454.064 * * [simplify]: Extracting #10: cost 0 inf + 118590
454.107 * * [simplify]: Extracting #11: cost 0 inf + 118200
454.184 * [simplify]: Simplified to (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* U (* (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))))))
454.184 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* U (* (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
454.185 * * * * [progress]: [ 365 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
454.186 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
454.187 * * [simplify]: iters left: 6 (51 enodes)
454.219 * * [simplify]: iters left: 5 (261 enodes)
454.329 * * [simplify]: Extracting #0: cost 1 inf + 0
454.329 * * [simplify]: Extracting #1: cost 30 inf + 0
454.329 * * [simplify]: Extracting #2: cost 59 inf + 1
454.330 * * [simplify]: Extracting #3: cost 69 inf + 2
454.330 * * [simplify]: Extracting #4: cost 107 inf + 45
454.332 * * [simplify]: Extracting #5: cost 253 inf + 622
454.336 * * [simplify]: Extracting #6: cost 309 inf + 7050
454.358 * * [simplify]: Extracting #7: cost 157 inf + 59210
454.392 * * [simplify]: Extracting #8: cost 84 inf + 91922
454.449 * * [simplify]: Extracting #9: cost 21 inf + 130209
454.510 * * [simplify]: Extracting #10: cost 8 inf + 144582
454.608 * * [simplify]: Extracting #11: cost 0 inf + 155547
454.681 * [simplify]: Simplified to (* (/ (sqrt (+ 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) U)) U))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (+ (* (* (/ U (* 2 (cos (/ K 2)))) (/ U J)) (* (/ U (* 2 (cos (/ K 2)))) (/ U J))) (* (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* (/ U (* 2 (cos (/ K 2)))) (/ U J)) (* (/ U (* 2 (cos (/ K 2)))) (/ U J))))))))))
454.681 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) U)) U))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (+ (* (* (/ U (* 2 (cos (/ K 2)))) (/ U J)) (* (/ U (* 2 (cos (/ K 2)))) (/ U J))) (* (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* (/ U (* 2 (cos (/ K 2)))) (/ U J)) (* (/ U (* 2 (cos (/ K 2)))) (/ U J)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
454.683 * * * * [progress]: [ 366 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
454.683 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
454.684 * * [simplify]: iters left: 6 (48 enodes)
454.704 * * [simplify]: iters left: 5 (232 enodes)
454.796 * * [simplify]: Extracting #0: cost 1 inf + 0
454.796 * * [simplify]: Extracting #1: cost 24 inf + 0
454.796 * * [simplify]: Extracting #2: cost 51 inf + 1
454.796 * * [simplify]: Extracting #3: cost 60 inf + 2
454.797 * * [simplify]: Extracting #4: cost 130 inf + 45
454.798 * * [simplify]: Extracting #5: cost 271 inf + 480
454.802 * * [simplify]: Extracting #6: cost 242 inf + 8847
454.820 * * [simplify]: Extracting #7: cost 107 inf + 52195
454.867 * * [simplify]: Extracting #8: cost 22 inf + 96460
454.938 * * [simplify]: Extracting #9: cost 1 inf + 114072
455.011 * * [simplify]: Extracting #10: cost 0 inf + 115138
455.088 * [simplify]: Simplified to (/ (* (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* U U) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))
455.088 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* U U) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
455.090 * * * * [progress]: [ 367 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
455.090 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
455.091 * * [simplify]: iters left: 6 (51 enodes)
455.114 * * [simplify]: iters left: 5 (258 enodes)
455.200 * * [simplify]: Extracting #0: cost 1 inf + 0
455.200 * * [simplify]: Extracting #1: cost 30 inf + 0
455.200 * * [simplify]: Extracting #2: cost 59 inf + 1
455.200 * * [simplify]: Extracting #3: cost 69 inf + 2
455.201 * * [simplify]: Extracting #4: cost 109 inf + 45
455.202 * * [simplify]: Extracting #5: cost 268 inf + 437
455.206 * * [simplify]: Extracting #6: cost 319 inf + 7030
455.221 * * [simplify]: Extracting #7: cost 159 inf + 62396
455.263 * * [simplify]: Extracting #8: cost 47 inf + 112444
455.318 * * [simplify]: Extracting #9: cost 22 inf + 130234
455.392 * * [simplify]: Extracting #10: cost 6 inf + 146725
455.489 * * [simplify]: Extracting #11: cost 0 inf + 154398
455.586 * [simplify]: Simplified to (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (* (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))))))))
455.587 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (* (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
455.588 * * * * [progress]: [ 368 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
455.588 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
455.588 * * [simplify]: iters left: 6 (49 enodes)
455.607 * * [simplify]: iters left: 5 (249 enodes)
455.712 * * [simplify]: Extracting #0: cost 1 inf + 0
455.712 * * [simplify]: Extracting #1: cost 24 inf + 0
455.712 * * [simplify]: Extracting #2: cost 51 inf + 1
455.712 * * [simplify]: Extracting #3: cost 59 inf + 2
455.713 * * [simplify]: Extracting #4: cost 86 inf + 45
455.714 * * [simplify]: Extracting #5: cost 185 inf + 907
455.717 * * [simplify]: Extracting #6: cost 252 inf + 5579
455.730 * * [simplify]: Extracting #7: cost 136 inf + 46908
455.753 * * [simplify]: Extracting #8: cost 70 inf + 71277
455.780 * * [simplify]: Extracting #9: cost 24 inf + 98260
455.846 * * [simplify]: Extracting #10: cost 5 inf + 113851
455.903 * * [simplify]: Extracting #11: cost 0 inf + 118541
455.957 * * [simplify]: Extracting #12: cost 0 inf + 118341
456.011 * [simplify]: Simplified to (/ (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (* U U) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (* U U) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))
456.011 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (* U U) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (* U U) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
456.013 * * * * [progress]: [ 369 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
456.013 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
456.014 * * [simplify]: iters left: 6 (52 enodes)
456.046 * * [simplify]: iters left: 5 (264 enodes)
456.157 * * [simplify]: Extracting #0: cost 1 inf + 0
456.157 * * [simplify]: Extracting #1: cost 30 inf + 0
456.157 * * [simplify]: Extracting #2: cost 59 inf + 1
456.157 * * [simplify]: Extracting #3: cost 68 inf + 44
456.157 * * [simplify]: Extracting #4: cost 107 inf + 45
456.162 * * [simplify]: Extracting #5: cost 252 inf + 437
456.166 * * [simplify]: Extracting #6: cost 305 inf + 4846
456.181 * * [simplify]: Extracting #7: cost 169 inf + 49362
456.208 * * [simplify]: Extracting #8: cost 64 inf + 95408
456.249 * * [simplify]: Extracting #9: cost 32 inf + 110131
456.294 * * [simplify]: Extracting #10: cost 19 inf + 122009
456.366 * * [simplify]: Extracting #11: cost 0 inf + 143615
456.449 * [simplify]: Simplified to (/ (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))))))
456.449 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
456.451 * * * * [progress]: [ 370 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
456.451 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
456.452 * * [simplify]: iters left: 6 (49 enodes)
456.471 * * [simplify]: iters left: 5 (251 enodes)
456.568 * * [simplify]: Extracting #0: cost 1 inf + 0
456.569 * * [simplify]: Extracting #1: cost 30 inf + 0
456.569 * * [simplify]: Extracting #2: cost 59 inf + 1
456.569 * * [simplify]: Extracting #3: cost 68 inf + 44
456.569 * * [simplify]: Extracting #4: cost 98 inf + 45
456.570 * * [simplify]: Extracting #5: cost 219 inf + 437
456.572 * * [simplify]: Extracting #6: cost 296 inf + 6262
456.602 * * [simplify]: Extracting #7: cost 114 inf + 72045
456.665 * * [simplify]: Extracting #8: cost 37 inf + 105845
456.745 * * [simplify]: Extracting #9: cost 14 inf + 128190
456.802 * * [simplify]: Extracting #10: cost 0 inf + 143310
456.887 * [simplify]: Simplified to (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (cos (/ K 2))) (* J (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))))) (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))
456.887 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (cos (/ K 2))) (* J (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))))) (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
456.890 * * * * [progress]: [ 371 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
456.890 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
456.891 * * [simplify]: iters left: 6 (51 enodes)
456.925 * * [simplify]: iters left: 5 (261 enodes)
457.018 * * [simplify]: Extracting #0: cost 1 inf + 0
457.018 * * [simplify]: Extracting #1: cost 30 inf + 0
457.018 * * [simplify]: Extracting #2: cost 59 inf + 1
457.019 * * [simplify]: Extracting #3: cost 68 inf + 44
457.019 * * [simplify]: Extracting #4: cost 100 inf + 45
457.019 * * [simplify]: Extracting #5: cost 230 inf + 622
457.021 * * [simplify]: Extracting #6: cost 312 inf + 4972
457.030 * * [simplify]: Extracting #7: cost 170 inf + 51039
457.056 * * [simplify]: Extracting #8: cost 63 inf + 93545
457.106 * * [simplify]: Extracting #9: cost 27 inf + 117889
457.165 * * [simplify]: Extracting #10: cost 7 inf + 137478
457.221 * * [simplify]: Extracting #11: cost 0 inf + 146378
457.300 * [simplify]: Simplified to (/ (/ (sqrt (+ 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U))))) (* (* (cos (/ K 2)) J) -2))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* 2 (* (cos (/ K 2)) J))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))))
457.300 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (sqrt (+ 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U))))) (* (* (cos (/ K 2)) J) -2))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* 2 (* (cos (/ K 2)) J))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
457.301 * * * * [progress]: [ 372 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
457.301 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
457.301 * * [simplify]: iters left: 6 (49 enodes)
457.317 * * [simplify]: iters left: 5 (250 enodes)
457.414 * * [simplify]: Extracting #0: cost 1 inf + 0
457.415 * * [simplify]: Extracting #1: cost 30 inf + 0
457.415 * * [simplify]: Extracting #2: cost 59 inf + 1
457.415 * * [simplify]: Extracting #3: cost 69 inf + 2
457.416 * * [simplify]: Extracting #4: cost 99 inf + 45
457.421 * * [simplify]: Extracting #5: cost 215 inf + 519
457.425 * * [simplify]: Extracting #6: cost 280 inf + 5644
457.441 * * [simplify]: Extracting #7: cost 142 inf + 59035
457.468 * * [simplify]: Extracting #8: cost 58 inf + 91252
457.514 * * [simplify]: Extracting #9: cost 26 inf + 114376
457.603 * * [simplify]: Extracting #10: cost 1 inf + 142377
457.691 * * [simplify]: Extracting #11: cost 0 inf + 143563
457.762 * [simplify]: Simplified to (/ (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (sqrt (sqrt (+ (* (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) U) (/ (/ U (cos (/ K 2))) (* 2 J))) (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (* (* 2 (cos (/ K 2))) J) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))))
457.763 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (sqrt (sqrt (+ (* (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) U) (/ (/ U (cos (/ K 2))) (* 2 J))) (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (* (* 2 (cos (/ K 2))) J) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
457.764 * * * * [progress]: [ 373 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
457.764 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
457.764 * * [simplify]: iters left: 6 (51 enodes)
457.781 * * [simplify]: iters left: 5 (261 enodes)
457.874 * * [simplify]: Extracting #0: cost 1 inf + 0
457.874 * * [simplify]: Extracting #1: cost 30 inf + 0
457.874 * * [simplify]: Extracting #2: cost 59 inf + 1
457.874 * * [simplify]: Extracting #3: cost 69 inf + 2
457.874 * * [simplify]: Extracting #4: cost 99 inf + 45
457.875 * * [simplify]: Extracting #5: cost 225 inf + 437
457.877 * * [simplify]: Extracting #6: cost 291 inf + 6148
457.884 * * [simplify]: Extracting #7: cost 172 inf + 46207
457.909 * * [simplify]: Extracting #8: cost 66 inf + 88899
457.949 * * [simplify]: Extracting #9: cost 27 inf + 114913
458.008 * * [simplify]: Extracting #10: cost 0 inf + 142674
458.070 * * [simplify]: Extracting #11: cost 0 inf + 138516
458.119 * [simplify]: Simplified to (/ (/ (* (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* 2 (* (cos (/ K 2)) J))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* 2 (* (cos (/ K 2)) J))) (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U))))))
458.120 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* 2 (* (cos (/ K 2)) J))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* 2 (* (cos (/ K 2)) J))) (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
458.121 * * * * [progress]: [ 374 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
458.121 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
458.121 * * [simplify]: iters left: 6 (49 enodes)
458.141 * * [simplify]: iters left: 5 (237 enodes)
458.233 * * [simplify]: Extracting #0: cost 1 inf + 0
458.234 * * [simplify]: Extracting #1: cost 24 inf + 0
458.234 * * [simplify]: Extracting #2: cost 51 inf + 1
458.234 * * [simplify]: Extracting #3: cost 59 inf + 44
458.235 * * [simplify]: Extracting #4: cost 129 inf + 45
458.236 * * [simplify]: Extracting #5: cost 283 inf + 336
458.240 * * [simplify]: Extracting #6: cost 258 inf + 8074
458.254 * * [simplify]: Extracting #7: cost 134 inf + 48370
458.273 * * [simplify]: Extracting #8: cost 56 inf + 79741
458.296 * * [simplify]: Extracting #9: cost 30 inf + 89128
458.324 * * [simplify]: Extracting #10: cost 28 inf + 90821
458.371 * * [simplify]: Extracting #11: cost 12 inf + 105807
458.427 * * [simplify]: Extracting #12: cost 0 inf + 116965
458.470 * * [simplify]: Extracting #13: cost 0 inf + 116485
458.522 * [simplify]: Simplified to (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* U U)) (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))
458.522 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* U U)) (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
458.523 * * * * [progress]: [ 375 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
458.524 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
458.524 * * [simplify]: iters left: 6 (52 enodes)
458.541 * * [simplify]: iters left: 5 (262 enodes)
458.671 * * [simplify]: Extracting #0: cost 1 inf + 0
458.671 * * [simplify]: Extracting #1: cost 30 inf + 0
458.672 * * [simplify]: Extracting #2: cost 59 inf + 1
458.672 * * [simplify]: Extracting #3: cost 68 inf + 44
458.672 * * [simplify]: Extracting #4: cost 109 inf + 45
458.674 * * [simplify]: Extracting #5: cost 263 inf + 437
458.677 * * [simplify]: Extracting #6: cost 309 inf + 5682
458.703 * * [simplify]: Extracting #7: cost 137 inf + 68678
458.762 * * [simplify]: Extracting #8: cost 31 inf + 119017
458.851 * * [simplify]: Extracting #9: cost 7 inf + 141310
458.940 * * [simplify]: Extracting #10: cost 0 inf + 149770
458.997 * * [simplify]: Extracting #11: cost 0 inf + 149650
459.062 * [simplify]: Simplified to (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* U U)))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* U U) (+ (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)))))))
459.062 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* U U)))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* U U) (+ (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
459.063 * * * * [progress]: [ 376 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
459.064 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
459.064 * * [simplify]: iters left: 6 (49 enodes)
459.082 * * [simplify]: iters left: 5 (251 enodes)
459.203 * * [simplify]: Extracting #0: cost 1 inf + 0
459.203 * * [simplify]: Extracting #1: cost 30 inf + 0
459.204 * * [simplify]: Extracting #2: cost 59 inf + 1
459.204 * * [simplify]: Extracting #3: cost 68 inf + 44
459.204 * * [simplify]: Extracting #4: cost 100 inf + 45
459.205 * * [simplify]: Extracting #5: cost 220 inf + 335
459.207 * * [simplify]: Extracting #6: cost 292 inf + 8234
459.215 * * [simplify]: Extracting #7: cost 163 inf + 55800
459.249 * * [simplify]: Extracting #8: cost 70 inf + 93087
459.294 * * [simplify]: Extracting #9: cost 21 inf + 123978
459.369 * * [simplify]: Extracting #10: cost 4 inf + 140860
459.438 * * [simplify]: Extracting #11: cost 0 inf + 144856
459.500 * * [simplify]: Extracting #12: cost 0 inf + 144699
459.600 * [simplify]: Simplified to (/ (* (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J))) (+ (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))) (sqrt (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))))
459.600 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J))) (+ (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))) (sqrt (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
459.603 * * * * [progress]: [ 377 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
459.603 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
459.604 * * [simplify]: iters left: 6 (51 enodes)
459.636 * * [simplify]: iters left: 5 (261 enodes)
459.772 * * [simplify]: Extracting #0: cost 1 inf + 0
459.772 * * [simplify]: Extracting #1: cost 30 inf + 0
459.772 * * [simplify]: Extracting #2: cost 59 inf + 1
459.773 * * [simplify]: Extracting #3: cost 69 inf + 2
459.773 * * [simplify]: Extracting #4: cost 102 inf + 45
459.774 * * [simplify]: Extracting #5: cost 228 inf + 580
459.778 * * [simplify]: Extracting #6: cost 285 inf + 7779
459.805 * * [simplify]: Extracting #7: cost 122 inf + 66747
459.856 * * [simplify]: Extracting #8: cost 35 inf + 106321
459.904 * * [simplify]: Extracting #9: cost 8 inf + 132689
459.966 * * [simplify]: Extracting #10: cost 0 inf + 143414
460.034 * * [simplify]: Extracting #11: cost 0 inf + 142894
460.131 * [simplify]: Simplified to (/ (* (/ (sqrt (+ 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (/ (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (+ (* (* (/ U (* 2 (cos (/ K 2)))) (/ U J)) (* (/ U (* 2 (cos (/ K 2)))) (/ U J))) (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* (/ U (* 2 (cos (/ K 2)))) (/ U J)) (* (/ U (* 2 (cos (/ K 2)))) (/ U J)))))))) (* (cos (/ K 2)) J))) -2) (sqrt (sqrt (+ (* (- 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* J (* 2 (cos (/ K 2))))) (* (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) U)))))))
460.132 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (sqrt (+ 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (/ (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (+ (* (* (/ U (* 2 (cos (/ K 2)))) (/ U J)) (* (/ U (* 2 (cos (/ K 2)))) (/ U J))) (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* (/ U (* 2 (cos (/ K 2)))) (/ U J)) (* (/ U (* 2 (cos (/ K 2)))) (/ U J)))))))) (* (cos (/ K 2)) J))) -2) (sqrt (sqrt (+ (* (- 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* J (* 2 (cos (/ K 2))))) (* (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
460.133 * * * * [progress]: [ 378 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
460.134 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
460.135 * * [simplify]: iters left: 6 (49 enodes)
460.162 * * [simplify]: iters left: 5 (251 enodes)
460.265 * * [simplify]: Extracting #0: cost 1 inf + 0
460.265 * * [simplify]: Extracting #1: cost 30 inf + 0
460.265 * * [simplify]: Extracting #2: cost 59 inf + 1
460.266 * * [simplify]: Extracting #3: cost 68 inf + 44
460.266 * * [simplify]: Extracting #4: cost 97 inf + 45
460.267 * * [simplify]: Extracting #5: cost 213 inf + 662
460.270 * * [simplify]: Extracting #6: cost 292 inf + 5261
460.295 * * [simplify]: Extracting #7: cost 126 inf + 63268
460.346 * * [simplify]: Extracting #8: cost 46 inf + 96494
460.405 * * [simplify]: Extracting #9: cost 37 inf + 102120
460.481 * * [simplify]: Extracting #10: cost 18 inf + 120738
460.550 * * [simplify]: Extracting #11: cost 3 inf + 136814
460.633 * * [simplify]: Extracting #12: cost 0 inf + 140335
460.728 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J))) (+ (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))) (/ (* (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))))
460.728 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J))) (+ (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))) (/ (* (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
460.730 * * * * [progress]: [ 379 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
460.731 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
460.732 * * [simplify]: iters left: 6 (51 enodes)
460.765 * * [simplify]: iters left: 5 (261 enodes)
460.863 * * [simplify]: Extracting #0: cost 1 inf + 0
460.863 * * [simplify]: Extracting #1: cost 30 inf + 0
460.863 * * [simplify]: Extracting #2: cost 59 inf + 1
460.864 * * [simplify]: Extracting #3: cost 69 inf + 2
460.864 * * [simplify]: Extracting #4: cost 101 inf + 45
460.864 * * [simplify]: Extracting #5: cost 221 inf + 622
460.866 * * [simplify]: Extracting #6: cost 281 inf + 5679
460.873 * * [simplify]: Extracting #7: cost 157 inf + 49635
460.908 * * [simplify]: Extracting #8: cost 63 inf + 84781
460.960 * * [simplify]: Extracting #9: cost 32 inf + 101369
461.045 * * [simplify]: Extracting #10: cost 6 inf + 127834
461.136 * * [simplify]: Extracting #11: cost 0 inf + 134547
461.225 * * [simplify]: Extracting #12: cost 0 inf + 134147
461.273 * [simplify]: Simplified to (/ (* (/ (* (cos (/ K 2)) J) (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))) (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) -2) (sqrt (sqrt (+ (* 2 (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (cos (/ K 2)) J))) (* (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))))
461.273 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (cos (/ K 2)) J) (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))) (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) -2) (sqrt (sqrt (+ (* 2 (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (cos (/ K 2)) J))) (* (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
461.274 * * * * [progress]: [ 380 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
461.274 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3))))))
461.275 * * [simplify]: iters left: 6 (50 enodes)
461.308 * * [simplify]: iters left: 5 (250 enodes)
461.403 * * [simplify]: Extracting #0: cost 1 inf + 0
461.403 * * [simplify]: Extracting #1: cost 30 inf + 0
461.404 * * [simplify]: Extracting #2: cost 59 inf + 1
461.404 * * [simplify]: Extracting #3: cost 69 inf + 2
461.405 * * [simplify]: Extracting #4: cost 101 inf + 45
461.406 * * [simplify]: Extracting #5: cost 225 inf + 335
461.408 * * [simplify]: Extracting #6: cost 284 inf + 5471
461.415 * * [simplify]: Extracting #7: cost 161 inf + 52498
461.434 * * [simplify]: Extracting #8: cost 55 inf + 95138
461.500 * * [simplify]: Extracting #9: cost 15 inf + 121822
461.578 * * [simplify]: Extracting #10: cost 0 inf + 137496
461.658 * * [simplify]: Extracting #11: cost 0 inf + 137274
461.730 * [simplify]: Simplified to (/ (/ (* (* (cos (/ K 2)) J) (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) -2)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (+ (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))) (sqrt (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))
461.730 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (cos (/ K 2)) J) (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) -2)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (+ (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))) (sqrt (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
461.732 * * * * [progress]: [ 381 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
461.733 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
461.734 * * [simplify]: iters left: 6 (50 enodes)
461.767 * * [simplify]: iters left: 5 (258 enodes)
461.841 * * [simplify]: Extracting #0: cost 1 inf + 0
461.841 * * [simplify]: Extracting #1: cost 30 inf + 0
461.842 * * [simplify]: Extracting #2: cost 59 inf + 1
461.842 * * [simplify]: Extracting #3: cost 68 inf + 44
461.842 * * [simplify]: Extracting #4: cost 99 inf + 45
461.843 * * [simplify]: Extracting #5: cost 216 inf + 479
461.846 * * [simplify]: Extracting #6: cost 267 inf + 5928
461.866 * * [simplify]: Extracting #7: cost 113 inf + 68218
461.898 * * [simplify]: Extracting #8: cost 45 inf + 93196
461.939 * * [simplify]: Extracting #9: cost 23 inf + 107571
462.006 * * [simplify]: Extracting #10: cost 0 inf + 133114
462.066 * * [simplify]: Extracting #11: cost 0 inf + 128301
462.138 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* U U) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (- (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))
462.138 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* U U) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (- (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
462.139 * * * * [progress]: [ 382 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
462.139 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
462.140 * * [simplify]: iters left: 6 (53 enodes)
462.157 * * [simplify]: iters left: 5 (271 enodes)
462.254 * * [simplify]: Extracting #0: cost 1 inf + 0
462.254 * * [simplify]: Extracting #1: cost 30 inf + 0
462.254 * * [simplify]: Extracting #2: cost 59 inf + 1
462.254 * * [simplify]: Extracting #3: cost 69 inf + 2
462.255 * * [simplify]: Extracting #4: cost 102 inf + 45
462.256 * * [simplify]: Extracting #5: cost 235 inf + 662
462.259 * * [simplify]: Extracting #6: cost 323 inf + 4746
462.273 * * [simplify]: Extracting #7: cost 151 inf + 58687
462.296 * * [simplify]: Extracting #8: cost 67 inf + 94044
462.330 * * [simplify]: Extracting #9: cost 37 inf + 109235
462.394 * * [simplify]: Extracting #10: cost 20 inf + 126547
462.466 * * [simplify]: Extracting #11: cost 2 inf + 147128
462.535 * * [simplify]: Extracting #12: cost 0 inf + 149580
463.072 * [simplify]: Simplified to (/ (* (* J (* (cos (/ K 2)) -2)) (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))))) (+ (* (* U U) (* U U)) (* (* (* U U) (* U U)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))))
463.072 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* J (* (cos (/ K 2)) -2)) (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))))) (+ (* (* U U) (* U U)) (* (* (* U U) (* U U)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
463.074 * * * * [progress]: [ 383 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
463.075 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
463.075 * * [simplify]: iters left: 6 (46 enodes)
463.100 * * [simplify]: iters left: 5 (229 enodes)
463.181 * * [simplify]: Extracting #0: cost 1 inf + 0
463.181 * * [simplify]: Extracting #1: cost 30 inf + 0
463.182 * * [simplify]: Extracting #2: cost 59 inf + 1
463.182 * * [simplify]: Extracting #3: cost 68 inf + 44
463.182 * * [simplify]: Extracting #4: cost 94 inf + 45
463.183 * * [simplify]: Extracting #5: cost 210 inf + 377
463.184 * * [simplify]: Extracting #6: cost 292 inf + 5141
463.195 * * [simplify]: Extracting #7: cost 113 inf + 59826
463.226 * * [simplify]: Extracting #8: cost 49 inf + 84976
463.275 * * [simplify]: Extracting #9: cost 19 inf + 109383
463.340 * * [simplify]: Extracting #10: cost 0 inf + 132161
463.393 * * [simplify]: Extracting #11: cost 0 inf + 131966
463.456 * [simplify]: Simplified to (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))) (sqrt (sqrt (+ (* (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (+ (* (* (* U U) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* U U) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* U U) (* U U)))))))
463.456 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))) (sqrt (sqrt (+ (* (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (+ (* (* (* U U) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* U U) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* U U) (* U U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
463.457 * * * * [progress]: [ 384 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
463.458 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
463.458 * * [simplify]: iters left: 6 (53 enodes)
463.485 * * [simplify]: iters left: 5 (271 enodes)
463.566 * * [simplify]: Extracting #0: cost 1 inf + 0
463.566 * * [simplify]: Extracting #1: cost 30 inf + 0
463.566 * * [simplify]: Extracting #2: cost 59 inf + 1
463.567 * * [simplify]: Extracting #3: cost 68 inf + 44
463.567 * * [simplify]: Extracting #4: cost 102 inf + 45
463.568 * * [simplify]: Extracting #5: cost 233 inf + 764
463.569 * * [simplify]: Extracting #6: cost 308 inf + 6070
463.589 * * [simplify]: Extracting #7: cost 149 inf + 58913
463.630 * * [simplify]: Extracting #8: cost 66 inf + 91976
463.677 * * [simplify]: Extracting #9: cost 41 inf + 105803
463.713 * * [simplify]: Extracting #10: cost 28 inf + 116973
463.781 * * [simplify]: Extracting #11: cost 11 inf + 135886
463.844 * * [simplify]: Extracting #12: cost 1 inf + 149863
463.931 * * [simplify]: Extracting #13: cost 0 inf + 151289
464.028 * [simplify]: Simplified to (/ (* (/ (* (cos (/ K 2)) J) (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))) (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)))) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* U U))))))
464.028 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (cos (/ K 2)) J) (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))) (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)))) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* U U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
464.030 * * * * [progress]: [ 385 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
464.030 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
464.031 * * [simplify]: iters left: 6 (46 enodes)
464.062 * * [simplify]: iters left: 5 (229 enodes)
464.141 * * [simplify]: Extracting #0: cost 1 inf + 0
464.141 * * [simplify]: Extracting #1: cost 30 inf + 0
464.142 * * [simplify]: Extracting #2: cost 59 inf + 1
464.142 * * [simplify]: Extracting #3: cost 69 inf + 2
464.143 * * [simplify]: Extracting #4: cost 94 inf + 45
464.147 * * [simplify]: Extracting #5: cost 203 inf + 520
464.151 * * [simplify]: Extracting #6: cost 270 inf + 6134
464.168 * * [simplify]: Extracting #7: cost 109 inf + 53778
464.204 * * [simplify]: Extracting #8: cost 49 inf + 78502
464.248 * * [simplify]: Extracting #9: cost 21 inf + 100571
464.298 * * [simplify]: Extracting #10: cost 1 inf + 121802
464.372 * * [simplify]: Extracting #11: cost 0 inf + 122828
464.428 * [simplify]: Simplified to (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1))) (* (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* U U) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))))
464.428 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1))) (* (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* U U) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
464.429 * * * * [progress]: [ 386 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
464.429 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
464.430 * * [simplify]: iters left: 6 (53 enodes)
464.454 * * [simplify]: iters left: 5 (270 enodes)
464.588 * * [simplify]: Extracting #0: cost 1 inf + 0
464.588 * * [simplify]: Extracting #1: cost 30 inf + 0
464.588 * * [simplify]: Extracting #2: cost 59 inf + 1
464.588 * * [simplify]: Extracting #3: cost 68 inf + 44
464.589 * * [simplify]: Extracting #4: cost 102 inf + 45
464.590 * * [simplify]: Extracting #5: cost 237 inf + 806
464.593 * * [simplify]: Extracting #6: cost 320 inf + 4501
464.616 * * [simplify]: Extracting #7: cost 156 inf + 58535
464.661 * * [simplify]: Extracting #8: cost 66 inf + 96203
464.721 * * [simplify]: Extracting #9: cost 25 inf + 123752
464.795 * * [simplify]: Extracting #10: cost 3 inf + 150555
464.892 * * [simplify]: Extracting #11: cost 0 inf + 154193
464.985 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))) (* (+ 1 (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (* U U) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U))))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U))))))))
464.985 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))) (* (+ 1 (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (* U U) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U))))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
464.986 * * * * [progress]: [ 387 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
464.986 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
464.987 * * [simplify]: iters left: 6 (46 enodes)
465.001 * * [simplify]: iters left: 5 (227 enodes)
465.097 * * [simplify]: Extracting #0: cost 1 inf + 0
465.097 * * [simplify]: Extracting #1: cost 30 inf + 0
465.097 * * [simplify]: Extracting #2: cost 59 inf + 1
465.098 * * [simplify]: Extracting #3: cost 69 inf + 2
465.098 * * [simplify]: Extracting #4: cost 94 inf + 45
465.098 * * [simplify]: Extracting #5: cost 204 inf + 479
465.100 * * [simplify]: Extracting #6: cost 267 inf + 5708
465.109 * * [simplify]: Extracting #7: cost 111 inf + 52742
465.133 * * [simplify]: Extracting #8: cost 51 inf + 77026
465.170 * * [simplify]: Extracting #9: cost 16 inf + 107114
465.235 * * [simplify]: Extracting #10: cost 0 inf + 125883
465.275 * [simplify]: Simplified to (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))) (* (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) (* U U))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))))))))
465.275 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))) (* (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) (* U U))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
465.276 * * * * [progress]: [ 388 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
465.276 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
465.276 * * [simplify]: iters left: 6 (53 enodes)
465.293 * * [simplify]: iters left: 5 (271 enodes)
465.388 * * [simplify]: Extracting #0: cost 1 inf + 0
465.388 * * [simplify]: Extracting #1: cost 30 inf + 0
465.389 * * [simplify]: Extracting #2: cost 59 inf + 1
465.389 * * [simplify]: Extracting #3: cost 68 inf + 44
465.390 * * [simplify]: Extracting #4: cost 102 inf + 45
465.391 * * [simplify]: Extracting #5: cost 244 inf + 437
465.395 * * [simplify]: Extracting #6: cost 310 inf + 7266
465.416 * * [simplify]: Extracting #7: cost 155 inf + 57595
465.459 * * [simplify]: Extracting #8: cost 62 inf + 97068
465.521 * * [simplify]: Extracting #9: cost 31 inf + 115806
465.587 * * [simplify]: Extracting #10: cost 18 inf + 128737
465.667 * * [simplify]: Extracting #11: cost 8 inf + 140794
465.732 * * [simplify]: Extracting #12: cost 0 inf + 151879
465.804 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U)))))) -2)) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* U U) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U)))))))
465.804 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U)))))) -2)) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* U U) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
465.806 * * * * [progress]: [ 389 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
465.806 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
465.807 * * [simplify]: iters left: 6 (46 enodes)
465.823 * * [simplify]: iters left: 5 (230 enodes)
465.899 * * [simplify]: Extracting #0: cost 1 inf + 0
465.899 * * [simplify]: Extracting #1: cost 30 inf + 0
465.900 * * [simplify]: Extracting #2: cost 59 inf + 1
465.900 * * [simplify]: Extracting #3: cost 69 inf + 2
465.900 * * [simplify]: Extracting #4: cost 91 inf + 45
465.901 * * [simplify]: Extracting #5: cost 206 inf + 377
465.902 * * [simplify]: Extracting #6: cost 283 inf + 3916
465.920 * * [simplify]: Extracting #7: cost 118 inf + 53045
465.946 * * [simplify]: Extracting #8: cost 52 inf + 78855
465.971 * * [simplify]: Extracting #9: cost 38 inf + 86857
466.000 * * [simplify]: Extracting #10: cost 20 inf + 104358
466.046 * * [simplify]: Extracting #11: cost 0 inf + 126763
466.093 * * [simplify]: Extracting #12: cost 0 inf + 126529
466.148 * [simplify]: Simplified to (/ (* (* -2 (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1))) (* (cos (/ K 2)) J)) (* (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* U U) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))))
466.148 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* -2 (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1))) (* (cos (/ K 2)) J)) (* (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* U U) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
466.149 * * * * [progress]: [ 390 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
466.149 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
466.150 * * [simplify]: iters left: 6 (51 enodes)
466.166 * * [simplify]: iters left: 5 (262 enodes)
466.272 * * [simplify]: Extracting #0: cost 1 inf + 0
466.273 * * [simplify]: Extracting #1: cost 30 inf + 0
466.273 * * [simplify]: Extracting #2: cost 59 inf + 1
466.273 * * [simplify]: Extracting #3: cost 69 inf + 2
466.273 * * [simplify]: Extracting #4: cost 108 inf + 45
466.274 * * [simplify]: Extracting #5: cost 271 inf + 377
466.276 * * [simplify]: Extracting #6: cost 324 inf + 5735
466.288 * * [simplify]: Extracting #7: cost 153 inf + 63916
466.319 * * [simplify]: Extracting #8: cost 62 inf + 102680
466.361 * * [simplify]: Extracting #9: cost 31 inf + 122335
466.410 * * [simplify]: Extracting #10: cost 7 inf + 148470
466.504 * * [simplify]: Extracting #11: cost 0 inf + 157649
466.603 * [simplify]: Simplified to (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* U U) (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) 1)))))) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U)) (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U)) (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))))))) (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1))))
466.603 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* U U) (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) 1)))))) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U)) (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U)) (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))))))) (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
466.605 * * * * [progress]: [ 391 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
466.606 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
466.606 * * [simplify]: iters left: 6 (43 enodes)
466.631 * * [simplify]: iters left: 5 (206 enodes)
466.685 * * [simplify]: Extracting #0: cost 1 inf + 0
466.685 * * [simplify]: Extracting #1: cost 24 inf + 0
466.685 * * [simplify]: Extracting #2: cost 51 inf + 1
466.685 * * [simplify]: Extracting #3: cost 59 inf + 44
466.686 * * [simplify]: Extracting #4: cost 120 inf + 45
466.686 * * [simplify]: Extracting #5: cost 253 inf + 746
466.688 * * [simplify]: Extracting #6: cost 229 inf + 6389
466.699 * * [simplify]: Extracting #7: cost 111 inf + 43458
466.721 * * [simplify]: Extracting #8: cost 33 inf + 74207
466.747 * * [simplify]: Extracting #9: cost 7 inf + 92507
466.781 * * [simplify]: Extracting #10: cost 0 inf + 99727
466.824 * [simplify]: Simplified to (/ (* (sqrt (+ (* (/ (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)) (* (/ (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)) (/ (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)))) 1)) (cos (/ K 2))) (/ (/ (sqrt (+ (* (- 1 (* (/ (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)) (/ (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (+ (* (/ (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)) (* (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (/ (* U U) (* (* 2 (cos (/ K 2))) J)))) (* (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (/ (* U U) (* (* 2 (cos (/ K 2))) J)))))) -2) J))
466.824 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (/ (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)) (* (/ (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)) (/ (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)))) 1)) (cos (/ K 2))) (/ (/ (sqrt (+ (* (- 1 (* (/ (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)) (/ (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (+ (* (/ (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)) (* (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (/ (* U U) (* (* 2 (cos (/ K 2))) J)))) (* (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (/ (* U U) (* (* 2 (cos (/ K 2))) J)))))) -2) J)) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
466.826 * * * * [progress]: [ 392 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
466.826 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
466.827 * * [simplify]: iters left: 6 (50 enodes)
466.860 * * [simplify]: iters left: 5 (255 enodes)
466.960 * * [simplify]: Extracting #0: cost 1 inf + 0
466.960 * * [simplify]: Extracting #1: cost 30 inf + 0
466.960 * * [simplify]: Extracting #2: cost 59 inf + 1
466.961 * * [simplify]: Extracting #3: cost 68 inf + 44
466.961 * * [simplify]: Extracting #4: cost 102 inf + 45
466.962 * * [simplify]: Extracting #5: cost 226 inf + 437
466.966 * * [simplify]: Extracting #6: cost 292 inf + 6429
466.988 * * [simplify]: Extracting #7: cost 142 inf + 59189
467.033 * * [simplify]: Extracting #8: cost 53 inf + 99897
467.103 * * [simplify]: Extracting #9: cost 20 inf + 129253
467.194 * * [simplify]: Extracting #10: cost 5 inf + 145338
467.273 * * [simplify]: Extracting #11: cost 0 inf + 150080
467.342 * * [simplify]: Extracting #12: cost 0 inf + 148801
467.416 * * [simplify]: Extracting #13: cost 0 inf + 148721
467.511 * [simplify]: Simplified to (/ (/ (* (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (+ (* (* (/ U (cos (/ K 2))) (/ U (* 2 J))) (* (/ U (cos (/ K 2))) (/ U (* 2 J)))) (* (* (* (/ U (cos (/ K 2))) (/ U (* 2 J))) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ U (cos (/ K 2))) (/ U (* 2 J))) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (+ (* (* (/ U (cos (/ K 2))) (/ U (* 2 J))) (* (/ U (cos (/ K 2))) (/ U (* 2 J)))) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (/ U (cos (/ K 2))) (/ U (* 2 J))) (* (/ U (cos (/ K 2))) (/ U (* 2 J))))))))))
467.512 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (+ (* (* (/ U (cos (/ K 2))) (/ U (* 2 J))) (* (/ U (cos (/ K 2))) (/ U (* 2 J)))) (* (* (* (/ U (cos (/ K 2))) (/ U (* 2 J))) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ U (cos (/ K 2))) (/ U (* 2 J))) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (+ (* (* (/ U (cos (/ K 2))) (/ U (* 2 J))) (* (/ U (cos (/ K 2))) (/ U (* 2 J)))) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (/ U (cos (/ K 2))) (/ U (* 2 J))) (* (/ U (cos (/ K 2))) (/ U (* 2 J)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
467.514 * * * * [progress]: [ 393 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
467.514 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
467.515 * * [simplify]: iters left: 6 (38 enodes)
467.537 * * [simplify]: iters left: 5 (183 enodes)
467.614 * * [simplify]: Extracting #0: cost 1 inf + 0
467.614 * * [simplify]: Extracting #1: cost 24 inf + 0
467.614 * * [simplify]: Extracting #2: cost 51 inf + 1
467.614 * * [simplify]: Extracting #3: cost 60 inf + 2
467.615 * * [simplify]: Extracting #4: cost 113 inf + 45
467.615 * * [simplify]: Extracting #5: cost 237 inf + 562
467.617 * * [simplify]: Extracting #6: cost 200 inf + 9495
467.626 * * [simplify]: Extracting #7: cost 75 inf + 48276
467.642 * * [simplify]: Extracting #8: cost 27 inf + 69985
467.666 * * [simplify]: Extracting #9: cost 5 inf + 89633
467.705 * * [simplify]: Extracting #10: cost 0 inf + 93745
467.760 * * [simplify]: Extracting #11: cost 0 inf + 93550
467.817 * [simplify]: Simplified to (/ (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (/ (sqrt (+ (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J)) (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))) (* (* (cos (/ K 2)) J) -2)))
467.817 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (/ (sqrt (+ (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J)) (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))) (* (* (cos (/ K 2)) J) -2))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
467.818 * * * * [progress]: [ 394 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
467.818 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
467.819 * * [simplify]: iters left: 6 (53 enodes)
467.851 * * [simplify]: iters left: 5 (272 enodes)
467.961 * * [simplify]: Extracting #0: cost 1 inf + 0
467.961 * * [simplify]: Extracting #1: cost 30 inf + 0
467.961 * * [simplify]: Extracting #2: cost 59 inf + 1
467.961 * * [simplify]: Extracting #3: cost 68 inf + 44
467.962 * * [simplify]: Extracting #4: cost 102 inf + 45
467.963 * * [simplify]: Extracting #5: cost 241 inf + 561
467.966 * * [simplify]: Extracting #6: cost 311 inf + 5840
467.987 * * [simplify]: Extracting #7: cost 153 inf + 56464
468.030 * * [simplify]: Extracting #8: cost 70 inf + 90371
468.062 * * [simplify]: Extracting #9: cost 35 inf + 109135
468.107 * * [simplify]: Extracting #10: cost 19 inf + 123780
468.159 * * [simplify]: Extracting #11: cost 3 inf + 142911
468.208 * * [simplify]: Extracting #12: cost 0 inf + 147227
468.282 * [simplify]: Simplified to (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (+ (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* U U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))))
468.282 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (+ (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* U U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
468.284 * * * * [progress]: [ 395 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
468.284 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
468.285 * * [simplify]: iters left: 6 (46 enodes)
468.299 * * [simplify]: iters left: 5 (231 enodes)
468.401 * * [simplify]: Extracting #0: cost 1 inf + 0
468.402 * * [simplify]: Extracting #1: cost 30 inf + 0
468.402 * * [simplify]: Extracting #2: cost 59 inf + 1
468.402 * * [simplify]: Extracting #3: cost 69 inf + 2
468.403 * * [simplify]: Extracting #4: cost 91 inf + 45
468.404 * * [simplify]: Extracting #5: cost 202 inf + 478
468.406 * * [simplify]: Extracting #6: cost 279 inf + 4531
468.423 * * [simplify]: Extracting #7: cost 98 inf + 60871
468.444 * * [simplify]: Extracting #8: cost 37 inf + 86716
468.480 * * [simplify]: Extracting #9: cost 14 inf + 108307
468.536 * * [simplify]: Extracting #10: cost 0 inf + 124388
468.587 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1)) (* U U))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))))
468.587 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1)) (* U U))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
468.588 * * * * [progress]: [ 396 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
468.589 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
468.589 * * [simplify]: iters left: 6 (51 enodes)
468.605 * * [simplify]: iters left: 5 (263 enodes)
468.713 * * [simplify]: Extracting #0: cost 1 inf + 0
468.713 * * [simplify]: Extracting #1: cost 30 inf + 0
468.713 * * [simplify]: Extracting #2: cost 59 inf + 1
468.713 * * [simplify]: Extracting #3: cost 69 inf + 2
468.714 * * [simplify]: Extracting #4: cost 102 inf + 45
468.715 * * [simplify]: Extracting #5: cost 227 inf + 335
468.718 * * [simplify]: Extracting #6: cost 301 inf + 5911
468.733 * * [simplify]: Extracting #7: cost 152 inf + 57724
468.766 * * [simplify]: Extracting #8: cost 46 inf + 102150
468.840 * * [simplify]: Extracting #9: cost 11 inf + 131926
468.935 * * [simplify]: Extracting #10: cost 1 inf + 142202
469.030 * * [simplify]: Extracting #11: cost 0 inf + 142992
469.126 * * [simplify]: Extracting #12: cost 0 inf + 142953
469.195 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))))
469.195 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
469.197 * * * * [progress]: [ 397 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
469.197 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
469.198 * * [simplify]: iters left: 6 (43 enodes)
469.212 * * [simplify]: iters left: 5 (208 enodes)
469.283 * * [simplify]: Extracting #0: cost 1 inf + 0
469.283 * * [simplify]: Extracting #1: cost 24 inf + 0
469.283 * * [simplify]: Extracting #2: cost 51 inf + 1
469.283 * * [simplify]: Extracting #3: cost 60 inf + 2
469.283 * * [simplify]: Extracting #4: cost 117 inf + 45
469.284 * * [simplify]: Extracting #5: cost 249 inf + 336
469.286 * * [simplify]: Extracting #6: cost 218 inf + 8013
469.303 * * [simplify]: Extracting #7: cost 64 inf + 55342
469.330 * * [simplify]: Extracting #8: cost 28 inf + 74162
469.371 * * [simplify]: Extracting #9: cost 4 inf + 95295
469.407 * * [simplify]: Extracting #10: cost 0 inf + 99157
469.440 * [simplify]: Simplified to (/ (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (/ (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))))) (* (* (cos (/ K 2)) J) -2)))
469.440 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (/ (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))))) (* (* (cos (/ K 2)) J) -2))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
469.441 * * * * [progress]: [ 398 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
469.442 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
469.443 * * [simplify]: iters left: 6 (51 enodes)
469.466 * * [simplify]: iters left: 5 (260 enodes)
469.543 * * [simplify]: Extracting #0: cost 1 inf + 0
469.543 * * [simplify]: Extracting #1: cost 30 inf + 0
469.543 * * [simplify]: Extracting #2: cost 59 inf + 1
469.543 * * [simplify]: Extracting #3: cost 68 inf + 44
469.544 * * [simplify]: Extracting #4: cost 106 inf + 45
469.544 * * [simplify]: Extracting #5: cost 256 inf + 335
469.546 * * [simplify]: Extracting #6: cost 316 inf + 5140
469.557 * * [simplify]: Extracting #7: cost 155 inf + 58507
469.603 * * [simplify]: Extracting #8: cost 56 inf + 99618
469.659 * * [simplify]: Extracting #9: cost 21 inf + 125380
469.734 * * [simplify]: Extracting #10: cost 0 inf + 145196
469.811 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))
469.811 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
469.812 * * * * [progress]: [ 399 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
469.812 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
469.812 * * [simplify]: iters left: 6 (43 enodes)
469.828 * * [simplify]: iters left: 5 (202 enodes)
469.888 * * [simplify]: Extracting #0: cost 1 inf + 0
469.888 * * [simplify]: Extracting #1: cost 24 inf + 0
469.889 * * [simplify]: Extracting #2: cost 51 inf + 1
469.889 * * [simplify]: Extracting #3: cost 60 inf + 2
469.889 * * [simplify]: Extracting #4: cost 118 inf + 45
469.891 * * [simplify]: Extracting #5: cost 248 inf + 622
469.894 * * [simplify]: Extracting #6: cost 219 inf + 7441
469.912 * * [simplify]: Extracting #7: cost 86 inf + 48233
469.937 * * [simplify]: Extracting #8: cost 31 inf + 73433
469.972 * * [simplify]: Extracting #9: cost 11 inf + 87419
470.020 * * [simplify]: Extracting #10: cost 0 inf + 97621
470.059 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (+ (* (* U U) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1))) (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))))) -2))
470.059 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (+ (* (* U U) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1))) (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))))) -2)) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
470.061 * * * * [progress]: [ 400 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
470.061 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
470.062 * * [simplify]: iters left: 6 (52 enodes)
470.095 * * [simplify]: iters left: 5 (266 enodes)
470.206 * * [simplify]: Extracting #0: cost 1 inf + 0
470.206 * * [simplify]: Extracting #1: cost 30 inf + 0
470.207 * * [simplify]: Extracting #2: cost 59 inf + 1
470.207 * * [simplify]: Extracting #3: cost 69 inf + 2
470.207 * * [simplify]: Extracting #4: cost 107 inf + 45
470.209 * * [simplify]: Extracting #5: cost 254 inf + 377
470.212 * * [simplify]: Extracting #6: cost 305 inf + 5087
470.231 * * [simplify]: Extracting #7: cost 158 inf + 54053
470.257 * * [simplify]: Extracting #8: cost 55 inf + 97594
470.315 * * [simplify]: Extracting #9: cost 23 inf + 121841
470.374 * * [simplify]: Extracting #10: cost 3 inf + 143154
470.464 * * [simplify]: Extracting #11: cost 0 inf + 147392
470.521 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) 1)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) 1)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U)))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U))))))))
470.521 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) 1)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) 1)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U)))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
470.523 * * * * [progress]: [ 401 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
470.523 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
470.524 * * [simplify]: iters left: 6 (44 enodes)
470.551 * * [simplify]: iters left: 5 (219 enodes)
470.656 * * [simplify]: Extracting #0: cost 1 inf + 0
470.657 * * [simplify]: Extracting #1: cost 24 inf + 0
470.657 * * [simplify]: Extracting #2: cost 51 inf + 1
470.657 * * [simplify]: Extracting #3: cost 59 inf + 2
470.658 * * [simplify]: Extracting #4: cost 81 inf + 45
470.658 * * [simplify]: Extracting #5: cost 181 inf + 478
470.661 * * [simplify]: Extracting #6: cost 228 inf + 5734
470.678 * * [simplify]: Extracting #7: cost 91 inf + 47671
470.707 * * [simplify]: Extracting #8: cost 35 inf + 69537
470.748 * * [simplify]: Extracting #9: cost 9 inf + 92161
470.792 * * [simplify]: Extracting #10: cost 0 inf + 100472
470.849 * [simplify]: Simplified to (/ (/ (* (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* U (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* U (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1)))))))
470.849 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* U (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* U (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
470.850 * * * * [progress]: [ 402 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
470.850 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
470.851 * * [simplify]: iters left: 6 (51 enodes)
470.867 * * [simplify]: iters left: 5 (263 enodes)
470.967 * * [simplify]: Extracting #0: cost 1 inf + 0
470.967 * * [simplify]: Extracting #1: cost 30 inf + 0
470.968 * * [simplify]: Extracting #2: cost 59 inf + 1
470.968 * * [simplify]: Extracting #3: cost 69 inf + 2
470.968 * * [simplify]: Extracting #4: cost 104 inf + 45
470.969 * * [simplify]: Extracting #5: cost 232 inf + 335
470.973 * * [simplify]: Extracting #6: cost 314 inf + 6355
471.003 * * [simplify]: Extracting #7: cost 153 inf + 61603
471.049 * * [simplify]: Extracting #8: cost 53 inf + 102170
471.086 * * [simplify]: Extracting #9: cost 17 inf + 130643
471.141 * * [simplify]: Extracting #10: cost 1 inf + 147541
471.213 * * [simplify]: Extracting #11: cost 0 inf + 148295
471.265 * * [simplify]: Extracting #12: cost 0 inf + 148256
471.340 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (cos (/ K 2))) J)) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))))
471.341 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (cos (/ K 2))) J)) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
471.343 * * * * [progress]: [ 403 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
471.343 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
471.344 * * [simplify]: iters left: 6 (44 enodes)
471.372 * * [simplify]: iters left: 5 (221 enodes)
471.438 * * [simplify]: Extracting #0: cost 1 inf + 0
471.438 * * [simplify]: Extracting #1: cost 30 inf + 0
471.438 * * [simplify]: Extracting #2: cost 59 inf + 1
471.438 * * [simplify]: Extracting #3: cost 68 inf + 44
471.439 * * [simplify]: Extracting #4: cost 94 inf + 45
471.439 * * [simplify]: Extracting #5: cost 212 inf + 437
471.441 * * [simplify]: Extracting #6: cost 268 inf + 5914
471.450 * * [simplify]: Extracting #7: cost 113 inf + 54116
471.480 * * [simplify]: Extracting #8: cost 37 inf + 87287
471.534 * * [simplify]: Extracting #9: cost 12 inf + 111164
471.594 * * [simplify]: Extracting #10: cost 0 inf + 124911
471.637 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))))) (/ -2 (sqrt (sqrt (+ (* (cos (/ K 2)) (* (* 2 J) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))))))))
471.637 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))))) (/ -2 (sqrt (sqrt (+ (* (cos (/ K 2)) (* (* 2 J) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
471.638 * * * * [progress]: [ 404 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
471.638 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
471.639 * * [simplify]: iters left: 6 (51 enodes)
471.656 * * [simplify]: iters left: 5 (263 enodes)
471.792 * * [simplify]: Extracting #0: cost 1 inf + 0
471.793 * * [simplify]: Extracting #1: cost 30 inf + 0
471.793 * * [simplify]: Extracting #2: cost 59 inf + 1
471.793 * * [simplify]: Extracting #3: cost 68 inf + 44
471.794 * * [simplify]: Extracting #4: cost 99 inf + 45
471.795 * * [simplify]: Extracting #5: cost 219 inf + 478
471.798 * * [simplify]: Extracting #6: cost 295 inf + 6331
471.821 * * [simplify]: Extracting #7: cost 149 inf + 54834
471.868 * * [simplify]: Extracting #8: cost 48 inf + 96364
471.932 * * [simplify]: Extracting #9: cost 16 inf + 122418
472.008 * * [simplify]: Extracting #10: cost 0 inf + 139758
472.100 * * [simplify]: Extracting #11: cost 0 inf + 139445
472.168 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (cos (/ K 2))) J)) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))))
472.168 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (cos (/ K 2))) J)) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
472.170 * * * * [progress]: [ 405 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
472.171 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
472.172 * * [simplify]: iters left: 6 (44 enodes)
472.198 * * [simplify]: iters left: 5 (220 enodes)
472.283 * * [simplify]: Extracting #0: cost 1 inf + 0
472.283 * * [simplify]: Extracting #1: cost 30 inf + 0
472.283 * * [simplify]: Extracting #2: cost 59 inf + 1
472.284 * * [simplify]: Extracting #3: cost 69 inf + 2
472.284 * * [simplify]: Extracting #4: cost 93 inf + 45
472.285 * * [simplify]: Extracting #5: cost 199 inf + 723
472.288 * * [simplify]: Extracting #6: cost 251 inf + 5221
472.314 * * [simplify]: Extracting #7: cost 93 inf + 58967
472.362 * * [simplify]: Extracting #8: cost 26 inf + 93953
472.397 * * [simplify]: Extracting #9: cost 14 inf + 103579
472.444 * * [simplify]: Extracting #10: cost 2 inf + 117287
472.519 * * [simplify]: Extracting #11: cost 0 inf + 119498
472.574 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* 2 (cos (/ K 2))) (* J (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) U) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* U (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1)))))))))
472.574 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* 2 (cos (/ K 2))) (* J (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) U) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* U (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
472.575 * * * * [progress]: [ 406 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
472.576 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
472.577 * * [simplify]: iters left: 6 (52 enodes)
472.597 * * [simplify]: iters left: 5 (264 enodes)
472.721 * * [simplify]: Extracting #0: cost 1 inf + 0
472.722 * * [simplify]: Extracting #1: cost 30 inf + 0
472.722 * * [simplify]: Extracting #2: cost 59 inf + 1
472.722 * * [simplify]: Extracting #3: cost 68 inf + 44
472.723 * * [simplify]: Extracting #4: cost 108 inf + 45
472.724 * * [simplify]: Extracting #5: cost 262 inf + 520
472.727 * * [simplify]: Extracting #6: cost 321 inf + 5236
472.740 * * [simplify]: Extracting #7: cost 157 inf + 58951
472.767 * * [simplify]: Extracting #8: cost 58 inf + 100784
472.835 * * [simplify]: Extracting #9: cost 28 inf + 118781
472.919 * * [simplify]: Extracting #10: cost 4 inf + 144235
472.988 * * [simplify]: Extracting #11: cost 0 inf + 149139
473.053 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1)))))))
473.053 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
473.054 * * * * [progress]: [ 407 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
473.055 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
473.056 * * [simplify]: iters left: 6 (44 enodes)
473.083 * * [simplify]: iters left: 5 (207 enodes)
473.155 * * [simplify]: Extracting #0: cost 1 inf + 0
473.155 * * [simplify]: Extracting #1: cost 24 inf + 0
473.155 * * [simplify]: Extracting #2: cost 51 inf + 1
473.155 * * [simplify]: Extracting #3: cost 60 inf + 2
473.158 * * [simplify]: Extracting #4: cost 119 inf + 45
473.159 * * [simplify]: Extracting #5: cost 246 inf + 765
473.162 * * [simplify]: Extracting #6: cost 217 inf + 7447
473.180 * * [simplify]: Extracting #7: cost 84 inf + 48533
473.216 * * [simplify]: Extracting #8: cost 25 inf + 77312
473.243 * * [simplify]: Extracting #9: cost 4 inf + 93246
473.281 * * [simplify]: Extracting #10: cost 0 inf + 97069
473.311 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* U U))))) -2)
473.311 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* U U))))) -2) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
473.312 * * * * [progress]: [ 408 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
473.312 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
473.313 * * [simplify]: iters left: 6 (51 enodes)
473.345 * * [simplify]: iters left: 5 (263 enodes)
473.449 * * [simplify]: Extracting #0: cost 1 inf + 0
473.450 * * [simplify]: Extracting #1: cost 30 inf + 0
473.450 * * [simplify]: Extracting #2: cost 59 inf + 1
473.450 * * [simplify]: Extracting #3: cost 68 inf + 44
473.451 * * [simplify]: Extracting #4: cost 103 inf + 45
473.452 * * [simplify]: Extracting #5: cost 226 inf + 335
473.456 * * [simplify]: Extracting #6: cost 300 inf + 6107
473.482 * * [simplify]: Extracting #7: cost 134 inf + 62430
473.513 * * [simplify]: Extracting #8: cost 44 inf + 100476
473.584 * * [simplify]: Extracting #9: cost 11 inf + 130677
473.636 * * [simplify]: Extracting #10: cost 0 inf + 144036
473.725 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) 1)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (+ (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) 1) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) U) (* (/ (/ (/ U J) (cos (/ K 2))) 2) U))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))))) (* (* 2 (cos (/ K 2))) J)) (+ (* (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) U) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (+ (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) U) (/ (/ (/ U J) (cos (/ K 2))) 2)))))))))
473.725 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) 1)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (+ (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) 1) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) U) (* (/ (/ (/ U J) (cos (/ K 2))) 2) U))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))))) (* (* 2 (cos (/ K 2))) J)) (+ (* (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) U) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (+ (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) U) (/ (/ (/ U J) (cos (/ K 2))) 2))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
473.727 * * * * [progress]: [ 409 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
473.728 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
473.728 * * [simplify]: iters left: 6 (44 enodes)
473.748 * * [simplify]: iters left: 5 (221 enodes)
473.825 * * [simplify]: Extracting #0: cost 1 inf + 0
473.825 * * [simplify]: Extracting #1: cost 30 inf + 0
473.826 * * [simplify]: Extracting #2: cost 59 inf + 1
473.826 * * [simplify]: Extracting #3: cost 68 inf + 44
473.826 * * [simplify]: Extracting #4: cost 92 inf + 45
473.828 * * [simplify]: Extracting #5: cost 200 inf + 580
473.831 * * [simplify]: Extracting #6: cost 251 inf + 6264
473.847 * * [simplify]: Extracting #7: cost 104 inf + 54089
473.867 * * [simplify]: Extracting #8: cost 38 inf + 82934
473.906 * * [simplify]: Extracting #9: cost 10 inf + 107483
473.957 * * [simplify]: Extracting #10: cost 0 inf + 118821
474.030 * * [simplify]: Extracting #11: cost 0 inf + 118781
474.084 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ U (cos (/ K 2))) (/ U (* 2 J))) (* (/ U (cos (/ K 2))) (/ U (* 2 J))))) (* (* (/ U (cos (/ K 2))) (/ U (* 2 J))) (* (/ U (cos (/ K 2))) (/ U (* 2 J)))))))) (* (cos (/ K 2)) J))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 J) (cos (/ K 2)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))))
474.084 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ U (cos (/ K 2))) (/ U (* 2 J))) (* (/ U (cos (/ K 2))) (/ U (* 2 J))))) (* (* (/ U (cos (/ K 2))) (/ U (* 2 J))) (* (/ U (cos (/ K 2))) (/ U (* 2 J)))))))) (* (cos (/ K 2)) J))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 J) (cos (/ K 2)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
474.085 * * * * [progress]: [ 410 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
474.085 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
474.085 * * [simplify]: iters left: 6 (51 enodes)
474.119 * * [simplify]: iters left: 5 (263 enodes)
474.219 * * [simplify]: Extracting #0: cost 1 inf + 0
474.219 * * [simplify]: Extracting #1: cost 30 inf + 0
474.219 * * [simplify]: Extracting #2: cost 59 inf + 1
474.219 * * [simplify]: Extracting #3: cost 68 inf + 44
474.220 * * [simplify]: Extracting #4: cost 102 inf + 45
474.220 * * [simplify]: Extracting #5: cost 225 inf + 335
474.222 * * [simplify]: Extracting #6: cost 294 inf + 8521
474.236 * * [simplify]: Extracting #7: cost 134 inf + 62989
474.273 * * [simplify]: Extracting #8: cost 45 inf + 99654
474.333 * * [simplify]: Extracting #9: cost 11 inf + 130236
474.401 * * [simplify]: Extracting #10: cost 0 inf + 142915
474.478 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) 1)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* (+ (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) 1) (* (/ (/ (/ U J) (cos (/ K 2))) 2) U)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) U)))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))))) (* (* 2 (cos (/ K 2))) J)) (* U (* (/ (/ (/ U J) (cos (/ K 2))) 2) (+ (* (+ (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))))))))))
474.478 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) 1)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* (+ (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) 1) (* (/ (/ (/ U J) (cos (/ K 2))) 2) U)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) U)))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))))) (* (* 2 (cos (/ K 2))) J)) (* U (* (/ (/ (/ U J) (cos (/ K 2))) 2) (+ (* (+ (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
474.480 * * * * [progress]: [ 411 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
474.480 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
474.481 * * [simplify]: iters left: 6 (44 enodes)
474.508 * * [simplify]: iters left: 5 (221 enodes)
474.624 * * [simplify]: Extracting #0: cost 1 inf + 0
474.624 * * [simplify]: Extracting #1: cost 30 inf + 0
474.624 * * [simplify]: Extracting #2: cost 59 inf + 1
474.625 * * [simplify]: Extracting #3: cost 69 inf + 2
474.625 * * [simplify]: Extracting #4: cost 92 inf + 45
474.626 * * [simplify]: Extracting #5: cost 200 inf + 437
474.630 * * [simplify]: Extracting #6: cost 250 inf + 7030
474.651 * * [simplify]: Extracting #7: cost 107 inf + 51380
474.671 * * [simplify]: Extracting #8: cost 43 inf + 78612
474.710 * * [simplify]: Extracting #9: cost 30 inf + 85938
474.757 * * [simplify]: Extracting #10: cost 10 inf + 105007
474.806 * * [simplify]: Extracting #11: cost 0 inf + 116903
474.851 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* 2 (cos (/ K 2)))) J) (* (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)))))))
474.851 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* 2 (cos (/ K 2)))) J) (* (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
474.852 * * * * [progress]: [ 412 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
474.852 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3))))))
474.853 * * [simplify]: iters left: 6 (46 enodes)
474.869 * * [simplify]: iters left: 5 (226 enodes)
474.971 * * [simplify]: Extracting #0: cost 1 inf + 0
474.971 * * [simplify]: Extracting #1: cost 30 inf + 0
474.971 * * [simplify]: Extracting #2: cost 59 inf + 1
474.972 * * [simplify]: Extracting #3: cost 69 inf + 2
474.972 * * [simplify]: Extracting #4: cost 99 inf + 45
474.973 * * [simplify]: Extracting #5: cost 216 inf + 437
474.976 * * [simplify]: Extracting #6: cost 278 inf + 3677
474.993 * * [simplify]: Extracting #7: cost 149 inf + 48153
475.035 * * [simplify]: Extracting #8: cost 41 inf + 94059
475.089 * * [simplify]: Extracting #9: cost 16 inf + 113637
475.148 * * [simplify]: Extracting #10: cost 1 inf + 131540
475.205 * * [simplify]: Extracting #11: cost 0 inf + 129836
475.267 * * [simplify]: Extracting #12: cost 0 inf + 128512
475.329 * [simplify]: Simplified to (/ (/ (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)) (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))))))) (* (* (cos (/ K 2)) J) -2))) (sqrt (sqrt (+ (* (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))))))
475.329 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)) (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))))))) (* (* (cos (/ K 2)) J) -2))) (sqrt (sqrt (+ (* (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
475.331 * * * * [progress]: [ 413 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
475.331 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
475.332 * * [simplify]: iters left: 6 (45 enodes)
475.359 * * [simplify]: iters left: 5 (213 enodes)
475.428 * * [simplify]: Extracting #0: cost 1 inf + 0
475.428 * * [simplify]: Extracting #1: cost 30 inf + 0
475.428 * * [simplify]: Extracting #2: cost 59 inf + 1
475.429 * * [simplify]: Extracting #3: cost 68 inf + 44
475.429 * * [simplify]: Extracting #4: cost 96 inf + 45
475.430 * * [simplify]: Extracting #5: cost 207 inf + 335
475.433 * * [simplify]: Extracting #6: cost 248 inf + 6060
475.449 * * [simplify]: Extracting #7: cost 110 inf + 47941
475.466 * * [simplify]: Extracting #8: cost 43 inf + 75551
475.517 * * [simplify]: Extracting #9: cost 9 inf + 104738
475.575 * * [simplify]: Extracting #10: cost 0 inf + 114327
475.631 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (- (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (/ (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))))))))
475.631 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (- (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (/ (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
475.632 * * * * [progress]: [ 414 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
475.632 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
475.633 * * [simplify]: iters left: 6 (51 enodes)
475.653 * * [simplify]: iters left: 5 (264 enodes)
475.788 * * [simplify]: Extracting #0: cost 1 inf + 0
475.788 * * [simplify]: Extracting #1: cost 30 inf + 0
475.788 * * [simplify]: Extracting #2: cost 59 inf + 1
475.789 * * [simplify]: Extracting #3: cost 69 inf + 2
475.789 * * [simplify]: Extracting #4: cost 102 inf + 45
475.790 * * [simplify]: Extracting #5: cost 238 inf + 704
475.791 * * [simplify]: Extracting #6: cost 304 inf + 7864
475.801 * * [simplify]: Extracting #7: cost 168 inf + 50943
475.831 * * [simplify]: Extracting #8: cost 77 inf + 87740
475.875 * * [simplify]: Extracting #9: cost 36 inf + 110148
475.946 * * [simplify]: Extracting #10: cost 8 inf + 141661
476.029 * * [simplify]: Extracting #11: cost 0 inf + 153027
476.100 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (* U (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))) (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))))) (* (* (* U U) (* U U)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))
476.101 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (* U (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))) (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))))) (* (* (* U U) (* U U)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
476.102 * * * * [progress]: [ 415 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
476.102 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
476.103 * * [simplify]: iters left: 6 (53 enodes)
476.119 * * [simplify]: iters left: 5 (275 enodes)
476.233 * * [simplify]: Extracting #0: cost 1 inf + 0
476.233 * * [simplify]: Extracting #1: cost 30 inf + 0
476.234 * * [simplify]: Extracting #2: cost 59 inf + 1
476.234 * * [simplify]: Extracting #3: cost 68 inf + 44
476.235 * * [simplify]: Extracting #4: cost 100 inf + 45
476.236 * * [simplify]: Extracting #5: cost 247 inf + 335
476.239 * * [simplify]: Extracting #6: cost 341 inf + 3942
476.253 * * [simplify]: Extracting #7: cost 212 inf + 41794
476.281 * * [simplify]: Extracting #8: cost 54 inf + 102343
476.313 * * [simplify]: Extracting #9: cost 35 inf + 113476
476.374 * * [simplify]: Extracting #10: cost 19 inf + 128722
476.426 * * [simplify]: Extracting #11: cost 8 inf + 141565
476.486 * * [simplify]: Extracting #12: cost 0 inf + 152370
476.535 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* U U)) (+ (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)))))) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (* U (/ (* U U) (* 2 (* (cos (/ K 2)) J))))) (* (* U U) (* U U)))))))
476.535 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* U U)) (+ (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)))))) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (* U (/ (* U U) (* 2 (* (cos (/ K 2)) J))))) (* (* U U) (* U U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
476.536 * * * * [progress]: [ 416 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
476.536 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
476.536 * * [simplify]: iters left: 6 (52 enodes)
476.554 * * [simplify]: iters left: 5 (260 enodes)
476.618 * * [simplify]: Extracting #0: cost 1 inf + 0
476.618 * * [simplify]: Extracting #1: cost 22 inf + 0
476.618 * * [simplify]: Extracting #2: cost 49 inf + 1
476.618 * * [simplify]: Extracting #3: cost 58 inf + 2
476.618 * * [simplify]: Extracting #4: cost 135 inf + 45
476.619 * * [simplify]: Extracting #5: cost 298 inf + 704
476.621 * * [simplify]: Extracting #6: cost 273 inf + 8851
476.629 * * [simplify]: Extracting #7: cost 146 inf + 47677
476.653 * * [simplify]: Extracting #8: cost 38 inf + 102474
476.696 * * [simplify]: Extracting #9: cost 3 inf + 129112
476.756 * * [simplify]: Extracting #10: cost 0 inf + 131269
476.812 * * [simplify]: Extracting #11: cost 0 inf + 131029
476.860 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* U (* (* U U) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1))))))) -2)
476.860 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* U (* (* U U) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1))))))) -2) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
476.862 * * * * [progress]: [ 417 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
476.862 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
476.863 * * [simplify]: iters left: 6 (54 enodes)
476.900 * * [simplify]: iters left: 5 (271 enodes)
477.001 * * [simplify]: Extracting #0: cost 1 inf + 0
477.002 * * [simplify]: Extracting #1: cost 30 inf + 0
477.002 * * [simplify]: Extracting #2: cost 59 inf + 1
477.002 * * [simplify]: Extracting #3: cost 69 inf + 2
477.002 * * [simplify]: Extracting #4: cost 107 inf + 45
477.003 * * [simplify]: Extracting #5: cost 273 inf + 580
477.004 * * [simplify]: Extracting #6: cost 330 inf + 5108
477.013 * * [simplify]: Extracting #7: cost 191 inf + 51339
477.040 * * [simplify]: Extracting #8: cost 50 inf + 113722
477.075 * * [simplify]: Extracting #9: cost 30 inf + 126941
477.127 * * [simplify]: Extracting #10: cost 4 inf + 158972
477.226 * * [simplify]: Extracting #11: cost 0 inf + 163377
477.327 * * [simplify]: Extracting #12: cost 0 inf + 162853
477.414 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* U (* (* U (* (/ (/ (/ U 2) (cos (/ K 2))) J) U)) (+ (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1))))))) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (* U U)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (* U U)))))))
477.414 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* U (* (* U (* (/ (/ (/ U 2) (cos (/ K 2))) J) U)) (+ (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1))))))) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (* U U)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (* U U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
477.415 * * * * [progress]: [ 418 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
477.416 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
477.416 * * [simplify]: iters left: 6 (51 enodes)
477.433 * * [simplify]: iters left: 5 (259 enodes)
477.499 * * [simplify]: Extracting #0: cost 1 inf + 0
477.499 * * [simplify]: Extracting #1: cost 24 inf + 0
477.499 * * [simplify]: Extracting #2: cost 51 inf + 1
477.499 * * [simplify]: Extracting #3: cost 60 inf + 2
477.500 * * [simplify]: Extracting #4: cost 139 inf + 45
477.500 * * [simplify]: Extracting #5: cost 310 inf + 703
477.503 * * [simplify]: Extracting #6: cost 271 inf + 12886
477.519 * * [simplify]: Extracting #7: cost 150 inf + 48737
477.557 * * [simplify]: Extracting #8: cost 45 inf + 96456
477.590 * * [simplify]: Extracting #9: cost 18 inf + 116894
477.659 * * [simplify]: Extracting #10: cost 3 inf + 132838
477.740 * * [simplify]: Extracting #11: cost 0 inf + 136156
477.824 * [simplify]: Simplified to (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1))) (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* 2 (* (cos (/ K 2)) J)))) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (* U U) (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))
477.824 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1))) (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* 2 (* (cos (/ K 2)) J)))) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (* U U) (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
477.825 * * * * [progress]: [ 419 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
477.826 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
477.827 * * [simplify]: iters left: 6 (53 enodes)
477.863 * * [simplify]: iters left: 5 (271 enodes)
478.003 * * [simplify]: Extracting #0: cost 1 inf + 0
478.004 * * [simplify]: Extracting #1: cost 30 inf + 0
478.004 * * [simplify]: Extracting #2: cost 59 inf + 1
478.004 * * [simplify]: Extracting #3: cost 69 inf + 2
478.005 * * [simplify]: Extracting #4: cost 105 inf + 45
478.006 * * [simplify]: Extracting #5: cost 286 inf + 478
478.010 * * [simplify]: Extracting #6: cost 326 inf + 11767
478.029 * * [simplify]: Extracting #7: cost 204 inf + 50739
478.072 * * [simplify]: Extracting #8: cost 68 inf + 105745
478.126 * * [simplify]: Extracting #9: cost 24 inf + 133027
478.201 * * [simplify]: Extracting #10: cost 3 inf + 158643
478.280 * * [simplify]: Extracting #11: cost 0 inf + 162321
478.353 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (+ (* (* U (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* U (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (+ (* (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* U (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* U (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)))))))))
478.353 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (+ (* (* U (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* U (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (+ (* (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* U (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* U (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
478.354 * * * * [progress]: [ 420 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
478.355 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
478.355 * * [simplify]: iters left: 6 (50 enodes)
478.375 * * [simplify]: iters left: 5 (243 enodes)
478.452 * * [simplify]: Extracting #0: cost 1 inf + 0
478.452 * * [simplify]: Extracting #1: cost 24 inf + 0
478.452 * * [simplify]: Extracting #2: cost 51 inf + 1
478.453 * * [simplify]: Extracting #3: cost 59 inf + 44
478.453 * * [simplify]: Extracting #4: cost 129 inf + 45
478.460 * * [simplify]: Extracting #5: cost 280 inf + 561
478.464 * * [simplify]: Extracting #6: cost 252 inf + 9992
478.481 * * [simplify]: Extracting #7: cost 119 inf + 52184
478.519 * * [simplify]: Extracting #8: cost 42 inf + 85971
478.565 * * [simplify]: Extracting #9: cost 28 inf + 94638
478.623 * * [simplify]: Extracting #10: cost 15 inf + 108171
478.686 * * [simplify]: Extracting #11: cost 0 inf + 124834
478.728 * [simplify]: Simplified to (/ (sqrt (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) 1)) (/ (/ (sqrt (+ (* (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (* (* U U) U) (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1))))) -2) (* (cos (/ K 2)) J)))
478.728 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) 1)) (/ (/ (sqrt (+ (* (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (* (* U U) U) (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1))))) -2) (* (cos (/ K 2)) J))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
478.729 * * * * [progress]: [ 421 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
478.730 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
478.730 * * [simplify]: iters left: 6 (53 enodes)
478.751 * * [simplify]: iters left: 5 (268 enodes)
478.827 * * [simplify]: Extracting #0: cost 1 inf + 0
478.827 * * [simplify]: Extracting #1: cost 30 inf + 0
478.827 * * [simplify]: Extracting #2: cost 59 inf + 1
478.827 * * [simplify]: Extracting #3: cost 69 inf + 2
478.828 * * [simplify]: Extracting #4: cost 107 inf + 45
478.828 * * [simplify]: Extracting #5: cost 278 inf + 764
478.830 * * [simplify]: Extracting #6: cost 319 inf + 8151
478.848 * * [simplify]: Extracting #7: cost 186 inf + 50823
478.899 * * [simplify]: Extracting #8: cost 49 inf + 110724
478.973 * * [simplify]: Extracting #9: cost 18 inf + 135703
479.032 * * [simplify]: Extracting #10: cost 8 inf + 147439
479.107 * * [simplify]: Extracting #11: cost 0 inf + 159165
479.186 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (+ (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1) U) (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))))) -2) (sqrt (sqrt (+ (+ (* (* (* U U) U) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (* (* U U) U) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))))
479.186 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (+ (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1) U) (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))))) -2) (sqrt (sqrt (+ (+ (* (* (* U U) U) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (* (* U U) U) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
479.187 * * * * [progress]: [ 422 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
479.188 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
479.188 * * [simplify]: iters left: 6 (51 enodes)
479.213 * * [simplify]: iters left: 5 (262 enodes)
479.328 * * [simplify]: Extracting #0: cost 1 inf + 0
479.328 * * [simplify]: Extracting #1: cost 30 inf + 0
479.328 * * [simplify]: Extracting #2: cost 59 inf + 1
479.329 * * [simplify]: Extracting #3: cost 69 inf + 2
479.329 * * [simplify]: Extracting #4: cost 102 inf + 45
479.330 * * [simplify]: Extracting #5: cost 241 inf + 561
479.331 * * [simplify]: Extracting #6: cost 312 inf + 6740
479.354 * * [simplify]: Extracting #7: cost 131 inf + 69895
479.412 * * [simplify]: Extracting #8: cost 36 inf + 113250
479.477 * * [simplify]: Extracting #9: cost 3 inf + 147134
479.579 * * [simplify]: Extracting #10: cost 0 inf + 150932
479.652 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (+ (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (* U U) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)))))))))
479.652 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (+ (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (* U U) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
479.654 * * * * [progress]: [ 423 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
479.654 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
479.655 * * [simplify]: iters left: 6 (53 enodes)
479.690 * * [simplify]: iters left: 5 (272 enodes)
479.763 * * [simplify]: Extracting #0: cost 1 inf + 0
479.763 * * [simplify]: Extracting #1: cost 30 inf + 0
479.763 * * [simplify]: Extracting #2: cost 59 inf + 1
479.763 * * [simplify]: Extracting #3: cost 69 inf + 2
479.764 * * [simplify]: Extracting #4: cost 100 inf + 45
479.764 * * [simplify]: Extracting #5: cost 244 inf + 479
479.766 * * [simplify]: Extracting #6: cost 328 inf + 5102
479.777 * * [simplify]: Extracting #7: cost 193 inf + 51117
479.812 * * [simplify]: Extracting #8: cost 99 inf + 89721
479.865 * * [simplify]: Extracting #9: cost 42 inf + 114511
479.923 * * [simplify]: Extracting #10: cost 34 inf + 116466
479.988 * * [simplify]: Extracting #11: cost 8 inf + 146130
480.085 * * [simplify]: Extracting #12: cost 0 inf + 158136
480.143 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (+ 1 (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))))))) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (/ (* U (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (/ (* U (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (+ (* (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* U U)) (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) (* (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* U U)) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* U U)))))))))
480.144 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (+ 1 (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))))))) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (/ (* U (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (/ (* U (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (+ (* (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* U U)) (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) (* (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* U U)) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* U U))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
480.145 * * * * [progress]: [ 424 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
480.145 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
480.146 * * [simplify]: iters left: 6 (51 enodes)
480.171 * * [simplify]: iters left: 5 (261 enodes)
480.272 * * [simplify]: Extracting #0: cost 1 inf + 0
480.272 * * [simplify]: Extracting #1: cost 30 inf + 0
480.273 * * [simplify]: Extracting #2: cost 59 inf + 1
480.273 * * [simplify]: Extracting #3: cost 69 inf + 2
480.273 * * [simplify]: Extracting #4: cost 102 inf + 45
480.275 * * [simplify]: Extracting #5: cost 237 inf + 478
480.278 * * [simplify]: Extracting #6: cost 291 inf + 7234
480.293 * * [simplify]: Extracting #7: cost 173 inf + 45253
480.324 * * [simplify]: Extracting #8: cost 71 inf + 86485
480.367 * * [simplify]: Extracting #9: cost 31 inf + 114443
480.429 * * [simplify]: Extracting #10: cost 2 inf + 147504
480.488 * * [simplify]: Extracting #11: cost 0 inf + 149956
480.564 * [simplify]: Simplified to (/ (* (/ (sqrt (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) 1)) (/ (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U (* (/ (/ (/ U 2) (cos (/ K 2))) J) U)) (* U (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)))))) (* (cos (/ K 2)) J))) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (+ (* (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U)))))))
480.564 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (sqrt (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) 1)) (/ (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U (* (/ (/ (/ U 2) (cos (/ K 2))) J) U)) (* U (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)))))) (* (cos (/ K 2)) J))) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (+ (* (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
480.566 * * * * [progress]: [ 425 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
480.567 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
480.568 * * [simplify]: iters left: 6 (53 enodes)
480.592 * * [simplify]: iters left: 5 (271 enodes)
480.700 * * [simplify]: Extracting #0: cost 1 inf + 0
480.701 * * [simplify]: Extracting #1: cost 30 inf + 0
480.701 * * [simplify]: Extracting #2: cost 59 inf + 1
480.701 * * [simplify]: Extracting #3: cost 69 inf + 2
480.702 * * [simplify]: Extracting #4: cost 100 inf + 45
480.707 * * [simplify]: Extracting #5: cost 237 inf + 580
480.710 * * [simplify]: Extracting #6: cost 302 inf + 6852
480.732 * * [simplify]: Extracting #7: cost 147 inf + 57582
480.763 * * [simplify]: Extracting #8: cost 38 inf + 107918
480.815 * * [simplify]: Extracting #9: cost 20 inf + 124094
480.870 * * [simplify]: Extracting #10: cost 4 inf + 143025
480.938 * * [simplify]: Extracting #11: cost 0 inf + 147567
481.034 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (+ 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* 2 (* (cos (/ K 2)) J))) (* (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* U (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))))))))
481.034 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (+ 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* 2 (* (cos (/ K 2)) J))) (* (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* U (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
481.035 * * * * [progress]: [ 426 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
481.036 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
481.037 * * [simplify]: iters left: 6 (44 enodes)
481.052 * * [simplify]: iters left: 5 (223 enodes)
481.123 * * [simplify]: Extracting #0: cost 1 inf + 0
481.124 * * [simplify]: Extracting #1: cost 24 inf + 0
481.124 * * [simplify]: Extracting #2: cost 51 inf + 1
481.124 * * [simplify]: Extracting #3: cost 59 inf + 44
481.124 * * [simplify]: Extracting #4: cost 126 inf + 45
481.125 * * [simplify]: Extracting #5: cost 274 inf + 622
481.127 * * [simplify]: Extracting #6: cost 236 inf + 12564
481.137 * * [simplify]: Extracting #7: cost 103 inf + 54735
481.155 * * [simplify]: Extracting #8: cost 43 inf + 79625
481.207 * * [simplify]: Extracting #9: cost 23 inf + 94329
481.274 * * [simplify]: Extracting #10: cost 1 inf + 116771
481.323 * * [simplify]: Extracting #11: cost 0 inf + 117877
481.386 * [simplify]: Simplified to (/ (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (/ (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (* U U) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))))) (* (* (cos (/ K 2)) J) -2)))
481.386 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (/ (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (* U U) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))))) (* (* (cos (/ K 2)) J) -2))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
481.387 * * * * [progress]: [ 427 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
481.387 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
481.388 * * [simplify]: iters left: 6 (51 enodes)
481.406 * * [simplify]: iters left: 5 (263 enodes)
481.498 * * [simplify]: Extracting #0: cost 1 inf + 0
481.498 * * [simplify]: Extracting #1: cost 30 inf + 0
481.498 * * [simplify]: Extracting #2: cost 59 inf + 1
481.498 * * [simplify]: Extracting #3: cost 68 inf + 44
481.498 * * [simplify]: Extracting #4: cost 102 inf + 45
481.499 * * [simplify]: Extracting #5: cost 250 inf + 520
481.501 * * [simplify]: Extracting #6: cost 310 inf + 8627
481.515 * * [simplify]: Extracting #7: cost 178 inf + 49097
481.548 * * [simplify]: Extracting #8: cost 101 inf + 81209
481.596 * * [simplify]: Extracting #9: cost 35 inf + 116371
481.648 * * [simplify]: Extracting #10: cost 6 inf + 148673
481.708 * * [simplify]: Extracting #11: cost 0 inf + 157549
481.802 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* U U) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* 2 (* (cos (/ K 2)) J))) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (* U U) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1))))))))) -2)
481.802 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* U U) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* 2 (* (cos (/ K 2)) J))) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (* U U) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1))))))))) -2) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
481.803 * * * * [progress]: [ 428 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
481.803 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
481.804 * * [simplify]: iters left: 6 (51 enodes)
481.821 * * [simplify]: iters left: 5 (261 enodes)
481.901 * * [simplify]: Extracting #0: cost 1 inf + 0
481.901 * * [simplify]: Extracting #1: cost 30 inf + 0
481.902 * * [simplify]: Extracting #2: cost 59 inf + 1
481.902 * * [simplify]: Extracting #3: cost 69 inf + 2
481.903 * * [simplify]: Extracting #4: cost 102 inf + 45
481.904 * * [simplify]: Extracting #5: cost 239 inf + 377
481.908 * * [simplify]: Extracting #6: cost 300 inf + 8014
481.937 * * [simplify]: Extracting #7: cost 139 inf + 64430
481.974 * * [simplify]: Extracting #8: cost 50 inf + 102502
482.012 * * [simplify]: Extracting #9: cost 34 inf + 114703
482.080 * * [simplify]: Extracting #10: cost 7 inf + 144553
482.174 * * [simplify]: Extracting #11: cost 0 inf + 153812
482.244 * [simplify]: Simplified to (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (* (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U)))))) (/ -2 (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))) (* (* (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1) U) (* U (* (/ (/ (/ U 2) (cos (/ K 2))) J) U)))))))) (sqrt (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) 1))))
482.244 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (* (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U)))))) (/ -2 (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))) (* (* (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1) U) (* U (* (/ (/ (/ U 2) (cos (/ K 2))) J) U)))))))) (sqrt (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) 1)))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
482.246 * * * * [progress]: [ 429 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
482.247 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
482.248 * * [simplify]: iters left: 6 (53 enodes)
482.281 * * [simplify]: iters left: 5 (271 enodes)
482.371 * * [simplify]: Extracting #0: cost 1 inf + 0
482.371 * * [simplify]: Extracting #1: cost 30 inf + 0
482.371 * * [simplify]: Extracting #2: cost 59 inf + 1
482.371 * * [simplify]: Extracting #3: cost 68 inf + 44
482.372 * * [simplify]: Extracting #4: cost 100 inf + 45
482.372 * * [simplify]: Extracting #5: cost 240 inf + 621
482.374 * * [simplify]: Extracting #6: cost 312 inf + 7353
482.387 * * [simplify]: Extracting #7: cost 149 inf + 61701
482.421 * * [simplify]: Extracting #8: cost 57 inf + 100433
482.475 * * [simplify]: Extracting #9: cost 18 inf + 130131
482.533 * * [simplify]: Extracting #10: cost 5 inf + 144543
482.622 * * [simplify]: Extracting #11: cost 0 inf + 150713
482.699 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) (* J -2))) (* (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) U) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)))))) (sqrt (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))))
482.700 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) (* J -2))) (* (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) U) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)))))) (sqrt (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
482.701 * * * * [progress]: [ 430 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
482.702 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
482.703 * * [simplify]: iters left: 6 (50 enodes)
482.729 * * [simplify]: iters left: 5 (260 enodes)
482.830 * * [simplify]: Extracting #0: cost 1 inf + 0
482.830 * * [simplify]: Extracting #1: cost 30 inf + 0
482.830 * * [simplify]: Extracting #2: cost 59 inf + 1
482.831 * * [simplify]: Extracting #3: cost 69 inf + 2
482.831 * * [simplify]: Extracting #4: cost 102 inf + 45
482.832 * * [simplify]: Extracting #5: cost 246 inf + 478
482.836 * * [simplify]: Extracting #6: cost 310 inf + 7646
482.853 * * [simplify]: Extracting #7: cost 175 inf + 49757
482.893 * * [simplify]: Extracting #8: cost 93 inf + 84152
482.954 * * [simplify]: Extracting #9: cost 34 inf + 119494
483.019 * * [simplify]: Extracting #10: cost 3 inf + 154122
483.080 * * [simplify]: Extracting #11: cost 0 inf + 155600
483.165 * * [simplify]: Extracting #12: cost 0 inf + 154280
483.239 * * [simplify]: Extracting #13: cost 0 inf + 154160
483.311 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (+ (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) U)))))
483.311 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (+ (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) U))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
483.313 * * * * [progress]: [ 431 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
483.314 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
483.314 * * [simplify]: iters left: 6 (52 enodes)
483.347 * * [simplify]: iters left: 5 (270 enodes)
483.443 * * [simplify]: Extracting #0: cost 1 inf + 0
483.443 * * [simplify]: Extracting #1: cost 30 inf + 0
483.444 * * [simplify]: Extracting #2: cost 59 inf + 1
483.444 * * [simplify]: Extracting #3: cost 69 inf + 2
483.444 * * [simplify]: Extracting #4: cost 100 inf + 45
483.445 * * [simplify]: Extracting #5: cost 249 inf + 764
483.446 * * [simplify]: Extracting #6: cost 335 inf + 4475
483.454 * * [simplify]: Extracting #7: cost 210 inf + 43348
483.497 * * [simplify]: Extracting #8: cost 51 inf + 110209
483.544 * * [simplify]: Extracting #9: cost 20 inf + 134318
483.607 * * [simplify]: Extracting #10: cost 7 inf + 148092
483.675 * * [simplify]: Extracting #11: cost 0 inf + 157791
483.762 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (* U U) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)))))))) (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (* U U) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))))
483.762 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (* U U) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)))))))) (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (* U U) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
483.764 * * * * [progress]: [ 432 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
483.765 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
483.765 * * [simplify]: iters left: 6 (50 enodes)
483.786 * * [simplify]: iters left: 5 (260 enodes)
483.902 * * [simplify]: Extracting #0: cost 1 inf + 0
483.902 * * [simplify]: Extracting #1: cost 30 inf + 0
483.902 * * [simplify]: Extracting #2: cost 59 inf + 1
483.902 * * [simplify]: Extracting #3: cost 68 inf + 44
483.902 * * [simplify]: Extracting #4: cost 102 inf + 45
483.903 * * [simplify]: Extracting #5: cost 247 inf + 580
483.905 * * [simplify]: Extracting #6: cost 305 inf + 7302
483.914 * * [simplify]: Extracting #7: cost 165 inf + 53849
483.936 * * [simplify]: Extracting #8: cost 76 inf + 90947
483.970 * * [simplify]: Extracting #9: cost 39 inf + 113103
484.042 * * [simplify]: Extracting #10: cost 2 inf + 152003
484.142 * * [simplify]: Extracting #11: cost 0 inf + 154295
484.242 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* U U)))))))
484.242 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* U U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
484.244 * * * * [progress]: [ 433 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
484.244 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
484.245 * * [simplify]: iters left: 6 (52 enodes)
484.269 * * [simplify]: iters left: 5 (271 enodes)
484.381 * * [simplify]: Extracting #0: cost 1 inf + 0
484.381 * * [simplify]: Extracting #1: cost 30 inf + 0
484.382 * * [simplify]: Extracting #2: cost 59 inf + 1
484.382 * * [simplify]: Extracting #3: cost 68 inf + 44
484.382 * * [simplify]: Extracting #4: cost 100 inf + 45
484.384 * * [simplify]: Extracting #5: cost 246 inf + 806
484.387 * * [simplify]: Extracting #6: cost 313 inf + 7541
484.414 * * [simplify]: Extracting #7: cost 131 inf + 71919
484.461 * * [simplify]: Extracting #8: cost 65 inf + 98880
484.512 * * [simplify]: Extracting #9: cost 36 inf + 114649
484.573 * * [simplify]: Extracting #10: cost 8 inf + 145284
484.642 * * [simplify]: Extracting #11: cost 0 inf + 155568
484.740 * * [simplify]: Extracting #12: cost 0 inf + 155088
484.809 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (* U U) (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))))) (/ (* (sqrt (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (* U (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (* U U) (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)))))))))
484.809 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (* U U) (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))))) (/ (* (sqrt (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (* U (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (* U U) (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
484.811 * * * * [progress]: [ 434 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
484.811 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
484.812 * * [simplify]: iters left: 6 (51 enodes)
484.828 * * [simplify]: iters left: 5 (262 enodes)
484.936 * * [simplify]: Extracting #0: cost 1 inf + 0
484.936 * * [simplify]: Extracting #1: cost 30 inf + 0
484.937 * * [simplify]: Extracting #2: cost 59 inf + 1
484.937 * * [simplify]: Extracting #3: cost 69 inf + 2
484.937 * * [simplify]: Extracting #4: cost 98 inf + 45
484.938 * * [simplify]: Extracting #5: cost 235 inf + 561
484.939 * * [simplify]: Extracting #6: cost 320 inf + 6491
484.947 * * [simplify]: Extracting #7: cost 186 inf + 50785
484.969 * * [simplify]: Extracting #8: cost 96 inf + 89290
485.009 * * [simplify]: Extracting #9: cost 39 inf + 115626
485.069 * * [simplify]: Extracting #10: cost 21 inf + 134507
485.167 * * [simplify]: Extracting #11: cost 2 inf + 158992
485.229 * * [simplify]: Extracting #12: cost 0 inf + 160004
485.305 * * [simplify]: Extracting #13: cost 0 inf + 159684
485.401 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (cos (/ K 2)) (* (* 2 J) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) (* (* (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (* U (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (* U U) (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))))))
485.401 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (cos (/ K 2)) (* (* 2 J) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) (* (* (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (* U (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (* U U) (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
485.404 * * * * [progress]: [ 435 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
485.404 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
485.405 * * [simplify]: iters left: 6 (53 enodes)
485.438 * * [simplify]: iters left: 5 (271 enodes)
485.582 * * [simplify]: Extracting #0: cost 1 inf + 0
485.582 * * [simplify]: Extracting #1: cost 30 inf + 0
485.583 * * [simplify]: Extracting #2: cost 59 inf + 1
485.583 * * [simplify]: Extracting #3: cost 69 inf + 2
485.583 * * [simplify]: Extracting #4: cost 98 inf + 45
485.584 * * [simplify]: Extracting #5: cost 246 inf + 437
485.586 * * [simplify]: Extracting #6: cost 312 inf + 7487
485.598 * * [simplify]: Extracting #7: cost 184 inf + 49169
485.623 * * [simplify]: Extracting #8: cost 84 inf + 89429
485.657 * * [simplify]: Extracting #9: cost 38 inf + 113248
485.721 * * [simplify]: Extracting #10: cost 21 inf + 132507
485.778 * * [simplify]: Extracting #11: cost 5 inf + 150267
485.862 * * [simplify]: Extracting #12: cost 0 inf + 155453
485.929 * * [simplify]: Extracting #13: cost 0 inf + 154973
486.002 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* U (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* U (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (* (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* 2 (cos (/ K 2)))) J))))) (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* 2 (* (cos (/ K 2)) J))) (* U (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (* U U) (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)))))))))
486.002 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* U (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* U (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (* (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* 2 (cos (/ K 2)))) J))))) (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* 2 (* (cos (/ K 2)) J))) (* U (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (* U U) (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
486.004 * * * * [progress]: [ 436 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
486.004 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
486.005 * * [simplify]: iters left: 6 (50 enodes)
486.038 * * [simplify]: iters left: 5 (262 enodes)
486.149 * * [simplify]: Extracting #0: cost 1 inf + 0
486.149 * * [simplify]: Extracting #1: cost 30 inf + 0
486.150 * * [simplify]: Extracting #2: cost 59 inf + 1
486.150 * * [simplify]: Extracting #3: cost 68 inf + 44
486.150 * * [simplify]: Extracting #4: cost 102 inf + 45
486.152 * * [simplify]: Extracting #5: cost 247 inf + 377
486.155 * * [simplify]: Extracting #6: cost 332 inf + 6602
486.174 * * [simplify]: Extracting #7: cost 191 inf + 53862
486.226 * * [simplify]: Extracting #8: cost 48 inf + 120406
486.294 * * [simplify]: Extracting #9: cost 1 inf + 160612
486.374 * * [simplify]: Extracting #10: cost 0 inf + 161638
486.463 * [simplify]: Simplified to (/ (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (/ (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* 2 (* (cos (/ K 2)) J))) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* U U)))))) (* (* (cos (/ K 2)) J) -2)))
486.463 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (/ (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* 2 (* (cos (/ K 2)) J))) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* U U)))))) (* (* (cos (/ K 2)) J) -2))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
486.464 * * * * [progress]: [ 437 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
486.464 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
486.465 * * [simplify]: iters left: 6 (52 enodes)
486.488 * * [simplify]: iters left: 5 (271 enodes)
486.603 * * [simplify]: Extracting #0: cost 1 inf + 0
486.603 * * [simplify]: Extracting #1: cost 30 inf + 0
486.603 * * [simplify]: Extracting #2: cost 59 inf + 1
486.604 * * [simplify]: Extracting #3: cost 68 inf + 44
486.604 * * [simplify]: Extracting #4: cost 101 inf + 45
486.605 * * [simplify]: Extracting #5: cost 255 inf + 805
486.609 * * [simplify]: Extracting #6: cost 328 inf + 8245
486.628 * * [simplify]: Extracting #7: cost 185 inf + 52422
486.669 * * [simplify]: Extracting #8: cost 52 inf + 108422
486.721 * * [simplify]: Extracting #9: cost 19 inf + 134325
486.816 * * [simplify]: Extracting #10: cost 4 inf + 150311
486.878 * * [simplify]: Extracting #11: cost 0 inf + 155732
486.957 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (* U U) (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))))))) -2) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (cos (/ K 2))) (* 2 J)) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))
486.957 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (* U U) (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))))))) -2) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (cos (/ K 2))) (* 2 J)) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
486.959 * * * * [progress]: [ 438 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
486.959 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
486.960 * * [simplify]: iters left: 6 (50 enodes)
486.992 * * [simplify]: iters left: 5 (262 enodes)
487.083 * * [simplify]: Extracting #0: cost 1 inf + 0
487.083 * * [simplify]: Extracting #1: cost 30 inf + 0
487.083 * * [simplify]: Extracting #2: cost 59 inf + 1
487.083 * * [simplify]: Extracting #3: cost 69 inf + 2
487.083 * * [simplify]: Extracting #4: cost 103 inf + 45
487.084 * * [simplify]: Extracting #5: cost 247 inf + 377
487.086 * * [simplify]: Extracting #6: cost 320 inf + 8267
487.096 * * [simplify]: Extracting #7: cost 202 inf + 44846
487.124 * * [simplify]: Extracting #8: cost 74 inf + 97577
487.157 * * [simplify]: Extracting #9: cost 31 inf + 124152
487.245 * * [simplify]: Extracting #10: cost 2 inf + 156332
487.332 * * [simplify]: Extracting #11: cost 0 inf + 159144
487.391 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U)) (* U U)))))) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U)) (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1))))))
487.391 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U)) (* U U)))))) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U)) (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
487.392 * * * * [progress]: [ 439 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
487.393 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
487.393 * * [simplify]: iters left: 6 (52 enodes)
487.411 * * [simplify]: iters left: 5 (272 enodes)
487.533 * * [simplify]: Extracting #0: cost 1 inf + 0
487.534 * * [simplify]: Extracting #1: cost 30 inf + 0
487.534 * * [simplify]: Extracting #2: cost 59 inf + 1
487.534 * * [simplify]: Extracting #3: cost 68 inf + 44
487.534 * * [simplify]: Extracting #4: cost 102 inf + 45
487.535 * * [simplify]: Extracting #5: cost 250 inf + 663
487.536 * * [simplify]: Extracting #6: cost 322 inf + 6110
487.548 * * [simplify]: Extracting #7: cost 151 inf + 61887
487.583 * * [simplify]: Extracting #8: cost 45 inf + 107201
487.628 * * [simplify]: Extracting #9: cost 20 inf + 127588
487.713 * * [simplify]: Extracting #10: cost 5 inf + 143574
487.788 * * [simplify]: Extracting #11: cost 0 inf + 150061
487.870 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* U U)))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* J (* 2 (cos (/ K 2))))) (* (* U U) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1))))))))
487.871 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* U U)))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* J (* 2 (cos (/ K 2))))) (* (* U U) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
487.872 * * * * [progress]: [ 440 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
487.873 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
487.874 * * [simplify]: iters left: 6 (51 enodes)
487.895 * * [simplify]: iters left: 5 (262 enodes)
487.994 * * [simplify]: Extracting #0: cost 1 inf + 0
487.994 * * [simplify]: Extracting #1: cost 30 inf + 0
487.995 * * [simplify]: Extracting #2: cost 59 inf + 1
487.995 * * [simplify]: Extracting #3: cost 68 inf + 44
487.998 * * [simplify]: Extracting #4: cost 103 inf + 45
487.999 * * [simplify]: Extracting #5: cost 240 inf + 561
488.001 * * [simplify]: Extracting #6: cost 325 inf + 9401
488.014 * * [simplify]: Extracting #7: cost 185 inf + 57595
488.052 * * [simplify]: Extracting #8: cost 53 inf + 110359
488.108 * * [simplify]: Extracting #9: cost 24 inf + 132067
488.181 * * [simplify]: Extracting #10: cost 3 inf + 156202
488.252 * * [simplify]: Extracting #11: cost 0 inf + 160120
488.326 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* J (* 2 (cos (/ K 2))))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))))) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* J (* 2 (cos (/ K 2)))))) (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (* U U)) (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))))
488.326 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* J (* 2 (cos (/ K 2))))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))))) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* J (* 2 (cos (/ K 2)))))) (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (* U U)) (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
488.327 * * * * [progress]: [ 441 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
488.328 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
488.328 * * [simplify]: iters left: 6 (53 enodes)
488.354 * * [simplify]: iters left: 5 (271 enodes)
488.502 * * [simplify]: Extracting #0: cost 1 inf + 0
488.502 * * [simplify]: Extracting #1: cost 30 inf + 0
488.502 * * [simplify]: Extracting #2: cost 59 inf + 1
488.502 * * [simplify]: Extracting #3: cost 68 inf + 44
488.502 * * [simplify]: Extracting #4: cost 99 inf + 45
488.503 * * [simplify]: Extracting #5: cost 241 inf + 621
488.504 * * [simplify]: Extracting #6: cost 319 inf + 3788
488.512 * * [simplify]: Extracting #7: cost 188 inf + 52780
488.538 * * [simplify]: Extracting #8: cost 73 inf + 108079
488.582 * * [simplify]: Extracting #9: cost 21 inf + 139123
488.676 * * [simplify]: Extracting #10: cost 4 inf + 151490
488.753 * * [simplify]: Extracting #11: cost 0 inf + 152069
488.854 * * [simplify]: Extracting #12: cost 0 inf + 150269
488.952 * * [simplify]: Extracting #13: cost 0 inf + 149389
489.027 * * [simplify]: Extracting #14: cost 0 inf + 149349
489.101 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (* (* U U) (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))))))) (sqrt (sqrt (+ (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (cos (/ K 2)) (* (* 2 J) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))))
489.102 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (* (* U U) (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))))))) (sqrt (sqrt (+ (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (cos (/ K 2)) (* (* 2 J) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
489.103 * * * * [progress]: [ 442 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
489.104 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
489.105 * * [simplify]: iters left: 6 (50 enodes)
489.131 * * [simplify]: iters left: 5 (262 enodes)
489.225 * * [simplify]: Extracting #0: cost 1 inf + 0
489.225 * * [simplify]: Extracting #1: cost 30 inf + 0
489.225 * * [simplify]: Extracting #2: cost 59 inf + 1
489.225 * * [simplify]: Extracting #3: cost 69 inf + 2
489.225 * * [simplify]: Extracting #4: cost 102 inf + 45
489.226 * * [simplify]: Extracting #5: cost 244 inf + 335
489.228 * * [simplify]: Extracting #6: cost 326 inf + 7773
489.239 * * [simplify]: Extracting #7: cost 209 inf + 47579
489.279 * * [simplify]: Extracting #8: cost 73 inf + 103063
489.347 * * [simplify]: Extracting #9: cost 32 inf + 125200
489.437 * * [simplify]: Extracting #10: cost 2 inf + 157286
489.495 * * [simplify]: Extracting #11: cost 0 inf + 160138
489.551 * [simplify]: Simplified to (/ -2 (/ (* (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* 2 (* (cos (/ K 2)) J))) (* (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (* (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U)) (* U U)))))) (* (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)) (* (cos (/ K 2)) J))))
489.551 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ -2 (/ (* (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* 2 (* (cos (/ K 2)) J))) (* (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (* (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U)) (* U U)))))) (* (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)) (* (cos (/ K 2)) J)))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
489.553 * * * * [progress]: [ 443 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
489.553 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
489.554 * * [simplify]: iters left: 6 (52 enodes)
489.571 * * [simplify]: iters left: 5 (271 enodes)
489.673 * * [simplify]: Extracting #0: cost 1 inf + 0
489.674 * * [simplify]: Extracting #1: cost 30 inf + 0
489.674 * * [simplify]: Extracting #2: cost 59 inf + 1
489.674 * * [simplify]: Extracting #3: cost 68 inf + 44
489.674 * * [simplify]: Extracting #4: cost 101 inf + 45
489.675 * * [simplify]: Extracting #5: cost 247 inf + 621
489.677 * * [simplify]: Extracting #6: cost 306 inf + 9622
489.689 * * [simplify]: Extracting #7: cost 161 inf + 52951
489.721 * * [simplify]: Extracting #8: cost 83 inf + 86547
489.784 * * [simplify]: Extracting #9: cost 25 inf + 122274
489.852 * * [simplify]: Extracting #10: cost 4 inf + 148409
489.945 * * [simplify]: Extracting #11: cost 0 inf + 151672
490.043 * * [simplify]: Extracting #12: cost 0 inf + 151272
490.128 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (sqrt (sqrt (+ (* (cos (/ K 2)) (* (* 2 J) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (/ (* (cos (/ K 2)) (* J -2)) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) U) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))))))))
490.129 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (sqrt (sqrt (+ (* (cos (/ K 2)) (* (* 2 J) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (/ (* (cos (/ K 2)) (* J -2)) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (* (* (+ (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1) U) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
490.131 * * * * [progress]: [ 444 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
490.131 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3))))))
490.132 * * [simplify]: iters left: 6 (51 enodes)
490.164 * * [simplify]: iters left: 5 (260 enodes)
490.276 * * [simplify]: Extracting #0: cost 1 inf + 0
490.276 * * [simplify]: Extracting #1: cost 30 inf + 0
490.277 * * [simplify]: Extracting #2: cost 59 inf + 1
490.277 * * [simplify]: Extracting #3: cost 69 inf + 2
490.278 * * [simplify]: Extracting #4: cost 100 inf + 45
490.279 * * [simplify]: Extracting #5: cost 244 inf + 519
490.282 * * [simplify]: Extracting #6: cost 303 inf + 6094
490.295 * * [simplify]: Extracting #7: cost 130 inf + 66129
490.337 * * [simplify]: Extracting #8: cost 36 inf + 112522
490.389 * * [simplify]: Extracting #9: cost 11 inf + 134362
490.487 * * [simplify]: Extracting #10: cost 0 inf + 148092
490.543 * * [simplify]: Extracting #11: cost 0 inf + 146906
490.641 * [simplify]: Simplified to (* (/ (* (cos (/ K 2)) J) (/ (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (* (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (* U U))))) (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)))) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (- 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (- 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))))
490.641 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (cos (/ K 2)) J) (/ (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (* (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (* U U))))) (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)))) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (- 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (- 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
490.644 * * * * [progress]: [ 445 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
490.644 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
490.645 * * [simplify]: iters left: 6 (51 enodes)
490.678 * * [simplify]: iters left: 5 (268 enodes)
490.762 * * [simplify]: Extracting #0: cost 1 inf + 0
490.762 * * [simplify]: Extracting #1: cost 30 inf + 0
490.763 * * [simplify]: Extracting #2: cost 59 inf + 1
490.763 * * [simplify]: Extracting #3: cost 68 inf + 44
490.763 * * [simplify]: Extracting #4: cost 98 inf + 45
490.764 * * [simplify]: Extracting #5: cost 239 inf + 519
490.769 * * [simplify]: Extracting #6: cost 300 inf + 3747
490.782 * * [simplify]: Extracting #7: cost 192 inf + 40782
490.823 * * [simplify]: Extracting #8: cost 52 inf + 108049
490.903 * * [simplify]: Extracting #9: cost 6 inf + 143423
490.967 * * [simplify]: Extracting #10: cost 0 inf + 141925
491.017 * * [simplify]: Extracting #11: cost 0 inf + 138245
491.086 * [simplify]: Simplified to (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1))) (sqrt (sqrt (- (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (- 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (- 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (* U U) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1))))))))
491.086 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1))) (sqrt (sqrt (- (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (- 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (- 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (* U U) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
491.088 * * * * [progress]: [ 446 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
491.089 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
491.090 * * [simplify]: iters left: 6 (53 enodes)
491.122 * * [simplify]: iters left: 5 (277 enodes)
491.258 * * [simplify]: Extracting #0: cost 1 inf + 0
491.258 * * [simplify]: Extracting #1: cost 30 inf + 0
491.258 * * [simplify]: Extracting #2: cost 59 inf + 1
491.258 * * [simplify]: Extracting #3: cost 69 inf + 2
491.259 * * [simplify]: Extracting #4: cost 102 inf + 45
491.259 * * [simplify]: Extracting #5: cost 250 inf + 335
491.261 * * [simplify]: Extracting #6: cost 333 inf + 5847
491.271 * * [simplify]: Extracting #7: cost 170 inf + 55513
491.315 * * [simplify]: Extracting #8: cost 47 inf + 107520
491.378 * * [simplify]: Extracting #9: cost 22 inf + 125547
491.454 * * [simplify]: Extracting #10: cost 7 inf + 142171
491.523 * * [simplify]: Extracting #11: cost 0 inf + 152071
491.603 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (* U U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)))))))) -2) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (* U U) (* U U)) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* U U) (* U U)))))))
491.603 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (* U U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)))))))) -2) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (* U U) (* U U)) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* U U) (* U U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
491.604 * * * * [progress]: [ 447 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
491.604 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
491.605 * * [simplify]: iters left: 6 (46 enodes)
491.630 * * [simplify]: iters left: 5 (234 enodes)
491.713 * * [simplify]: Extracting #0: cost 1 inf + 0
491.713 * * [simplify]: Extracting #1: cost 30 inf + 0
491.713 * * [simplify]: Extracting #2: cost 59 inf + 1
491.713 * * [simplify]: Extracting #3: cost 69 inf + 2
491.713 * * [simplify]: Extracting #4: cost 90 inf + 45
491.714 * * [simplify]: Extracting #5: cost 203 inf + 335
491.715 * * [simplify]: Extracting #6: cost 289 inf + 3115
491.719 * * [simplify]: Extracting #7: cost 210 inf + 24868
491.734 * * [simplify]: Extracting #8: cost 74 inf + 71988
491.780 * * [simplify]: Extracting #9: cost 27 inf + 100239
491.846 * * [simplify]: Extracting #10: cost 9 inf + 120740
491.922 * * [simplify]: Extracting #11: cost 0 inf + 132611
491.985 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* U (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (* U U) (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) 1)))))))) -2) (sqrt (sqrt (+ (* (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (+ (* (* U U) (* U U)) (* (* (* U U) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* U U) (/ (/ (/ U 2) (cos (/ K 2))) J))))))))
491.985 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* U (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (* U U) (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) 1)))))))) -2) (sqrt (sqrt (+ (* (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (+ (* (* U U) (* U U)) (* (* (* U U) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* U U) (/ (/ (/ U 2) (cos (/ K 2))) J)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
491.986 * * * * [progress]: [ 448 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
491.986 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
491.987 * * [simplify]: iters left: 6 (54 enodes)
492.013 * * [simplify]: iters left: 5 (273 enodes)
492.092 * * [simplify]: Extracting #0: cost 1 inf + 0
492.092 * * [simplify]: Extracting #1: cost 30 inf + 0
492.092 * * [simplify]: Extracting #2: cost 59 inf + 1
492.093 * * [simplify]: Extracting #3: cost 69 inf + 2
492.093 * * [simplify]: Extracting #4: cost 107 inf + 45
492.094 * * [simplify]: Extracting #5: cost 277 inf + 437
492.098 * * [simplify]: Extracting #6: cost 327 inf + 6822
492.115 * * [simplify]: Extracting #7: cost 195 inf + 47848
492.157 * * [simplify]: Extracting #8: cost 81 inf + 94358
492.219 * * [simplify]: Extracting #9: cost 37 inf + 119324
492.282 * * [simplify]: Extracting #10: cost 17 inf + 140151
492.352 * * [simplify]: Extracting #11: cost 4 inf + 156564
492.406 * * [simplify]: Extracting #12: cost 0 inf + 162468
492.485 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (+ (* (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* U U)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* U U)))))) (sqrt (sqrt (+ (* (* U U) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* J (* 2 (cos (/ K 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))))))))))
492.486 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (+ (* (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* U U)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* U U)))))) (sqrt (sqrt (+ (* (* U U) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* J (* 2 (cos (/ K 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
492.487 * * * * [progress]: [ 449 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
492.488 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
492.489 * * [simplify]: iters left: 6 (47 enodes)
492.516 * * [simplify]: iters left: 5 (231 enodes)
492.584 * * [simplify]: Extracting #0: cost 1 inf + 0
492.584 * * [simplify]: Extracting #1: cost 22 inf + 0
492.584 * * [simplify]: Extracting #2: cost 49 inf + 1
492.585 * * [simplify]: Extracting #3: cost 58 inf + 2
492.585 * * [simplify]: Extracting #4: cost 115 inf + 45
492.587 * * [simplify]: Extracting #5: cost 260 inf + 664
492.594 * * [simplify]: Extracting #6: cost 225 inf + 9160
492.614 * * [simplify]: Extracting #7: cost 71 inf + 58315
492.653 * * [simplify]: Extracting #8: cost 15 inf + 92777
492.708 * * [simplify]: Extracting #9: cost 0 inf + 106158
492.761 * * [simplify]: Extracting #10: cost 0 inf + 104455
492.792 * [simplify]: Simplified to (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1))) (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* 2 (* (cos (/ K 2)) J))) (* (* (* U U) (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U)))))
492.792 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1))) (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* 2 (* (cos (/ K 2)) J))) (* (* (* U U) (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
492.793 * * * * [progress]: [ 450 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
492.794 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
492.794 * * [simplify]: iters left: 6 (53 enodes)
492.812 * * [simplify]: iters left: 5 (273 enodes)
492.919 * * [simplify]: Extracting #0: cost 1 inf + 0
492.919 * * [simplify]: Extracting #1: cost 30 inf + 0
492.919 * * [simplify]: Extracting #2: cost 59 inf + 1
492.919 * * [simplify]: Extracting #3: cost 68 inf + 44
492.920 * * [simplify]: Extracting #4: cost 107 inf + 45
492.920 * * [simplify]: Extracting #5: cost 291 inf + 335
492.922 * * [simplify]: Extracting #6: cost 342 inf + 5731
492.932 * * [simplify]: Extracting #7: cost 214 inf + 48019
492.977 * * [simplify]: Extracting #8: cost 67 inf + 106973
493.047 * * [simplify]: Extracting #9: cost 23 inf + 136894
493.128 * * [simplify]: Extracting #10: cost 16 inf + 143591
493.195 * * [simplify]: Extracting #11: cost 0 inf + 163922
493.276 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (+ (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) U)))))))) -2) (sqrt (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) U))))))
493.277 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (+ (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) U)))))))) -2) (sqrt (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
493.278 * * * * [progress]: [ 451 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
493.279 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
493.280 * * [simplify]: iters left: 6 (46 enodes)
493.305 * * [simplify]: iters left: 5 (228 enodes)
493.377 * * [simplify]: Extracting #0: cost 1 inf + 0
493.377 * * [simplify]: Extracting #1: cost 24 inf + 0
493.377 * * [simplify]: Extracting #2: cost 51 inf + 1
493.377 * * [simplify]: Extracting #3: cost 59 inf + 44
493.378 * * [simplify]: Extracting #4: cost 120 inf + 45
493.379 * * [simplify]: Extracting #5: cost 271 inf + 663
493.382 * * [simplify]: Extracting #6: cost 226 inf + 11404
493.393 * * [simplify]: Extracting #7: cost 74 inf + 61842
493.417 * * [simplify]: Extracting #8: cost 17 inf + 94754
493.449 * * [simplify]: Extracting #9: cost 0 inf + 112031
493.508 * * [simplify]: Extracting #10: cost 0 inf + 110254
493.572 * [simplify]: Simplified to (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1))) (sqrt (+ (* (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (cos (/ K 2))) J)) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) U)) U))))
493.572 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1))) (sqrt (+ (* (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (cos (/ K 2))) J)) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (* U (/ (/ U (cos (/ K 2))) (* 2 J))) U)) U)))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
493.574 * * * * [progress]: [ 452 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
493.574 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
493.575 * * [simplify]: iters left: 6 (53 enodes)
493.608 * * [simplify]: iters left: 5 (269 enodes)
493.744 * * [simplify]: Extracting #0: cost 1 inf + 0
493.744 * * [simplify]: Extracting #1: cost 30 inf + 0
493.745 * * [simplify]: Extracting #2: cost 59 inf + 1
493.745 * * [simplify]: Extracting #3: cost 68 inf + 44
493.746 * * [simplify]: Extracting #4: cost 109 inf + 45
493.747 * * [simplify]: Extracting #5: cost 289 inf + 519
493.751 * * [simplify]: Extracting #6: cost 334 inf + 6984
493.765 * * [simplify]: Extracting #7: cost 179 inf + 57305
493.794 * * [simplify]: Extracting #8: cost 51 inf + 112200
493.841 * * [simplify]: Extracting #9: cost 24 inf + 132636
493.897 * * [simplify]: Extracting #10: cost 19 inf + 137364
493.974 * * [simplify]: Extracting #11: cost 6 inf + 153618
494.075 * * [simplify]: Extracting #12: cost 0 inf + 162491
494.151 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* U U) U))))) -2)) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U U)))))))
494.152 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* U U) U))))) -2)) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
494.154 * * * * [progress]: [ 453 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
494.154 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
494.155 * * [simplify]: iters left: 6 (45 enodes)
494.182 * * [simplify]: iters left: 5 (211 enodes)
494.255 * * [simplify]: Extracting #0: cost 1 inf + 0
494.256 * * [simplify]: Extracting #1: cost 24 inf + 0
494.256 * * [simplify]: Extracting #2: cost 51 inf + 1
494.256 * * [simplify]: Extracting #3: cost 59 inf + 44
494.257 * * [simplify]: Extracting #4: cost 117 inf + 45
494.258 * * [simplify]: Extracting #5: cost 251 inf + 785
494.262 * * [simplify]: Extracting #6: cost 225 inf + 8053
494.280 * * [simplify]: Extracting #7: cost 89 inf + 58434
494.312 * * [simplify]: Extracting #8: cost 29 inf + 78081
494.337 * * [simplify]: Extracting #9: cost 9 inf + 95152
494.371 * * [simplify]: Extracting #10: cost 0 inf + 103943
494.410 * [simplify]: Simplified to (/ (* (* (cos (/ K 2)) (* J -2)) (sqrt (+ (* (/ (/ (/ (* U U) (* 2 (cos (/ K 2)))) J) (* (* 2 J) (cos (/ K 2)))) (* (/ (/ (/ (* U U) (* 2 (cos (/ K 2)))) J) (* (* 2 J) (cos (/ K 2)))) (/ (/ (/ (* U U) (* 2 (cos (/ K 2)))) J) (* (* 2 J) (cos (/ K 2)))))) 1))) (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* (* 2 J) (cos (/ K 2))) (- 1 (* (/ (/ (/ (* U U) (* 2 (cos (/ K 2)))) J) (* (* 2 J) (cos (/ K 2)))) (/ (/ (/ (* U U) (* 2 (cos (/ K 2)))) J) (* (* 2 J) (cos (/ K 2)))))))) (* (* (+ (/ (/ (/ (* U U) (* 2 (cos (/ K 2)))) J) (* (* 2 J) (cos (/ K 2)))) 1) (/ (/ (* U U) (* 2 (cos (/ K 2)))) J)) (* U U)))))
494.410 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (cos (/ K 2)) (* J -2)) (sqrt (+ (* (/ (/ (/ (* U U) (* 2 (cos (/ K 2)))) J) (* (* 2 J) (cos (/ K 2)))) (* (/ (/ (/ (* U U) (* 2 (cos (/ K 2)))) J) (* (* 2 J) (cos (/ K 2)))) (/ (/ (/ (* U U) (* 2 (cos (/ K 2)))) J) (* (* 2 J) (cos (/ K 2)))))) 1))) (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* (* 2 J) (cos (/ K 2))) (- 1 (* (/ (/ (/ (* U U) (* 2 (cos (/ K 2)))) J) (* (* 2 J) (cos (/ K 2)))) (/ (/ (/ (* U U) (* 2 (cos (/ K 2)))) J) (* (* 2 J) (cos (/ K 2)))))))) (* (* (+ (/ (/ (/ (* U U) (* 2 (cos (/ K 2)))) J) (* (* 2 J) (cos (/ K 2)))) 1) (/ (/ (* U U) (* 2 (cos (/ K 2)))) J)) (* U U))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
494.411 * * * * [progress]: [ 454 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
494.412 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
494.413 * * [simplify]: iters left: 6 (53 enodes)
494.431 * * [simplify]: iters left: 5 (273 enodes)
494.541 * * [simplify]: Extracting #0: cost 1 inf + 0
494.541 * * [simplify]: Extracting #1: cost 30 inf + 0
494.541 * * [simplify]: Extracting #2: cost 59 inf + 1
494.541 * * [simplify]: Extracting #3: cost 68 inf + 44
494.541 * * [simplify]: Extracting #4: cost 102 inf + 45
494.542 * * [simplify]: Extracting #5: cost 246 inf + 764
494.544 * * [simplify]: Extracting #6: cost 314 inf + 8603
494.556 * * [simplify]: Extracting #7: cost 151 inf + 62449
494.596 * * [simplify]: Extracting #8: cost 62 inf + 102090
494.650 * * [simplify]: Extracting #9: cost 27 inf + 125651
494.696 * * [simplify]: Extracting #10: cost 22 inf + 128417
494.762 * * [simplify]: Extracting #11: cost 17 inf + 133384
494.843 * * [simplify]: Extracting #12: cost 6 inf + 146066
494.930 * * [simplify]: Extracting #13: cost 0 inf + 154660
495.004 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* U U)))))) -2)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* U U) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))))
495.005 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* U U)))))) -2)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* U U) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
495.006 * * * * [progress]: [ 455 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
495.006 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
495.006 * * [simplify]: iters left: 6 (46 enodes)
495.021 * * [simplify]: iters left: 5 (231 enodes)
495.098 * * [simplify]: Extracting #0: cost 1 inf + 0
495.099 * * [simplify]: Extracting #1: cost 30 inf + 0
495.099 * * [simplify]: Extracting #2: cost 59 inf + 1
495.099 * * [simplify]: Extracting #3: cost 68 inf + 44
495.099 * * [simplify]: Extracting #4: cost 90 inf + 45
495.100 * * [simplify]: Extracting #5: cost 204 inf + 580
495.101 * * [simplify]: Extracting #6: cost 282 inf + 4327
495.116 * * [simplify]: Extracting #7: cost 97 inf + 63926
495.155 * * [simplify]: Extracting #8: cost 20 inf + 106129
495.207 * * [simplify]: Extracting #9: cost 1 inf + 127336
495.247 * * [simplify]: Extracting #10: cost 0 inf + 128482
495.307 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (* U U) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1)))))) (sqrt (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))))
495.307 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (* U U) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1)))))) (sqrt (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
495.308 * * * * [progress]: [ 456 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
495.309 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
495.310 * * [simplify]: iters left: 6 (53 enodes)
495.329 * * [simplify]: iters left: 5 (272 enodes)
495.420 * * [simplify]: Extracting #0: cost 1 inf + 0
495.420 * * [simplify]: Extracting #1: cost 30 inf + 0
495.420 * * [simplify]: Extracting #2: cost 59 inf + 1
495.421 * * [simplify]: Extracting #3: cost 69 inf + 2
495.421 * * [simplify]: Extracting #4: cost 102 inf + 45
495.422 * * [simplify]: Extracting #5: cost 242 inf + 663
495.423 * * [simplify]: Extracting #6: cost 304 inf + 6763
495.433 * * [simplify]: Extracting #7: cost 148 inf + 56173
495.463 * * [simplify]: Extracting #8: cost 72 inf + 86550
495.512 * * [simplify]: Extracting #9: cost 39 inf + 105338
495.566 * * [simplify]: Extracting #10: cost 19 inf + 122686
495.622 * * [simplify]: Extracting #11: cost 3 inf + 142217
495.680 * * [simplify]: Extracting #12: cost 0 inf + 146294
495.745 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* U U)))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))))
495.746 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* U U)))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
495.746 * * * * [progress]: [ 457 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
495.747 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
495.747 * * [simplify]: iters left: 6 (46 enodes)
495.761 * * [simplify]: iters left: 5 (230 enodes)
495.824 * * [simplify]: Extracting #0: cost 1 inf + 0
495.824 * * [simplify]: Extracting #1: cost 30 inf + 0
495.824 * * [simplify]: Extracting #2: cost 59 inf + 1
495.824 * * [simplify]: Extracting #3: cost 68 inf + 44
495.824 * * [simplify]: Extracting #4: cost 90 inf + 45
495.825 * * [simplify]: Extracting #5: cost 200 inf + 478
495.827 * * [simplify]: Extracting #6: cost 267 inf + 5815
495.843 * * [simplify]: Extracting #7: cost 108 inf + 58493
495.873 * * [simplify]: Extracting #8: cost 35 inf + 93035
495.904 * * [simplify]: Extracting #9: cost 14 inf + 113707
495.960 * * [simplify]: Extracting #10: cost 2 inf + 129259
496.045 * * [simplify]: Extracting #11: cost 0 inf + 132341
496.107 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (cos (/ K 2))) J)) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (* U U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))))))) -2)) (sqrt (sqrt (+ (+ (* (* (/ U (* 2 (cos (/ K 2)))) (/ U J)) (* (/ U (* 2 (cos (/ K 2)))) (/ U J))) (/ (* (* (* (/ U (* 2 (cos (/ K 2)))) (/ U J)) (* (/ U (* 2 (cos (/ K 2)))) (/ U J))) (* (/ U (* 2 (cos (/ K 2)))) (/ U J))) (* (* 2 (cos (/ K 2))) J))) (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))
496.108 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (cos (/ K 2))) J)) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (* U U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))))))) -2)) (sqrt (sqrt (+ (+ (* (* (/ U (* 2 (cos (/ K 2)))) (/ U J)) (* (/ U (* 2 (cos (/ K 2)))) (/ U J))) (/ (* (* (* (/ U (* 2 (cos (/ K 2)))) (/ U J)) (* (/ U (* 2 (cos (/ K 2)))) (/ U J))) (* (/ U (* 2 (cos (/ K 2)))) (/ U J))) (* (* 2 (cos (/ K 2))) J))) (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
496.109 * * * * [progress]: [ 458 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
496.110 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
496.111 * * [simplify]: iters left: 6 (51 enodes)
496.141 * * [simplify]: iters left: 5 (265 enodes)
496.224 * * [simplify]: Extracting #0: cost 1 inf + 0
496.224 * * [simplify]: Extracting #1: cost 30 inf + 0
496.225 * * [simplify]: Extracting #2: cost 59 inf + 1
496.225 * * [simplify]: Extracting #3: cost 68 inf + 44
496.225 * * [simplify]: Extracting #4: cost 101 inf + 45
496.226 * * [simplify]: Extracting #5: cost 249 inf + 377
496.227 * * [simplify]: Extracting #6: cost 316 inf + 6781
496.245 * * [simplify]: Extracting #7: cost 145 inf + 62565
496.272 * * [simplify]: Extracting #8: cost 59 inf + 98836
496.311 * * [simplify]: Extracting #9: cost 34 inf + 115222
496.376 * * [simplify]: Extracting #10: cost 5 inf + 148164
496.429 * * [simplify]: Extracting #11: cost 0 inf + 155491
496.489 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* 2 (* (cos (/ K 2)) J))) (* (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* U U))))))) (/ (* (sqrt (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* U U)) (* (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* U U)))))))))
496.489 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* 2 (* (cos (/ K 2)) J))) (* (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* U U))))))) (/ (* (sqrt (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* U U)) (* (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* U U))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
496.490 * * * * [progress]: [ 459 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
496.490 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
496.491 * * [simplify]: iters left: 6 (39 enodes)
496.511 * * [simplify]: iters left: 5 (193 enodes)
496.577 * * [simplify]: Extracting #0: cost 1 inf + 0
496.577 * * [simplify]: Extracting #1: cost 24 inf + 0
496.578 * * [simplify]: Extracting #2: cost 51 inf + 1
496.578 * * [simplify]: Extracting #3: cost 60 inf + 2
496.578 * * [simplify]: Extracting #4: cost 113 inf + 45
496.580 * * [simplify]: Extracting #5: cost 250 inf + 663
496.584 * * [simplify]: Extracting #6: cost 215 inf + 9916
496.607 * * [simplify]: Extracting #7: cost 59 inf + 62338
496.641 * * [simplify]: Extracting #8: cost 26 inf + 78574
496.686 * * [simplify]: Extracting #9: cost 7 inf + 97460
496.734 * * [simplify]: Extracting #10: cost 0 inf + 103158
496.769 * * [simplify]: Extracting #11: cost 0 inf + 102241
496.825 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) (* J -2))) (sqrt (+ (* (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* J (* 2 (cos (/ K 2))))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* U (* (* U U) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1)))))))
496.825 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) (* J -2))) (sqrt (+ (* (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* J (* 2 (cos (/ K 2))))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* U (* (* U U) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
496.826 * * * * [progress]: [ 460 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
496.827 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
496.828 * * [simplify]: iters left: 6 (53 enodes)
496.850 * * [simplify]: iters left: 5 (272 enodes)
496.960 * * [simplify]: Extracting #0: cost 1 inf + 0
496.960 * * [simplify]: Extracting #1: cost 30 inf + 0
496.961 * * [simplify]: Extracting #2: cost 59 inf + 1
496.961 * * [simplify]: Extracting #3: cost 69 inf + 2
496.961 * * [simplify]: Extracting #4: cost 102 inf + 45
496.963 * * [simplify]: Extracting #5: cost 246 inf + 478
496.966 * * [simplify]: Extracting #6: cost 321 inf + 5541
496.994 * * [simplify]: Extracting #7: cost 143 inf + 62958
497.042 * * [simplify]: Extracting #8: cost 44 inf + 105937
497.098 * * [simplify]: Extracting #9: cost 17 inf + 129141
497.157 * * [simplify]: Extracting #10: cost 2 inf + 146847
497.232 * * [simplify]: Extracting #11: cost 0 inf + 149179
497.291 * [simplify]: Simplified to (/ (/ -2 (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* U U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))) (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))
497.292 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ -2 (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* U U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))) (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
497.293 * * * * [progress]: [ 461 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
497.293 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
497.293 * * [simplify]: iters left: 6 (46 enodes)
497.308 * * [simplify]: iters left: 5 (230 enodes)
497.419 * * [simplify]: Extracting #0: cost 1 inf + 0
497.420 * * [simplify]: Extracting #1: cost 30 inf + 0
497.420 * * [simplify]: Extracting #2: cost 59 inf + 1
497.420 * * [simplify]: Extracting #3: cost 69 inf + 2
497.421 * * [simplify]: Extracting #4: cost 90 inf + 45
497.422 * * [simplify]: Extracting #5: cost 201 inf + 478
497.425 * * [simplify]: Extracting #6: cost 274 inf + 5744
497.447 * * [simplify]: Extracting #7: cost 99 inf + 63741
497.490 * * [simplify]: Extracting #8: cost 42 inf + 84235
497.546 * * [simplify]: Extracting #9: cost 15 inf + 110160
497.599 * * [simplify]: Extracting #10: cost 0 inf + 126346
497.665 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) U) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) U)) (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (sqrt (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (* (* U U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))))))))
497.665 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) U) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) U)) (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (sqrt (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (* (* U U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
497.666 * * * * [progress]: [ 462 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
497.667 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
497.668 * * [simplify]: iters left: 6 (52 enodes)
497.704 * * [simplify]: iters left: 5 (272 enodes)
497.792 * * [simplify]: Extracting #0: cost 1 inf + 0
497.792 * * [simplify]: Extracting #1: cost 30 inf + 0
497.793 * * [simplify]: Extracting #2: cost 59 inf + 1
497.793 * * [simplify]: Extracting #3: cost 68 inf + 44
497.793 * * [simplify]: Extracting #4: cost 102 inf + 45
497.795 * * [simplify]: Extracting #5: cost 251 inf + 764
497.798 * * [simplify]: Extracting #6: cost 351 inf + 2465
497.813 * * [simplify]: Extracting #7: cost 212 inf + 45683
497.859 * * [simplify]: Extracting #8: cost 58 inf + 106537
497.893 * * [simplify]: Extracting #9: cost 36 inf + 118486
497.969 * * [simplify]: Extracting #10: cost 3 inf + 157105
498.062 * * [simplify]: Extracting #11: cost 0 inf + 158903
498.127 * * [simplify]: Extracting #12: cost 0 inf + 158732
498.209 * [simplify]: Simplified to (/ (/ (* (* (cos (/ K 2)) J) (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* U U)) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (+ (* (/ (/ (* U U) (cos (/ K 2))) (* 2 J)) (* (/ (/ (* U U) (cos (/ K 2))) (* 2 J)) (/ (/ (* U U) (cos (/ K 2))) (* 2 J)))) (* (/ (/ (* U U) (cos (/ K 2))) (* 2 J)) (* U U)))))))
498.209 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (cos (/ K 2)) J) (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* U U)) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (+ (* (/ (/ (* U U) (cos (/ K 2))) (* 2 J)) (* (/ (/ (* U U) (cos (/ K 2))) (* 2 J)) (/ (/ (* U U) (cos (/ K 2))) (* 2 J)))) (* (/ (/ (* U U) (cos (/ K 2))) (* 2 J)) (* U U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
498.210 * * * * [progress]: [ 463 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
498.211 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
498.211 * * [simplify]: iters left: 6 (45 enodes)
498.225 * * [simplify]: iters left: 5 (230 enodes)
498.320 * * [simplify]: Extracting #0: cost 1 inf + 0
498.320 * * [simplify]: Extracting #1: cost 30 inf + 0
498.320 * * [simplify]: Extracting #2: cost 59 inf + 1
498.320 * * [simplify]: Extracting #3: cost 68 inf + 44
498.321 * * [simplify]: Extracting #4: cost 90 inf + 45
498.321 * * [simplify]: Extracting #5: cost 205 inf + 622
498.323 * * [simplify]: Extracting #6: cost 290 inf + 4892
498.340 * * [simplify]: Extracting #7: cost 98 inf + 71087
498.371 * * [simplify]: Extracting #8: cost 22 inf + 111889
498.417 * * [simplify]: Extracting #9: cost 1 inf + 134335
498.493 * * [simplify]: Extracting #10: cost 0 inf + 132698
498.570 * * [simplify]: Extracting #11: cost 0 inf + 132618
498.618 * [simplify]: Simplified to (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1))) (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) U) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) U)))))) (sqrt (sqrt (+ (* (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (cos (/ K 2))) J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (* (* U U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))))))))
498.618 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1))) (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) U) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) U)))))) (sqrt (sqrt (+ (* (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (cos (/ K 2))) J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (* (* U U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
498.620 * * * * [progress]: [ 464 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
498.620 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
498.621 * * [simplify]: iters left: 6 (52 enodes)
498.643 * * [simplify]: iters left: 5 (273 enodes)
498.733 * * [simplify]: Extracting #0: cost 1 inf + 0
498.734 * * [simplify]: Extracting #1: cost 30 inf + 0
498.734 * * [simplify]: Extracting #2: cost 59 inf + 1
498.734 * * [simplify]: Extracting #3: cost 68 inf + 44
498.734 * * [simplify]: Extracting #4: cost 102 inf + 45
498.735 * * [simplify]: Extracting #5: cost 253 inf + 437
498.737 * * [simplify]: Extracting #6: cost 331 inf + 5298
498.746 * * [simplify]: Extracting #7: cost 179 inf + 52069
498.799 * * [simplify]: Extracting #8: cost 45 inf + 109582
498.853 * * [simplify]: Extracting #9: cost 23 inf + 126935
498.903 * * [simplify]: Extracting #10: cost 19 inf + 130715
498.960 * * [simplify]: Extracting #11: cost 4 inf + 148299
499.030 * * [simplify]: Extracting #12: cost 0 inf + 154043
499.089 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) 1)) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* U U))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* U U))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))))))
499.089 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) 1)) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* U U))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* U U))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
499.091 * * * * [progress]: [ 465 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
499.091 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
499.091 * * [simplify]: iters left: 6 (45 enodes)
499.107 * * [simplify]: iters left: 5 (230 enodes)
499.185 * * [simplify]: Extracting #0: cost 1 inf + 0
499.185 * * [simplify]: Extracting #1: cost 30 inf + 0
499.185 * * [simplify]: Extracting #2: cost 59 inf + 1
499.186 * * [simplify]: Extracting #3: cost 68 inf + 44
499.186 * * [simplify]: Extracting #4: cost 90 inf + 45
499.186 * * [simplify]: Extracting #5: cost 207 inf + 478
499.188 * * [simplify]: Extracting #6: cost 276 inf + 5139
499.199 * * [simplify]: Extracting #7: cost 97 inf + 63399
499.239 * * [simplify]: Extracting #8: cost 17 inf + 110560
499.300 * * [simplify]: Extracting #9: cost 0 inf + 128533
499.353 * * [simplify]: Extracting #10: cost 0 inf + 126088
499.402 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* U U) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1)))))))) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* U (* (* U U) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1))))))))
499.402 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* U U) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1)))))))) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* U (* (* U U) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
499.403 * * * * [progress]: [ 466 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
499.404 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
499.405 * * [simplify]: iters left: 6 (53 enodes)
499.438 * * [simplify]: iters left: 5 (272 enodes)
499.551 * * [simplify]: Extracting #0: cost 1 inf + 0
499.551 * * [simplify]: Extracting #1: cost 30 inf + 0
499.552 * * [simplify]: Extracting #2: cost 59 inf + 1
499.552 * * [simplify]: Extracting #3: cost 69 inf + 2
499.552 * * [simplify]: Extracting #4: cost 101 inf + 45
499.553 * * [simplify]: Extracting #5: cost 246 inf + 478
499.554 * * [simplify]: Extracting #6: cost 327 inf + 6575
499.571 * * [simplify]: Extracting #7: cost 190 inf + 48926
499.613 * * [simplify]: Extracting #8: cost 60 inf + 102041
499.656 * * [simplify]: Extracting #9: cost 22 inf + 127166
499.719 * * [simplify]: Extracting #10: cost 6 inf + 144536
499.788 * * [simplify]: Extracting #11: cost 0 inf + 152890
499.867 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (* (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* U U))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))))) -2)
499.867 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (* (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* U U))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))))) -2) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
499.869 * * * * [progress]: [ 467 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
499.869 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
499.870 * * [simplify]: iters left: 6 (46 enodes)
499.893 * * [simplify]: iters left: 5 (231 enodes)
499.983 * * [simplify]: Extracting #0: cost 1 inf + 0
499.983 * * [simplify]: Extracting #1: cost 30 inf + 0
499.984 * * [simplify]: Extracting #2: cost 59 inf + 1
499.984 * * [simplify]: Extracting #3: cost 68 inf + 44
499.984 * * [simplify]: Extracting #4: cost 92 inf + 45
499.985 * * [simplify]: Extracting #5: cost 215 inf + 580
499.988 * * [simplify]: Extracting #6: cost 298 inf + 4044
500.009 * * [simplify]: Extracting #7: cost 116 inf + 64718
500.054 * * [simplify]: Extracting #8: cost 23 inf + 114593
500.115 * * [simplify]: Extracting #9: cost 0 inf + 138131
500.178 * * [simplify]: Extracting #10: cost 0 inf + 136017
500.245 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) (* (* 2 (cos (/ K 2))) (* J (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))))) (sqrt (sqrt (+ (* (* (* 2 (cos (/ K 2))) J) (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (* U U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))))))
500.245 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) (* (* 2 (cos (/ K 2))) (* J (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))))) (sqrt (sqrt (+ (* (* (* 2 (cos (/ K 2))) J) (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (* U U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
500.246 * * * * [progress]: [ 468 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
500.247 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
500.248 * * [simplify]: iters left: 6 (52 enodes)
500.281 * * [simplify]: iters left: 5 (273 enodes)
500.397 * * [simplify]: Extracting #0: cost 1 inf + 0
500.397 * * [simplify]: Extracting #1: cost 30 inf + 0
500.397 * * [simplify]: Extracting #2: cost 59 inf + 1
500.398 * * [simplify]: Extracting #3: cost 69 inf + 2
500.398 * * [simplify]: Extracting #4: cost 101 inf + 45
500.399 * * [simplify]: Extracting #5: cost 244 inf + 621
500.407 * * [simplify]: Extracting #6: cost 342 inf + 4260
500.426 * * [simplify]: Extracting #7: cost 181 inf + 56413
500.476 * * [simplify]: Extracting #8: cost 38 inf + 116960
500.544 * * [simplify]: Extracting #9: cost 7 inf + 143485
500.621 * * [simplify]: Extracting #10: cost 0 inf + 151714
500.685 * * [simplify]: Extracting #11: cost 0 inf + 151452
500.754 * [simplify]: Simplified to (/ (/ (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) U) (* (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) U) (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (+ (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* U U))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* U U)))))))
500.754 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) U) (* (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) U) (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (+ (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* U U))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* U U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
500.755 * * * * [progress]: [ 469 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
500.756 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
500.756 * * [simplify]: iters left: 6 (45 enodes)
500.771 * * [simplify]: iters left: 5 (232 enodes)
500.886 * * [simplify]: Extracting #0: cost 1 inf + 0
500.886 * * [simplify]: Extracting #1: cost 30 inf + 0
500.887 * * [simplify]: Extracting #2: cost 59 inf + 1
500.887 * * [simplify]: Extracting #3: cost 69 inf + 2
500.888 * * [simplify]: Extracting #4: cost 91 inf + 45
500.889 * * [simplify]: Extracting #5: cost 212 inf + 765
500.892 * * [simplify]: Extracting #6: cost 293 inf + 5808
500.913 * * [simplify]: Extracting #7: cost 112 inf + 64829
500.950 * * [simplify]: Extracting #8: cost 17 inf + 117006
501.022 * * [simplify]: Extracting #9: cost 0 inf + 131841
501.100 * * [simplify]: Extracting #10: cost 0 inf + 129789
501.177 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* U U) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))))))
501.178 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* U U) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
501.179 * * * * [progress]: [ 470 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
501.180 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
501.181 * * [simplify]: iters left: 6 (52 enodes)
501.214 * * [simplify]: iters left: 5 (274 enodes)
501.324 * * [simplify]: Extracting #0: cost 1 inf + 0
501.324 * * [simplify]: Extracting #1: cost 30 inf + 0
501.324 * * [simplify]: Extracting #2: cost 59 inf + 1
501.325 * * [simplify]: Extracting #3: cost 68 inf + 44
501.325 * * [simplify]: Extracting #4: cost 104 inf + 45
501.326 * * [simplify]: Extracting #5: cost 256 inf + 437
501.328 * * [simplify]: Extracting #6: cost 337 inf + 5521
501.337 * * [simplify]: Extracting #7: cost 192 inf + 50003
501.362 * * [simplify]: Extracting #8: cost 57 inf + 101260
501.419 * * [simplify]: Extracting #9: cost 35 inf + 114982
501.462 * * [simplify]: Extracting #10: cost 18 inf + 131213
501.519 * * [simplify]: Extracting #11: cost 3 inf + 149077
501.606 * * [simplify]: Extracting #12: cost 0 inf + 152195
501.663 * [simplify]: Simplified to (/ (/ (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)))))) (* (* (cos (/ K 2)) J) -2))) (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* U U))))))
501.663 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)))))) (* (* (cos (/ K 2)) J) -2))) (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* U U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
501.665 * * * * [progress]: [ 471 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
501.665 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
501.666 * * [simplify]: iters left: 6 (45 enodes)
501.693 * * [simplify]: iters left: 5 (232 enodes)
501.795 * * [simplify]: Extracting #0: cost 1 inf + 0
501.795 * * [simplify]: Extracting #1: cost 30 inf + 0
501.795 * * [simplify]: Extracting #2: cost 59 inf + 1
501.795 * * [simplify]: Extracting #3: cost 68 inf + 44
501.796 * * [simplify]: Extracting #4: cost 90 inf + 45
501.797 * * [simplify]: Extracting #5: cost 208 inf + 622
501.800 * * [simplify]: Extracting #6: cost 280 inf + 5990
501.819 * * [simplify]: Extracting #7: cost 115 inf + 55940
501.848 * * [simplify]: Extracting #8: cost 48 inf + 82200
501.892 * * [simplify]: Extracting #9: cost 19 inf + 106822
501.968 * * [simplify]: Extracting #10: cost 3 inf + 124153
502.020 * * [simplify]: Extracting #11: cost 0 inf + 127991
502.076 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (* (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* U U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* U U) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))))) -2)
502.076 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (* (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* U U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* U U) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))))) -2) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
502.077 * * * * [progress]: [ 472 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
502.078 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
502.079 * * [simplify]: iters left: 6 (53 enodes)
502.113 * * [simplify]: iters left: 5 (272 enodes)
502.226 * * [simplify]: Extracting #0: cost 1 inf + 0
502.226 * * [simplify]: Extracting #1: cost 30 inf + 0
502.227 * * [simplify]: Extracting #2: cost 59 inf + 1
502.227 * * [simplify]: Extracting #3: cost 69 inf + 2
502.227 * * [simplify]: Extracting #4: cost 103 inf + 45
502.229 * * [simplify]: Extracting #5: cost 241 inf + 561
502.232 * * [simplify]: Extracting #6: cost 318 inf + 6288
502.254 * * [simplify]: Extracting #7: cost 142 inf + 63521
502.277 * * [simplify]: Extracting #8: cost 58 inf + 99475
502.328 * * [simplify]: Extracting #9: cost 24 inf + 122983
502.393 * * [simplify]: Extracting #10: cost 19 inf + 126056
502.453 * * [simplify]: Extracting #11: cost 5 inf + 141564
502.532 * * [simplify]: Extracting #12: cost 0 inf + 148732
502.623 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) U) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))))
502.623 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) U) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
502.624 * * * * [progress]: [ 473 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
502.624 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
502.625 * * [simplify]: iters left: 6 (46 enodes)
502.639 * * [simplify]: iters left: 5 (231 enodes)
502.707 * * [simplify]: Extracting #0: cost 1 inf + 0
502.707 * * [simplify]: Extracting #1: cost 30 inf + 0
502.707 * * [simplify]: Extracting #2: cost 59 inf + 1
502.708 * * [simplify]: Extracting #3: cost 69 inf + 2
502.708 * * [simplify]: Extracting #4: cost 90 inf + 45
502.709 * * [simplify]: Extracting #5: cost 200 inf + 580
502.712 * * [simplify]: Extracting #6: cost 283 inf + 4552
502.728 * * [simplify]: Extracting #7: cost 111 inf + 61549
502.752 * * [simplify]: Extracting #8: cost 30 inf + 98853
502.790 * * [simplify]: Extracting #9: cost 10 inf + 119211
502.844 * * [simplify]: Extracting #10: cost 0 inf + 130509
502.903 * * [simplify]: Extracting #11: cost 0 inf + 130349
502.951 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (* U U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))) -2) (sqrt (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (cos (/ K 2))) (* 2 J))))))
502.951 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (* U U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))) -2) (sqrt (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (cos (/ K 2))) (* 2 J)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
502.952 * * * * [progress]: [ 474 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
502.952 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
502.953 * * [simplify]: iters left: 6 (52 enodes)
502.985 * * [simplify]: iters left: 5 (273 enodes)
503.085 * * [simplify]: Extracting #0: cost 1 inf + 0
503.085 * * [simplify]: Extracting #1: cost 30 inf + 0
503.085 * * [simplify]: Extracting #2: cost 59 inf + 1
503.085 * * [simplify]: Extracting #3: cost 69 inf + 2
503.086 * * [simplify]: Extracting #4: cost 103 inf + 45
503.087 * * [simplify]: Extracting #5: cost 247 inf + 764
503.090 * * [simplify]: Extracting #6: cost 338 inf + 3829
503.106 * * [simplify]: Extracting #7: cost 199 inf + 47894
503.152 * * [simplify]: Extracting #8: cost 56 inf + 102286
503.191 * * [simplify]: Extracting #9: cost 24 inf + 124533
503.261 * * [simplify]: Extracting #10: cost 0 inf + 153224
503.354 * * [simplify]: Extracting #11: cost 0 inf + 150080
503.443 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (* (+ 1 (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) U))))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (+ (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* U U))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* U U)))))))
503.443 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (* (+ 1 (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) U))))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (+ (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* U U))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* U U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
503.445 * * * * [progress]: [ 475 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
503.445 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
503.446 * * [simplify]: iters left: 6 (45 enodes)
503.462 * * [simplify]: iters left: 5 (232 enodes)
503.545 * * [simplify]: Extracting #0: cost 1 inf + 0
503.545 * * [simplify]: Extracting #1: cost 30 inf + 0
503.545 * * [simplify]: Extracting #2: cost 59 inf + 1
503.545 * * [simplify]: Extracting #3: cost 69 inf + 2
503.545 * * [simplify]: Extracting #4: cost 92 inf + 45
503.546 * * [simplify]: Extracting #5: cost 207 inf + 622
503.547 * * [simplify]: Extracting #6: cost 286 inf + 5477
503.558 * * [simplify]: Extracting #7: cost 117 inf + 63051
503.596 * * [simplify]: Extracting #8: cost 31 inf + 100789
503.633 * * [simplify]: Extracting #9: cost 10 inf + 121141
503.686 * * [simplify]: Extracting #10: cost 0 inf + 131821
503.739 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (cos (/ K 2)) (* (* 2 J) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* U (* (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))))))))
503.739 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (cos (/ K 2)) (* (* 2 J) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* U (* (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
503.740 * * * * [progress]: [ 476 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
503.741 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3))))))
503.742 * * [simplify]: iters left: 6 (47 enodes)
503.773 * * [simplify]: iters left: 5 (236 enodes)
503.881 * * [simplify]: Extracting #0: cost 1 inf + 0
503.881 * * [simplify]: Extracting #1: cost 30 inf + 0
503.882 * * [simplify]: Extracting #2: cost 59 inf + 1
503.882 * * [simplify]: Extracting #3: cost 69 inf + 2
503.882 * * [simplify]: Extracting #4: cost 96 inf + 45
503.882 * * [simplify]: Extracting #5: cost 234 inf + 377
503.884 * * [simplify]: Extracting #6: cost 283 inf + 7285
503.895 * * [simplify]: Extracting #7: cost 108 inf + 64983
503.918 * * [simplify]: Extracting #8: cost 30 inf + 102808
503.960 * * [simplify]: Extracting #9: cost 7 inf + 126047
504.030 * * [simplify]: Extracting #10: cost 0 inf + 133422
504.084 * * [simplify]: Extracting #11: cost 0 inf + 132505
504.146 * [simplify]: Simplified to (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1))) (sqrt (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* U U)))))))
504.146 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1))) (sqrt (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* U U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
504.148 * * * * [progress]: [ 477 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
504.148 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
504.148 * * [simplify]: iters left: 6 (46 enodes)
504.162 * * [simplify]: iters left: 5 (237 enodes)
504.265 * * [simplify]: Extracting #0: cost 1 inf + 0
504.265 * * [simplify]: Extracting #1: cost 30 inf + 0
504.266 * * [simplify]: Extracting #2: cost 59 inf + 1
504.266 * * [simplify]: Extracting #3: cost 69 inf + 2
504.267 * * [simplify]: Extracting #4: cost 96 inf + 45
504.268 * * [simplify]: Extracting #5: cost 210 inf + 478
504.271 * * [simplify]: Extracting #6: cost 264 inf + 6463
504.285 * * [simplify]: Extracting #7: cost 103 inf + 58029
504.308 * * [simplify]: Extracting #8: cost 36 inf + 83494
504.336 * * [simplify]: Extracting #9: cost 12 inf + 105311
504.408 * * [simplify]: Extracting #10: cost 0 inf + 119179
504.469 * [simplify]: Simplified to (/ (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (/ (* (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) U)))) (sqrt (sqrt (- (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (* (* (cos (/ K 2)) J) -2)))
504.469 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (/ (* (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) U)))) (sqrt (sqrt (- (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (* (* (cos (/ K 2)) J) -2))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
504.470 * * * * [progress]: [ 478 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
504.470 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
504.471 * * [simplify]: iters left: 6 (51 enodes)
504.491 * * [simplify]: iters left: 5 (259 enodes)
504.581 * * [simplify]: Extracting #0: cost 1 inf + 0
504.581 * * [simplify]: Extracting #1: cost 30 inf + 0
504.581 * * [simplify]: Extracting #2: cost 59 inf + 1
504.581 * * [simplify]: Extracting #3: cost 68 inf + 44
504.581 * * [simplify]: Extracting #4: cost 100 inf + 45
504.582 * * [simplify]: Extracting #5: cost 229 inf + 723
504.586 * * [simplify]: Extracting #6: cost 309 inf + 6368
504.601 * * [simplify]: Extracting #7: cost 167 inf + 60379
504.629 * * [simplify]: Extracting #8: cost 69 inf + 103386
504.687 * * [simplify]: Extracting #9: cost 5 inf + 151243
504.755 * * [simplify]: Extracting #10: cost 0 inf + 154702
504.818 * * [simplify]: Extracting #11: cost 0 inf + 153687
504.909 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (* (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))) (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (* U U) (* U U)) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))))
504.909 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (* (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))) (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (* U U) (* U U)) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
504.911 * * * * [progress]: [ 479 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
504.911 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
504.911 * * [simplify]: iters left: 6 (53 enodes)
504.929 * * [simplify]: iters left: 5 (269 enodes)
505.051 * * [simplify]: Extracting #0: cost 1 inf + 0
505.051 * * [simplify]: Extracting #1: cost 30 inf + 0
505.051 * * [simplify]: Extracting #2: cost 59 inf + 1
505.052 * * [simplify]: Extracting #3: cost 68 inf + 44
505.052 * * [simplify]: Extracting #4: cost 102 inf + 45
505.052 * * [simplify]: Extracting #5: cost 237 inf + 519
505.054 * * [simplify]: Extracting #6: cost 324 inf + 5277
505.070 * * [simplify]: Extracting #7: cost 131 inf + 71648
505.122 * * [simplify]: Extracting #8: cost 38 inf + 111341
505.171 * * [simplify]: Extracting #9: cost 19 inf + 126472
505.256 * * [simplify]: Extracting #10: cost 6 inf + 141127
505.326 * * [simplify]: Extracting #11: cost 0 inf + 149480
505.397 * [simplify]: Simplified to (/ (/ (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))))) (* (* (cos (/ K 2)) J) -2))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (+ (* (* U U) (* U U)) (* (* (* U U) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* U U) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))
505.397 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))))) (* (* (cos (/ K 2)) J) -2))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (+ (* (* U U) (* U U)) (* (* (* U U) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* U U) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
505.399 * * * * [progress]: [ 480 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
505.399 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
505.400 * * [simplify]: iters left: 6 (51 enodes)
505.432 * * [simplify]: iters left: 5 (258 enodes)
505.560 * * [simplify]: Extracting #0: cost 1 inf + 0
505.560 * * [simplify]: Extracting #1: cost 30 inf + 0
505.561 * * [simplify]: Extracting #2: cost 59 inf + 1
505.561 * * [simplify]: Extracting #3: cost 68 inf + 44
505.561 * * [simplify]: Extracting #4: cost 100 inf + 45
505.562 * * [simplify]: Extracting #5: cost 226 inf + 377
505.566 * * [simplify]: Extracting #6: cost 284 inf + 7053
505.591 * * [simplify]: Extracting #7: cost 117 inf + 66764
505.650 * * [simplify]: Extracting #8: cost 33 inf + 107383
505.692 * * [simplify]: Extracting #9: cost 20 inf + 120032
505.777 * * [simplify]: Extracting #10: cost 5 inf + 138138
505.873 * * [simplify]: Extracting #11: cost 0 inf + 145065
505.935 * [simplify]: Simplified to (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (/ (/ (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (* U U) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U)) (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1))))) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U)) (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1))))))) (* (cos (/ K 2)) J)))
505.935 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (/ (/ (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (* U U) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U)) (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1))))) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U)) (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1))))))) (* (cos (/ K 2)) J))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
505.936 * * * * [progress]: [ 481 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
505.937 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
505.937 * * [simplify]: iters left: 6 (53 enodes)
505.955 * * [simplify]: iters left: 5 (269 enodes)
506.053 * * [simplify]: Extracting #0: cost 1 inf + 0
506.053 * * [simplify]: Extracting #1: cost 30 inf + 0
506.053 * * [simplify]: Extracting #2: cost 59 inf + 1
506.054 * * [simplify]: Extracting #3: cost 69 inf + 2
506.054 * * [simplify]: Extracting #4: cost 102 inf + 45
506.055 * * [simplify]: Extracting #5: cost 236 inf + 662
506.056 * * [simplify]: Extracting #6: cost 316 inf + 5470
506.065 * * [simplify]: Extracting #7: cost 180 inf + 50702
506.093 * * [simplify]: Extracting #8: cost 87 inf + 88575
506.149 * * [simplify]: Extracting #9: cost 39 inf + 110861
506.192 * * [simplify]: Extracting #10: cost 22 inf + 126358
506.242 * * [simplify]: Extracting #11: cost 18 inf + 130379
506.297 * * [simplify]: Extracting #12: cost 3 inf + 149804
506.372 * * [simplify]: Extracting #13: cost 0 inf + 154361
506.466 * [simplify]: Simplified to (/ (/ (* (* (sqrt (+ 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (cos (/ K 2))) (* J -2)) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* 2 J) (cos (/ K 2)))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* U (* U U))) (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))))) (sqrt (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (* (* (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U))))))
506.466 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (sqrt (+ 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (cos (/ K 2))) (* J -2)) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* 2 J) (cos (/ K 2)))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* U (* U U))) (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))))) (sqrt (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (* (* (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
506.468 * * * * [progress]: [ 482 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
506.469 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
506.470 * * [simplify]: iters left: 6 (51 enodes)
506.486 * * [simplify]: iters left: 5 (259 enodes)
506.570 * * [simplify]: Extracting #0: cost 1 inf + 0
506.570 * * [simplify]: Extracting #1: cost 30 inf + 0
506.571 * * [simplify]: Extracting #2: cost 59 inf + 1
506.571 * * [simplify]: Extracting #3: cost 68 inf + 44
506.572 * * [simplify]: Extracting #4: cost 100 inf + 45
506.573 * * [simplify]: Extracting #5: cost 226 inf + 478
506.576 * * [simplify]: Extracting #6: cost 294 inf + 5922
506.601 * * [simplify]: Extracting #7: cost 118 inf + 68733
506.657 * * [simplify]: Extracting #8: cost 31 inf + 108885
506.697 * * [simplify]: Extracting #9: cost 9 inf + 131444
506.779 * * [simplify]: Extracting #10: cost 0 inf + 143155
506.841 * [simplify]: Simplified to (* (/ (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* U U)))))))
506.841 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* U U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
506.842 * * * * [progress]: [ 483 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
506.842 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
506.843 * * [simplify]: iters left: 6 (53 enodes)
506.862 * * [simplify]: iters left: 5 (269 enodes)
506.983 * * [simplify]: Extracting #0: cost 1 inf + 0
506.984 * * [simplify]: Extracting #1: cost 30 inf + 0
506.984 * * [simplify]: Extracting #2: cost 59 inf + 1
506.984 * * [simplify]: Extracting #3: cost 69 inf + 2
506.985 * * [simplify]: Extracting #4: cost 102 inf + 45
506.986 * * [simplify]: Extracting #5: cost 239 inf + 662
506.989 * * [simplify]: Extracting #6: cost 318 inf + 4924
507.005 * * [simplify]: Extracting #7: cost 175 inf + 50651
507.041 * * [simplify]: Extracting #8: cost 79 inf + 91492
507.078 * * [simplify]: Extracting #9: cost 35 inf + 111530
507.131 * * [simplify]: Extracting #10: cost 17 inf + 129240
507.180 * * [simplify]: Extracting #11: cost 4 inf + 145253
507.230 * * [simplify]: Extracting #12: cost 0 inf + 150277
507.282 * * [simplify]: Extracting #13: cost 0 inf + 149797
507.377 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)))))) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) U) (* (* U U) (/ (/ U 2) (* (cos (/ K 2)) J))))))))
507.377 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)))))) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) U) (* (* U U) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
507.379 * * * * [progress]: [ 484 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
507.380 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
507.381 * * [simplify]: iters left: 6 (51 enodes)
507.407 * * [simplify]: iters left: 5 (260 enodes)
507.506 * * [simplify]: Extracting #0: cost 1 inf + 0
507.506 * * [simplify]: Extracting #1: cost 30 inf + 0
507.507 * * [simplify]: Extracting #2: cost 59 inf + 1
507.507 * * [simplify]: Extracting #3: cost 68 inf + 44
507.508 * * [simplify]: Extracting #4: cost 102 inf + 45
507.509 * * [simplify]: Extracting #5: cost 242 inf + 580
507.512 * * [simplify]: Extracting #6: cost 311 inf + 6729
507.530 * * [simplify]: Extracting #7: cost 164 inf + 59823
507.556 * * [simplify]: Extracting #8: cost 81 inf + 93189
507.589 * * [simplify]: Extracting #9: cost 38 inf + 112190
507.668 * * [simplify]: Extracting #10: cost 7 inf + 145736
507.743 * * [simplify]: Extracting #11: cost 0 inf + 152230
507.804 * * [simplify]: Extracting #12: cost 0 inf + 151768
507.881 * [simplify]: Simplified to (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (* U U) U)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))
507.881 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (* U U) U)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
507.883 * * * * [progress]: [ 485 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
507.883 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
507.883 * * [simplify]: iters left: 6 (53 enodes)
507.901 * * [simplify]: iters left: 5 (270 enodes)
507.986 * * [simplify]: Extracting #0: cost 1 inf + 0
507.986 * * [simplify]: Extracting #1: cost 30 inf + 0
507.986 * * [simplify]: Extracting #2: cost 59 inf + 1
507.987 * * [simplify]: Extracting #3: cost 68 inf + 44
507.987 * * [simplify]: Extracting #4: cost 100 inf + 45
507.988 * * [simplify]: Extracting #5: cost 243 inf + 519
507.990 * * [simplify]: Extracting #6: cost 310 inf + 8200
508.000 * * [simplify]: Extracting #7: cost 162 inf + 55196
508.023 * * [simplify]: Extracting #8: cost 81 inf + 87559
508.056 * * [simplify]: Extracting #9: cost 26 inf + 119845
508.113 * * [simplify]: Extracting #10: cost 18 inf + 127046
508.199 * * [simplify]: Extracting #11: cost 8 inf + 138223
508.268 * * [simplify]: Extracting #12: cost 0 inf + 149148
508.335 * [simplify]: Simplified to (/ (/ (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))))) (* (* (cos (/ K 2)) J) -2))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* U (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))
508.336 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))))) (* (* (cos (/ K 2)) J) -2))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* U (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
508.337 * * * * [progress]: [ 486 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
508.338 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
508.339 * * [simplify]: iters left: 6 (48 enodes)
508.365 * * [simplify]: iters left: 5 (235 enodes)
508.436 * * [simplify]: Extracting #0: cost 1 inf + 0
508.436 * * [simplify]: Extracting #1: cost 24 inf + 0
508.437 * * [simplify]: Extracting #2: cost 51 inf + 1
508.437 * * [simplify]: Extracting #3: cost 60 inf + 2
508.437 * * [simplify]: Extracting #4: cost 132 inf + 45
508.438 * * [simplify]: Extracting #5: cost 279 inf + 848
508.440 * * [simplify]: Extracting #6: cost 252 inf + 8713
508.449 * * [simplify]: Extracting #7: cost 121 inf + 50957
508.468 * * [simplify]: Extracting #8: cost 58 inf + 78160
508.518 * * [simplify]: Extracting #9: cost 28 inf + 96788
508.579 * * [simplify]: Extracting #10: cost 11 inf + 111980
508.627 * * [simplify]: Extracting #11: cost 0 inf + 122063
508.688 * * [simplify]: Extracting #12: cost 0 inf + 120303
508.743 * [simplify]: Simplified to (/ (* (* -2 (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (cos (/ K 2)) J)) (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* U U) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))
508.744 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* -2 (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (cos (/ K 2)) J)) (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* U U) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
508.745 * * * * [progress]: [ 487 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
508.746 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
508.746 * * [simplify]: iters left: 6 (51 enodes)
508.779 * * [simplify]: iters left: 5 (260 enodes)
508.874 * * [simplify]: Extracting #0: cost 1 inf + 0
508.874 * * [simplify]: Extracting #1: cost 30 inf + 0
508.874 * * [simplify]: Extracting #2: cost 59 inf + 1
508.875 * * [simplify]: Extracting #3: cost 68 inf + 44
508.875 * * [simplify]: Extracting #4: cost 107 inf + 45
508.876 * * [simplify]: Extracting #5: cost 269 inf + 478
508.880 * * [simplify]: Extracting #6: cost 329 inf + 6628
508.894 * * [simplify]: Extracting #7: cost 197 inf + 49445
508.921 * * [simplify]: Extracting #8: cost 49 inf + 110626
508.993 * * [simplify]: Extracting #9: cost 8 inf + 143666
509.083 * * [simplify]: Extracting #10: cost 0 inf + 153591
509.156 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)))))) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))))
509.156 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)))))) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
509.157 * * * * [progress]: [ 488 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
509.158 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
509.158 * * [simplify]: iters left: 6 (48 enodes)
509.183 * * [simplify]: iters left: 5 (237 enodes)
509.272 * * [simplify]: Extracting #0: cost 1 inf + 0
509.272 * * [simplify]: Extracting #1: cost 24 inf + 0
509.272 * * [simplify]: Extracting #2: cost 51 inf + 1
509.273 * * [simplify]: Extracting #3: cost 59 inf + 44
509.273 * * [simplify]: Extracting #4: cost 125 inf + 45
509.275 * * [simplify]: Extracting #5: cost 269 inf + 480
509.278 * * [simplify]: Extracting #6: cost 248 inf + 7929
509.293 * * [simplify]: Extracting #7: cost 122 inf + 48628
509.315 * * [simplify]: Extracting #8: cost 43 inf + 82307
509.350 * * [simplify]: Extracting #9: cost 22 inf + 94748
509.406 * * [simplify]: Extracting #10: cost 1 inf + 115712
509.475 * * [simplify]: Extracting #11: cost 0 inf + 116738
509.547 * [simplify]: Simplified to (/ (sqrt (+ 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (/ (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U)) (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)) (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))))) (* (* (cos (/ K 2)) J) -2)))
509.547 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (/ (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U)) (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)) (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))))) (* (* (cos (/ K 2)) J) -2))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
509.549 * * * * [progress]: [ 489 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
509.549 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
509.550 * * [simplify]: iters left: 6 (51 enodes)
509.582 * * [simplify]: iters left: 5 (261 enodes)
509.666 * * [simplify]: Extracting #0: cost 1 inf + 0
509.666 * * [simplify]: Extracting #1: cost 30 inf + 0
509.666 * * [simplify]: Extracting #2: cost 59 inf + 1
509.667 * * [simplify]: Extracting #3: cost 69 inf + 2
509.667 * * [simplify]: Extracting #4: cost 107 inf + 45
509.668 * * [simplify]: Extracting #5: cost 253 inf + 580
509.672 * * [simplify]: Extracting #6: cost 307 inf + 6683
509.686 * * [simplify]: Extracting #7: cost 171 inf + 55355
509.708 * * [simplify]: Extracting #8: cost 93 inf + 92764
509.776 * * [simplify]: Extracting #9: cost 22 inf + 132627
509.875 * * [simplify]: Extracting #10: cost 5 inf + 146505
509.978 * * [simplify]: Extracting #11: cost 0 inf + 153035
510.050 * [simplify]: Simplified to (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (* (/ U (* 2 (cos (/ K 2)))) (/ U J)) (* (/ U (* 2 (cos (/ K 2)))) (/ U J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* (/ U (* 2 (cos (/ K 2)))) (/ U J)) (* (/ U (* 2 (cos (/ K 2)))) (/ U J))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) U)) U)))))
510.051 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (* (/ U (* 2 (cos (/ K 2)))) (/ U J)) (* (/ U (* 2 (cos (/ K 2)))) (/ U J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* (/ U (* 2 (cos (/ K 2)))) (/ U J)) (* (/ U (* 2 (cos (/ K 2)))) (/ U J))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) U)) U))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
510.053 * * * * [progress]: [ 490 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
510.053 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
510.054 * * [simplify]: iters left: 6 (51 enodes)
510.088 * * [simplify]: iters left: 5 (260 enodes)
510.192 * * [simplify]: Extracting #0: cost 1 inf + 0
510.193 * * [simplify]: Extracting #1: cost 30 inf + 0
510.193 * * [simplify]: Extracting #2: cost 59 inf + 1
510.193 * * [simplify]: Extracting #3: cost 68 inf + 44
510.194 * * [simplify]: Extracting #4: cost 102 inf + 45
510.195 * * [simplify]: Extracting #5: cost 238 inf + 580
510.198 * * [simplify]: Extracting #6: cost 305 inf + 5882
510.215 * * [simplify]: Extracting #7: cost 171 inf + 51893
510.258 * * [simplify]: Extracting #8: cost 58 inf + 103952
510.296 * * [simplify]: Extracting #9: cost 31 inf + 118510
510.334 * * [simplify]: Extracting #10: cost 20 inf + 130894
510.398 * * [simplify]: Extracting #11: cost 0 inf + 156955
510.462 * * [simplify]: Extracting #12: cost 0 inf + 152995
510.513 * [simplify]: Simplified to (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (* 2 J) (cos (/ K 2))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))))) (* (* (* U U) (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U)))))) (sqrt (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U)) (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1))))))
510.513 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (* 2 J) (cos (/ K 2))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))))) (* (* (* U U) (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U)))))) (sqrt (sqrt (+ (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U)) (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
510.514 * * * * [progress]: [ 491 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
510.514 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
510.515 * * [simplify]: iters left: 6 (53 enodes)
510.533 * * [simplify]: iters left: 5 (270 enodes)
510.640 * * [simplify]: Extracting #0: cost 1 inf + 0
510.640 * * [simplify]: Extracting #1: cost 30 inf + 0
510.640 * * [simplify]: Extracting #2: cost 59 inf + 1
510.641 * * [simplify]: Extracting #3: cost 69 inf + 2
510.641 * * [simplify]: Extracting #4: cost 100 inf + 45
510.642 * * [simplify]: Extracting #5: cost 242 inf + 519
510.646 * * [simplify]: Extracting #6: cost 311 inf + 7712
510.665 * * [simplify]: Extracting #7: cost 165 inf + 54080
510.690 * * [simplify]: Extracting #8: cost 83 inf + 87607
510.729 * * [simplify]: Extracting #9: cost 39 inf + 110777
510.816 * * [simplify]: Extracting #10: cost 11 inf + 139448
510.894 * * [simplify]: Extracting #11: cost 0 inf + 153771
510.983 * * [simplify]: Extracting #12: cost 0 inf + 153131
511.065 * [simplify]: Simplified to (/ (/ (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* 2 (* (cos (/ K 2)) J))) (* (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) U) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U))))) (* (* (cos (/ K 2)) J) -2))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* U U) (/ (/ U 2) (* (cos (/ K 2)) J)))) U)))))
511.065 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* 2 (* (cos (/ K 2)) J))) (* (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) U) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U))))) (* (* (cos (/ K 2)) J) -2))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* U U) (/ (/ U 2) (* (cos (/ K 2)) J)))) U))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
511.066 * * * * [progress]: [ 492 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
511.066 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
511.067 * * [simplify]: iters left: 6 (43 enodes)
511.080 * * [simplify]: iters left: 5 (213 enodes)
511.135 * * [simplify]: Extracting #0: cost 1 inf + 0
511.135 * * [simplify]: Extracting #1: cost 24 inf + 0
511.135 * * [simplify]: Extracting #2: cost 51 inf + 1
511.135 * * [simplify]: Extracting #3: cost 60 inf + 2
511.135 * * [simplify]: Extracting #4: cost 126 inf + 45
511.136 * * [simplify]: Extracting #5: cost 260 inf + 581
511.138 * * [simplify]: Extracting #6: cost 244 inf + 7474
511.149 * * [simplify]: Extracting #7: cost 82 inf + 58243
511.172 * * [simplify]: Extracting #8: cost 26 inf + 84737
511.220 * * [simplify]: Extracting #9: cost 14 inf + 95604
511.262 * * [simplify]: Extracting #10: cost 0 inf + 108723
511.315 * [simplify]: Simplified to (* (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (cos (/ K 2)) J)) (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))))) -2)
511.315 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (cos (/ K 2)) J)) (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))))) -2) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
511.316 * * * * [progress]: [ 493 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
511.316 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
511.316 * * [simplify]: iters left: 6 (50 enodes)
511.332 * * [simplify]: iters left: 5 (253 enodes)
511.432 * * [simplify]: Extracting #0: cost 1 inf + 0
511.432 * * [simplify]: Extracting #1: cost 30 inf + 0
511.432 * * [simplify]: Extracting #2: cost 59 inf + 1
511.433 * * [simplify]: Extracting #3: cost 69 inf + 2
511.433 * * [simplify]: Extracting #4: cost 99 inf + 45
511.434 * * [simplify]: Extracting #5: cost 222 inf + 335
511.438 * * [simplify]: Extracting #6: cost 295 inf + 7241
511.461 * * [simplify]: Extracting #7: cost 138 inf + 60902
511.505 * * [simplify]: Extracting #8: cost 25 inf + 119115
511.577 * * [simplify]: Extracting #9: cost 2 inf + 141242
511.652 * * [simplify]: Extracting #10: cost 0 inf + 142945
511.718 * * [simplify]: Extracting #11: cost 0 inf + 142906
511.768 * [simplify]: Simplified to (/ (/ (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (/ (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))))) (* (* (cos (/ K 2)) J) -2))) (sqrt (sqrt (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))
511.768 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (/ (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))))) (* (* (cos (/ K 2)) J) -2))) (sqrt (sqrt (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
511.769 * * * * [progress]: [ 494 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
511.770 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
511.770 * * [simplify]: iters left: 6 (48 enodes)
511.803 * * [simplify]: iters left: 5 (233 enodes)
511.884 * * [simplify]: Extracting #0: cost 1 inf + 0
511.884 * * [simplify]: Extracting #1: cost 24 inf + 0
511.884 * * [simplify]: Extracting #2: cost 51 inf + 1
511.884 * * [simplify]: Extracting #3: cost 59 inf + 44
511.884 * * [simplify]: Extracting #4: cost 129 inf + 45
511.885 * * [simplify]: Extracting #5: cost 274 inf + 663
511.887 * * [simplify]: Extracting #6: cost 243 inf + 8972
511.897 * * [simplify]: Extracting #7: cost 125 inf + 49992
511.924 * * [simplify]: Extracting #8: cost 48 inf + 83672
511.949 * * [simplify]: Extracting #9: cost 20 inf + 100440
511.994 * * [simplify]: Extracting #10: cost 2 inf + 118942
512.053 * * [simplify]: Extracting #11: cost 0 inf + 120874
512.112 * [simplify]: Simplified to (/ (* (* (cos (/ K 2)) (* J -2)) (sqrt (+ 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) (sqrt (+ (* (* (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1) U) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) U)) (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))))))
512.112 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (cos (/ K 2)) (* J -2)) (sqrt (+ 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) (sqrt (+ (* (* (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1) U) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) U)) (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
512.114 * * * * [progress]: [ 495 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
512.114 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
512.115 * * [simplify]: iters left: 6 (51 enodes)
512.148 * * [simplify]: iters left: 5 (258 enodes)
512.254 * * [simplify]: Extracting #0: cost 1 inf + 0
512.255 * * [simplify]: Extracting #1: cost 30 inf + 0
512.255 * * [simplify]: Extracting #2: cost 59 inf + 1
512.255 * * [simplify]: Extracting #3: cost 68 inf + 44
512.256 * * [simplify]: Extracting #4: cost 107 inf + 45
512.257 * * [simplify]: Extracting #5: cost 264 inf + 479
512.260 * * [simplify]: Extracting #6: cost 320 inf + 5906
512.290 * * [simplify]: Extracting #7: cost 140 inf + 69724
512.350 * * [simplify]: Extracting #8: cost 40 inf + 113299
512.408 * * [simplify]: Extracting #9: cost 22 inf + 128833
512.475 * * [simplify]: Extracting #10: cost 5 inf + 146270
512.542 * * [simplify]: Extracting #11: cost 0 inf + 152557
512.621 * [simplify]: Simplified to (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (* U U) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))) (/ -2 (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (* (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))))))))) (sqrt (+ 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))
512.621 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (* U U) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))) (/ -2 (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (* (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))))))))) (sqrt (+ 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
512.623 * * * * [progress]: [ 496 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
512.623 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
512.624 * * [simplify]: iters left: 6 (49 enodes)
512.655 * * [simplify]: iters left: 5 (249 enodes)
512.761 * * [simplify]: Extracting #0: cost 1 inf + 0
512.761 * * [simplify]: Extracting #1: cost 24 inf + 0
512.762 * * [simplify]: Extracting #2: cost 51 inf + 1
512.762 * * [simplify]: Extracting #3: cost 59 inf + 2
512.762 * * [simplify]: Extracting #4: cost 87 inf + 45
512.763 * * [simplify]: Extracting #5: cost 189 inf + 907
512.767 * * [simplify]: Extracting #6: cost 260 inf + 5760
512.782 * * [simplify]: Extracting #7: cost 131 inf + 51023
512.826 * * [simplify]: Extracting #8: cost 30 inf + 105999
512.878 * * [simplify]: Extracting #9: cost 2 inf + 124185
512.928 * * [simplify]: Extracting #10: cost 0 inf + 122141
513.002 * * [simplify]: Extracting #11: cost 0 inf + 121559
513.079 * [simplify]: Simplified to (* (/ (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) (* (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (* U U) (+ (* (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (* U U) (+ (* (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) -2)
513.079 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) (* (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (* U U) (+ (* (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (* U U) (+ (* (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) -2) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
513.081 * * * * [progress]: [ 497 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
513.082 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
513.083 * * [simplify]: iters left: 6 (52 enodes)
513.115 * * [simplify]: iters left: 5 (264 enodes)
513.231 * * [simplify]: Extracting #0: cost 1 inf + 0
513.231 * * [simplify]: Extracting #1: cost 30 inf + 0
513.231 * * [simplify]: Extracting #2: cost 59 inf + 1
513.232 * * [simplify]: Extracting #3: cost 68 inf + 44
513.232 * * [simplify]: Extracting #4: cost 107 inf + 45
513.233 * * [simplify]: Extracting #5: cost 256 inf + 723
513.234 * * [simplify]: Extracting #6: cost 308 inf + 5768
513.243 * * [simplify]: Extracting #7: cost 162 inf + 53808
513.275 * * [simplify]: Extracting #8: cost 74 inf + 89533
513.329 * * [simplify]: Extracting #9: cost 36 inf + 112205
513.401 * * [simplify]: Extracting #10: cost 14 inf + 134246
513.467 * * [simplify]: Extracting #11: cost 3 inf + 146448
513.518 * * [simplify]: Extracting #12: cost 0 inf + 150604
513.591 * [simplify]: Simplified to (* (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* 2 (* (cos (/ K 2)) J))) (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U)) (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U)) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U)))))))))
513.592 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* 2 (* (cos (/ K 2)) J))) (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U)) (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U)) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
513.593 * * * * [progress]: [ 498 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
513.594 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
513.595 * * [simplify]: iters left: 6 (49 enodes)
513.627 * * [simplify]: iters left: 5 (249 enodes)
513.718 * * [simplify]: Extracting #0: cost 1 inf + 0
513.718 * * [simplify]: Extracting #1: cost 30 inf + 0
513.718 * * [simplify]: Extracting #2: cost 59 inf + 1
513.718 * * [simplify]: Extracting #3: cost 68 inf + 44
513.719 * * [simplify]: Extracting #4: cost 99 inf + 45
513.719 * * [simplify]: Extracting #5: cost 215 inf + 723
513.721 * * [simplify]: Extracting #6: cost 281 inf + 6984
513.732 * * [simplify]: Extracting #7: cost 162 inf + 47574
513.754 * * [simplify]: Extracting #8: cost 62 inf + 87447
513.815 * * [simplify]: Extracting #9: cost 26 inf + 113243
513.897 * * [simplify]: Extracting #10: cost 3 inf + 136525
513.963 * * [simplify]: Extracting #11: cost 0 inf + 140125
514.037 * [simplify]: Simplified to (/ (* (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))))
514.037 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
514.039 * * * * [progress]: [ 499 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
514.039 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
514.040 * * [simplify]: iters left: 6 (51 enodes)
514.066 * * [simplify]: iters left: 5 (260 enodes)
514.183 * * [simplify]: Extracting #0: cost 1 inf + 0
514.183 * * [simplify]: Extracting #1: cost 30 inf + 0
514.183 * * [simplify]: Extracting #2: cost 59 inf + 1
514.184 * * [simplify]: Extracting #3: cost 69 inf + 2
514.184 * * [simplify]: Extracting #4: cost 98 inf + 45
514.186 * * [simplify]: Extracting #5: cost 225 inf + 520
514.189 * * [simplify]: Extracting #6: cost 302 inf + 5536
514.204 * * [simplify]: Extracting #7: cost 150 inf + 57736
514.232 * * [simplify]: Extracting #8: cost 67 inf + 92217
514.271 * * [simplify]: Extracting #9: cost 31 inf + 113914
514.332 * * [simplify]: Extracting #10: cost 4 inf + 142763
514.425 * * [simplify]: Extracting #11: cost 0 inf + 147427
514.502 * [simplify]: Simplified to (* (/ (* (sqrt (+ 1 (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)))) (* 2 (* (cos (/ K 2)) J))) (* (+ 1 (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (* U (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))))))))) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)))))) (* U (* (* U (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (+ (+ (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) 1) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))))))))))
514.502 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ 1 (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)))) (* 2 (* (cos (/ K 2)) J))) (* (+ 1 (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (* U (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))))))))) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)))))) (* U (* (* U (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (+ (+ (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) 1) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
514.504 * * * * [progress]: [ 500 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
514.505 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
514.506 * * [simplify]: iters left: 6 (49 enodes)
514.537 * * [simplify]: iters left: 5 (251 enodes)
514.649 * * [simplify]: Extracting #0: cost 1 inf + 0
514.649 * * [simplify]: Extracting #1: cost 30 inf + 0
514.649 * * [simplify]: Extracting #2: cost 59 inf + 1
514.649 * * [simplify]: Extracting #3: cost 69 inf + 2
514.649 * * [simplify]: Extracting #4: cost 99 inf + 45
514.650 * * [simplify]: Extracting #5: cost 209 inf + 478
514.652 * * [simplify]: Extracting #6: cost 274 inf + 6587
514.670 * * [simplify]: Extracting #7: cost 110 inf + 64440
514.723 * * [simplify]: Extracting #8: cost 34 inf + 100032
514.766 * * [simplify]: Extracting #9: cost 17 inf + 115993
514.848 * * [simplify]: Extracting #10: cost 3 inf + 130969
514.922 * * [simplify]: Extracting #11: cost 0 inf + 134411
515.022 * * [simplify]: Extracting #12: cost 0 inf + 134291
515.090 * [simplify]: Simplified to (/ (/ (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (/ (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (+ (* (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))) (* (* (cos (/ K 2)) J) -2))) (sqrt (sqrt (+ (+ (* (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))) (* (* (* 2 (cos (/ K 2))) J) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))
515.090 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (/ (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (+ (* (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))) (* (* (cos (/ K 2)) J) -2))) (sqrt (sqrt (+ (+ (* (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))) (* (* (* 2 (cos (/ K 2))) J) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
515.091 * * * * [progress]: [ 501 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
515.091 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
515.092 * * [simplify]: iters left: 6 (51 enodes)
515.118 * * [simplify]: iters left: 5 (261 enodes)
515.225 * * [simplify]: Extracting #0: cost 1 inf + 0
515.225 * * [simplify]: Extracting #1: cost 30 inf + 0
515.225 * * [simplify]: Extracting #2: cost 59 inf + 1
515.225 * * [simplify]: Extracting #3: cost 69 inf + 2
515.225 * * [simplify]: Extracting #4: cost 100 inf + 45
515.226 * * [simplify]: Extracting #5: cost 222 inf + 580
515.228 * * [simplify]: Extracting #6: cost 289 inf + 6307
515.239 * * [simplify]: Extracting #7: cost 125 inf + 61041
515.283 * * [simplify]: Extracting #8: cost 43 inf + 95751
515.348 * * [simplify]: Extracting #9: cost 22 inf + 112846
515.438 * * [simplify]: Extracting #10: cost 0 inf + 136648
515.529 * * [simplify]: Extracting #11: cost 0 inf + 136568
515.587 * [simplify]: Simplified to (/ (/ (* (* (cos (/ K 2)) J) (* (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) -2)) (sqrt (sqrt (+ (* (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* 2 (* (cos (/ K 2)) J))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (+ (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))
515.587 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (cos (/ K 2)) J) (* (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) -2)) (sqrt (sqrt (+ (* (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* 2 (* (cos (/ K 2)) J))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (+ (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
515.588 * * * * [progress]: [ 502 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
515.588 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
515.589 * * [simplify]: iters left: 6 (49 enodes)
515.605 * * [simplify]: iters left: 5 (237 enodes)
515.701 * * [simplify]: Extracting #0: cost 1 inf + 0
515.701 * * [simplify]: Extracting #1: cost 24 inf + 0
515.702 * * [simplify]: Extracting #2: cost 51 inf + 1
515.702 * * [simplify]: Extracting #3: cost 60 inf + 2
515.702 * * [simplify]: Extracting #4: cost 128 inf + 45
515.704 * * [simplify]: Extracting #5: cost 284 inf + 336
515.708 * * [simplify]: Extracting #6: cost 254 inf + 8464
515.722 * * [simplify]: Extracting #7: cost 132 inf + 49781
515.758 * * [simplify]: Extracting #8: cost 51 inf + 82598
515.806 * * [simplify]: Extracting #9: cost 27 inf + 93219
515.864 * * [simplify]: Extracting #10: cost 14 inf + 105019
515.915 * * [simplify]: Extracting #11: cost 0 inf + 118179
515.990 * * [simplify]: Extracting #12: cost 0 inf + 117619
516.035 * [simplify]: Simplified to (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (+ (* (+ (* (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* U U)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))
516.035 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (+ (* (+ (* (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* U U)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
516.036 * * * * [progress]: [ 503 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
516.037 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
516.038 * * [simplify]: iters left: 6 (52 enodes)
516.064 * * [simplify]: iters left: 5 (262 enodes)
516.173 * * [simplify]: Extracting #0: cost 1 inf + 0
516.173 * * [simplify]: Extracting #1: cost 30 inf + 0
516.173 * * [simplify]: Extracting #2: cost 59 inf + 1
516.174 * * [simplify]: Extracting #3: cost 69 inf + 2
516.174 * * [simplify]: Extracting #4: cost 107 inf + 45
516.175 * * [simplify]: Extracting #5: cost 261 inf + 479
516.176 * * [simplify]: Extracting #6: cost 312 inf + 4932
516.184 * * [simplify]: Extracting #7: cost 190 inf + 47929
516.212 * * [simplify]: Extracting #8: cost 74 inf + 98463
516.248 * * [simplify]: Extracting #9: cost 32 inf + 124555
516.292 * * [simplify]: Extracting #10: cost 16 inf + 138524
516.378 * * [simplify]: Extracting #11: cost 1 inf + 153803
516.468 * * [simplify]: Extracting #12: cost 0 inf + 154218
516.548 * [simplify]: Simplified to (/ (* (* (sqrt (+ 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* U U))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (* (* (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) U)) U)))))
516.549 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* U U))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (* (* (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) U)) U))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
516.550 * * * * [progress]: [ 504 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
516.550 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
516.550 * * [simplify]: iters left: 6 (49 enodes)
516.578 * * [simplify]: iters left: 5 (251 enodes)
516.686 * * [simplify]: Extracting #0: cost 1 inf + 0
516.686 * * [simplify]: Extracting #1: cost 30 inf + 0
516.686 * * [simplify]: Extracting #2: cost 59 inf + 1
516.687 * * [simplify]: Extracting #3: cost 68 inf + 44
516.687 * * [simplify]: Extracting #4: cost 100 inf + 45
516.688 * * [simplify]: Extracting #5: cost 218 inf + 335
516.692 * * [simplify]: Extracting #6: cost 289 inf + 7221
516.708 * * [simplify]: Extracting #7: cost 168 inf + 51257
516.748 * * [simplify]: Extracting #8: cost 73 inf + 89838
516.793 * * [simplify]: Extracting #9: cost 39 inf + 103761
516.852 * * [simplify]: Extracting #10: cost 17 inf + 128002
516.918 * * [simplify]: Extracting #11: cost 0 inf + 146949
516.999 * * [simplify]: Extracting #12: cost 0 inf + 142322
517.069 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* 2 (cos (/ K 2))) J)) (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)))))) (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (* (* 2 (cos (/ K 2))) J) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))))
517.069 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* 2 (cos (/ K 2))) J)) (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)))))) (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (+ (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (* (* 2 (cos (/ K 2))) J) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
517.070 * * * * [progress]: [ 505 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
517.070 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
517.071 * * [simplify]: iters left: 6 (51 enodes)
517.102 * * [simplify]: iters left: 5 (261 enodes)
517.193 * * [simplify]: Extracting #0: cost 1 inf + 0
517.193 * * [simplify]: Extracting #1: cost 30 inf + 0
517.193 * * [simplify]: Extracting #2: cost 59 inf + 1
517.193 * * [simplify]: Extracting #3: cost 69 inf + 2
517.194 * * [simplify]: Extracting #4: cost 100 inf + 45
517.194 * * [simplify]: Extracting #5: cost 221 inf + 580
517.196 * * [simplify]: Extracting #6: cost 280 inf + 7187
517.204 * * [simplify]: Extracting #7: cost 155 inf + 48668
517.229 * * [simplify]: Extracting #8: cost 58 inf + 88462
517.281 * * [simplify]: Extracting #9: cost 33 inf + 103449
517.345 * * [simplify]: Extracting #10: cost 8 inf + 129127
517.422 * * [simplify]: Extracting #11: cost 0 inf + 138853
517.490 * * [simplify]: Extracting #12: cost 0 inf + 138693
517.553 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (* (* (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1) U) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) U)))))) -2) (sqrt (sqrt (+ (* 2 (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (cos (/ K 2)) J))) (* (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U))))))
517.554 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (* (* (+ (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1) U) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) U)))))) -2) (sqrt (sqrt (+ (* 2 (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (cos (/ K 2)) J))) (* (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
517.555 * * * * [progress]: [ 506 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
517.555 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
517.556 * * [simplify]: iters left: 6 (49 enodes)
517.575 * * [simplify]: iters left: 5 (250 enodes)
517.678 * * [simplify]: Extracting #0: cost 1 inf + 0
517.678 * * [simplify]: Extracting #1: cost 30 inf + 0
517.678 * * [simplify]: Extracting #2: cost 59 inf + 1
517.678 * * [simplify]: Extracting #3: cost 69 inf + 2
517.679 * * [simplify]: Extracting #4: cost 97 inf + 45
517.679 * * [simplify]: Extracting #5: cost 211 inf + 478
517.681 * * [simplify]: Extracting #6: cost 291 inf + 4637
517.700 * * [simplify]: Extracting #7: cost 142 inf + 60887
517.755 * * [simplify]: Extracting #8: cost 35 inf + 118347
517.816 * * [simplify]: Extracting #9: cost 3 inf + 143545
517.881 * * [simplify]: Extracting #10: cost 0 inf + 143869
517.950 * * [simplify]: Extracting #11: cost 0 inf + 142690
518.031 * * [simplify]: Extracting #12: cost 0 inf + 142573
518.109 * [simplify]: Simplified to (/ (* (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (cos (/ K 2)) J))) (* U (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) U) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)))))) (sqrt (sqrt (+ (+ (* (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) U) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) U) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* 2 (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (cos (/ K 2)) J))))))))
518.109 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (cos (/ K 2)) J))) (* U (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) U) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (+ 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)))))) (sqrt (sqrt (+ (+ (* (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) U) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) U) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* 2 (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (cos (/ K 2)) J)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
518.111 * * * * [progress]: [ 507 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
518.112 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
518.113 * * [simplify]: iters left: 6 (51 enodes)
518.149 * * [simplify]: iters left: 5 (260 enodes)
518.253 * * [simplify]: Extracting #0: cost 1 inf + 0
518.254 * * [simplify]: Extracting #1: cost 30 inf + 0
518.254 * * [simplify]: Extracting #2: cost 59 inf + 1
518.254 * * [simplify]: Extracting #3: cost 69 inf + 2
518.255 * * [simplify]: Extracting #4: cost 101 inf + 45
518.256 * * [simplify]: Extracting #5: cost 222 inf + 520
518.259 * * [simplify]: Extracting #6: cost 282 inf + 6280
518.281 * * [simplify]: Extracting #7: cost 139 inf + 55704
518.337 * * [simplify]: Extracting #8: cost 36 inf + 102902
518.383 * * [simplify]: Extracting #9: cost 15 inf + 123836
518.443 * * [simplify]: Extracting #10: cost 3 inf + 136542
518.514 * * [simplify]: Extracting #11: cost 0 inf + 140780
518.590 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ 1 (* (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))))) (* (* (+ (+ (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) 1) U) (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) U)))))) -2) (sqrt (sqrt (+ (* (* 2 (cos (/ K 2))) (* J (- 1 (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)))))) (* (+ 1 (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* U (* (/ (/ (/ U (cos (/ K 2))) J) 2) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)))))))))
518.590 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ 1 (* (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))))) (* (* (+ (+ (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) 1) U) (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) U)))))) -2) (sqrt (sqrt (+ (* (* 2 (cos (/ K 2))) (* J (- 1 (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)))))) (* (+ 1 (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* U (* (/ (/ (/ U (cos (/ K 2))) J) 2) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
518.592 * * * * [progress]: [ 508 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
518.593 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3))))))
518.593 * * [simplify]: iters left: 6 (50 enodes)
518.624 * * [simplify]: iters left: 5 (250 enodes)
518.736 * * [simplify]: Extracting #0: cost 1 inf + 0
518.736 * * [simplify]: Extracting #1: cost 30 inf + 0
518.737 * * [simplify]: Extracting #2: cost 59 inf + 1
518.737 * * [simplify]: Extracting #3: cost 68 inf + 44
518.737 * * [simplify]: Extracting #4: cost 101 inf + 45
518.738 * * [simplify]: Extracting #5: cost 225 inf + 478
518.739 * * [simplify]: Extracting #6: cost 287 inf + 5842
519.185 * * [simplify]: Extracting #7: cost 129 inf + 62155
519.229 * * [simplify]: Extracting #8: cost 24 inf + 116818
519.322 * * [simplify]: Extracting #9: cost 2 inf + 136910
519.391 * * [simplify]: Extracting #10: cost 0 inf + 137354
519.447 * * [simplify]: Extracting #11: cost 0 inf + 137092
519.535 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (+ (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))) -2) (sqrt (sqrt (+ (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))
519.535 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (+ (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))) -2) (sqrt (sqrt (+ (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
519.536 * * * * [progress]: [ 509 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
519.536 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
519.537 * * [simplify]: iters left: 6 (50 enodes)
519.553 * * [simplify]: iters left: 5 (258 enodes)
519.642 * * [simplify]: Extracting #0: cost 1 inf + 0
519.642 * * [simplify]: Extracting #1: cost 30 inf + 0
519.642 * * [simplify]: Extracting #2: cost 59 inf + 1
519.642 * * [simplify]: Extracting #3: cost 69 inf + 2
519.643 * * [simplify]: Extracting #4: cost 98 inf + 45
519.644 * * [simplify]: Extracting #5: cost 213 inf + 479
519.647 * * [simplify]: Extracting #6: cost 269 inf + 5506
519.662 * * [simplify]: Extracting #7: cost 147 inf + 44170
519.697 * * [simplify]: Extracting #8: cost 65 inf + 77931
519.731 * * [simplify]: Extracting #9: cost 36 inf + 92617
519.764 * * [simplify]: Extracting #10: cost 15 inf + 111391
519.825 * * [simplify]: Extracting #11: cost 0 inf + 127734
519.893 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) U) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (/ -2 (sqrt (sqrt (- (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))
519.893 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) U) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (/ -2 (sqrt (sqrt (- (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
519.895 * * * * [progress]: [ 510 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
519.896 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
519.897 * * [simplify]: iters left: 6 (53 enodes)
519.924 * * [simplify]: iters left: 5 (271 enodes)
520.020 * * [simplify]: Extracting #0: cost 1 inf + 0
520.020 * * [simplify]: Extracting #1: cost 30 inf + 0
520.021 * * [simplify]: Extracting #2: cost 59 inf + 1
520.021 * * [simplify]: Extracting #3: cost 68 inf + 44
520.022 * * [simplify]: Extracting #4: cost 102 inf + 45
520.023 * * [simplify]: Extracting #5: cost 236 inf + 519
520.026 * * [simplify]: Extracting #6: cost 320 inf + 5880
520.047 * * [simplify]: Extracting #7: cost 156 inf + 57313
520.086 * * [simplify]: Extracting #8: cost 75 inf + 88983
520.134 * * [simplify]: Extracting #9: cost 33 inf + 112275
520.176 * * [simplify]: Extracting #10: cost 19 inf + 124910
520.230 * * [simplify]: Extracting #11: cost 6 inf + 140244
520.290 * * [simplify]: Extracting #12: cost 0 inf + 148597
520.342 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U U) (* U U)) (* (* (* U U) (* U U)) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))
520.342 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U U) (* U U)) (* (* (* U U) (* U U)) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
520.344 * * * * [progress]: [ 511 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
520.344 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
520.345 * * [simplify]: iters left: 6 (46 enodes)
520.374 * * [simplify]: iters left: 5 (229 enodes)
520.462 * * [simplify]: Extracting #0: cost 1 inf + 0
520.462 * * [simplify]: Extracting #1: cost 30 inf + 0
520.463 * * [simplify]: Extracting #2: cost 59 inf + 1
520.463 * * [simplify]: Extracting #3: cost 69 inf + 2
520.463 * * [simplify]: Extracting #4: cost 94 inf + 45
520.464 * * [simplify]: Extracting #5: cost 209 inf + 377
520.468 * * [simplify]: Extracting #6: cost 290 inf + 6699
520.489 * * [simplify]: Extracting #7: cost 122 inf + 57729
520.529 * * [simplify]: Extracting #8: cost 49 inf + 85970
520.584 * * [simplify]: Extracting #9: cost 22 inf + 109414
520.665 * * [simplify]: Extracting #10: cost 1 inf + 133509
520.726 * * [simplify]: Extracting #11: cost 0 inf + 134615
520.776 * [simplify]: Simplified to (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1))) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (+ (* (* (* U U) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* U U) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* U U) (* U U))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)))))))
520.776 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1))) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (+ (* (* (* U U) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* U U) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* U U) (* U U))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
520.777 * * * * [progress]: [ 512 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
520.778 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
520.778 * * [simplify]: iters left: 6 (53 enodes)
520.801 * * [simplify]: iters left: 5 (271 enodes)
520.913 * * [simplify]: Extracting #0: cost 1 inf + 0
520.913 * * [simplify]: Extracting #1: cost 30 inf + 0
520.914 * * [simplify]: Extracting #2: cost 59 inf + 1
520.914 * * [simplify]: Extracting #3: cost 68 inf + 44
520.915 * * [simplify]: Extracting #4: cost 102 inf + 45
520.916 * * [simplify]: Extracting #5: cost 235 inf + 806
520.919 * * [simplify]: Extracting #6: cost 321 inf + 5225
520.940 * * [simplify]: Extracting #7: cost 161 inf + 55803
520.977 * * [simplify]: Extracting #8: cost 78 inf + 88800
521.016 * * [simplify]: Extracting #9: cost 29 inf + 119626
521.082 * * [simplify]: Extracting #10: cost 3 inf + 145731
521.151 * * [simplify]: Extracting #11: cost 0 inf + 150049
521.217 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* U U) U) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))
521.217 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* U U) U) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
521.219 * * * * [progress]: [ 513 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
521.219 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
521.220 * * [simplify]: iters left: 6 (46 enodes)
521.237 * * [simplify]: iters left: 5 (228 enodes)
521.310 * * [simplify]: Extracting #0: cost 1 inf + 0
521.310 * * [simplify]: Extracting #1: cost 30 inf + 0
521.310 * * [simplify]: Extracting #2: cost 59 inf + 1
521.310 * * [simplify]: Extracting #3: cost 68 inf + 44
521.310 * * [simplify]: Extracting #4: cost 94 inf + 45
521.311 * * [simplify]: Extracting #5: cost 206 inf + 437
521.312 * * [simplify]: Extracting #6: cost 275 inf + 5022
521.322 * * [simplify]: Extracting #7: cost 110 inf + 55874
521.342 * * [simplify]: Extracting #8: cost 49 inf + 80349
521.377 * * [simplify]: Extracting #9: cost 22 inf + 102870
521.441 * * [simplify]: Extracting #10: cost 1 inf + 126809
521.490 * * [simplify]: Extracting #11: cost 0 inf + 128075
521.566 * [simplify]: Simplified to (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (* U U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))))))
521.567 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (* U U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
521.568 * * * * [progress]: [ 514 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
521.569 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
521.570 * * [simplify]: iters left: 6 (53 enodes)
521.603 * * [simplify]: iters left: 5 (271 enodes)
521.736 * * [simplify]: Extracting #0: cost 1 inf + 0
521.736 * * [simplify]: Extracting #1: cost 30 inf + 0
521.736 * * [simplify]: Extracting #2: cost 59 inf + 1
521.736 * * [simplify]: Extracting #3: cost 69 inf + 2
521.736 * * [simplify]: Extracting #4: cost 102 inf + 45
521.737 * * [simplify]: Extracting #5: cost 240 inf + 621
521.738 * * [simplify]: Extracting #6: cost 326 inf + 5000
521.752 * * [simplify]: Extracting #7: cost 165 inf + 56349
521.777 * * [simplify]: Extracting #8: cost 68 inf + 96714
521.836 * * [simplify]: Extracting #9: cost 33 inf + 116832
521.905 * * [simplify]: Extracting #10: cost 7 inf + 144457
521.991 * * [simplify]: Extracting #11: cost 0 inf + 154077
522.060 * [simplify]: Simplified to (/ (* (/ (* (cos (/ K 2)) J) (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))) (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)))) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* U U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))))))
522.061 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (cos (/ K 2)) J) (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))) (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)))) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* U U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
522.062 * * * * [progress]: [ 515 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
522.063 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
522.064 * * [simplify]: iters left: 6 (46 enodes)
522.092 * * [simplify]: iters left: 5 (229 enodes)
522.178 * * [simplify]: Extracting #0: cost 1 inf + 0
522.178 * * [simplify]: Extracting #1: cost 30 inf + 0
522.178 * * [simplify]: Extracting #2: cost 59 inf + 1
522.178 * * [simplify]: Extracting #3: cost 69 inf + 2
522.179 * * [simplify]: Extracting #4: cost 94 inf + 45
522.180 * * [simplify]: Extracting #5: cost 204 inf + 520
522.183 * * [simplify]: Extracting #6: cost 275 inf + 5931
522.204 * * [simplify]: Extracting #7: cost 102 inf + 58902
522.238 * * [simplify]: Extracting #8: cost 54 inf + 77052
522.284 * * [simplify]: Extracting #9: cost 34 inf + 89797
522.330 * * [simplify]: Extracting #10: cost 12 inf + 112040
522.374 * * [simplify]: Extracting #11: cost 0 inf + 125320
522.421 * * [simplify]: Extracting #12: cost 0 inf + 125125
522.496 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) U) (* (* U U) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) U) (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))
522.496 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) U) (* (* U U) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) U) (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
522.498 * * * * [progress]: [ 516 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
522.499 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
522.499 * * [simplify]: iters left: 6 (53 enodes)
522.534 * * [simplify]: iters left: 5 (272 enodes)
522.643 * * [simplify]: Extracting #0: cost 1 inf + 0
522.643 * * [simplify]: Extracting #1: cost 30 inf + 0
522.643 * * [simplify]: Extracting #2: cost 59 inf + 1
522.644 * * [simplify]: Extracting #3: cost 69 inf + 2
522.644 * * [simplify]: Extracting #4: cost 102 inf + 45
522.645 * * [simplify]: Extracting #5: cost 248 inf + 335
522.649 * * [simplify]: Extracting #6: cost 320 inf + 7280
522.667 * * [simplify]: Extracting #7: cost 173 inf + 53245
522.703 * * [simplify]: Extracting #8: cost 59 inf + 99907
522.754 * * [simplify]: Extracting #9: cost 31 inf + 117948
522.836 * * [simplify]: Extracting #10: cost 8 inf + 142135
522.918 * * [simplify]: Extracting #11: cost 0 inf + 153300
522.983 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (+ (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) U) U)))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))))
522.983 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (+ (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) U) U)))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
522.985 * * * * [progress]: [ 517 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
522.985 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
522.986 * * [simplify]: iters left: 6 (46 enodes)
523.015 * * [simplify]: iters left: 5 (231 enodes)
523.121 * * [simplify]: Extracting #0: cost 1 inf + 0
523.121 * * [simplify]: Extracting #1: cost 30 inf + 0
523.122 * * [simplify]: Extracting #2: cost 59 inf + 1
523.122 * * [simplify]: Extracting #3: cost 69 inf + 2
523.122 * * [simplify]: Extracting #4: cost 91 inf + 45
523.122 * * [simplify]: Extracting #5: cost 209 inf + 335
523.124 * * [simplify]: Extracting #6: cost 292 inf + 5121
523.134 * * [simplify]: Extracting #7: cost 112 inf + 58533
523.171 * * [simplify]: Extracting #8: cost 51 inf + 82844
523.229 * * [simplify]: Extracting #9: cost 19 inf + 109986
523.310 * * [simplify]: Extracting #10: cost 0 inf + 130567
523.388 * * [simplify]: Extracting #11: cost 0 inf + 130294
523.465 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* U U) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))))))
523.465 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (* (* (* 2 (cos (/ K 2))) J) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* U U) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
523.466 * * * * [progress]: [ 518 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
523.467 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
523.468 * * [simplify]: iters left: 6 (51 enodes)
523.500 * * [simplify]: iters left: 5 (262 enodes)
523.586 * * [simplify]: Extracting #0: cost 1 inf + 0
523.586 * * [simplify]: Extracting #1: cost 30 inf + 0
523.587 * * [simplify]: Extracting #2: cost 59 inf + 1
523.587 * * [simplify]: Extracting #3: cost 69 inf + 2
523.588 * * [simplify]: Extracting #4: cost 108 inf + 45
523.589 * * [simplify]: Extracting #5: cost 276 inf + 335
523.593 * * [simplify]: Extracting #6: cost 330 inf + 6204
523.612 * * [simplify]: Extracting #7: cost 180 inf + 55456
523.650 * * [simplify]: Extracting #8: cost 64 inf + 103132
523.680 * * [simplify]: Extracting #9: cost 40 inf + 115691
523.728 * * [simplify]: Extracting #10: cost 22 inf + 132348
523.804 * * [simplify]: Extracting #11: cost 2 inf + 154539
523.891 * * [simplify]: Extracting #12: cost 0 inf + 156911
523.989 * [simplify]: Simplified to (/ (/ (* (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) U) (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))
523.989 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) U) (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
523.991 * * * * [progress]: [ 519 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
523.992 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
523.993 * * [simplify]: iters left: 6 (43 enodes)
524.019 * * [simplify]: iters left: 5 (205 enodes)
524.114 * * [simplify]: Extracting #0: cost 1 inf + 0
524.114 * * [simplify]: Extracting #1: cost 24 inf + 0
524.114 * * [simplify]: Extracting #2: cost 51 inf + 1
524.114 * * [simplify]: Extracting #3: cost 59 inf + 44
524.115 * * [simplify]: Extracting #4: cost 120 inf + 45
524.116 * * [simplify]: Extracting #5: cost 250 inf + 704
524.120 * * [simplify]: Extracting #6: cost 215 inf + 9367
524.139 * * [simplify]: Extracting #7: cost 74 inf + 54153
524.171 * * [simplify]: Extracting #8: cost 31 inf + 73505
524.224 * * [simplify]: Extracting #9: cost 3 inf + 97139
524.256 * * [simplify]: Extracting #10: cost 0 inf + 99656
524.284 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* U U)))) -2))
524.285 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* U U)))) -2)) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
524.285 * * * * [progress]: [ 520 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
524.285 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
524.286 * * [simplify]: iters left: 6 (51 enodes)
524.302 * * [simplify]: iters left: 5 (263 enodes)
524.398 * * [simplify]: Extracting #0: cost 1 inf + 0
524.398 * * [simplify]: Extracting #1: cost 30 inf + 0
524.398 * * [simplify]: Extracting #2: cost 59 inf + 1
524.398 * * [simplify]: Extracting #3: cost 69 inf + 2
524.398 * * [simplify]: Extracting #4: cost 102 inf + 45
524.399 * * [simplify]: Extracting #5: cost 228 inf + 335
524.402 * * [simplify]: Extracting #6: cost 298 inf + 6876
524.426 * * [simplify]: Extracting #7: cost 152 inf + 54691
524.463 * * [simplify]: Extracting #8: cost 56 inf + 93877
524.507 * * [simplify]: Extracting #9: cost 24 inf + 115969
524.582 * * [simplify]: Extracting #10: cost 8 inf + 131845
524.635 * * [simplify]: Extracting #11: cost 0 inf + 141862
524.689 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J)) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))))))
524.689 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J)) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
524.690 * * * * [progress]: [ 521 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
524.690 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
524.691 * * [simplify]: iters left: 6 (43 enodes)
524.710 * * [simplify]: iters left: 5 (207 enodes)
524.790 * * [simplify]: Extracting #0: cost 1 inf + 0
524.790 * * [simplify]: Extracting #1: cost 24 inf + 0
524.791 * * [simplify]: Extracting #2: cost 51 inf + 1
524.791 * * [simplify]: Extracting #3: cost 59 inf + 44
524.791 * * [simplify]: Extracting #4: cost 115 inf + 45
524.792 * * [simplify]: Extracting #5: cost 248 inf + 378
524.797 * * [simplify]: Extracting #6: cost 209 inf + 10101
524.816 * * [simplify]: Extracting #7: cost 80 inf + 48069
524.849 * * [simplify]: Extracting #8: cost 30 inf + 71872
524.895 * * [simplify]: Extracting #9: cost 12 inf + 86412
524.931 * * [simplify]: Extracting #10: cost 0 inf + 97677
524.969 * [simplify]: Simplified to (/ (sqrt (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) 1)) (/ (sqrt (+ (* (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) U) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* 2 (* (cos (/ K 2)) J)))))) (* (* (cos (/ K 2)) J) -2)))
524.969 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) 1)) (/ (sqrt (+ (* (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) U) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* 2 (* (cos (/ K 2)) J)))))) (* (* (cos (/ K 2)) J) -2))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
524.971 * * * * [progress]: [ 522 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
524.971 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
524.972 * * [simplify]: iters left: 6 (53 enodes)
525.005 * * [simplify]: iters left: 5 (272 enodes)
525.113 * * [simplify]: Extracting #0: cost 1 inf + 0
525.113 * * [simplify]: Extracting #1: cost 30 inf + 0
525.113 * * [simplify]: Extracting #2: cost 59 inf + 1
525.113 * * [simplify]: Extracting #3: cost 68 inf + 44
525.114 * * [simplify]: Extracting #4: cost 102 inf + 45
525.115 * * [simplify]: Extracting #5: cost 245 inf + 478
525.119 * * [simplify]: Extracting #6: cost 321 inf + 5597
525.138 * * [simplify]: Extracting #7: cost 166 inf + 53769
525.169 * * [simplify]: Extracting #8: cost 67 inf + 94092
525.220 * * [simplify]: Extracting #9: cost 29 inf + 118646
525.282 * * [simplify]: Extracting #10: cost 4 inf + 144163
525.345 * * [simplify]: Extracting #11: cost 0 inf + 148947
525.413 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) U) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) U)))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (+ (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* U (* (* U U) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))
525.413 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) U) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) U)))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (+ (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* U (* (* U U) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
525.414 * * * * [progress]: [ 523 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
525.414 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
525.415 * * [simplify]: iters left: 6 (46 enodes)
525.429 * * [simplify]: iters left: 5 (231 enodes)
525.499 * * [simplify]: Extracting #0: cost 1 inf + 0
525.500 * * [simplify]: Extracting #1: cost 30 inf + 0
525.500 * * [simplify]: Extracting #2: cost 59 inf + 1
525.500 * * [simplify]: Extracting #3: cost 68 inf + 44
525.501 * * [simplify]: Extracting #4: cost 91 inf + 45
525.502 * * [simplify]: Extracting #5: cost 205 inf + 478
525.504 * * [simplify]: Extracting #6: cost 294 inf + 3067
525.525 * * [simplify]: Extracting #7: cost 131 inf + 61724
525.557 * * [simplify]: Extracting #8: cost 41 inf + 92890
525.594 * * [simplify]: Extracting #9: cost 19 inf + 110376
525.669 * * [simplify]: Extracting #10: cost 1 inf + 131400
525.725 * * [simplify]: Extracting #11: cost 0 inf + 132506
525.773 * [simplify]: Simplified to (/ (/ (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (/ (* (/ U (cos (/ K 2))) (/ U (* 2 J))) (* 2 (* (cos (/ K 2)) J))) (* (* (/ U (cos (/ K 2))) (/ U (* 2 J))) (* (/ U (cos (/ K 2))) (/ U (* 2 J))))) (* (* (/ U (cos (/ K 2))) (/ U (* 2 J))) (* (/ U (cos (/ K 2))) (/ U (* 2 J)))))))) (* (* (cos (/ K 2)) J) -2))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (/ (* (/ U (cos (/ K 2))) (/ U (* 2 J))) (* 2 (* (cos (/ K 2)) J))) (/ (* (/ U (cos (/ K 2))) (/ U (* 2 J))) (* 2 (* (cos (/ K 2)) J)))))) (* (* U U) (* (+ (/ (* (/ U (cos (/ K 2))) (/ U (* 2 J))) (* 2 (* (cos (/ K 2)) J))) 1) (* (/ U (cos (/ K 2))) (/ U (* 2 J)))))))))
525.773 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (/ (* (/ U (cos (/ K 2))) (/ U (* 2 J))) (* 2 (* (cos (/ K 2)) J))) (* (* (/ U (cos (/ K 2))) (/ U (* 2 J))) (* (/ U (cos (/ K 2))) (/ U (* 2 J))))) (* (* (/ U (cos (/ K 2))) (/ U (* 2 J))) (* (/ U (cos (/ K 2))) (/ U (* 2 J)))))))) (* (* (cos (/ K 2)) J) -2))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (/ (* (/ U (cos (/ K 2))) (/ U (* 2 J))) (* 2 (* (cos (/ K 2)) J))) (/ (* (/ U (cos (/ K 2))) (/ U (* 2 J))) (* 2 (* (cos (/ K 2)) J)))))) (* (* U U) (* (+ (/ (* (/ U (cos (/ K 2))) (/ U (* 2 J))) (* 2 (* (cos (/ K 2)) J))) 1) (* (/ U (cos (/ K 2))) (/ U (* 2 J))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
525.774 * * * * [progress]: [ 524 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
525.775 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
525.776 * * [simplify]: iters left: 6 (50 enodes)
525.795 * * [simplify]: iters left: 5 (255 enodes)
525.872 * * [simplify]: Extracting #0: cost 1 inf + 0
525.872 * * [simplify]: Extracting #1: cost 30 inf + 0
525.872 * * [simplify]: Extracting #2: cost 59 inf + 1
525.872 * * [simplify]: Extracting #3: cost 69 inf + 2
525.872 * * [simplify]: Extracting #4: cost 102 inf + 45
525.873 * * [simplify]: Extracting #5: cost 227 inf + 580
525.874 * * [simplify]: Extracting #6: cost 311 inf + 4585
525.892 * * [simplify]: Extracting #7: cost 156 inf + 55471
525.919 * * [simplify]: Extracting #8: cost 59 inf + 96333
525.961 * * [simplify]: Extracting #9: cost 22 inf + 124278
526.029 * * [simplify]: Extracting #10: cost 0 inf + 146981
526.094 * * [simplify]: Extracting #11: cost 0 inf + 146511
526.157 * [simplify]: Simplified to (/ (/ (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J)) (* (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) U) (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))))))
526.157 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J)) (* (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) U) (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
526.159 * * * * [progress]: [ 525 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
526.159 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
526.160 * * [simplify]: iters left: 6 (38 enodes)
526.183 * * [simplify]: iters left: 5 (183 enodes)
526.230 * * [simplify]: Extracting #0: cost 1 inf + 0
526.231 * * [simplify]: Extracting #1: cost 24 inf + 0
526.231 * * [simplify]: Extracting #2: cost 51 inf + 1
526.231 * * [simplify]: Extracting #3: cost 59 inf + 44
526.231 * * [simplify]: Extracting #4: cost 114 inf + 45
526.232 * * [simplify]: Extracting #5: cost 240 inf + 562
526.234 * * [simplify]: Extracting #6: cost 198 inf + 10998
526.242 * * [simplify]: Extracting #7: cost 81 inf + 47952
526.272 * * [simplify]: Extracting #8: cost 37 inf + 65272
526.295 * * [simplify]: Extracting #9: cost 25 inf + 72776
526.317 * * [simplify]: Extracting #10: cost 8 inf + 87219
526.355 * * [simplify]: Extracting #11: cost 0 inf + 94121
526.390 * * [simplify]: Extracting #12: cost 0 inf + 93809
526.424 * [simplify]: Simplified to (/ (* (* -2 (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))) (* (cos (/ K 2)) J)) (sqrt (+ (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J)) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) U) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))
526.424 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* -2 (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))) (* (cos (/ K 2)) J)) (sqrt (+ (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J)) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) U) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
526.424 * * * * [progress]: [ 526 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
526.425 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
526.425 * * [simplify]: iters left: 6 (51 enodes)
526.442 * * [simplify]: iters left: 5 (260 enodes)
526.530 * * [simplify]: Extracting #0: cost 1 inf + 0
526.531 * * [simplify]: Extracting #1: cost 30 inf + 0
526.531 * * [simplify]: Extracting #2: cost 59 inf + 1
526.531 * * [simplify]: Extracting #3: cost 69 inf + 2
526.532 * * [simplify]: Extracting #4: cost 103 inf + 45
526.533 * * [simplify]: Extracting #5: cost 254 inf + 478
526.536 * * [simplify]: Extracting #6: cost 313 inf + 6080
526.558 * * [simplify]: Extracting #7: cost 151 inf + 60327
526.592 * * [simplify]: Extracting #8: cost 50 inf + 103618
526.631 * * [simplify]: Extracting #9: cost 16 inf + 131520
526.697 * * [simplify]: Extracting #10: cost 1 inf + 146701
526.768 * * [simplify]: Extracting #11: cost 0 inf + 147687
526.832 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (+ (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))
526.832 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (+ (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
526.833 * * * * [progress]: [ 527 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
526.833 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
526.834 * * [simplify]: iters left: 6 (43 enodes)
526.847 * * [simplify]: iters left: 5 (203 enodes)
526.916 * * [simplify]: Extracting #0: cost 1 inf + 0
526.916 * * [simplify]: Extracting #1: cost 24 inf + 0
526.916 * * [simplify]: Extracting #2: cost 51 inf + 1
526.916 * * [simplify]: Extracting #3: cost 59 inf + 44
526.916 * * [simplify]: Extracting #4: cost 115 inf + 45
526.917 * * [simplify]: Extracting #5: cost 252 inf + 520
526.919 * * [simplify]: Extracting #6: cost 225 inf + 6268
526.930 * * [simplify]: Extracting #7: cost 74 inf + 55094
526.960 * * [simplify]: Extracting #8: cost 28 inf + 75503
526.985 * * [simplify]: Extracting #9: cost 8 inf + 91171
527.032 * * [simplify]: Extracting #10: cost 0 inf + 98815
527.064 * [simplify]: Simplified to (/ (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (/ (/ (sqrt (+ (* (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) (* U U)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))))) -2) (* (cos (/ K 2)) J)))
527.065 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (/ (/ (sqrt (+ (* (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) (* U U)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))))) -2) (* (cos (/ K 2)) J))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
527.065 * * * * [progress]: [ 528 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
527.066 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
527.066 * * [simplify]: iters left: 6 (52 enodes)
527.082 * * [simplify]: iters left: 5 (266 enodes)
527.166 * * [simplify]: Extracting #0: cost 1 inf + 0
527.166 * * [simplify]: Extracting #1: cost 30 inf + 0
527.166 * * [simplify]: Extracting #2: cost 59 inf + 1
527.167 * * [simplify]: Extracting #3: cost 68 inf + 44
527.167 * * [simplify]: Extracting #4: cost 107 inf + 45
527.168 * * [simplify]: Extracting #5: cost 256 inf + 335
527.170 * * [simplify]: Extracting #6: cost 307 inf + 5924
527.180 * * [simplify]: Extracting #7: cost 158 inf + 56082
527.202 * * [simplify]: Extracting #8: cost 64 inf + 93566
527.238 * * [simplify]: Extracting #9: cost 39 inf + 106353
527.276 * * [simplify]: Extracting #10: cost 16 inf + 130221
527.361 * * [simplify]: Extracting #11: cost 1 inf + 146402
527.430 * * [simplify]: Extracting #12: cost 0 inf + 147428
527.527 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) U) (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))
527.527 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) U) (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
527.529 * * * * [progress]: [ 529 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
527.530 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
527.531 * * [simplify]: iters left: 6 (44 enodes)
527.557 * * [simplify]: iters left: 5 (219 enodes)
527.634 * * [simplify]: Extracting #0: cost 1 inf + 0
527.634 * * [simplify]: Extracting #1: cost 24 inf + 0
527.634 * * [simplify]: Extracting #2: cost 51 inf + 1
527.635 * * [simplify]: Extracting #3: cost 59 inf + 2
527.635 * * [simplify]: Extracting #4: cost 81 inf + 45
527.635 * * [simplify]: Extracting #5: cost 180 inf + 622
527.637 * * [simplify]: Extracting #6: cost 238 inf + 4940
527.646 * * [simplify]: Extracting #7: cost 93 inf + 48932
527.663 * * [simplify]: Extracting #8: cost 40 inf + 69770
527.709 * * [simplify]: Extracting #9: cost 9 inf + 94438
527.761 * * [simplify]: Extracting #10: cost 0 inf + 103228
527.801 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* U (* (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1))))))) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* U (* (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1)))))))
527.802 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* U (* (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1))))))) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* U (* (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
527.802 * * * * [progress]: [ 530 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
527.803 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
527.803 * * [simplify]: iters left: 6 (51 enodes)
527.824 * * [simplify]: iters left: 5 (262 enodes)
527.907 * * [simplify]: Extracting #0: cost 1 inf + 0
527.907 * * [simplify]: Extracting #1: cost 30 inf + 0
527.907 * * [simplify]: Extracting #2: cost 59 inf + 1
527.907 * * [simplify]: Extracting #3: cost 68 inf + 44
527.908 * * [simplify]: Extracting #4: cost 100 inf + 45
527.909 * * [simplify]: Extracting #5: cost 222 inf + 478
527.912 * * [simplify]: Extracting #6: cost 305 inf + 6597
527.936 * * [simplify]: Extracting #7: cost 141 inf + 65003
527.972 * * [simplify]: Extracting #8: cost 39 inf + 109046
528.049 * * [simplify]: Extracting #9: cost 12 inf + 134813
528.127 * * [simplify]: Extracting #10: cost 1 inf + 149576
528.225 * * [simplify]: Extracting #11: cost 0 inf + 150681
528.295 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (+ (/ (* (* (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (/ (* U U) (* (* 2 (cos (/ K 2))) J))) (/ (* U U) (* (* 2 (cos (/ K 2))) J))) (* (* 2 (cos (/ K 2))) J)) (* (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (/ (* U U) (* (* 2 (cos (/ K 2))) J)))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (cos (/ K 2))) J)) (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) U) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) U))))))))
528.295 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (+ (/ (* (* (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (/ (* U U) (* (* 2 (cos (/ K 2))) J))) (/ (* U U) (* (* 2 (cos (/ K 2))) J))) (* (* 2 (cos (/ K 2))) J)) (* (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (/ (* U U) (* (* 2 (cos (/ K 2))) J)))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (cos (/ K 2))) J)) (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) U) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
528.296 * * * * [progress]: [ 531 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
528.297 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
528.298 * * [simplify]: iters left: 6 (44 enodes)
528.323 * * [simplify]: iters left: 5 (219 enodes)
528.392 * * [simplify]: Extracting #0: cost 1 inf + 0
528.392 * * [simplify]: Extracting #1: cost 30 inf + 0
528.392 * * [simplify]: Extracting #2: cost 59 inf + 1
528.392 * * [simplify]: Extracting #3: cost 69 inf + 2
528.392 * * [simplify]: Extracting #4: cost 92 inf + 45
528.393 * * [simplify]: Extracting #5: cost 203 inf + 621
528.395 * * [simplify]: Extracting #6: cost 256 inf + 5224
528.403 * * [simplify]: Extracting #7: cost 108 inf + 51092
528.422 * * [simplify]: Extracting #8: cost 37 inf + 82506
528.453 * * [simplify]: Extracting #9: cost 7 inf + 110111
528.493 * * [simplify]: Extracting #10: cost 0 inf + 117730
528.531 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 J) (cos (/ K 2)))) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))))))))
528.531 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 J) (cos (/ K 2)))) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
528.532 * * * * [progress]: [ 532 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
528.532 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
528.533 * * [simplify]: iters left: 6 (51 enodes)
528.549 * * [simplify]: iters left: 5 (263 enodes)
528.681 * * [simplify]: Extracting #0: cost 1 inf + 0
528.681 * * [simplify]: Extracting #1: cost 30 inf + 0
528.681 * * [simplify]: Extracting #2: cost 59 inf + 1
528.681 * * [simplify]: Extracting #3: cost 68 inf + 44
528.682 * * [simplify]: Extracting #4: cost 99 inf + 45
528.683 * * [simplify]: Extracting #5: cost 214 inf + 478
528.686 * * [simplify]: Extracting #6: cost 291 inf + 5866
528.703 * * [simplify]: Extracting #7: cost 142 inf + 55251
528.730 * * [simplify]: Extracting #8: cost 52 inf + 92226
528.785 * * [simplify]: Extracting #9: cost 22 inf + 115740
528.854 * * [simplify]: Extracting #10: cost 2 inf + 137612
528.939 * * [simplify]: Extracting #11: cost 0 inf + 140264
529.006 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (+ (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) U) (* (/ (/ (/ U J) (cos (/ K 2))) 2) U))) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) U) (* (/ (/ (/ U J) (cos (/ K 2))) 2) U))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))))) (* (* 2 (cos (/ K 2))) J)) (+ (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) U)) (* (+ (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) U))))))))
529.007 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (+ (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) U) (* (/ (/ (/ U J) (cos (/ K 2))) 2) U))) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) U) (* (/ (/ (/ U J) (cos (/ K 2))) 2) U))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2))))) (* (* 2 (cos (/ K 2))) J)) (+ (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) U)) (* (+ (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)))) (* (* (/ (/ (/ U J) (cos (/ K 2))) 2) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (/ (/ (/ U J) (cos (/ K 2))) 2) U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
529.008 * * * * [progress]: [ 533 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
529.009 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
529.010 * * [simplify]: iters left: 6 (44 enodes)
529.035 * * [simplify]: iters left: 5 (221 enodes)
529.148 * * [simplify]: Extracting #0: cost 1 inf + 0
529.148 * * [simplify]: Extracting #1: cost 30 inf + 0
529.148 * * [simplify]: Extracting #2: cost 59 inf + 1
529.149 * * [simplify]: Extracting #3: cost 69 inf + 2
529.149 * * [simplify]: Extracting #4: cost 93 inf + 45
529.150 * * [simplify]: Extracting #5: cost 196 inf + 437
529.153 * * [simplify]: Extracting #6: cost 247 inf + 5281
529.171 * * [simplify]: Extracting #7: cost 109 inf + 47631
529.209 * * [simplify]: Extracting #8: cost 38 inf + 80162
529.253 * * [simplify]: Extracting #9: cost 13 inf + 99953
529.291 * * [simplify]: Extracting #10: cost 1 inf + 113541
529.330 * * [simplify]: Extracting #11: cost 0 inf + 114727
529.397 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* 2 (* (cos (/ K 2)) J))) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) U) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) U))))))
529.397 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* 2 (* (cos (/ K 2)) J))) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) U) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
529.399 * * * * [progress]: [ 534 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
529.400 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
529.401 * * [simplify]: iters left: 6 (52 enodes)
529.432 * * [simplify]: iters left: 5 (264 enodes)
529.537 * * [simplify]: Extracting #0: cost 1 inf + 0
529.537 * * [simplify]: Extracting #1: cost 30 inf + 0
529.537 * * [simplify]: Extracting #2: cost 59 inf + 1
529.538 * * [simplify]: Extracting #3: cost 68 inf + 44
529.538 * * [simplify]: Extracting #4: cost 104 inf + 45
529.539 * * [simplify]: Extracting #5: cost 257 inf + 377
529.543 * * [simplify]: Extracting #6: cost 318 inf + 5197
529.567 * * [simplify]: Extracting #7: cost 161 inf + 56399
529.606 * * [simplify]: Extracting #8: cost 59 inf + 99449
529.647 * * [simplify]: Extracting #9: cost 29 inf + 116522
529.736 * * [simplify]: Extracting #10: cost 4 inf + 142922
529.810 * * [simplify]: Extracting #11: cost 0 inf + 147906
529.877 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1))))))
529.877 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
529.878 * * * * [progress]: [ 535 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
529.879 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
529.880 * * [simplify]: iters left: 6 (44 enodes)
529.898 * * [simplify]: iters left: 5 (207 enodes)
529.986 * * [simplify]: Extracting #0: cost 1 inf + 0
529.986 * * [simplify]: Extracting #1: cost 24 inf + 0
529.987 * * [simplify]: Extracting #2: cost 51 inf + 1
529.987 * * [simplify]: Extracting #3: cost 60 inf + 2
529.987 * * [simplify]: Extracting #4: cost 117 inf + 45
529.989 * * [simplify]: Extracting #5: cost 247 inf + 581
529.993 * * [simplify]: Extracting #6: cost 210 inf + 8623
530.005 * * [simplify]: Extracting #7: cost 82 inf + 47033
530.027 * * [simplify]: Extracting #8: cost 26 inf + 77385
530.070 * * [simplify]: Extracting #9: cost 0 inf + 95565
530.119 * * [simplify]: Extracting #10: cost 0 inf + 95445
530.158 * [simplify]: Simplified to (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) 1))) (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))
530.158 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) 1))) (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
530.159 * * * * [progress]: [ 536 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
530.159 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
530.159 * * [simplify]: iters left: 6 (51 enodes)
530.179 * * [simplify]: iters left: 5 (263 enodes)
530.295 * * [simplify]: Extracting #0: cost 1 inf + 0
530.295 * * [simplify]: Extracting #1: cost 30 inf + 0
530.295 * * [simplify]: Extracting #2: cost 59 inf + 1
530.296 * * [simplify]: Extracting #3: cost 68 inf + 44
530.296 * * [simplify]: Extracting #4: cost 99 inf + 45
530.297 * * [simplify]: Extracting #5: cost 219 inf + 335
530.301 * * [simplify]: Extracting #6: cost 287 inf + 7378
530.314 * * [simplify]: Extracting #7: cost 141 inf + 56331
530.349 * * [simplify]: Extracting #8: cost 50 inf + 94482
530.407 * * [simplify]: Extracting #9: cost 15 inf + 121044
530.490 * * [simplify]: Extracting #10: cost 0 inf + 138121
530.555 * * [simplify]: Extracting #11: cost 0 inf + 137887
530.646 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (cos (/ K 2))) J)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (+ (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))
530.646 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (cos (/ K 2))) J)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (+ (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
530.647 * * * * [progress]: [ 537 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
530.647 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
530.647 * * [simplify]: iters left: 6 (44 enodes)
530.662 * * [simplify]: iters left: 5 (221 enodes)
530.753 * * [simplify]: Extracting #0: cost 1 inf + 0
530.753 * * [simplify]: Extracting #1: cost 30 inf + 0
530.753 * * [simplify]: Extracting #2: cost 59 inf + 1
530.753 * * [simplify]: Extracting #3: cost 68 inf + 44
530.753 * * [simplify]: Extracting #4: cost 93 inf + 45
530.754 * * [simplify]: Extracting #5: cost 210 inf + 437
530.755 * * [simplify]: Extracting #6: cost 261 inf + 6200
530.772 * * [simplify]: Extracting #7: cost 79 inf + 71863
530.816 * * [simplify]: Extracting #8: cost 31 inf + 90174
530.876 * * [simplify]: Extracting #9: cost 11 inf + 109440
530.927 * * [simplify]: Extracting #10: cost 2 inf + 120030
530.973 * * [simplify]: Extracting #11: cost 0 inf + 122642
531.035 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (cos (/ K 2)) (* (* 2 J) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))))))))
531.035 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (cos (/ K 2)) (* (* 2 J) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
531.036 * * * * [progress]: [ 538 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
531.036 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
531.037 * * [simplify]: iters left: 6 (51 enodes)
531.052 * * [simplify]: iters left: 5 (262 enodes)
531.139 * * [simplify]: Extracting #0: cost 1 inf + 0
531.139 * * [simplify]: Extracting #1: cost 30 inf + 0
531.140 * * [simplify]: Extracting #2: cost 59 inf + 1
531.140 * * [simplify]: Extracting #3: cost 69 inf + 2
531.140 * * [simplify]: Extracting #4: cost 102 inf + 45
531.141 * * [simplify]: Extracting #5: cost 221 inf + 377
531.145 * * [simplify]: Extracting #6: cost 296 inf + 7329
531.174 * * [simplify]: Extracting #7: cost 132 inf + 64917
531.223 * * [simplify]: Extracting #8: cost 48 inf + 98925
531.295 * * [simplify]: Extracting #9: cost 17 inf + 124431
531.386 * * [simplify]: Extracting #10: cost 1 inf + 143921
531.473 * * [simplify]: Extracting #11: cost 0 inf + 144986
531.523 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (+ (/ (* (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (/ (* U U) (* (* 2 (cos (/ K 2))) J)))) (* (* 2 (cos (/ K 2))) J)) (* (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (/ (* U U) (* (* 2 (cos (/ K 2))) J)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (cos (/ K 2))) J)) (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) U) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) U) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))
531.523 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (+ (/ (* (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (/ (* U U) (* (* 2 (cos (/ K 2))) J)))) (* (* 2 (cos (/ K 2))) J)) (* (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (/ (* U U) (* (* 2 (cos (/ K 2))) J)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (cos (/ K 2))) J)) (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) U) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) U) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
531.524 * * * * [progress]: [ 539 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
531.524 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
531.525 * * [simplify]: iters left: 6 (44 enodes)
531.539 * * [simplify]: iters left: 5 (220 enodes)
531.618 * * [simplify]: Extracting #0: cost 1 inf + 0
531.618 * * [simplify]: Extracting #1: cost 30 inf + 0
531.618 * * [simplify]: Extracting #2: cost 59 inf + 1
531.619 * * [simplify]: Extracting #3: cost 69 inf + 2
531.619 * * [simplify]: Extracting #4: cost 92 inf + 45
531.620 * * [simplify]: Extracting #5: cost 196 inf + 437
531.624 * * [simplify]: Extracting #6: cost 248 inf + 6439
531.644 * * [simplify]: Extracting #7: cost 95 inf + 55366
531.678 * * [simplify]: Extracting #8: cost 34 inf + 83400
531.722 * * [simplify]: Extracting #9: cost 10 inf + 105932
531.782 * * [simplify]: Extracting #10: cost 0 inf + 117188
531.833 * * [simplify]: Extracting #11: cost 0 inf + 117068
531.899 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U)) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U)) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U)))))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* 2 (* (cos (/ K 2)) J))) (* (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U)))))))
531.899 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U)) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U)) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U)))))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* 2 (* (cos (/ K 2)) J))) (* (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
531.901 * * * * [progress]: [ 540 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
531.901 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3))))))
531.902 * * [simplify]: iters left: 6 (46 enodes)
531.932 * * [simplify]: iters left: 5 (226 enodes)
532.002 * * [simplify]: Extracting #0: cost 1 inf + 0
532.002 * * [simplify]: Extracting #1: cost 30 inf + 0
532.002 * * [simplify]: Extracting #2: cost 59 inf + 1
532.002 * * [simplify]: Extracting #3: cost 68 inf + 44
532.002 * * [simplify]: Extracting #4: cost 99 inf + 45
532.003 * * [simplify]: Extracting #5: cost 216 inf + 437
532.004 * * [simplify]: Extracting #6: cost 279 inf + 4265
532.016 * * [simplify]: Extracting #7: cost 117 inf + 56804
532.043 * * [simplify]: Extracting #8: cost 48 inf + 82092
532.070 * * [simplify]: Extracting #9: cost 18 inf + 105476
532.119 * * [simplify]: Extracting #10: cost 0 inf + 124604
532.167 * * [simplify]: Extracting #11: cost 0 inf + 121211
532.225 * [simplify]: Simplified to (/ (/ (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)))))) (* (* (cos (/ K 2)) J) -2))) (sqrt (sqrt (+ (* (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))))))
532.225 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)))))) (* (* (cos (/ K 2)) J) -2))) (sqrt (sqrt (+ (* (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
532.226 * * * * [progress]: [ 541 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
532.227 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
532.227 * * [simplify]: iters left: 6 (45 enodes)
532.241 * * [simplify]: iters left: 5 (213 enodes)
532.307 * * [simplify]: Extracting #0: cost 1 inf + 0
532.307 * * [simplify]: Extracting #1: cost 30 inf + 0
532.307 * * [simplify]: Extracting #2: cost 59 inf + 1
532.308 * * [simplify]: Extracting #3: cost 68 inf + 44
532.308 * * [simplify]: Extracting #4: cost 96 inf + 45
532.308 * * [simplify]: Extracting #5: cost 206 inf + 377
532.310 * * [simplify]: Extracting #6: cost 254 inf + 5673
532.326 * * [simplify]: Extracting #7: cost 93 inf + 56728
532.350 * * [simplify]: Extracting #8: cost 44 inf + 74890
532.376 * * [simplify]: Extracting #9: cost 26 inf + 89785
532.411 * * [simplify]: Extracting #10: cost 13 inf + 100295
532.485 * * [simplify]: Extracting #11: cost 2 inf + 111226
532.547 * * [simplify]: Extracting #12: cost 0 inf + 113522
532.607 * [simplify]: Simplified to (/ (/ (* (* (cos (/ K 2)) J) (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2)) (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))))) (sqrt (sqrt (- (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))
532.607 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (cos (/ K 2)) J) (* (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2)) (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))))) (sqrt (sqrt (- (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
532.608 * * * * [progress]: [ 542 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
532.609 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
532.610 * * [simplify]: iters left: 6 (50 enodes)
532.630 * * [simplify]: iters left: 5 (260 enodes)
532.730 * * [simplify]: Extracting #0: cost 1 inf + 0
532.730 * * [simplify]: Extracting #1: cost 30 inf + 0
532.730 * * [simplify]: Extracting #2: cost 59 inf + 1
532.731 * * [simplify]: Extracting #3: cost 69 inf + 2
532.731 * * [simplify]: Extracting #4: cost 100 inf + 45
532.732 * * [simplify]: Extracting #5: cost 235 inf + 723
532.735 * * [simplify]: Extracting #6: cost 332 inf + 3495
532.752 * * [simplify]: Extracting #7: cost 175 inf + 59062
532.783 * * [simplify]: Extracting #8: cost 49 inf + 109498
532.818 * * [simplify]: Extracting #9: cost 38 inf + 113336
532.863 * * [simplify]: Extracting #10: cost 23 inf + 126718
532.962 * * [simplify]: Extracting #11: cost 4 inf + 146803
533.038 * * [simplify]: Extracting #12: cost 0 inf + 151266
533.118 * [simplify]: Simplified to (/ (/ (* (* (sqrt (+ 1 (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (+ (* (+ (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) (* (* U U) (* U U))) (* (* U U) (* U U))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (- 1 (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* (- 1 (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (+ (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))))))))
533.118 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (sqrt (+ 1 (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (+ (* (+ (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) (* (* U U) (* U U))) (* (* U U) (* U U))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (- 1 (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* (- 1 (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (+ (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
533.120 * * * * [progress]: [ 543 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
533.121 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
533.122 * * [simplify]: iters left: 6 (52 enodes)
533.155 * * [simplify]: iters left: 5 (270 enodes)
533.271 * * [simplify]: Extracting #0: cost 1 inf + 0
533.271 * * [simplify]: Extracting #1: cost 30 inf + 0
533.271 * * [simplify]: Extracting #2: cost 59 inf + 1
533.272 * * [simplify]: Extracting #3: cost 69 inf + 2
533.272 * * [simplify]: Extracting #4: cost 99 inf + 45
533.273 * * [simplify]: Extracting #5: cost 235 inf + 519
533.277 * * [simplify]: Extracting #6: cost 325 inf + 5226
533.296 * * [simplify]: Extracting #7: cost 175 inf + 55397
533.331 * * [simplify]: Extracting #8: cost 56 inf + 105473
533.393 * * [simplify]: Extracting #9: cost 20 inf + 134295
533.461 * * [simplify]: Extracting #10: cost 1 inf + 156261
533.522 * * [simplify]: Extracting #11: cost 0 inf + 155687
533.610 * * [simplify]: Extracting #12: cost 0 inf + 155607
533.681 * [simplify]: Simplified to (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (+ 1 (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))))) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* (* U U) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* U U) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* U U) (* U U)))))))))
533.681 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (+ 1 (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))))) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* (* U U) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* U U) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* U U) (* U U))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
533.683 * * * * [progress]: [ 544 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
533.683 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
533.684 * * [simplify]: iters left: 6 (51 enodes)
533.709 * * [simplify]: iters left: 5 (259 enodes)
533.794 * * [simplify]: Extracting #0: cost 1 inf + 0
533.795 * * [simplify]: Extracting #1: cost 30 inf + 0
533.795 * * [simplify]: Extracting #2: cost 59 inf + 1
533.795 * * [simplify]: Extracting #3: cost 68 inf + 44
533.795 * * [simplify]: Extracting #4: cost 99 inf + 45
533.796 * * [simplify]: Extracting #5: cost 219 inf + 377
533.797 * * [simplify]: Extracting #6: cost 292 inf + 5075
533.817 * * [simplify]: Extracting #7: cost 111 inf + 69407
533.856 * * [simplify]: Extracting #8: cost 31 inf + 107941
533.914 * * [simplify]: Extracting #9: cost 5 inf + 134764
533.999 * * [simplify]: Extracting #10: cost 0 inf + 141212
534.090 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (+ (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (/ (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* U U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) (* (* U U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))))
534.090 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (+ (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (/ (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* U U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) (* (* U U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
534.092 * * * * [progress]: [ 545 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
534.093 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
534.094 * * [simplify]: iters left: 6 (53 enodes)
534.115 * * [simplify]: iters left: 5 (269 enodes)
534.217 * * [simplify]: Extracting #0: cost 1 inf + 0
534.217 * * [simplify]: Extracting #1: cost 30 inf + 0
534.218 * * [simplify]: Extracting #2: cost 59 inf + 1
534.218 * * [simplify]: Extracting #3: cost 69 inf + 2
534.218 * * [simplify]: Extracting #4: cost 99 inf + 45
534.219 * * [simplify]: Extracting #5: cost 226 inf + 704
534.220 * * [simplify]: Extracting #6: cost 307 inf + 5651
534.232 * * [simplify]: Extracting #7: cost 148 inf + 57521
534.279 * * [simplify]: Extracting #8: cost 47 inf + 99140
534.316 * * [simplify]: Extracting #9: cost 26 inf + 116072
534.404 * * [simplify]: Extracting #10: cost 5 inf + 138968
534.470 * * [simplify]: Extracting #11: cost 0 inf + 144936
534.567 * [simplify]: Simplified to (/ (/ (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* U U)))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))))
534.567 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* U U)))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
534.568 * * * * [progress]: [ 546 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
534.568 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
534.569 * * [simplify]: iters left: 6 (50 enodes)
534.584 * * [simplify]: iters left: 5 (259 enodes)
534.688 * * [simplify]: Extracting #0: cost 1 inf + 0
534.689 * * [simplify]: Extracting #1: cost 30 inf + 0
534.689 * * [simplify]: Extracting #2: cost 59 inf + 1
534.689 * * [simplify]: Extracting #3: cost 69 inf + 2
534.689 * * [simplify]: Extracting #4: cost 100 inf + 45
534.690 * * [simplify]: Extracting #5: cost 232 inf + 377
534.691 * * [simplify]: Extracting #6: cost 302 inf + 5752
534.703 * * [simplify]: Extracting #7: cost 143 inf + 58248
534.746 * * [simplify]: Extracting #8: cost 46 inf + 98458
534.819 * * [simplify]: Extracting #9: cost 25 inf + 115424
534.888 * * [simplify]: Extracting #10: cost 1 inf + 142280
534.965 * * [simplify]: Extracting #11: cost 0 inf + 143666
535.029 * [simplify]: Simplified to (/ -2 (/ (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))) (sqrt (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (* U U) (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))))))) (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J))))
535.029 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ -2 (/ (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))) (sqrt (sqrt (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (* U U) (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))))))) (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
535.030 * * * * [progress]: [ 547 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
535.031 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
535.032 * * [simplify]: iters left: 6 (52 enodes)
535.065 * * [simplify]: iters left: 5 (270 enodes)
535.175 * * [simplify]: Extracting #0: cost 1 inf + 0
535.176 * * [simplify]: Extracting #1: cost 30 inf + 0
535.176 * * [simplify]: Extracting #2: cost 59 inf + 1
535.176 * * [simplify]: Extracting #3: cost 68 inf + 44
535.176 * * [simplify]: Extracting #4: cost 99 inf + 45
535.177 * * [simplify]: Extracting #5: cost 238 inf + 519
535.179 * * [simplify]: Extracting #6: cost 321 inf + 5811
535.193 * * [simplify]: Extracting #7: cost 130 inf + 69761
535.239 * * [simplify]: Extracting #8: cost 48 inf + 103646
535.311 * * [simplify]: Extracting #9: cost 21 inf + 122927
535.394 * * [simplify]: Extracting #10: cost 7 inf + 138287
535.475 * * [simplify]: Extracting #11: cost 0 inf + 148026
535.572 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (+ (+ 1 (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))) (* (* (/ U (* J (* 2 (cos (/ K 2))))) U) (* (/ U (* J (* 2 (cos (/ K 2))))) U))))))) (/ (* (sqrt (+ 1 (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* J (* 2 (cos (/ K 2)))) (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))))) (* (+ (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) 1) (/ (* (* U U) (* U U)) (* J (* 2 (cos (/ K 2)))))))))))
535.572 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (+ (+ 1 (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2))))))) (* (* (/ U (* J (* 2 (cos (/ K 2))))) U) (* (/ U (* J (* 2 (cos (/ K 2))))) U))))))) (/ (* (sqrt (+ 1 (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* J (* 2 (cos (/ K 2)))) (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (- 1 (* (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))))))) (* (+ (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* J (* 2 (cos (/ K 2)))))) 1) (/ (* (* U U) (* U U)) (* J (* 2 (cos (/ K 2))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
535.574 * * * * [progress]: [ 548 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
535.575 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
535.576 * * [simplify]: iters left: 6 (51 enodes)
535.607 * * [simplify]: iters left: 5 (260 enodes)
535.717 * * [simplify]: Extracting #0: cost 1 inf + 0
535.718 * * [simplify]: Extracting #1: cost 30 inf + 0
535.718 * * [simplify]: Extracting #2: cost 59 inf + 1
535.718 * * [simplify]: Extracting #3: cost 68 inf + 44
535.719 * * [simplify]: Extracting #4: cost 99 inf + 45
535.720 * * [simplify]: Extracting #5: cost 231 inf + 377
535.723 * * [simplify]: Extracting #6: cost 294 inf + 7958
535.747 * * [simplify]: Extracting #7: cost 126 inf + 68030
535.800 * * [simplify]: Extracting #8: cost 42 inf + 104675
535.848 * * [simplify]: Extracting #9: cost 16 inf + 129977
535.951 * * [simplify]: Extracting #10: cost 1 inf + 147161
536.046 * * [simplify]: Extracting #11: cost 0 inf + 148107
536.122 * [simplify]: Simplified to (* (/ (sqrt (+ 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (* (* U U) U) (+ 1 (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U))))))))
536.123 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* (* (* U U) U) (+ 1 (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
536.124 * * * * [progress]: [ 549 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
536.124 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
536.124 * * [simplify]: iters left: 6 (53 enodes)
536.143 * * [simplify]: iters left: 5 (270 enodes)
536.234 * * [simplify]: Extracting #0: cost 1 inf + 0
536.234 * * [simplify]: Extracting #1: cost 30 inf + 0
536.235 * * [simplify]: Extracting #2: cost 59 inf + 1
536.235 * * [simplify]: Extracting #3: cost 69 inf + 2
536.235 * * [simplify]: Extracting #4: cost 99 inf + 45
536.236 * * [simplify]: Extracting #5: cost 236 inf + 519
536.237 * * [simplify]: Extracting #6: cost 315 inf + 5631
536.252 * * [simplify]: Extracting #7: cost 155 inf + 61166
536.302 * * [simplify]: Extracting #8: cost 46 inf + 105785
536.365 * * [simplify]: Extracting #9: cost 23 inf + 122181
536.442 * * [simplify]: Extracting #10: cost 5 inf + 140208
536.522 * * [simplify]: Extracting #11: cost 0 inf + 144769
536.599 * [simplify]: Simplified to (/ (/ (* (* (sqrt (+ 1 (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (* (- 1 (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (+ (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) 1)))))) (sqrt (sqrt (+ (* (- 1 (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (+ 1 (+ (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))))) (/ (* U U) (* 2 (* (cos (/ K 2)) J))))))))
536.600 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (sqrt (+ 1 (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (* (- 1 (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (* U U) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (+ (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) 1)))))) (sqrt (sqrt (+ (* (- 1 (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (+ 1 (+ (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
536.600 * * * * [progress]: [ 550 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
536.601 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
536.601 * * [simplify]: iters left: 6 (48 enodes)
536.622 * * [simplify]: iters left: 5 (236 enodes)
536.707 * * [simplify]: Extracting #0: cost 1 inf + 0
536.707 * * [simplify]: Extracting #1: cost 24 inf + 0
536.707 * * [simplify]: Extracting #2: cost 51 inf + 1
536.708 * * [simplify]: Extracting #3: cost 60 inf + 2
536.708 * * [simplify]: Extracting #4: cost 131 inf + 45
536.710 * * [simplify]: Extracting #5: cost 277 inf + 580
536.714 * * [simplify]: Extracting #6: cost 242 inf + 10504
536.744 * * [simplify]: Extracting #7: cost 93 inf + 62122
536.789 * * [simplify]: Extracting #8: cost 27 inf + 94693
536.823 * * [simplify]: Extracting #9: cost 12 inf + 108597
536.899 * * [simplify]: Extracting #10: cost 0 inf + 119304
536.977 * * [simplify]: Extracting #11: cost 0 inf + 117864
537.030 * [simplify]: Simplified to (/ (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))
537.030 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
537.031 * * * * [progress]: [ 551 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
537.032 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
537.033 * * [simplify]: iters left: 6 (51 enodes)
537.052 * * [simplify]: iters left: 5 (260 enodes)
537.165 * * [simplify]: Extracting #0: cost 1 inf + 0
537.165 * * [simplify]: Extracting #1: cost 30 inf + 0
537.165 * * [simplify]: Extracting #2: cost 59 inf + 1
537.166 * * [simplify]: Extracting #3: cost 68 inf + 44
537.166 * * [simplify]: Extracting #4: cost 105 inf + 45
537.167 * * [simplify]: Extracting #5: cost 264 inf + 377
537.172 * * [simplify]: Extracting #6: cost 314 inf + 8414
537.194 * * [simplify]: Extracting #7: cost 168 inf + 57330
537.228 * * [simplify]: Extracting #8: cost 59 inf + 103615
537.278 * * [simplify]: Extracting #9: cost 34 inf + 118043
537.337 * * [simplify]: Extracting #10: cost 6 inf + 146319
537.408 * * [simplify]: Extracting #11: cost 0 inf + 154232
537.492 * [simplify]: Simplified to (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (+ 1 (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)))))) (/ -2 (sqrt (sqrt (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))) (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))))))))) (sqrt (+ 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))
537.492 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (+ 1 (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)))))) (/ -2 (sqrt (sqrt (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))) (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))))))))) (sqrt (+ 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
537.494 * * * * [progress]: [ 552 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
537.494 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
537.495 * * [simplify]: iters left: 6 (48 enodes)
537.524 * * [simplify]: iters left: 5 (233 enodes)
537.601 * * [simplify]: Extracting #0: cost 1 inf + 0
537.601 * * [simplify]: Extracting #1: cost 24 inf + 0
537.601 * * [simplify]: Extracting #2: cost 51 inf + 1
537.602 * * [simplify]: Extracting #3: cost 60 inf + 2
537.602 * * [simplify]: Extracting #4: cost 129 inf + 45
537.604 * * [simplify]: Extracting #5: cost 268 inf + 480
537.608 * * [simplify]: Extracting #6: cost 230 inf + 11158
537.631 * * [simplify]: Extracting #7: cost 93 inf + 57800
537.674 * * [simplify]: Extracting #8: cost 32 inf + 87335
537.733 * * [simplify]: Extracting #9: cost 15 inf + 100700
537.773 * * [simplify]: Extracting #10: cost 0 inf + 114381
537.831 * * [simplify]: Extracting #11: cost 0 inf + 113781
537.905 * [simplify]: Simplified to (* (/ (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J)) (* (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* U U)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) -2)
537.905 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J)) (* (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* U U)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) -2) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
537.907 * * * * [progress]: [ 553 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
537.907 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
537.908 * * [simplify]: iters left: 6 (51 enodes)
537.940 * * [simplify]: iters left: 5 (258 enodes)
538.045 * * [simplify]: Extracting #0: cost 1 inf + 0
538.045 * * [simplify]: Extracting #1: cost 30 inf + 0
538.045 * * [simplify]: Extracting #2: cost 59 inf + 1
538.046 * * [simplify]: Extracting #3: cost 68 inf + 44
538.046 * * [simplify]: Extracting #4: cost 104 inf + 45
538.047 * * [simplify]: Extracting #5: cost 255 inf + 335
538.051 * * [simplify]: Extracting #6: cost 311 inf + 5690
538.072 * * [simplify]: Extracting #7: cost 165 inf + 53958
538.129 * * [simplify]: Extracting #8: cost 42 inf + 105793
538.199 * * [simplify]: Extracting #9: cost 19 inf + 125989
538.293 * * [simplify]: Extracting #10: cost 0 inf + 147009
538.387 * * [simplify]: Extracting #11: cost 0 inf + 146617
538.483 * * [simplify]: Extracting #12: cost 0 inf + 145868
538.588 * [simplify]: Simplified to (/ (* (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (* U U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))))
538.588 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (* U U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
538.591 * * * * [progress]: [ 554 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
538.591 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
538.592 * * [simplify]: iters left: 6 (50 enodes)
538.624 * * [simplify]: iters left: 5 (260 enodes)
538.712 * * [simplify]: Extracting #0: cost 1 inf + 0
538.712 * * [simplify]: Extracting #1: cost 30 inf + 0
538.712 * * [simplify]: Extracting #2: cost 59 inf + 1
538.712 * * [simplify]: Extracting #3: cost 68 inf + 44
538.712 * * [simplify]: Extracting #4: cost 104 inf + 45
538.713 * * [simplify]: Extracting #5: cost 250 inf + 479
538.715 * * [simplify]: Extracting #6: cost 316 inf + 7514
538.745 * * [simplify]: Extracting #7: cost 137 inf + 68480
538.794 * * [simplify]: Extracting #8: cost 52 inf + 103419
538.829 * * [simplify]: Extracting #9: cost 36 inf + 113299
538.901 * * [simplify]: Extracting #10: cost 24 inf + 125405
538.972 * * [simplify]: Extracting #11: cost 4 inf + 146314
539.046 * * [simplify]: Extracting #12: cost 0 inf + 151418
539.136 * [simplify]: Simplified to (/ (* (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))) (sqrt (sqrt (+ (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* U U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) (* (* U U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))))))))
539.137 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))) (sqrt (sqrt (+ (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* U U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) (* (* U U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
539.138 * * * * [progress]: [ 555 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
539.139 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
539.140 * * [simplify]: iters left: 6 (52 enodes)
539.173 * * [simplify]: iters left: 5 (270 enodes)
539.260 * * [simplify]: Extracting #0: cost 1 inf + 0
539.260 * * [simplify]: Extracting #1: cost 30 inf + 0
539.260 * * [simplify]: Extracting #2: cost 59 inf + 1
539.261 * * [simplify]: Extracting #3: cost 69 inf + 2
539.261 * * [simplify]: Extracting #4: cost 99 inf + 45
539.261 * * [simplify]: Extracting #5: cost 242 inf + 662
539.263 * * [simplify]: Extracting #6: cost 311 inf + 8963
539.275 * * [simplify]: Extracting #7: cost 148 inf + 62932
539.314 * * [simplify]: Extracting #8: cost 53 inf + 102054
539.354 * * [simplify]: Extracting #9: cost 39 inf + 109842
539.397 * * [simplify]: Extracting #10: cost 32 inf + 116178
539.468 * * [simplify]: Extracting #11: cost 8 inf + 142033
539.563 * * [simplify]: Extracting #12: cost 0 inf + 152917
539.653 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))))) (/ (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (+ (* (* U U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))))))
539.653 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))))) (/ (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (+ (* (* U U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
539.654 * * * * [progress]: [ 556 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
539.655 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
539.655 * * [simplify]: iters left: 6 (48 enodes)
539.672 * * [simplify]: iters left: 5 (234 enodes)
539.734 * * [simplify]: Extracting #0: cost 1 inf + 0
539.734 * * [simplify]: Extracting #1: cost 24 inf + 0
539.734 * * [simplify]: Extracting #2: cost 51 inf + 1
539.734 * * [simplify]: Extracting #3: cost 60 inf + 2
539.735 * * [simplify]: Extracting #4: cost 129 inf + 45
539.736 * * [simplify]: Extracting #5: cost 273 inf + 479
539.745 * * [simplify]: Extracting #6: cost 235 inf + 10915
539.769 * * [simplify]: Extracting #7: cost 87 inf + 63656
539.814 * * [simplify]: Extracting #8: cost 24 inf + 96215
539.847 * * [simplify]: Extracting #9: cost 11 inf + 108065
539.923 * * [simplify]: Extracting #10: cost 0 inf + 119107
540.001 * [simplify]: Simplified to (/ (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (cos (/ K 2)) J)) (/ (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* U (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) U) (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) -2))
540.001 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (cos (/ K 2)) J)) (/ (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* U (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) U) (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) -2)) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
540.003 * * * * [progress]: [ 557 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
540.003 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
540.003 * * [simplify]: iters left: 6 (51 enodes)
540.020 * * [simplify]: iters left: 5 (258 enodes)
540.123 * * [simplify]: Extracting #0: cost 1 inf + 0
540.124 * * [simplify]: Extracting #1: cost 30 inf + 0
540.124 * * [simplify]: Extracting #2: cost 59 inf + 1
540.124 * * [simplify]: Extracting #3: cost 68 inf + 44
540.124 * * [simplify]: Extracting #4: cost 104 inf + 45
540.125 * * [simplify]: Extracting #5: cost 257 inf + 335
540.127 * * [simplify]: Extracting #6: cost 315 inf + 6137
540.142 * * [simplify]: Extracting #7: cost 164 inf + 58150
540.197 * * [simplify]: Extracting #8: cost 55 inf + 103385
540.263 * * [simplify]: Extracting #9: cost 29 inf + 119195
540.316 * * [simplify]: Extracting #10: cost 20 inf + 128585
540.400 * * [simplify]: Extracting #11: cost 6 inf + 143820
540.462 * * [simplify]: Extracting #12: cost 0 inf + 151056
540.563 * [simplify]: Simplified to (/ (sqrt (+ 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (/ (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))))))) (* (* (cos (/ K 2)) J) -2)))
540.563 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (/ (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))))))) (* (* (cos (/ K 2)) J) -2))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
540.564 * * * * [progress]: [ 558 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
540.565 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
540.565 * * [simplify]: iters left: 6 (42 enodes)
540.579 * * [simplify]: iters left: 5 (214 enodes)
540.656 * * [simplify]: Extracting #0: cost 1 inf + 0
540.657 * * [simplify]: Extracting #1: cost 24 inf + 0
540.657 * * [simplify]: Extracting #2: cost 51 inf + 1
540.657 * * [simplify]: Extracting #3: cost 59 inf + 44
540.658 * * [simplify]: Extracting #4: cost 127 inf + 45
540.659 * * [simplify]: Extracting #5: cost 270 inf + 765
540.663 * * [simplify]: Extracting #6: cost 245 inf + 9006
540.675 * * [simplify]: Extracting #7: cost 91 inf + 56886
540.701 * * [simplify]: Extracting #8: cost 29 inf + 87181
540.733 * * [simplify]: Extracting #9: cost 10 inf + 102183
540.779 * * [simplify]: Extracting #10: cost 0 inf + 111799
540.832 * [simplify]: Simplified to (/ (* (* (cos (/ K 2)) J) (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) -2)) (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))))
540.832 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (cos (/ K 2)) J) (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) -2)) (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
540.833 * * * * [progress]: [ 559 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
540.833 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
540.834 * * [simplify]: iters left: 6 (49 enodes)
540.851 * * [simplify]: iters left: 5 (254 enodes)
540.962 * * [simplify]: Extracting #0: cost 1 inf + 0
540.962 * * [simplify]: Extracting #1: cost 30 inf + 0
540.962 * * [simplify]: Extracting #2: cost 59 inf + 1
540.963 * * [simplify]: Extracting #3: cost 69 inf + 2
540.963 * * [simplify]: Extracting #4: cost 100 inf + 45
540.964 * * [simplify]: Extracting #5: cost 231 inf + 335
540.968 * * [simplify]: Extracting #6: cost 313 inf + 5487
540.994 * * [simplify]: Extracting #7: cost 138 inf + 63597
541.047 * * [simplify]: Extracting #8: cost 49 inf + 102402
541.123 * * [simplify]: Extracting #9: cost 20 inf + 125535
541.225 * * [simplify]: Extracting #10: cost 0 inf + 147407
541.323 * [simplify]: Simplified to (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))))
541.323 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
541.325 * * * * [progress]: [ 560 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
541.325 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
541.326 * * [simplify]: iters left: 6 (48 enodes)
541.346 * * [simplify]: iters left: 5 (249 enodes)
541.417 * * [simplify]: Extracting #0: cost 1 inf + 0
541.417 * * [simplify]: Extracting #1: cost 24 inf + 0
541.417 * * [simplify]: Extracting #2: cost 51 inf + 1
541.417 * * [simplify]: Extracting #3: cost 59 inf + 44
541.418 * * [simplify]: Extracting #4: cost 134 inf + 45
541.420 * * [simplify]: Extracting #5: cost 295 inf + 662
541.429 * * [simplify]: Extracting #6: cost 258 inf + 11682
541.454 * * [simplify]: Extracting #7: cost 90 inf + 69787
541.478 * * [simplify]: Extracting #8: cost 32 inf + 96342
541.521 * * [simplify]: Extracting #9: cost 14 inf + 111680
541.570 * * [simplify]: Extracting #10: cost 0 inf + 124679
541.648 * * [simplify]: Extracting #11: cost 0 inf + 124119
541.694 * [simplify]: Simplified to (* (/ (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U (* U (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) -2)
541.694 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U (* U (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) -2) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
541.695 * * * * [progress]: [ 561 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
541.695 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
541.696 * * [simplify]: iters left: 6 (51 enodes)
541.714 * * [simplify]: iters left: 5 (265 enodes)
541.841 * * [simplify]: Extracting #0: cost 1 inf + 0
541.841 * * [simplify]: Extracting #1: cost 30 inf + 0
541.841 * * [simplify]: Extracting #2: cost 59 inf + 1
541.841 * * [simplify]: Extracting #3: cost 68 inf + 44
541.842 * * [simplify]: Extracting #4: cost 105 inf + 45
541.842 * * [simplify]: Extracting #5: cost 275 inf + 662
541.845 * * [simplify]: Extracting #6: cost 325 inf + 7947
541.859 * * [simplify]: Extracting #7: cost 180 inf + 54522
541.899 * * [simplify]: Extracting #8: cost 56 inf + 108628
541.943 * * [simplify]: Extracting #9: cost 29 inf + 125544
541.997 * * [simplify]: Extracting #10: cost 24 inf + 130831
542.094 * * [simplify]: Extracting #11: cost 3 inf + 154006
542.175 * * [simplify]: Extracting #12: cost 0 inf + 157764
542.261 * [simplify]: Simplified to (/ (* (* (sqrt (+ 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))))))))
542.261 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
542.262 * * * * [progress]: [ 562 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
542.263 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
542.263 * * [simplify]: iters left: 6 (49 enodes)
542.291 * * [simplify]: iters left: 5 (251 enodes)
542.392 * * [simplify]: Extracting #0: cost 1 inf + 0
542.392 * * [simplify]: Extracting #1: cost 30 inf + 0
542.392 * * [simplify]: Extracting #2: cost 59 inf + 1
542.393 * * [simplify]: Extracting #3: cost 69 inf + 2
542.393 * * [simplify]: Extracting #4: cost 102 inf + 45
542.394 * * [simplify]: Extracting #5: cost 224 inf + 335
542.397 * * [simplify]: Extracting #6: cost 294 inf + 4766
542.427 * * [simplify]: Extracting #7: cost 133 inf + 60930
542.461 * * [simplify]: Extracting #8: cost 45 inf + 95931
542.521 * * [simplify]: Extracting #9: cost 20 inf + 119204
542.612 * * [simplify]: Extracting #10: cost 0 inf + 140716
542.676 * [simplify]: Simplified to (/ (* (cos (/ K 2)) J) (/ (/ (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))) (sqrt (sqrt (+ (+ (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))) (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))))) -2) (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))
542.676 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (cos (/ K 2)) J) (/ (/ (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))) (sqrt (sqrt (+ (+ (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))) (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))))) -2) (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
542.678 * * * * [progress]: [ 563 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
542.679 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
542.680 * * [simplify]: iters left: 6 (51 enodes)
542.711 * * [simplify]: iters left: 5 (261 enodes)
542.786 * * [simplify]: Extracting #0: cost 1 inf + 0
542.786 * * [simplify]: Extracting #1: cost 30 inf + 0
542.787 * * [simplify]: Extracting #2: cost 59 inf + 1
542.787 * * [simplify]: Extracting #3: cost 69 inf + 2
542.787 * * [simplify]: Extracting #4: cost 101 inf + 45
542.788 * * [simplify]: Extracting #5: cost 234 inf + 377
542.789 * * [simplify]: Extracting #6: cost 300 inf + 6911
542.814 * * [simplify]: Extracting #7: cost 125 inf + 68222
542.861 * * [simplify]: Extracting #8: cost 31 inf + 109588
542.927 * * [simplify]: Extracting #9: cost 4 inf + 136368
543.018 * * [simplify]: Extracting #10: cost 0 inf + 140684
543.116 * * [simplify]: Extracting #11: cost 0 inf + 140564
543.198 * [simplify]: Simplified to (/ (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (/ (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* J (* 2 (cos (/ K 2))))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))))) (* (cos (/ K 2)) J)))
543.198 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (/ (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* J (* 2 (cos (/ K 2))))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))))) (* (cos (/ K 2)) J))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
543.199 * * * * [progress]: [ 564 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
543.199 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
543.200 * * [simplify]: iters left: 6 (48 enodes)
543.218 * * [simplify]: iters left: 5 (250 enodes)
543.313 * * [simplify]: Extracting #0: cost 1 inf + 0
543.313 * * [simplify]: Extracting #1: cost 30 inf + 0
543.314 * * [simplify]: Extracting #2: cost 59 inf + 1
543.314 * * [simplify]: Extracting #3: cost 68 inf + 44
543.315 * * [simplify]: Extracting #4: cost 100 inf + 45
543.316 * * [simplify]: Extracting #5: cost 224 inf + 437
543.319 * * [simplify]: Extracting #6: cost 303 inf + 4520
543.343 * * [simplify]: Extracting #7: cost 135 inf + 60831
543.395 * * [simplify]: Extracting #8: cost 48 inf + 95986
543.438 * * [simplify]: Extracting #9: cost 24 inf + 114552
543.517 * * [simplify]: Extracting #10: cost 5 inf + 134520
543.611 * * [simplify]: Extracting #11: cost 0 inf + 140927
543.671 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))))) (/ (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))))
543.671 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))))) (/ (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
543.673 * * * * [progress]: [ 565 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
543.674 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
543.675 * * [simplify]: iters left: 6 (50 enodes)
543.699 * * [simplify]: iters left: 5 (261 enodes)
543.795 * * [simplify]: Extracting #0: cost 1 inf + 0
543.795 * * [simplify]: Extracting #1: cost 30 inf + 0
543.795 * * [simplify]: Extracting #2: cost 59 inf + 1
543.795 * * [simplify]: Extracting #3: cost 68 inf + 44
543.796 * * [simplify]: Extracting #4: cost 101 inf + 45
543.797 * * [simplify]: Extracting #5: cost 237 inf + 437
543.801 * * [simplify]: Extracting #6: cost 308 inf + 6527
543.820 * * [simplify]: Extracting #7: cost 135 inf + 64645
543.845 * * [simplify]: Extracting #8: cost 45 inf + 100893
543.899 * * [simplify]: Extracting #9: cost 20 inf + 120652
543.963 * * [simplify]: Extracting #10: cost 0 inf + 141722
544.039 * [simplify]: Simplified to (/ (/ (* (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* 2 (* (cos (/ K 2)) J))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))))
544.040 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* 2 (* (cos (/ K 2)) J))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
544.041 * * * * [progress]: [ 566 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
544.041 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
544.041 * * [simplify]: iters left: 6 (48 enodes)
544.057 * * [simplify]: iters left: 5 (233 enodes)
544.170 * * [simplify]: Extracting #0: cost 1 inf + 0
544.170 * * [simplify]: Extracting #1: cost 24 inf + 0
544.170 * * [simplify]: Extracting #2: cost 51 inf + 1
544.170 * * [simplify]: Extracting #3: cost 60 inf + 2
544.171 * * [simplify]: Extracting #4: cost 139 inf + 45
544.172 * * [simplify]: Extracting #5: cost 284 inf + 480
544.177 * * [simplify]: Extracting #6: cost 256 inf + 9877
544.191 * * [simplify]: Extracting #7: cost 80 inf + 70361
544.229 * * [simplify]: Extracting #8: cost 18 inf + 104604
544.291 * * [simplify]: Extracting #9: cost 0 inf + 119836
544.345 * * [simplify]: Extracting #10: cost 0 inf + 118170
544.398 * [simplify]: Simplified to (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J)) (* U (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) U) (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))))
544.398 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J)) (* U (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) U) (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
544.399 * * * * [progress]: [ 567 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
544.399 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
544.400 * * [simplify]: iters left: 6 (51 enodes)
544.415 * * [simplify]: iters left: 5 (256 enodes)
544.505 * * [simplify]: Extracting #0: cost 1 inf + 0
544.505 * * [simplify]: Extracting #1: cost 30 inf + 0
544.505 * * [simplify]: Extracting #2: cost 59 inf + 1
544.506 * * [simplify]: Extracting #3: cost 68 inf + 44
544.506 * * [simplify]: Extracting #4: cost 100 inf + 45
544.506 * * [simplify]: Extracting #5: cost 233 inf + 377
544.508 * * [simplify]: Extracting #6: cost 312 inf + 4374
544.520 * * [simplify]: Extracting #7: cost 148 inf + 60954
544.546 * * [simplify]: Extracting #8: cost 46 inf + 103032
544.577 * * [simplify]: Extracting #9: cost 35 inf + 109948
544.626 * * [simplify]: Extracting #10: cost 12 inf + 132215
544.684 * * [simplify]: Extracting #11: cost 0 inf + 145122
544.777 * [simplify]: Simplified to (/ (/ (* (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))))
544.777 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
544.779 * * * * [progress]: [ 568 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
544.780 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
544.781 * * [simplify]: iters left: 6 (49 enodes)
544.811 * * [simplify]: iters left: 5 (251 enodes)
544.928 * * [simplify]: Extracting #0: cost 1 inf + 0
544.928 * * [simplify]: Extracting #1: cost 30 inf + 0
544.928 * * [simplify]: Extracting #2: cost 59 inf + 1
544.929 * * [simplify]: Extracting #3: cost 69 inf + 2
544.929 * * [simplify]: Extracting #4: cost 101 inf + 45
544.929 * * [simplify]: Extracting #5: cost 215 inf + 335
544.931 * * [simplify]: Extracting #6: cost 295 inf + 5071
544.942 * * [simplify]: Extracting #7: cost 145 inf + 57745
544.973 * * [simplify]: Extracting #8: cost 47 inf + 96645
545.034 * * [simplify]: Extracting #9: cost 22 inf + 117677
545.102 * * [simplify]: Extracting #10: cost 3 inf + 137083
545.170 * * [simplify]: Extracting #11: cost 0 inf + 140401
545.275 * [simplify]: Simplified to (/ (* (* (cos (/ K 2)) J) (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) -2)) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (sqrt (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* U (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) 2) (* (cos (/ K 2)) J)))))))
545.275 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (cos (/ K 2)) J) (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) -2)) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (sqrt (sqrt (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* U (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) 2) (* (cos (/ K 2)) J))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
545.277 * * * * [progress]: [ 569 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
545.278 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
545.279 * * [simplify]: iters left: 6 (51 enodes)
545.310 * * [simplify]: iters left: 5 (261 enodes)
545.434 * * [simplify]: Extracting #0: cost 1 inf + 0
545.434 * * [simplify]: Extracting #1: cost 30 inf + 0
545.434 * * [simplify]: Extracting #2: cost 59 inf + 1
545.434 * * [simplify]: Extracting #3: cost 68 inf + 44
545.434 * * [simplify]: Extracting #4: cost 99 inf + 45
545.435 * * [simplify]: Extracting #5: cost 217 inf + 377
545.437 * * [simplify]: Extracting #6: cost 275 inf + 7079
545.450 * * [simplify]: Extracting #7: cost 114 inf + 63182
545.496 * * [simplify]: Extracting #8: cost 43 inf + 91981
545.543 * * [simplify]: Extracting #9: cost 28 inf + 105044
545.611 * * [simplify]: Extracting #10: cost 0 inf + 134638
545.675 * [simplify]: Simplified to (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (/ (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* J (* 2 (cos (/ K 2))))) (* (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (+ 1 (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U))))))) (* (* (cos (/ K 2)) J) -2)))
545.675 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (/ (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* J (* 2 (cos (/ K 2))))) (* (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (+ 1 (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) U) (* (/ (/ (/ U 2) (cos (/ K 2))) J) U))))))) (* (* (cos (/ K 2)) J) -2))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
545.676 * * * * [progress]: [ 570 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
545.677 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
545.677 * * [simplify]: iters left: 6 (48 enodes)
545.693 * * [simplify]: iters left: 5 (252 enodes)
545.808 * * [simplify]: Extracting #0: cost 1 inf + 0
545.808 * * [simplify]: Extracting #1: cost 30 inf + 0
545.808 * * [simplify]: Extracting #2: cost 59 inf + 1
545.808 * * [simplify]: Extracting #3: cost 69 inf + 2
545.809 * * [simplify]: Extracting #4: cost 99 inf + 45
545.809 * * [simplify]: Extracting #5: cost 219 inf + 663
545.811 * * [simplify]: Extracting #6: cost 302 inf + 5858
545.823 * * [simplify]: Extracting #7: cost 142 inf + 60378
545.853 * * [simplify]: Extracting #8: cost 46 inf + 99749
545.884 * * [simplify]: Extracting #9: cost 36 inf + 106720
545.941 * * [simplify]: Extracting #10: cost 12 inf + 130571
546.033 * * [simplify]: Extracting #11: cost 0 inf + 143359
546.131 * [simplify]: Simplified to (/ -2 (/ (* (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))))) (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J))))
546.131 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ -2 (/ (* (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))))) (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
546.132 * * * * [progress]: [ 571 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
546.133 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
546.133 * * [simplify]: iters left: 6 (50 enodes)
546.150 * * [simplify]: iters left: 5 (262 enodes)
546.257 * * [simplify]: Extracting #0: cost 1 inf + 0
546.257 * * [simplify]: Extracting #1: cost 30 inf + 0
546.257 * * [simplify]: Extracting #2: cost 59 inf + 1
546.258 * * [simplify]: Extracting #3: cost 69 inf + 2
546.258 * * [simplify]: Extracting #4: cost 98 inf + 45
546.259 * * [simplify]: Extracting #5: cost 227 inf + 580
546.262 * * [simplify]: Extracting #6: cost 297 inf + 5812
546.290 * * [simplify]: Extracting #7: cost 134 inf + 58795
546.342 * * [simplify]: Extracting #8: cost 42 inf + 97726
546.407 * * [simplify]: Extracting #9: cost 20 inf + 115366
546.499 * * [simplify]: Extracting #10: cost 1 inf + 135332
546.582 * * [simplify]: Extracting #11: cost 0 inf + 136478
546.653 * [simplify]: Simplified to (* (/ (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))))
546.653 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
546.655 * * * * [progress]: [ 572 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
546.655 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3))))))
546.656 * * [simplify]: iters left: 6 (49 enodes)
546.687 * * [simplify]: iters left: 5 (251 enodes)
546.786 * * [simplify]: Extracting #0: cost 1 inf + 0
546.786 * * [simplify]: Extracting #1: cost 30 inf + 0
546.787 * * [simplify]: Extracting #2: cost 59 inf + 1
546.787 * * [simplify]: Extracting #3: cost 68 inf + 44
546.787 * * [simplify]: Extracting #4: cost 100 inf + 45
546.789 * * [simplify]: Extracting #5: cost 228 inf + 478
546.792 * * [simplify]: Extracting #6: cost 291 inf + 7307
546.820 * * [simplify]: Extracting #7: cost 116 inf + 71886
546.889 * * [simplify]: Extracting #8: cost 20 inf + 123204
546.979 * * [simplify]: Extracting #9: cost 5 inf + 136698
547.068 * * [simplify]: Extracting #10: cost 0 inf + 142075
547.143 * * [simplify]: Extracting #11: cost 0 inf + 141420
547.209 * [simplify]: Simplified to (/ (* (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* U U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* U U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (sqrt (sqrt (+ (* (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))))
547.209 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* U U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* U U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (sqrt (sqrt (+ (* (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
547.211 * * * * [progress]: [ 573 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
547.211 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
547.211 * * [simplify]: iters left: 6 (49 enodes)
547.227 * * [simplify]: iters left: 5 (244 enodes)
547.289 * * [simplify]: Extracting #0: cost 1 inf + 0
547.289 * * [simplify]: Extracting #1: cost 30 inf + 0
547.289 * * [simplify]: Extracting #2: cost 59 inf + 1
547.289 * * [simplify]: Extracting #3: cost 68 inf + 44
547.290 * * [simplify]: Extracting #4: cost 107 inf + 45
547.290 * * [simplify]: Extracting #5: cost 234 inf + 520
547.292 * * [simplify]: Extracting #6: cost 299 inf + 5031
547.303 * * [simplify]: Extracting #7: cost 131 inf + 59879
547.344 * * [simplify]: Extracting #8: cost 44 inf + 96778
547.396 * * [simplify]: Extracting #9: cost 13 inf + 124404
547.461 * * [simplify]: Extracting #10: cost 0 inf + 137578
547.555 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))))))) (/ (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (* (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (- (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))
547.555 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))))))) (/ (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (* (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (- (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
547.557 * * * * [progress]: [ 574 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
547.557 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
547.558 * * [simplify]: iters left: 6 (52 enodes)
547.592 * * [simplify]: iters left: 5 (272 enodes)
547.674 * * [simplify]: Extracting #0: cost 1 inf + 0
547.674 * * [simplify]: Extracting #1: cost 30 inf + 0
547.674 * * [simplify]: Extracting #2: cost 59 inf + 1
547.674 * * [simplify]: Extracting #3: cost 68 inf + 44
547.675 * * [simplify]: Extracting #4: cost 101 inf + 45
547.676 * * [simplify]: Extracting #5: cost 244 inf + 437
547.684 * * [simplify]: Extracting #6: cost 328 inf + 7158
547.706 * * [simplify]: Extracting #7: cost 160 inf + 60387
547.754 * * [simplify]: Extracting #8: cost 47 inf + 106704
547.817 * * [simplify]: Extracting #9: cost 20 inf + 126981
547.880 * * [simplify]: Extracting #10: cost 2 inf + 148603
547.974 * * [simplify]: Extracting #11: cost 0 inf + 151335
548.052 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))) (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (+ (* (* U U) (* U U)) (* (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* U U) (* U U))))))))))
548.052 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))) (/ -2 (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (+ (* (* U U) (* U U)) (* (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* U U) (* U U)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
548.053 * * * * [progress]: [ 575 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
548.053 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
548.054 * * [simplify]: iters left: 6 (45 enodes)
548.072 * * [simplify]: iters left: 5 (230 enodes)
548.158 * * [simplify]: Extracting #0: cost 1 inf + 0
548.158 * * [simplify]: Extracting #1: cost 30 inf + 0
548.158 * * [simplify]: Extracting #2: cost 59 inf + 1
548.159 * * [simplify]: Extracting #3: cost 68 inf + 44
548.159 * * [simplify]: Extracting #4: cost 91 inf + 45
548.159 * * [simplify]: Extracting #5: cost 212 inf + 437
548.161 * * [simplify]: Extracting #6: cost 310 inf + 1931
548.168 * * [simplify]: Extracting #7: cost 174 inf + 43912
548.196 * * [simplify]: Extracting #8: cost 44 inf + 93328
548.248 * * [simplify]: Extracting #9: cost 16 inf + 117560
548.297 * * [simplify]: Extracting #10: cost 0 inf + 136850
548.347 * * [simplify]: Extracting #11: cost 0 inf + 136690
548.397 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (/ (* (* U U) U) (* (* 2 (cos (/ K 2))) J)) (/ (* (* U U) U) (* (* 2 (cos (/ K 2))) J)))) (* (* (- 1 (* (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)))))) (sqrt (sqrt (+ (* (- 1 (* (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (+ (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) 1) (* (/ (* U (/ (/ U J) (cos (/ K 2)))) 2) (/ (* U (/ (/ U J) (cos (/ K 2)))) 2))))))))
548.397 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (/ (* (* U U) U) (* (* 2 (cos (/ K 2))) J)) (/ (* (* U U) U) (* (* 2 (cos (/ K 2))) J)))) (* (* (- 1 (* (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)))))) (sqrt (sqrt (+ (* (- 1 (* (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (+ (/ (* U U) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) 1) (* (/ (* U (/ (/ U J) (cos (/ K 2)))) 2) (/ (* U (/ (/ U J) (cos (/ K 2)))) 2)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
548.398 * * * * [progress]: [ 576 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
548.398 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
548.399 * * [simplify]: iters left: 6 (53 enodes)
548.432 * * [simplify]: iters left: 5 (271 enodes)
548.545 * * [simplify]: Extracting #0: cost 1 inf + 0
548.545 * * [simplify]: Extracting #1: cost 30 inf + 0
548.545 * * [simplify]: Extracting #2: cost 59 inf + 1
548.546 * * [simplify]: Extracting #3: cost 69 inf + 2
548.546 * * [simplify]: Extracting #4: cost 102 inf + 45
548.547 * * [simplify]: Extracting #5: cost 236 inf + 621
548.549 * * [simplify]: Extracting #6: cost 316 inf + 5529
548.562 * * [simplify]: Extracting #7: cost 133 inf + 67403
548.594 * * [simplify]: Extracting #8: cost 44 inf + 105447
548.650 * * [simplify]: Extracting #9: cost 17 inf + 126889
548.713 * * [simplify]: Extracting #10: cost 3 inf + 141328
548.770 * * [simplify]: Extracting #11: cost 0 inf + 145126
548.851 * [simplify]: Simplified to (/ (/ (* (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (* (* U U) U) (/ (/ U 2) (* (cos (/ K 2)) J))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* U U) U) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (* U U) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))
548.851 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (* (* U U) U) (/ (/ U 2) (* (cos (/ K 2)) J))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* U U) U) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (* U U) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
548.853 * * * * [progress]: [ 577 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
548.853 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
548.854 * * [simplify]: iters left: 6 (46 enodes)
548.883 * * [simplify]: iters left: 5 (229 enodes)
548.969 * * [simplify]: Extracting #0: cost 1 inf + 0
548.969 * * [simplify]: Extracting #1: cost 30 inf + 0
548.969 * * [simplify]: Extracting #2: cost 59 inf + 1
548.970 * * [simplify]: Extracting #3: cost 69 inf + 2
548.970 * * [simplify]: Extracting #4: cost 91 inf + 45
548.970 * * [simplify]: Extracting #5: cost 201 inf + 377
548.972 * * [simplify]: Extracting #6: cost 272 inf + 5138
548.986 * * [simplify]: Extracting #7: cost 110 inf + 54117
549.024 * * [simplify]: Extracting #8: cost 43 inf + 81019
549.062 * * [simplify]: Extracting #9: cost 15 inf + 106051
549.116 * * [simplify]: Extracting #10: cost 0 inf + 122114
549.173 * [simplify]: Simplified to (/ (/ (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))) (* (cos (/ K 2)) (* J -2)))) (sqrt (sqrt (+ (* (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* U U) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))))
549.173 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))) (* (cos (/ K 2)) (* J -2)))) (sqrt (sqrt (+ (* (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* U U) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
549.174 * * * * [progress]: [ 578 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
549.174 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
549.175 * * [simplify]: iters left: 6 (52 enodes)
549.199 * * [simplify]: iters left: 5 (272 enodes)
549.338 * * [simplify]: Extracting #0: cost 1 inf + 0
549.339 * * [simplify]: Extracting #1: cost 30 inf + 0
549.339 * * [simplify]: Extracting #2: cost 59 inf + 1
549.339 * * [simplify]: Extracting #3: cost 69 inf + 2
549.340 * * [simplify]: Extracting #4: cost 101 inf + 45
549.341 * * [simplify]: Extracting #5: cost 247 inf + 335
549.344 * * [simplify]: Extracting #6: cost 332 inf + 5181
549.354 * * [simplify]: Extracting #7: cost 186 inf + 50462
549.386 * * [simplify]: Extracting #8: cost 57 inf + 102750
549.451 * * [simplify]: Extracting #9: cost 31 inf + 118249
549.514 * * [simplify]: Extracting #10: cost 5 inf + 147316
549.568 * * [simplify]: Extracting #11: cost 0 inf + 154564
549.658 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (* (* U U) (* U (/ (/ U (* 2 (cos (/ K 2)))) J))) (+ 1 (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))))))))
549.658 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (* (* U U) (* U (/ (/ U (* 2 (cos (/ K 2)))) J))) (+ 1 (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
549.659 * * * * [progress]: [ 579 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
549.660 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
549.660 * * [simplify]: iters left: 6 (45 enodes)
549.686 * * [simplify]: iters left: 5 (229 enodes)
549.782 * * [simplify]: Extracting #0: cost 1 inf + 0
549.782 * * [simplify]: Extracting #1: cost 30 inf + 0
549.782 * * [simplify]: Extracting #2: cost 59 inf + 1
549.782 * * [simplify]: Extracting #3: cost 69 inf + 2
549.782 * * [simplify]: Extracting #4: cost 91 inf + 45
549.783 * * [simplify]: Extracting #5: cost 210 inf + 520
549.786 * * [simplify]: Extracting #6: cost 287 inf + 3600
549.803 * * [simplify]: Extracting #7: cost 113 inf + 58254
549.824 * * [simplify]: Extracting #8: cost 43 inf + 85502
549.862 * * [simplify]: Extracting #9: cost 19 inf + 106389
549.926 * * [simplify]: Extracting #10: cost 0 inf + 127276
549.986 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (* U U) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))) (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* 2 (cos (/ K 2))) J))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))))
549.986 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (* U U) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))) (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* 2 (cos (/ K 2))) J))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
549.988 * * * * [progress]: [ 580 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
549.988 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
549.989 * * [simplify]: iters left: 6 (53 enodes)
550.020 * * [simplify]: iters left: 5 (273 enodes)
550.104 * * [simplify]: Extracting #0: cost 1 inf + 0
550.104 * * [simplify]: Extracting #1: cost 30 inf + 0
550.104 * * [simplify]: Extracting #2: cost 59 inf + 1
550.105 * * [simplify]: Extracting #3: cost 68 inf + 44
550.105 * * [simplify]: Extracting #4: cost 102 inf + 45
550.106 * * [simplify]: Extracting #5: cost 246 inf + 437
550.108 * * [simplify]: Extracting #6: cost 320 inf + 5589
550.131 * * [simplify]: Extracting #7: cost 139 inf + 64607
550.166 * * [simplify]: Extracting #8: cost 45 inf + 102877
550.199 * * [simplify]: Extracting #9: cost 24 inf + 117767
550.243 * * [simplify]: Extracting #10: cost 11 inf + 130339
550.302 * * [simplify]: Extracting #11: cost 0 inf + 143462
550.389 * * [simplify]: Extracting #12: cost 0 inf + 142622
550.443 * [simplify]: Simplified to (/ (/ (* (* (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (+ (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J))) (* (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))))
550.443 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (+ (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J))) (* (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
550.444 * * * * [progress]: [ 581 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
550.444 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
550.445 * * [simplify]: iters left: 6 (46 enodes)
550.459 * * [simplify]: iters left: 5 (232 enodes)
550.554 * * [simplify]: Extracting #0: cost 1 inf + 0
550.554 * * [simplify]: Extracting #1: cost 30 inf + 0
550.554 * * [simplify]: Extracting #2: cost 59 inf + 1
550.555 * * [simplify]: Extracting #3: cost 68 inf + 44
550.555 * * [simplify]: Extracting #4: cost 90 inf + 45
550.556 * * [simplify]: Extracting #5: cost 204 inf + 437
550.560 * * [simplify]: Extracting #6: cost 278 inf + 5461
550.579 * * [simplify]: Extracting #7: cost 119 inf + 56645
550.614 * * [simplify]: Extracting #8: cost 43 inf + 87855
550.646 * * [simplify]: Extracting #9: cost 27 inf + 100378
550.680 * * [simplify]: Extracting #10: cost 13 inf + 114376
550.725 * * [simplify]: Extracting #11: cost 0 inf + 129950
550.791 * * [simplify]: Extracting #12: cost 0 inf + 129910
550.844 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) 1) U) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) U))))) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (* (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) 1) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* U (* U U))))))))
550.844 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) 1) U) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) U))))) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (* (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) 1) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* U (* U U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
550.844 * * * * [progress]: [ 582 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
550.845 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
550.845 * * [simplify]: iters left: 6 (51 enodes)
550.862 * * [simplify]: iters left: 5 (262 enodes)
550.947 * * [simplify]: Extracting #0: cost 1 inf + 0
550.947 * * [simplify]: Extracting #1: cost 30 inf + 0
550.947 * * [simplify]: Extracting #2: cost 59 inf + 1
550.947 * * [simplify]: Extracting #3: cost 68 inf + 44
550.947 * * [simplify]: Extracting #4: cost 107 inf + 45
550.948 * * [simplify]: Extracting #5: cost 276 inf + 704
550.950 * * [simplify]: Extracting #6: cost 330 inf + 6263
550.961 * * [simplify]: Extracting #7: cost 182 inf + 56280
550.991 * * [simplify]: Extracting #8: cost 49 inf + 114820
551.049 * * [simplify]: Extracting #9: cost 23 inf + 134716
551.150 * * [simplify]: Extracting #10: cost 2 inf + 157573
551.240 * * [simplify]: Extracting #11: cost 0 inf + 160145
551.318 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))))))))
551.318 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
551.319 * * * * [progress]: [ 583 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
551.319 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
551.320 * * [simplify]: iters left: 6 (43 enodes)
551.338 * * [simplify]: iters left: 5 (206 enodes)
551.423 * * [simplify]: Extracting #0: cost 1 inf + 0
551.423 * * [simplify]: Extracting #1: cost 24 inf + 0
551.423 * * [simplify]: Extracting #2: cost 51 inf + 1
551.423 * * [simplify]: Extracting #3: cost 60 inf + 2
551.424 * * [simplify]: Extracting #4: cost 118 inf + 45
551.424 * * [simplify]: Extracting #5: cost 248 inf + 847
551.426 * * [simplify]: Extracting #6: cost 225 inf + 5418
551.435 * * [simplify]: Extracting #7: cost 103 inf + 45955
551.461 * * [simplify]: Extracting #8: cost 28 inf + 74030
551.491 * * [simplify]: Extracting #9: cost 5 inf + 93655
551.535 * * [simplify]: Extracting #10: cost 0 inf + 98664
551.569 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (/ (/ U (/ (* (* 2 (cos (/ K 2))) J) U)) (* (* 2 (cos (/ K 2))) J)) (/ (/ U (/ (* (* 2 (cos (/ K 2))) J) U)) (* (* 2 (cos (/ K 2))) J))) (/ (/ U (/ (* (* 2 (cos (/ K 2))) J) U)) (* (* 2 (cos (/ K 2))) J))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (- 1 (* (/ (/ U (/ (* (* 2 (cos (/ K 2))) J) U)) (* (* 2 (cos (/ K 2))) J)) (/ (/ U (/ (* (* 2 (cos (/ K 2))) J) U)) (* (* 2 (cos (/ K 2))) J)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* (+ (/ (/ U (/ (* (* 2 (cos (/ K 2))) J) U)) (* (* 2 (cos (/ K 2))) J)) 1) (/ U (/ (* (* 2 (cos (/ K 2))) J) U))) (/ U (/ (* (* 2 (cos (/ K 2))) J) U))))))
551.569 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (/ (/ U (/ (* (* 2 (cos (/ K 2))) J) U)) (* (* 2 (cos (/ K 2))) J)) (/ (/ U (/ (* (* 2 (cos (/ K 2))) J) U)) (* (* 2 (cos (/ K 2))) J))) (/ (/ U (/ (* (* 2 (cos (/ K 2))) J) U)) (* (* 2 (cos (/ K 2))) J))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (- 1 (* (/ (/ U (/ (* (* 2 (cos (/ K 2))) J) U)) (* (* 2 (cos (/ K 2))) J)) (/ (/ U (/ (* (* 2 (cos (/ K 2))) J) U)) (* (* 2 (cos (/ K 2))) J)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* (+ (/ (/ U (/ (* (* 2 (cos (/ K 2))) J) U)) (* (* 2 (cos (/ K 2))) J)) 1) (/ U (/ (* (* 2 (cos (/ K 2))) J) U))) (/ U (/ (* (* 2 (cos (/ K 2))) J) U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
551.570 * * * * [progress]: [ 584 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
551.571 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
551.572 * * [simplify]: iters left: 6 (51 enodes)
551.591 * * [simplify]: iters left: 5 (261 enodes)
551.672 * * [simplify]: Extracting #0: cost 1 inf + 0
551.672 * * [simplify]: Extracting #1: cost 30 inf + 0
551.673 * * [simplify]: Extracting #2: cost 59 inf + 1
551.673 * * [simplify]: Extracting #3: cost 69 inf + 2
551.673 * * [simplify]: Extracting #4: cost 110 inf + 45
551.675 * * [simplify]: Extracting #5: cost 270 inf + 561
551.679 * * [simplify]: Extracting #6: cost 322 inf + 6125
551.702 * * [simplify]: Extracting #7: cost 162 inf + 61316
551.762 * * [simplify]: Extracting #8: cost 40 inf + 116396
551.831 * * [simplify]: Extracting #9: cost 1 inf + 150432
551.892 * * [simplify]: Extracting #10: cost 0 inf + 151218
551.990 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))
551.990 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
551.992 * * * * [progress]: [ 585 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
551.992 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
551.993 * * [simplify]: iters left: 6 (43 enodes)
552.020 * * [simplify]: iters left: 5 (203 enodes)
552.084 * * [simplify]: Extracting #0: cost 1 inf + 0
552.084 * * [simplify]: Extracting #1: cost 24 inf + 0
552.085 * * [simplify]: Extracting #2: cost 51 inf + 1
552.085 * * [simplify]: Extracting #3: cost 59 inf + 44
552.085 * * [simplify]: Extracting #4: cost 116 inf + 45
552.086 * * [simplify]: Extracting #5: cost 246 inf + 479
552.089 * * [simplify]: Extracting #6: cost 222 inf + 6185
552.104 * * [simplify]: Extracting #7: cost 93 inf + 44646
552.134 * * [simplify]: Extracting #8: cost 34 inf + 70657
552.181 * * [simplify]: Extracting #9: cost 8 inf + 91917
552.234 * * [simplify]: Extracting #10: cost 0 inf + 98364
552.274 * * [simplify]: Extracting #11: cost 0 inf + 97724
552.311 * [simplify]: Simplified to (/ -2 (/ (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) U) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) U)))) (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J))))
552.311 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ -2 (/ (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) U) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) U)))) (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
552.312 * * * * [progress]: [ 586 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
552.312 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
552.313 * * [simplify]: iters left: 6 (52 enodes)
552.330 * * [simplify]: iters left: 5 (272 enodes)
552.435 * * [simplify]: Extracting #0: cost 1 inf + 0
552.436 * * [simplify]: Extracting #1: cost 30 inf + 0
552.436 * * [simplify]: Extracting #2: cost 59 inf + 1
552.436 * * [simplify]: Extracting #3: cost 69 inf + 2
552.437 * * [simplify]: Extracting #4: cost 102 inf + 45
552.438 * * [simplify]: Extracting #5: cost 252 inf + 764
552.441 * * [simplify]: Extracting #6: cost 336 inf + 4759
552.459 * * [simplify]: Extracting #7: cost 192 inf + 50748
552.488 * * [simplify]: Extracting #8: cost 59 inf + 102048
552.530 * * [simplify]: Extracting #9: cost 28 inf + 121626
552.612 * * [simplify]: Extracting #10: cost 5 inf + 147855
552.664 * * [simplify]: Extracting #11: cost 0 inf + 154023
552.725 * * [simplify]: Extracting #12: cost 0 inf + 153623
552.792 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))))))) (/ (* (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (+ (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* U U)) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (+ (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))))))))))
552.792 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))))))) (/ (* (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))) (+ (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* U U)) (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (+ (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (/ (* U U) (* 2 (* (cos (/ K 2)) J)))) (/ (/ (* U U) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
552.793 * * * * [progress]: [ 587 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
552.793 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
552.793 * * [simplify]: iters left: 6 (45 enodes)
552.808 * * [simplify]: iters left: 5 (231 enodes)
552.881 * * [simplify]: Extracting #0: cost 1 inf + 0
552.881 * * [simplify]: Extracting #1: cost 30 inf + 0
552.881 * * [simplify]: Extracting #2: cost 59 inf + 1
552.881 * * [simplify]: Extracting #3: cost 69 inf + 2
552.881 * * [simplify]: Extracting #4: cost 89 inf + 45
552.882 * * [simplify]: Extracting #5: cost 208 inf + 437
552.883 * * [simplify]: Extracting #6: cost 290 inf + 4142
552.893 * * [simplify]: Extracting #7: cost 117 inf + 55538
552.912 * * [simplify]: Extracting #8: cost 47 inf + 84152
552.947 * * [simplify]: Extracting #9: cost 15 inf + 111654
553.023 * * [simplify]: Extracting #10: cost 0 inf + 128640
553.087 * * [simplify]: Extracting #11: cost 0 inf + 128600
553.157 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (/ -2 (sqrt (sqrt (+ (* (* U U) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))))))))
553.157 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (/ -2 (sqrt (sqrt (+ (* (* U U) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
553.158 * * * * [progress]: [ 588 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
553.159 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
553.160 * * [simplify]: iters left: 6 (51 enodes)
553.188 * * [simplify]: iters left: 5 (261 enodes)
553.265 * * [simplify]: Extracting #0: cost 1 inf + 0
553.265 * * [simplify]: Extracting #1: cost 30 inf + 0
553.266 * * [simplify]: Extracting #2: cost 59 inf + 1
553.266 * * [simplify]: Extracting #3: cost 69 inf + 2
553.266 * * [simplify]: Extracting #4: cost 107 inf + 45
553.267 * * [simplify]: Extracting #5: cost 265 inf + 561
553.269 * * [simplify]: Extracting #6: cost 320 inf + 6103
553.287 * * [simplify]: Extracting #7: cost 145 inf + 66348
553.347 * * [simplify]: Extracting #8: cost 42 inf + 111085
553.418 * * [simplify]: Extracting #9: cost 20 inf + 129126
553.492 * * [simplify]: Extracting #10: cost 3 inf + 146521
553.565 * * [simplify]: Extracting #11: cost 0 inf + 150359
553.626 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (* U U) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))
553.626 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (* U U) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
553.627 * * * * [progress]: [ 589 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
553.627 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
553.628 * * [simplify]: iters left: 6 (43 enodes)
553.650 * * [simplify]: iters left: 5 (204 enodes)
553.702 * * [simplify]: Extracting #0: cost 1 inf + 0
553.702 * * [simplify]: Extracting #1: cost 24 inf + 0
553.702 * * [simplify]: Extracting #2: cost 51 inf + 1
553.702 * * [simplify]: Extracting #3: cost 59 inf + 44
553.702 * * [simplify]: Extracting #4: cost 114 inf + 45
553.703 * * [simplify]: Extracting #5: cost 243 inf + 705
553.705 * * [simplify]: Extracting #6: cost 217 inf + 7097
553.713 * * [simplify]: Extracting #7: cost 80 inf + 48337
553.739 * * [simplify]: Extracting #8: cost 30 inf + 70971
553.786 * * [simplify]: Extracting #9: cost 7 inf + 90119
553.835 * * [simplify]: Extracting #10: cost 0 inf + 97258
553.873 * [simplify]: Simplified to (/ -2 (/ (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))))) (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J))))
553.873 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ -2 (/ (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))))) (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
553.874 * * * * [progress]: [ 590 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
553.875 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
553.876 * * [simplify]: iters left: 6 (49 enodes)
553.906 * * [simplify]: iters left: 5 (256 enodes)
554.012 * * [simplify]: Extracting #0: cost 1 inf + 0
554.012 * * [simplify]: Extracting #1: cost 30 inf + 0
554.013 * * [simplify]: Extracting #2: cost 59 inf + 1
554.013 * * [simplify]: Extracting #3: cost 69 inf + 2
554.014 * * [simplify]: Extracting #4: cost 104 inf + 45
554.015 * * [simplify]: Extracting #5: cost 240 inf + 478
554.018 * * [simplify]: Extracting #6: cost 319 inf + 6456
554.038 * * [simplify]: Extracting #7: cost 151 inf + 64441
554.064 * * [simplify]: Extracting #8: cost 51 inf + 106854
554.117 * * [simplify]: Extracting #9: cost 26 inf + 124164
554.192 * * [simplify]: Extracting #10: cost 2 inf + 148740
554.244 * * [simplify]: Extracting #11: cost 0 inf + 150512
554.297 * * [simplify]: Extracting #12: cost 0 inf + 150352
554.389 * [simplify]: Simplified to (/ (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (* U U) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* U (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))))))
554.390 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (* U U) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* U (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
554.391 * * * * [progress]: [ 591 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
554.392 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
554.393 * * [simplify]: iters left: 6 (37 enodes)
554.406 * * [simplify]: iters left: 5 (184 enodes)
554.475 * * [simplify]: Extracting #0: cost 1 inf + 0
554.475 * * [simplify]: Extracting #1: cost 24 inf + 0
554.475 * * [simplify]: Extracting #2: cost 51 inf + 1
554.476 * * [simplify]: Extracting #3: cost 60 inf + 2
554.476 * * [simplify]: Extracting #4: cost 115 inf + 45
554.477 * * [simplify]: Extracting #5: cost 252 inf + 766
554.481 * * [simplify]: Extracting #6: cost 222 inf + 8313
554.499 * * [simplify]: Extracting #7: cost 76 inf + 51979
554.524 * * [simplify]: Extracting #8: cost 25 inf + 75321
554.553 * * [simplify]: Extracting #9: cost 4 inf + 92537
554.587 * * [simplify]: Extracting #10: cost 0 inf + 95920
554.638 * [simplify]: Simplified to (/ (* (* -2 (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1))) (* (cos (/ K 2)) J)) (sqrt (+ (* (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U))))))
554.638 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* -2 (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1))) (* (cos (/ K 2)) J)) (sqrt (+ (* (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
554.639 * * * * [progress]: [ 592 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
554.640 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
554.641 * * [simplify]: iters left: 6 (51 enodes)
554.668 * * [simplify]: iters left: 5 (266 enodes)
554.759 * * [simplify]: Extracting #0: cost 1 inf + 0
554.759 * * [simplify]: Extracting #1: cost 30 inf + 0
554.760 * * [simplify]: Extracting #2: cost 59 inf + 1
554.760 * * [simplify]: Extracting #3: cost 69 inf + 2
554.761 * * [simplify]: Extracting #4: cost 108 inf + 45
554.762 * * [simplify]: Extracting #5: cost 289 inf + 663
554.765 * * [simplify]: Extracting #6: cost 351 inf + 2930
554.776 * * [simplify]: Extracting #7: cost 219 inf + 46613
554.804 * * [simplify]: Extracting #8: cost 58 inf + 117051
554.876 * * [simplify]: Extracting #9: cost 21 inf + 141133
554.936 * * [simplify]: Extracting #10: cost 1 inf + 161806
555.020 * * [simplify]: Extracting #11: cost 0 inf + 162992
555.087 * [simplify]: Simplified to (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* U U)))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))))
555.087 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* U U)))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
555.088 * * * * [progress]: [ 593 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
555.088 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
555.089 * * [simplify]: iters left: 6 (43 enodes)
555.102 * * [simplify]: iters left: 5 (220 enodes)
555.208 * * [simplify]: Extracting #0: cost 1 inf + 0
555.208 * * [simplify]: Extracting #1: cost 24 inf + 0
555.208 * * [simplify]: Extracting #2: cost 51 inf + 1
555.208 * * [simplify]: Extracting #3: cost 60 inf + 2
555.209 * * [simplify]: Extracting #4: cost 120 inf + 45
555.211 * * [simplify]: Extracting #5: cost 260 inf + 561
555.215 * * [simplify]: Extracting #6: cost 218 inf + 9012
555.230 * * [simplify]: Extracting #7: cost 96 inf + 45701
555.257 * * [simplify]: Extracting #8: cost 26 inf + 78560
555.283 * * [simplify]: Extracting #9: cost 5 inf + 96171
555.314 * * [simplify]: Extracting #10: cost 0 inf + 101021
555.362 * [simplify]: Simplified to (/ (* (* (cos (/ K 2)) (* J -2)) (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1))) (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U))))))
555.362 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (cos (/ K 2)) (* J -2)) (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1))) (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) U) (* (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* (/ (/ (/ U 2) J) (cos (/ K 2))) U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
555.364 * * * * [progress]: [ 594 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
555.364 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
555.365 * * [simplify]: iters left: 6 (51 enodes)
555.391 * * [simplify]: iters left: 5 (264 enodes)
555.468 * * [simplify]: Extracting #0: cost 1 inf + 0
555.468 * * [simplify]: Extracting #1: cost 30 inf + 0
555.468 * * [simplify]: Extracting #2: cost 59 inf + 1
555.468 * * [simplify]: Extracting #3: cost 69 inf + 2
555.469 * * [simplify]: Extracting #4: cost 102 inf + 45
555.469 * * [simplify]: Extracting #5: cost 223 inf + 806
555.471 * * [simplify]: Extracting #6: cost 303 inf + 5115
555.485 * * [simplify]: Extracting #7: cost 132 inf + 63484
555.513 * * [simplify]: Extracting #8: cost 41 inf + 102297
555.569 * * [simplify]: Extracting #9: cost 15 inf + 124398
555.620 * * [simplify]: Extracting #10: cost 0 inf + 141223
555.713 * [simplify]: Simplified to (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* 2 (* (cos (/ K 2)) J))) (* (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) U) (+ 1 (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))
555.713 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* 2 (* (cos (/ K 2)) J))) (* (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (/ (/ U (* 2 (cos (/ K 2)))) J)) U) (+ 1 (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
555.715 * * * * [progress]: [ 595 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
555.716 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
555.716 * * [simplify]: iters left: 6 (44 enodes)
555.745 * * [simplify]: iters left: 5 (222 enodes)
555.845 * * [simplify]: Extracting #0: cost 1 inf + 0
555.845 * * [simplify]: Extracting #1: cost 30 inf + 0
555.845 * * [simplify]: Extracting #2: cost 59 inf + 1
555.845 * * [simplify]: Extracting #3: cost 69 inf + 2
555.845 * * [simplify]: Extracting #4: cost 91 inf + 45
555.846 * * [simplify]: Extracting #5: cost 197 inf + 662
555.847 * * [simplify]: Extracting #6: cost 248 inf + 5936
555.858 * * [simplify]: Extracting #7: cost 108 inf + 48654
555.891 * * [simplify]: Extracting #8: cost 35 inf + 80514
555.937 * * [simplify]: Extracting #9: cost 12 inf + 100635
555.973 * * [simplify]: Extracting #10: cost 0 inf + 113515
556.012 * * [simplify]: Extracting #11: cost 0 inf + 113275
556.060 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (cos (/ K 2)) J))) (* (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))) (/ -2 (sqrt (sqrt (+ (* 2 (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (cos (/ K 2)) J))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1)))))))
556.060 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (cos (/ K 2)) J))) (* (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))) (/ -2 (sqrt (sqrt (+ (* 2 (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (cos (/ K 2)) J))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
556.061 * * * * [progress]: [ 596 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
556.061 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
556.062 * * [simplify]: iters left: 6 (50 enodes)
556.090 * * [simplify]: iters left: 5 (263 enodes)
556.206 * * [simplify]: Extracting #0: cost 1 inf + 0
556.206 * * [simplify]: Extracting #1: cost 30 inf + 0
556.206 * * [simplify]: Extracting #2: cost 59 inf + 1
556.207 * * [simplify]: Extracting #3: cost 69 inf + 2
556.207 * * [simplify]: Extracting #4: cost 104 inf + 45
556.208 * * [simplify]: Extracting #5: cost 240 inf + 437
556.212 * * [simplify]: Extracting #6: cost 332 inf + 5554
556.231 * * [simplify]: Extracting #7: cost 170 inf + 57299
556.256 * * [simplify]: Extracting #8: cost 46 inf + 107361
556.320 * * [simplify]: Extracting #9: cost 24 inf + 123998
556.382 * * [simplify]: Extracting #10: cost 3 inf + 145933
556.450 * * [simplify]: Extracting #11: cost 0 inf + 150011
556.516 * [simplify]: Simplified to (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* 2 (* (cos (/ K 2)) J))) (* (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))
556.517 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* 2 (* (cos (/ K 2)) J))) (* (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (/ (/ U (* (cos (/ K 2)) J)) 2)) (/ (/ U (* (cos (/ K 2)) J)) 2)) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
556.518 * * * * [progress]: [ 597 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
556.519 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
556.520 * * [simplify]: iters left: 6 (43 enodes)
556.546 * * [simplify]: iters left: 5 (220 enodes)
556.637 * * [simplify]: Extracting #0: cost 1 inf + 0
556.637 * * [simplify]: Extracting #1: cost 30 inf + 0
556.637 * * [simplify]: Extracting #2: cost 59 inf + 1
556.638 * * [simplify]: Extracting #3: cost 69 inf + 2
556.638 * * [simplify]: Extracting #4: cost 91 inf + 45
556.639 * * [simplify]: Extracting #5: cost 210 inf + 335
556.643 * * [simplify]: Extracting #6: cost 263 inf + 6606
556.666 * * [simplify]: Extracting #7: cost 109 inf + 59167
556.712 * * [simplify]: Extracting #8: cost 31 inf + 95267
556.772 * * [simplify]: Extracting #9: cost 10 inf + 114363
556.850 * * [simplify]: Extracting #10: cost 0 inf + 123581
556.894 * * [simplify]: Extracting #11: cost 0 inf + 121901
556.953 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (cos (/ K 2))) J)))))) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)) (* (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) (* U U)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))
556.953 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (cos (/ K 2))) J)))))) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)) (* (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) (* U U)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
556.955 * * * * [progress]: [ 598 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
556.955 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
556.956 * * [simplify]: iters left: 6 (51 enodes)
556.988 * * [simplify]: iters left: 5 (258 enodes)
557.107 * * [simplify]: Extracting #0: cost 1 inf + 0
557.107 * * [simplify]: Extracting #1: cost 30 inf + 0
557.107 * * [simplify]: Extracting #2: cost 59 inf + 1
557.108 * * [simplify]: Extracting #3: cost 68 inf + 44
557.108 * * [simplify]: Extracting #4: cost 103 inf + 45
557.108 * * [simplify]: Extracting #5: cost 245 inf + 335
557.110 * * [simplify]: Extracting #6: cost 319 inf + 5285
557.129 * * [simplify]: Extracting #7: cost 138 inf + 65523
557.173 * * [simplify]: Extracting #8: cost 42 inf + 105933
557.216 * * [simplify]: Extracting #9: cost 21 inf + 123026
557.288 * * [simplify]: Extracting #10: cost 3 inf + 141205
557.368 * * [simplify]: Extracting #11: cost 0 inf + 144923
557.430 * [simplify]: Simplified to (/ (/ (* (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* U U)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))
557.430 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* U U)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
557.431 * * * * [progress]: [ 599 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
557.432 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
557.433 * * [simplify]: iters left: 6 (43 enodes)
557.450 * * [simplify]: iters left: 5 (199 enodes)
557.502 * * [simplify]: Extracting #0: cost 1 inf + 0
557.502 * * [simplify]: Extracting #1: cost 24 inf + 0
557.503 * * [simplify]: Extracting #2: cost 51 inf + 1
557.503 * * [simplify]: Extracting #3: cost 60 inf + 2
557.503 * * [simplify]: Extracting #4: cost 115 inf + 45
557.504 * * [simplify]: Extracting #5: cost 255 inf + 377
557.506 * * [simplify]: Extracting #6: cost 213 inf + 10402
557.515 * * [simplify]: Extracting #7: cost 91 inf + 47426
557.548 * * [simplify]: Extracting #8: cost 27 inf + 76207
557.599 * * [simplify]: Extracting #9: cost 7 inf + 92719
557.638 * * [simplify]: Extracting #10: cost 0 inf + 99178
557.696 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (* U U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* U U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) -2))
557.696 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (* U U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* U U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) -2)) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
557.697 * * * * [progress]: [ 600 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
557.698 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
557.699 * * [simplify]: iters left: 6 (51 enodes)
557.732 * * [simplify]: iters left: 5 (264 enodes)
557.840 * * [simplify]: Extracting #0: cost 1 inf + 0
557.840 * * [simplify]: Extracting #1: cost 30 inf + 0
557.840 * * [simplify]: Extracting #2: cost 59 inf + 1
557.841 * * [simplify]: Extracting #3: cost 69 inf + 2
557.841 * * [simplify]: Extracting #4: cost 104 inf + 45
557.842 * * [simplify]: Extracting #5: cost 223 inf + 806
557.845 * * [simplify]: Extracting #6: cost 306 inf + 4425
557.870 * * [simplify]: Extracting #7: cost 143 inf + 58853
557.924 * * [simplify]: Extracting #8: cost 40 inf + 102589
557.972 * * [simplify]: Extracting #9: cost 28 inf + 111175
558.048 * * [simplify]: Extracting #10: cost 13 inf + 125036
558.110 * * [simplify]: Extracting #11: cost 0 inf + 139970
558.188 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* J (* 2 (cos (/ K 2))))) (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (* U U) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))))
558.188 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* J (* 2 (cos (/ K 2))))) (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (* U U) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
558.190 * * * * [progress]: [ 601 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
558.191 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
558.192 * * [simplify]: iters left: 6 (44 enodes)
558.219 * * [simplify]: iters left: 5 (222 enodes)
558.312 * * [simplify]: Extracting #0: cost 1 inf + 0
558.313 * * [simplify]: Extracting #1: cost 30 inf + 0
558.313 * * [simplify]: Extracting #2: cost 59 inf + 1
558.313 * * [simplify]: Extracting #3: cost 68 inf + 44
558.313 * * [simplify]: Extracting #4: cost 91 inf + 45
558.314 * * [simplify]: Extracting #5: cost 202 inf + 335
558.315 * * [simplify]: Extracting #6: cost 256 inf + 4779
558.324 * * [simplify]: Extracting #7: cost 119 inf + 46482
558.349 * * [simplify]: Extracting #8: cost 36 inf + 80819
558.383 * * [simplify]: Extracting #9: cost 11 inf + 101192
558.438 * * [simplify]: Extracting #10: cost 0 inf + 112447
558.487 * [simplify]: Simplified to (* (/ (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (cos (/ K 2)) J))) (* (* U U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (cos (/ K 2)) J)) 2) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))))
558.487 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (cos (/ K 2)) J))) (* (* U U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (cos (/ K 2)) J)) 2) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
558.489 * * * * [progress]: [ 602 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
558.490 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
558.491 * * [simplify]: iters left: 6 (50 enodes)
558.522 * * [simplify]: iters left: 5 (264 enodes)
558.645 * * [simplify]: Extracting #0: cost 1 inf + 0
558.646 * * [simplify]: Extracting #1: cost 30 inf + 0
558.646 * * [simplify]: Extracting #2: cost 59 inf + 1
558.646 * * [simplify]: Extracting #3: cost 69 inf + 2
558.646 * * [simplify]: Extracting #4: cost 101 inf + 45
558.647 * * [simplify]: Extracting #5: cost 230 inf + 437
558.648 * * [simplify]: Extracting #6: cost 313 inf + 5246
558.671 * * [simplify]: Extracting #7: cost 133 inf + 64895
558.728 * * [simplify]: Extracting #8: cost 41 inf + 101909
558.793 * * [simplify]: Extracting #9: cost 21 inf + 118895
558.886 * * [simplify]: Extracting #10: cost 1 inf + 139530
558.981 * * [simplify]: Extracting #11: cost 0 inf + 140435
559.038 * [simplify]: Simplified to (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (/ (/ U 2) (* (cos (/ K 2)) J))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (/ (/ U 2) (* (cos (/ K 2)) J))))))))
559.038 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (/ (/ U 2) (* (cos (/ K 2)) J))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
559.039 * * * * [progress]: [ 603 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
559.040 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
559.040 * * [simplify]: iters left: 6 (43 enodes)
559.055 * * [simplify]: iters left: 5 (222 enodes)
559.145 * * [simplify]: Extracting #0: cost 1 inf + 0
559.145 * * [simplify]: Extracting #1: cost 30 inf + 0
559.145 * * [simplify]: Extracting #2: cost 59 inf + 1
559.146 * * [simplify]: Extracting #3: cost 69 inf + 2
559.146 * * [simplify]: Extracting #4: cost 91 inf + 45
559.147 * * [simplify]: Extracting #5: cost 209 inf + 478
559.150 * * [simplify]: Extracting #6: cost 263 inf + 6317
559.168 * * [simplify]: Extracting #7: cost 126 inf + 47852
559.204 * * [simplify]: Extracting #8: cost 48 inf + 78179
559.257 * * [simplify]: Extracting #9: cost 16 inf + 103106
559.308 * * [simplify]: Extracting #10: cost 1 inf + 118294
559.352 * * [simplify]: Extracting #11: cost 0 inf + 119640
559.398 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (cos (/ K 2)) (* (* 2 J) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))) (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* U U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))))
559.398 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (cos (/ K 2)) (* (* 2 J) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))) (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* U U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
559.399 * * * * [progress]: [ 604 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
559.400 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3))))))
559.400 * * [simplify]: iters left: 6 (45 enodes)
559.428 * * [simplify]: iters left: 5 (227 enodes)
559.511 * * [simplify]: Extracting #0: cost 1 inf + 0
559.511 * * [simplify]: Extracting #1: cost 30 inf + 0
559.512 * * [simplify]: Extracting #2: cost 59 inf + 1
559.512 * * [simplify]: Extracting #3: cost 68 inf + 44
559.513 * * [simplify]: Extracting #4: cost 94 inf + 45
559.514 * * [simplify]: Extracting #5: cost 212 inf + 478
559.516 * * [simplify]: Extracting #6: cost 282 inf + 3845
559.534 * * [simplify]: Extracting #7: cost 127 inf + 53263
559.575 * * [simplify]: Extracting #8: cost 37 inf + 90183
559.632 * * [simplify]: Extracting #9: cost 11 inf + 111883
559.695 * * [simplify]: Extracting #10: cost 0 inf + 122862
559.736 * * [simplify]: Extracting #11: cost 0 inf + 122039
559.784 * [simplify]: Simplified to (/ (/ (* (* (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)))))))) (sqrt (sqrt (+ (* (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))))
559.784 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)))))))) (sqrt (sqrt (+ (* (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
559.786 * * * * [progress]: [ 605 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
559.787 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
559.788 * * [simplify]: iters left: 6 (44 enodes)
559.815 * * [simplify]: iters left: 5 (227 enodes)
559.910 * * [simplify]: Extracting #0: cost 1 inf + 0
559.910 * * [simplify]: Extracting #1: cost 30 inf + 0
559.910 * * [simplify]: Extracting #2: cost 59 inf + 1
559.911 * * [simplify]: Extracting #3: cost 69 inf + 2
559.911 * * [simplify]: Extracting #4: cost 99 inf + 45
559.911 * * [simplify]: Extracting #5: cost 215 inf + 479
559.912 * * [simplify]: Extracting #6: cost 282 inf + 2072
559.923 * * [simplify]: Extracting #7: cost 173 inf + 35403
559.945 * * [simplify]: Extracting #8: cost 40 inf + 85155
559.982 * * [simplify]: Extracting #9: cost 11 inf + 105330
560.027 * * [simplify]: Extracting #10: cost 0 inf + 116013
560.084 * * [simplify]: Extracting #11: cost 0 inf + 115893
560.134 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (- (* (* (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))) (* (- 1 (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (- 1 (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))))))) (sqrt (sqrt (+ (* (- 1 (* (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (* (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) 1)))))))
560.135 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (- (* (* (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))) (* (- 1 (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (- 1 (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))))))) (sqrt (sqrt (+ (* (- 1 (* (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (* (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) 1))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
560.135 * * * * [progress]: [ 606 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
560.136 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
560.136 * * [simplify]: iters left: 6 (49 enodes)
560.153 * * [simplify]: iters left: 5 (257 enodes)
560.236 * * [simplify]: Extracting #0: cost 1 inf + 0
560.236 * * [simplify]: Extracting #1: cost 30 inf + 0
560.237 * * [simplify]: Extracting #2: cost 59 inf + 1
560.237 * * [simplify]: Extracting #3: cost 69 inf + 2
560.237 * * [simplify]: Extracting #4: cost 99 inf + 45
560.237 * * [simplify]: Extracting #5: cost 230 inf + 377
560.239 * * [simplify]: Extracting #6: cost 307 inf + 5153
560.253 * * [simplify]: Extracting #7: cost 137 inf + 63686
560.293 * * [simplify]: Extracting #8: cost 38 inf + 106021
560.354 * * [simplify]: Extracting #9: cost 18 inf + 125891
560.442 * * [simplify]: Extracting #10: cost 0 inf + 145391
560.544 * [simplify]: Simplified to (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* U U) (* U U))) (* (* U U) (* U U))))))))
560.544 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* U U) (* U U))) (* (* U U) (* U U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
560.546 * * * * [progress]: [ 607 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
560.547 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
560.548 * * [simplify]: iters left: 6 (51 enodes)
560.580 * * [simplify]: iters left: 5 (268 enodes)
560.707 * * [simplify]: Extracting #0: cost 1 inf + 0
560.707 * * [simplify]: Extracting #1: cost 30 inf + 0
560.708 * * [simplify]: Extracting #2: cost 59 inf + 1
560.708 * * [simplify]: Extracting #3: cost 69 inf + 2
560.708 * * [simplify]: Extracting #4: cost 100 inf + 45
560.709 * * [simplify]: Extracting #5: cost 234 inf + 519
560.710 * * [simplify]: Extracting #6: cost 319 inf + 5360
560.729 * * [simplify]: Extracting #7: cost 149 inf + 60911
560.778 * * [simplify]: Extracting #8: cost 46 inf + 104573
560.851 * * [simplify]: Extracting #9: cost 23 inf + 126596
560.906 * * [simplify]: Extracting #10: cost 1 inf + 153037
561.005 * * [simplify]: Extracting #11: cost 0 inf + 154143
561.082 * [simplify]: Simplified to (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))) (/ -2 (sqrt (sqrt (+ (* (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (+ (* (* U U) (* U U)) (* (/ (* (/ U 2) (* U U)) (* (cos (/ K 2)) J)) (/ (* (/ U 2) (* U U)) (* (cos (/ K 2)) J))))))))))
561.082 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)))))) (/ -2 (sqrt (sqrt (+ (* (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (+ (* (* U U) (* U U)) (* (/ (* (/ U 2) (* U U)) (* (cos (/ K 2)) J)) (/ (* (/ U 2) (* U U)) (* (cos (/ K 2)) J)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
561.084 * * * * [progress]: [ 608 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
561.084 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
561.085 * * [simplify]: iters left: 6 (50 enodes)
561.116 * * [simplify]: iters left: 5 (261 enodes)
561.240 * * [simplify]: Extracting #0: cost 1 inf + 0
561.240 * * [simplify]: Extracting #1: cost 30 inf + 0
561.240 * * [simplify]: Extracting #2: cost 59 inf + 1
561.240 * * [simplify]: Extracting #3: cost 69 inf + 2
561.240 * * [simplify]: Extracting #4: cost 100 inf + 45
561.241 * * [simplify]: Extracting #5: cost 227 inf + 520
561.242 * * [simplify]: Extracting #6: cost 311 inf + 3141
561.254 * * [simplify]: Extracting #7: cost 145 inf + 57881
561.287 * * [simplify]: Extracting #8: cost 46 inf + 97827
561.332 * * [simplify]: Extracting #9: cost 33 inf + 107516
561.389 * * [simplify]: Extracting #10: cost 20 inf + 120609
561.449 * * [simplify]: Extracting #11: cost 1 inf + 142294
561.535 * * [simplify]: Extracting #12: cost 0 inf + 143320
561.602 * [simplify]: Simplified to (* (/ (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* U U) U) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (* U U) U) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))))))))
561.602 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* U U) U) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (* U U) U) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
561.605 * * * * [progress]: [ 609 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
561.605 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
561.606 * * [simplify]: iters left: 6 (52 enodes)
561.638 * * [simplify]: iters left: 5 (271 enodes)
561.773 * * [simplify]: Extracting #0: cost 1 inf + 0
561.773 * * [simplify]: Extracting #1: cost 30 inf + 0
561.773 * * [simplify]: Extracting #2: cost 59 inf + 1
561.773 * * [simplify]: Extracting #3: cost 68 inf + 44
561.773 * * [simplify]: Extracting #4: cost 100 inf + 45
561.774 * * [simplify]: Extracting #5: cost 237 inf + 519
561.776 * * [simplify]: Extracting #6: cost 314 inf + 5185
561.788 * * [simplify]: Extracting #7: cost 142 inf + 62098
561.829 * * [simplify]: Extracting #8: cost 51 inf + 100527
561.868 * * [simplify]: Extracting #9: cost 30 inf + 115536
561.936 * * [simplify]: Extracting #10: cost 9 inf + 140113
562.004 * * [simplify]: Extracting #11: cost 0 inf + 153304
562.104 * [simplify]: Simplified to (* (/ (sqrt (+ 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ U (cos (/ K 2))) (/ U (* 2 J))) (* (* (/ U (cos (/ K 2))) (/ U (* 2 J))) (* (/ U (cos (/ K 2))) (/ U (* 2 J))))) (* (* (* (/ U (cos (/ K 2))) (/ U (* 2 J))) U) U)))))))
562.104 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ U (cos (/ K 2))) (/ U (* 2 J))) (* (* (/ U (cos (/ K 2))) (/ U (* 2 J))) (* (/ U (cos (/ K 2))) (/ U (* 2 J))))) (* (* (* (/ U (cos (/ K 2))) (/ U (* 2 J))) U) U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
562.105 * * * * [progress]: [ 610 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
562.106 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
562.106 * * [simplify]: iters left: 6 (50 enodes)
562.123 * * [simplify]: iters left: 5 (261 enodes)
562.234 * * [simplify]: Extracting #0: cost 1 inf + 0
562.234 * * [simplify]: Extracting #1: cost 30 inf + 0
562.234 * * [simplify]: Extracting #2: cost 59 inf + 1
562.235 * * [simplify]: Extracting #3: cost 69 inf + 2
562.235 * * [simplify]: Extracting #4: cost 100 inf + 45
562.237 * * [simplify]: Extracting #5: cost 230 inf + 520
562.239 * * [simplify]: Extracting #6: cost 308 inf + 4411
562.266 * * [simplify]: Extracting #7: cost 139 inf + 61980
562.311 * * [simplify]: Extracting #8: cost 43 inf + 101227
562.383 * * [simplify]: Extracting #9: cost 22 inf + 120761
562.451 * * [simplify]: Extracting #10: cost 2 inf + 142834
562.524 * * [simplify]: Extracting #11: cost 0 inf + 144765
562.589 * [simplify]: Simplified to (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* U U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* (* (* U U) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))))))
562.589 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* U U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* (* (* U U) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
562.590 * * * * [progress]: [ 611 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
562.591 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
562.591 * * [simplify]: iters left: 6 (52 enodes)
562.610 * * [simplify]: iters left: 5 (271 enodes)
562.725 * * [simplify]: Extracting #0: cost 1 inf + 0
562.726 * * [simplify]: Extracting #1: cost 30 inf + 0
562.726 * * [simplify]: Extracting #2: cost 59 inf + 1
562.726 * * [simplify]: Extracting #3: cost 69 inf + 2
562.727 * * [simplify]: Extracting #4: cost 99 inf + 45
562.728 * * [simplify]: Extracting #5: cost 234 inf + 662
562.731 * * [simplify]: Extracting #6: cost 311 inf + 5021
562.755 * * [simplify]: Extracting #7: cost 134 inf + 62872
562.807 * * [simplify]: Extracting #8: cost 42 inf + 102548
562.869 * * [simplify]: Extracting #9: cost 27 inf + 116004
562.959 * * [simplify]: Extracting #10: cost 4 inf + 143237
563.054 * * [simplify]: Extracting #11: cost 0 inf + 148938
563.126 * [simplify]: Simplified to (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* U U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (+ (* (/ (/ (* U U) (cos (/ K 2))) (* 2 J)) (* U U)) (* (/ (/ (* U U) (cos (/ K 2))) (* 2 J)) (* (/ (/ (* U U) (cos (/ K 2))) (* 2 J)) (/ (/ (* U U) (cos (/ K 2))) (* 2 J)))))))))) (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))
563.126 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* U U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))) (+ (* (/ (/ (* U U) (cos (/ K 2))) (* 2 J)) (* U U)) (* (/ (/ (* U U) (cos (/ K 2))) (* 2 J)) (* (/ (/ (* U U) (cos (/ K 2))) (* 2 J)) (/ (/ (* U U) (cos (/ K 2))) (* 2 J)))))))))) (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
563.127 * * * * [progress]: [ 612 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
563.127 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
563.128 * * [simplify]: iters left: 6 (50 enodes)
563.152 * * [simplify]: iters left: 5 (261 enodes)
563.241 * * [simplify]: Extracting #0: cost 1 inf + 0
563.241 * * [simplify]: Extracting #1: cost 30 inf + 0
563.242 * * [simplify]: Extracting #2: cost 59 inf + 1
563.242 * * [simplify]: Extracting #3: cost 68 inf + 44
563.242 * * [simplify]: Extracting #4: cost 100 inf + 45
563.243 * * [simplify]: Extracting #5: cost 240 inf + 335
563.244 * * [simplify]: Extracting #6: cost 301 inf + 7382
563.257 * * [simplify]: Extracting #7: cost 144 inf + 60637
563.289 * * [simplify]: Extracting #8: cost 53 inf + 97777
563.329 * * [simplify]: Extracting #9: cost 29 inf + 115263
563.403 * * [simplify]: Extracting #10: cost 5 inf + 139916
563.481 * * [simplify]: Extracting #11: cost 0 inf + 146046
563.581 * [simplify]: Simplified to (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))) (sqrt (sqrt (+ (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* U U) U) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))))))))
563.582 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))) (sqrt (sqrt (+ (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (* U U) U) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
563.584 * * * * [progress]: [ 613 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
563.584 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
563.585 * * [simplify]: iters left: 6 (52 enodes)
563.620 * * [simplify]: iters left: 5 (272 enodes)
563.733 * * [simplify]: Extracting #0: cost 1 inf + 0
563.733 * * [simplify]: Extracting #1: cost 30 inf + 0
563.733 * * [simplify]: Extracting #2: cost 59 inf + 1
563.733 * * [simplify]: Extracting #3: cost 69 inf + 2
563.734 * * [simplify]: Extracting #4: cost 99 inf + 45
563.735 * * [simplify]: Extracting #5: cost 244 inf + 437
563.738 * * [simplify]: Extracting #6: cost 320 inf + 5768
563.752 * * [simplify]: Extracting #7: cost 149 inf + 62987
563.786 * * [simplify]: Extracting #8: cost 49 inf + 107468
563.826 * * [simplify]: Extracting #9: cost 25 inf + 125953
563.918 * * [simplify]: Extracting #10: cost 3 inf + 150714
563.985 * * [simplify]: Extracting #11: cost 0 inf + 154632
564.048 * [simplify]: Simplified to (/ (* (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (* (* U U) U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* U U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))
564.048 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (* (* U U) U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* U U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
564.049 * * * * [progress]: [ 614 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
564.049 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
564.050 * * [simplify]: iters left: 6 (48 enodes)
564.076 * * [simplify]: iters left: 5 (229 enodes)
564.162 * * [simplify]: Extracting #0: cost 1 inf + 0
564.163 * * [simplify]: Extracting #1: cost 24 inf + 0
564.163 * * [simplify]: Extracting #2: cost 51 inf + 1
564.163 * * [simplify]: Extracting #3: cost 60 inf + 2
564.164 * * [simplify]: Extracting #4: cost 128 inf + 45
564.165 * * [simplify]: Extracting #5: cost 268 inf + 603
564.168 * * [simplify]: Extracting #6: cost 247 inf + 7326
564.188 * * [simplify]: Extracting #7: cost 99 inf + 54246
564.217 * * [simplify]: Extracting #8: cost 24 inf + 92758
564.263 * * [simplify]: Extracting #9: cost 0 inf + 112489
564.334 * [simplify]: Simplified to (/ (* (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) U) (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))))
564.334 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) U) (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
564.335 * * * * [progress]: [ 615 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
564.336 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
564.337 * * [simplify]: iters left: 6 (51 enodes)
564.369 * * [simplify]: iters left: 5 (256 enodes)
564.504 * * [simplify]: Extracting #0: cost 1 inf + 0
564.505 * * [simplify]: Extracting #1: cost 30 inf + 0
564.505 * * [simplify]: Extracting #2: cost 59 inf + 1
564.505 * * [simplify]: Extracting #3: cost 69 inf + 2
564.505 * * [simplify]: Extracting #4: cost 100 inf + 45
564.506 * * [simplify]: Extracting #5: cost 232 inf + 478
564.507 * * [simplify]: Extracting #6: cost 310 inf + 4230
564.517 * * [simplify]: Extracting #7: cost 157 inf + 54283
564.555 * * [simplify]: Extracting #8: cost 43 inf + 101818
564.604 * * [simplify]: Extracting #9: cost 19 inf + 122424
564.675 * * [simplify]: Extracting #10: cost 0 inf + 142751
564.775 * [simplify]: Simplified to (/ (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))))
564.776 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
564.777 * * * * [progress]: [ 616 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
564.778 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
564.779 * * [simplify]: iters left: 6 (49 enodes)
564.800 * * [simplify]: iters left: 5 (249 enodes)
564.906 * * [simplify]: Extracting #0: cost 1 inf + 0
564.906 * * [simplify]: Extracting #1: cost 24 inf + 0
564.906 * * [simplify]: Extracting #2: cost 51 inf + 1
564.907 * * [simplify]: Extracting #3: cost 58 inf + 44
564.907 * * [simplify]: Extracting #4: cost 86 inf + 45
564.908 * * [simplify]: Extracting #5: cost 185 inf + 132
564.910 * * [simplify]: Extracting #6: cost 257 inf + 3648
564.930 * * [simplify]: Extracting #7: cost 110 inf + 53240
564.973 * * [simplify]: Extracting #8: cost 34 inf + 84144
565.030 * * [simplify]: Extracting #9: cost 19 inf + 96127
565.071 * * [simplify]: Extracting #10: cost 2 inf + 112402
565.135 * * [simplify]: Extracting #11: cost 0 inf + 114254
565.204 * [simplify]: Simplified to (/ (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (/ (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) U)))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) U))))) (* (* (cos (/ K 2)) J) -2)))
565.204 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (/ (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) U)))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) U))))) (* (* (cos (/ K 2)) J) -2))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
565.205 * * * * [progress]: [ 617 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
565.205 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
565.206 * * [simplify]: iters left: 6 (52 enodes)
565.228 * * [simplify]: iters left: 5 (264 enodes)
565.328 * * [simplify]: Extracting #0: cost 1 inf + 0
565.328 * * [simplify]: Extracting #1: cost 30 inf + 0
565.328 * * [simplify]: Extracting #2: cost 59 inf + 1
565.328 * * [simplify]: Extracting #3: cost 68 inf + 44
565.328 * * [simplify]: Extracting #4: cost 105 inf + 45
565.329 * * [simplify]: Extracting #5: cost 245 inf + 520
565.332 * * [simplify]: Extracting #6: cost 286 inf + 10391
565.345 * * [simplify]: Extracting #7: cost 124 inf + 68163
565.393 * * [simplify]: Extracting #8: cost 46 inf + 102018
565.428 * * [simplify]: Extracting #9: cost 29 inf + 115685
565.486 * * [simplify]: Extracting #10: cost 7 inf + 140450
565.580 * * [simplify]: Extracting #11: cost 0 inf + 149790
565.632 * * [simplify]: Extracting #12: cost 0 inf + 149150
565.683 * * [simplify]: Extracting #13: cost 0 inf + 149030
565.758 * [simplify]: Simplified to (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* 2 (* (cos (/ K 2)) J))) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* U U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))
565.758 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* 2 (* (cos (/ K 2)) J))) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* U U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
565.760 * * * * [progress]: [ 618 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
565.760 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
565.761 * * [simplify]: iters left: 6 (50 enodes)
565.792 * * [simplify]: iters left: 5 (260 enodes)
565.867 * * [simplify]: Extracting #0: cost 1 inf + 0
565.867 * * [simplify]: Extracting #1: cost 30 inf + 0
565.868 * * [simplify]: Extracting #2: cost 59 inf + 1
565.868 * * [simplify]: Extracting #3: cost 68 inf + 44
565.868 * * [simplify]: Extracting #4: cost 100 inf + 45
565.870 * * [simplify]: Extracting #5: cost 237 inf + 377
565.873 * * [simplify]: Extracting #6: cost 297 inf + 7370
565.894 * * [simplify]: Extracting #7: cost 154 inf + 56092
565.942 * * [simplify]: Extracting #8: cost 45 inf + 102773
566.011 * * [simplify]: Extracting #9: cost 23 inf + 121611
566.083 * * [simplify]: Extracting #10: cost 4 inf + 143457
566.146 * * [simplify]: Extracting #11: cost 0 inf + 148401
566.244 * [simplify]: Simplified to (/ -2 (/ (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (+ 1 (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* U U)))))) (sqrt (sqrt (+ (* U (* (* (* U U) (/ (/ (/ U 2) J) (cos (/ K 2)))) (+ 1 (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))))))) (* (sqrt (+ 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (* (cos (/ K 2)) J))))
566.244 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ -2 (/ (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (+ 1 (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* U U)))))) (sqrt (sqrt (+ (* U (* (* (* U U) (/ (/ (/ U 2) J) (cos (/ K 2)))) (+ 1 (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))))))) (* (sqrt (+ 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (* (cos (/ K 2)) J)))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
566.246 * * * * [progress]: [ 619 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
566.246 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
566.247 * * [simplify]: iters left: 6 (52 enodes)
566.280 * * [simplify]: iters left: 5 (271 enodes)
566.400 * * [simplify]: Extracting #0: cost 1 inf + 0
566.401 * * [simplify]: Extracting #1: cost 30 inf + 0
566.401 * * [simplify]: Extracting #2: cost 59 inf + 1
566.401 * * [simplify]: Extracting #3: cost 69 inf + 2
566.402 * * [simplify]: Extracting #4: cost 99 inf + 45
566.403 * * [simplify]: Extracting #5: cost 242 inf + 519
566.406 * * [simplify]: Extracting #6: cost 315 inf + 5449
566.414 * * [simplify]: Extracting #7: cost 248 inf + 21086
566.429 * * [simplify]: Extracting #8: cost 148 inf + 56867
566.456 * * [simplify]: Extracting #9: cost 59 inf + 100188
566.501 * * [simplify]: Extracting #10: cost 20 inf + 130770
566.586 * * [simplify]: Extracting #11: cost 4 inf + 149937
566.661 * * [simplify]: Extracting #12: cost 0 inf + 155281
566.742 * * [simplify]: Extracting #13: cost 0 inf + 155241
566.815 * [simplify]: Simplified to (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (+ (* (/ (/ (* U U) (* (cos (/ K 2)) J)) 2) (/ (/ (* U U) (* (cos (/ K 2)) J)) 2)) (* 1 (* U U))) (/ (/ (* U U) (* (cos (/ K 2)) J)) 2))))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (+ (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* U U)) (* 1 (* U U))))))))
566.815 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (+ (* (/ (/ (* U U) (* (cos (/ K 2)) J)) 2) (/ (/ (* U U) (* (cos (/ K 2)) J)) 2)) (* 1 (* U U))) (/ (/ (* U U) (* (cos (/ K 2)) J)) 2))))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (+ (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* U U)) (* 1 (* U U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
566.817 * * * * [progress]: [ 620 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
566.818 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
566.819 * * [simplify]: iters left: 6 (49 enodes)
566.845 * * [simplify]: iters left: 5 (249 enodes)
566.925 * * [simplify]: Extracting #0: cost 1 inf + 0
566.925 * * [simplify]: Extracting #1: cost 24 inf + 0
566.925 * * [simplify]: Extracting #2: cost 51 inf + 1
566.925 * * [simplify]: Extracting #3: cost 59 inf + 2
566.926 * * [simplify]: Extracting #4: cost 86 inf + 45
566.927 * * [simplify]: Extracting #5: cost 184 inf + 561
566.929 * * [simplify]: Extracting #6: cost 259 inf + 4849
566.949 * * [simplify]: Extracting #7: cost 121 inf + 52067
566.997 * * [simplify]: Extracting #8: cost 33 inf + 88857
567.054 * * [simplify]: Extracting #9: cost 16 inf + 103809
567.116 * * [simplify]: Extracting #10: cost 4 inf + 115116
567.172 * * [simplify]: Extracting #11: cost 0 inf + 118740
567.235 * * [simplify]: Extracting #12: cost 0 inf + 118580
567.303 * [simplify]: Simplified to (* (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (cos (/ K 2)) J)) (* (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) U) (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) U) (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))) -2)
567.304 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (cos (/ K 2)) J)) (* (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) U) (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) U) (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))) -2) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
567.304 * * * * [progress]: [ 621 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
567.305 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
567.305 * * [simplify]: iters left: 6 (52 enodes)
567.324 * * [simplify]: iters left: 5 (264 enodes)
567.449 * * [simplify]: Extracting #0: cost 1 inf + 0
567.450 * * [simplify]: Extracting #1: cost 30 inf + 0
567.450 * * [simplify]: Extracting #2: cost 59 inf + 1
567.450 * * [simplify]: Extracting #3: cost 69 inf + 2
567.450 * * [simplify]: Extracting #4: cost 105 inf + 45
567.451 * * [simplify]: Extracting #5: cost 245 inf + 335
567.453 * * [simplify]: Extracting #6: cost 298 inf + 7079
567.466 * * [simplify]: Extracting #7: cost 124 inf + 69798
567.492 * * [simplify]: Extracting #8: cost 47 inf + 102589
567.527 * * [simplify]: Extracting #9: cost 27 inf + 119415
567.589 * * [simplify]: Extracting #10: cost 3 inf + 146110
567.666 * * [simplify]: Extracting #11: cost 0 inf + 149105
567.733 * * [simplify]: Extracting #12: cost 0 inf + 149025
567.821 * [simplify]: Simplified to (* (/ (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* U U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* 2 (* (cos (/ K 2)) J))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) U) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))
567.821 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* U U)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* 2 (* (cos (/ K 2)) J))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) U) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
567.823 * * * * [progress]: [ 622 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
567.824 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
567.824 * * [simplify]: iters left: 6 (48 enodes)
567.844 * * [simplify]: iters left: 5 (248 enodes)
567.926 * * [simplify]: Extracting #0: cost 1 inf + 0
567.926 * * [simplify]: Extracting #1: cost 23 inf + 0
567.926 * * [simplify]: Extracting #2: cost 50 inf + 1
567.926 * * [simplify]: Extracting #3: cost 59 inf + 2
567.927 * * [simplify]: Extracting #4: cost 134 inf + 45
567.928 * * [simplify]: Extracting #5: cost 293 inf + 663
567.933 * * [simplify]: Extracting #6: cost 257 inf + 10296
567.956 * * [simplify]: Extracting #7: cost 118 inf + 56873
568.007 * * [simplify]: Extracting #8: cost 35 inf + 94824
568.046 * * [simplify]: Extracting #9: cost 12 inf + 112731
568.106 * * [simplify]: Extracting #10: cost 0 inf + 123576
568.179 * * [simplify]: Extracting #11: cost 0 inf + 123108
568.236 * [simplify]: Simplified to (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (+ (* (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* U (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J)))) -2) (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))
568.236 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (+ (* (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* U (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (* (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (cos (/ K 2)) J) 4)) (* (cos (/ K 2)) J)))) -2) (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
568.237 * * * * [progress]: [ 623 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
568.238 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
568.239 * * [simplify]: iters left: 6 (51 enodes)
568.271 * * [simplify]: iters left: 5 (264 enodes)
568.366 * * [simplify]: Extracting #0: cost 1 inf + 0
568.366 * * [simplify]: Extracting #1: cost 30 inf + 0
568.366 * * [simplify]: Extracting #2: cost 59 inf + 1
568.366 * * [simplify]: Extracting #3: cost 69 inf + 2
568.366 * * [simplify]: Extracting #4: cost 106 inf + 45
568.367 * * [simplify]: Extracting #5: cost 278 inf + 621
568.369 * * [simplify]: Extracting #6: cost 331 inf + 5289
568.378 * * [simplify]: Extracting #7: cost 212 inf + 43566
568.435 * * [simplify]: Extracting #8: cost 56 inf + 109599
568.486 * * [simplify]: Extracting #9: cost 29 inf + 125718
568.526 * * [simplify]: Extracting #10: cost 23 inf + 132110
568.597 * * [simplify]: Extracting #11: cost 4 inf + 153034
568.678 * * [simplify]: Extracting #12: cost 0 inf + 157018
568.772 * * [simplify]: Extracting #13: cost 0 inf + 156858
568.842 * [simplify]: Simplified to (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (+ 1 (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* U U)))))))
568.842 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (+ 1 (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* U U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
568.843 * * * * [progress]: [ 624 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
568.844 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
568.844 * * [simplify]: iters left: 6 (42 enodes)
568.863 * * [simplify]: iters left: 5 (214 enodes)
568.976 * * [simplify]: Extracting #0: cost 1 inf + 0
568.977 * * [simplify]: Extracting #1: cost 24 inf + 0
568.977 * * [simplify]: Extracting #2: cost 51 inf + 1
568.977 * * [simplify]: Extracting #3: cost 60 inf + 2
568.978 * * [simplify]: Extracting #4: cost 127 inf + 45
568.979 * * [simplify]: Extracting #5: cost 260 inf + 622
568.983 * * [simplify]: Extracting #6: cost 231 inf + 10258
569.006 * * [simplify]: Extracting #7: cost 71 inf + 65615
569.037 * * [simplify]: Extracting #8: cost 11 inf + 100173
569.084 * * [simplify]: Extracting #9: cost 0 inf + 110454
569.151 * [simplify]: Simplified to (/ (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (/ (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* U U))))) (* (* (cos (/ K 2)) J) -2)))
569.151 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (/ (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* U U))))) (* (* (cos (/ K 2)) J) -2))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
569.152 * * * * [progress]: [ 625 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
569.153 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
569.154 * * [simplify]: iters left: 6 (49 enodes)
569.185 * * [simplify]: iters left: 5 (254 enodes)
569.288 * * [simplify]: Extracting #0: cost 1 inf + 0
569.288 * * [simplify]: Extracting #1: cost 30 inf + 0
569.288 * * [simplify]: Extracting #2: cost 59 inf + 1
569.289 * * [simplify]: Extracting #3: cost 69 inf + 2
569.289 * * [simplify]: Extracting #4: cost 99 inf + 45
569.290 * * [simplify]: Extracting #5: cost 226 inf + 335
569.297 * * [simplify]: Extracting #6: cost 291 inf + 4996
569.320 * * [simplify]: Extracting #7: cost 131 inf + 59186
569.345 * * [simplify]: Extracting #8: cost 46 inf + 93717
569.383 * * [simplify]: Extracting #9: cost 21 inf + 114508
569.467 * * [simplify]: Extracting #10: cost 6 inf + 129372
569.534 * * [simplify]: Extracting #11: cost 0 inf + 136088
569.592 * [simplify]: Simplified to (/ (* (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))))
569.592 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
569.593 * * * * [progress]: [ 626 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
569.594 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
569.595 * * [simplify]: iters left: 6 (49 enodes)
569.612 * * [simplify]: iters left: 5 (255 enodes)
569.708 * * [simplify]: Extracting #0: cost 1 inf + 0
569.708 * * [simplify]: Extracting #1: cost 30 inf + 0
569.708 * * [simplify]: Extracting #2: cost 59 inf + 1
569.709 * * [simplify]: Extracting #3: cost 69 inf + 2
569.709 * * [simplify]: Extracting #4: cost 102 inf + 45
569.710 * * [simplify]: Extracting #5: cost 221 inf + 520
569.714 * * [simplify]: Extracting #6: cost 295 inf + 7378
569.739 * * [simplify]: Extracting #7: cost 136 inf + 63716
569.782 * * [simplify]: Extracting #8: cost 47 inf + 103028
569.842 * * [simplify]: Extracting #9: cost 24 inf + 123769
569.948 * * [simplify]: Extracting #10: cost 0 inf + 148943
570.041 * * [simplify]: Extracting #11: cost 0 inf + 147863
570.141 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) U)) (* (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (cos (/ K 2))) (* 2 J)))))) (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* U U))))))))
570.141 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) U)) (* (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (cos (/ K 2))) (* 2 J)))))) (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* U U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
570.142 * * * * [progress]: [ 627 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
570.142 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
570.143 * * [simplify]: iters left: 6 (51 enodes)
570.160 * * [simplify]: iters left: 5 (265 enodes)
570.255 * * [simplify]: Extracting #0: cost 1 inf + 0
570.256 * * [simplify]: Extracting #1: cost 30 inf + 0
570.256 * * [simplify]: Extracting #2: cost 59 inf + 1
570.256 * * [simplify]: Extracting #3: cost 69 inf + 2
570.257 * * [simplify]: Extracting #4: cost 101 inf + 45
570.258 * * [simplify]: Extracting #5: cost 240 inf + 580
570.261 * * [simplify]: Extracting #6: cost 318 inf + 4597
570.279 * * [simplify]: Extracting #7: cost 143 inf + 62441
570.307 * * [simplify]: Extracting #8: cost 51 inf + 100269
570.344 * * [simplify]: Extracting #9: cost 33 inf + 112203
570.425 * * [simplify]: Extracting #10: cost 3 inf + 142930
570.489 * * [simplify]: Extracting #11: cost 0 inf + 145928
570.544 * * [simplify]: Extracting #12: cost 0 inf + 145768
570.619 * [simplify]: Simplified to (/ (* (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (/ (/ U 2) (* (cos (/ K 2)) J))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))))
570.619 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (/ (/ U 2) (* (cos (/ K 2)) J))) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
570.620 * * * * [progress]: [ 628 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
570.621 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
570.621 * * [simplify]: iters left: 6 (49 enodes)
570.638 * * [simplify]: iters left: 5 (255 enodes)
570.748 * * [simplify]: Extracting #0: cost 1 inf + 0
570.748 * * [simplify]: Extracting #1: cost 30 inf + 0
570.748 * * [simplify]: Extracting #2: cost 59 inf + 1
570.749 * * [simplify]: Extracting #3: cost 68 inf + 44
570.749 * * [simplify]: Extracting #4: cost 101 inf + 45
570.750 * * [simplify]: Extracting #5: cost 222 inf + 335
570.759 * * [simplify]: Extracting #6: cost 291 inf + 7621
570.789 * * [simplify]: Extracting #7: cost 114 inf + 71250
570.822 * * [simplify]: Extracting #8: cost 39 inf + 102733
570.889 * * [simplify]: Extracting #9: cost 13 inf + 128834
570.978 * * [simplify]: Extracting #10: cost 1 inf + 141381
571.052 * * [simplify]: Extracting #11: cost 0 inf + 142367
571.126 * [simplify]: Simplified to (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* U (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))) (/ -2 (sqrt (sqrt (+ (* (* (/ U (* (cos (/ K 2)) J)) (/ U 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (* (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) 2)))))) (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))
571.126 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* U (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))) (/ -2 (sqrt (sqrt (+ (* (* (/ U (* (cos (/ K 2)) J)) (/ U 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (* (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) 2)))))) (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
571.128 * * * * [progress]: [ 629 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
571.128 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
571.129 * * [simplify]: iters left: 6 (51 enodes)
571.147 * * [simplify]: iters left: 5 (265 enodes)
571.252 * * [simplify]: Extracting #0: cost 1 inf + 0
571.252 * * [simplify]: Extracting #1: cost 30 inf + 0
571.252 * * [simplify]: Extracting #2: cost 59 inf + 1
571.253 * * [simplify]: Extracting #3: cost 69 inf + 2
571.253 * * [simplify]: Extracting #4: cost 100 inf + 45
571.254 * * [simplify]: Extracting #5: cost 230 inf + 622
571.257 * * [simplify]: Extracting #6: cost 308 inf + 5560
571.283 * * [simplify]: Extracting #7: cost 152 inf + 56582
571.317 * * [simplify]: Extracting #8: cost 44 inf + 100771
571.377 * * [simplify]: Extracting #9: cost 19 inf + 121804
571.442 * * [simplify]: Extracting #10: cost 0 inf + 143211
571.522 * * [simplify]: Extracting #11: cost 0 inf + 142451
571.595 * [simplify]: Simplified to (* (/ (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* U U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))
571.596 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* U U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
571.597 * * * * [progress]: [ 630 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
571.598 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
571.599 * * [simplify]: iters left: 6 (47 enodes)
571.623 * * [simplify]: iters left: 5 (248 enodes)
571.705 * * [simplify]: Extracting #0: cost 1 inf + 0
571.706 * * [simplify]: Extracting #1: cost 25 inf + 0
571.706 * * [simplify]: Extracting #2: cost 52 inf + 1
571.706 * * [simplify]: Extracting #3: cost 60 inf + 2
571.706 * * [simplify]: Extracting #4: cost 88 inf + 45
571.707 * * [simplify]: Extracting #5: cost 191 inf + 377
571.708 * * [simplify]: Extracting #6: cost 277 inf + 4482
571.723 * * [simplify]: Extracting #7: cost 128 inf + 54127
571.747 * * [simplify]: Extracting #8: cost 39 inf + 89265
571.799 * * [simplify]: Extracting #9: cost 18 inf + 106193
571.850 * * [simplify]: Extracting #10: cost 3 inf + 120539
571.910 * * [simplify]: Extracting #11: cost 0 inf + 123577
571.970 * [simplify]: Simplified to (* (/ (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* U U)))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* U U)))))))
571.970 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* U U)))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* U U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
571.972 * * * * [progress]: [ 631 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
571.973 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
571.974 * * [simplify]: iters left: 6 (50 enodes)
572.004 * * [simplify]: iters left: 5 (263 enodes)
572.113 * * [simplify]: Extracting #0: cost 1 inf + 0
572.113 * * [simplify]: Extracting #1: cost 30 inf + 0
572.113 * * [simplify]: Extracting #2: cost 59 inf + 1
572.114 * * [simplify]: Extracting #3: cost 69 inf + 2
572.114 * * [simplify]: Extracting #4: cost 106 inf + 45
572.114 * * [simplify]: Extracting #5: cost 263 inf + 662
572.118 * * [simplify]: Extracting #6: cost 304 inf + 6374
572.143 * * [simplify]: Extracting #7: cost 144 inf + 61233
572.200 * * [simplify]: Extracting #8: cost 47 inf + 100060
572.241 * * [simplify]: Extracting #9: cost 24 inf + 118440
572.312 * * [simplify]: Extracting #10: cost 0 inf + 143055
572.414 * [simplify]: Simplified to (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))) (sqrt (sqrt (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* U U)) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))))))
572.414 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))) (sqrt (sqrt (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* U U)) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
572.416 * * * * [progress]: [ 632 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
572.416 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
572.417 * * [simplify]: iters left: 6 (49 enodes)
572.442 * * [simplify]: iters left: 5 (255 enodes)
572.530 * * [simplify]: Extracting #0: cost 1 inf + 0
572.530 * * [simplify]: Extracting #1: cost 30 inf + 0
572.531 * * [simplify]: Extracting #2: cost 59 inf + 1
572.531 * * [simplify]: Extracting #3: cost 69 inf + 2
572.531 * * [simplify]: Extracting #4: cost 100 inf + 45
572.532 * * [simplify]: Extracting #5: cost 219 inf + 437
572.533 * * [simplify]: Extracting #6: cost 299 inf + 4497
572.544 * * [simplify]: Extracting #7: cost 152 inf + 54500
572.583 * * [simplify]: Extracting #8: cost 46 inf + 99101
572.622 * * [simplify]: Extracting #9: cost 34 inf + 107242
572.671 * * [simplify]: Extracting #10: cost 13 inf + 129857
572.740 * * [simplify]: Extracting #11: cost 1 inf + 143210
572.822 * * [simplify]: Extracting #12: cost 0 inf + 143652
572.924 * * [simplify]: Extracting #13: cost 0 inf + 143223
572.997 * * [simplify]: Extracting #14: cost 0 inf + 143184
573.090 * [simplify]: Simplified to (* (/ (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* U U) (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))))
573.090 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* U U) (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (+ (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
573.091 * * * * [progress]: [ 633 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
573.091 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
573.092 * * [simplify]: iters left: 6 (51 enodes)
573.110 * * [simplify]: iters left: 5 (265 enodes)
573.212 * * [simplify]: Extracting #0: cost 1 inf + 0
573.212 * * [simplify]: Extracting #1: cost 30 inf + 0
573.212 * * [simplify]: Extracting #2: cost 59 inf + 1
573.213 * * [simplify]: Extracting #3: cost 68 inf + 44
573.213 * * [simplify]: Extracting #4: cost 101 inf + 45
573.214 * * [simplify]: Extracting #5: cost 226 inf + 765
573.218 * * [simplify]: Extracting #6: cost 289 inf + 8013
573.242 * * [simplify]: Extracting #7: cost 126 inf + 63466
573.280 * * [simplify]: Extracting #8: cost 40 inf + 100681
573.330 * * [simplify]: Extracting #9: cost 16 inf + 121093
573.417 * * [simplify]: Extracting #10: cost 1 inf + 139037
573.514 * * [simplify]: Extracting #11: cost 0 inf + 140022
573.586 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))) (/ (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) U)))))))
573.586 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))) (/ (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
573.587 * * * * [progress]: [ 634 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
573.587 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
573.588 * * [simplify]: iters left: 6 (49 enodes)
573.619 * * [simplify]: iters left: 5 (255 enodes)
573.740 * * [simplify]: Extracting #0: cost 1 inf + 0
573.740 * * [simplify]: Extracting #1: cost 30 inf + 0
573.741 * * [simplify]: Extracting #2: cost 59 inf + 1
573.741 * * [simplify]: Extracting #3: cost 69 inf + 2
573.742 * * [simplify]: Extracting #4: cost 99 inf + 45
573.743 * * [simplify]: Extracting #5: cost 219 inf + 478
573.746 * * [simplify]: Extracting #6: cost 291 inf + 7024
573.771 * * [simplify]: Extracting #7: cost 131 inf + 63094
573.823 * * [simplify]: Extracting #8: cost 43 inf + 100074
573.886 * * [simplify]: Extracting #9: cost 25 inf + 115646
573.945 * * [simplify]: Extracting #10: cost 1 inf + 140138
574.018 * * [simplify]: Extracting #11: cost 0 inf + 141364
574.113 * [simplify]: Simplified to (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (sqrt (sqrt (+ (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (+ (* (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))))))
574.113 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (sqrt (sqrt (+ (* U (* (/ (/ U (* (cos (/ K 2)) J)) 2) (+ (* (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
574.116 * * * * [progress]: [ 635 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
574.116 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
574.117 * * [simplify]: iters left: 6 (51 enodes)
574.149 * * [simplify]: iters left: 5 (265 enodes)
574.273 * * [simplify]: Extracting #0: cost 1 inf + 0
574.273 * * [simplify]: Extracting #1: cost 30 inf + 0
574.273 * * [simplify]: Extracting #2: cost 59 inf + 1
574.273 * * [simplify]: Extracting #3: cost 68 inf + 44
574.274 * * [simplify]: Extracting #4: cost 104 inf + 45
574.274 * * [simplify]: Extracting #5: cost 232 inf + 723
574.276 * * [simplify]: Extracting #6: cost 295 inf + 5958
574.302 * * [simplify]: Extracting #7: cost 134 inf + 60096
574.350 * * [simplify]: Extracting #8: cost 43 inf + 96655
574.407 * * [simplify]: Extracting #9: cost 16 inf + 119704
574.474 * * [simplify]: Extracting #10: cost 0 inf + 137193
574.555 * [simplify]: Simplified to (* (/ (sqrt (+ 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (+ 1 (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* J (* 2 (cos (/ K 2))))) (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U)))))))
574.555 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2)))))) (* (+ 1 (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* J (* 2 (cos (/ K 2))))) (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) U))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
574.556 * * * * [progress]: [ 636 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
574.556 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3))))))
574.557 * * [simplify]: iters left: 6 (49 enodes)
574.576 * * [simplify]: iters left: 5 (251 enodes)
574.681 * * [simplify]: Extracting #0: cost 1 inf + 0
574.681 * * [simplify]: Extracting #1: cost 30 inf + 0
574.681 * * [simplify]: Extracting #2: cost 59 inf + 1
574.681 * * [simplify]: Extracting #3: cost 69 inf + 2
574.682 * * [simplify]: Extracting #4: cost 99 inf + 45
574.682 * * [simplify]: Extracting #5: cost 223 inf + 335
574.684 * * [simplify]: Extracting #6: cost 287 inf + 5044
574.695 * * [simplify]: Extracting #7: cost 143 inf + 57625
574.745 * * [simplify]: Extracting #8: cost 20 inf + 117551
574.828 * * [simplify]: Extracting #9: cost 5 inf + 131524
574.898 * * [simplify]: Extracting #10: cost 0 inf + 137032
574.967 * * [simplify]: Extracting #11: cost 0 inf + 136377
575.023 * [simplify]: Simplified to (/ (/ (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (+ (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* U U)))))) -2)) (sqrt (sqrt (+ (* (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))
575.024 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (+ (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* U U)))))) -2)) (sqrt (sqrt (+ (* (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
575.026 * * * * [progress]: [ 637 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
575.026 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
575.027 * * [simplify]: iters left: 6 (49 enodes)
575.059 * * [simplify]: iters left: 5 (244 enodes)
575.166 * * [simplify]: Extracting #0: cost 1 inf + 0
575.166 * * [simplify]: Extracting #1: cost 30 inf + 0
575.166 * * [simplify]: Extracting #2: cost 59 inf + 1
575.166 * * [simplify]: Extracting #3: cost 68 inf + 44
575.167 * * [simplify]: Extracting #4: cost 102 inf + 45
575.167 * * [simplify]: Extracting #5: cost 218 inf + 580
575.169 * * [simplify]: Extracting #6: cost 277 inf + 5898
575.180 * * [simplify]: Extracting #7: cost 123 inf + 57469
575.214 * * [simplify]: Extracting #8: cost 36 inf + 94807
575.271 * * [simplify]: Extracting #9: cost 14 inf + 114574
575.326 * * [simplify]: Extracting #10: cost 0 inf + 129468
575.397 * * [simplify]: Extracting #11: cost 0 inf + 128961
575.452 * [simplify]: Simplified to (* (/ (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (- (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (/ -2 (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* U U))))))))
575.452 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (- (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (- 1 (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (/ -2 (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* U U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
575.453 * * * * [progress]: [ 638 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
575.453 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
575.454 * * [simplify]: iters left: 6 (51 enodes)
575.477 * * [simplify]: iters left: 5 (270 enodes)
575.571 * * [simplify]: Extracting #0: cost 1 inf + 0
575.571 * * [simplify]: Extracting #1: cost 30 inf + 0
575.571 * * [simplify]: Extracting #2: cost 59 inf + 1
575.571 * * [simplify]: Extracting #3: cost 69 inf + 2
575.571 * * [simplify]: Extracting #4: cost 103 inf + 45
575.572 * * [simplify]: Extracting #5: cost 242 inf + 662
575.574 * * [simplify]: Extracting #6: cost 325 inf + 5089
575.591 * * [simplify]: Extracting #7: cost 141 inf + 64701
575.640 * * [simplify]: Extracting #8: cost 48 inf + 102980
575.672 * * [simplify]: Extracting #9: cost 32 inf + 113582
575.721 * * [simplify]: Extracting #10: cost 8 inf + 138194
576.261 * * [simplify]: Extracting #11: cost 0 inf + 148440
576.341 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* J (* (cos (/ K 2)) -2))) (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (* (* U U) (* U U)) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (* (* U U) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))
576.341 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* J (* (cos (/ K 2)) -2))) (sqrt (sqrt (+ (+ (* (* U U) (* U U)) (* (* (* U U) (* U U)) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (* (* U U) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
576.342 * * * * [progress]: [ 639 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
576.342 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
576.343 * * [simplify]: iters left: 6 (44 enodes)
576.358 * * [simplify]: iters left: 5 (227 enodes)
576.485 * * [simplify]: Extracting #0: cost 1 inf + 0
576.485 * * [simplify]: Extracting #1: cost 30 inf + 0
576.485 * * [simplify]: Extracting #2: cost 59 inf + 1
576.486 * * [simplify]: Extracting #3: cost 68 inf + 44
576.486 * * [simplify]: Extracting #4: cost 91 inf + 45
576.487 * * [simplify]: Extracting #5: cost 211 inf + 663
576.490 * * [simplify]: Extracting #6: cost 291 inf + 5097
576.512 * * [simplify]: Extracting #7: cost 108 inf + 61484
576.558 * * [simplify]: Extracting #8: cost 37 inf + 92912
576.619 * * [simplify]: Extracting #9: cost 11 inf + 117178
576.695 * * [simplify]: Extracting #10: cost 0 inf + 129556
576.775 * * [simplify]: Extracting #11: cost 0 inf + 129360
576.826 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))) (/ -2 (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))))))))
576.826 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))))))) (/ -2 (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) (* (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
576.828 * * * * [progress]: [ 640 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
576.828 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
576.829 * * [simplify]: iters left: 6 (52 enodes)
576.862 * * [simplify]: iters left: 5 (273 enodes)
576.996 * * [simplify]: Extracting #0: cost 1 inf + 0
576.996 * * [simplify]: Extracting #1: cost 30 inf + 0
576.996 * * [simplify]: Extracting #2: cost 59 inf + 1
576.996 * * [simplify]: Extracting #3: cost 68 inf + 44
576.997 * * [simplify]: Extracting #4: cost 103 inf + 45
576.997 * * [simplify]: Extracting #5: cost 244 inf + 662
576.999 * * [simplify]: Extracting #6: cost 321 inf + 4452
577.012 * * [simplify]: Extracting #7: cost 144 inf + 61330
577.045 * * [simplify]: Extracting #8: cost 47 inf + 101403
577.102 * * [simplify]: Extracting #9: cost 27 inf + 116507
577.170 * * [simplify]: Extracting #10: cost 8 inf + 136673
577.246 * * [simplify]: Extracting #11: cost 0 inf + 147238
577.311 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* U U)) (* (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* U U))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))
577.312 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* U U)) (* (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* U U))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
577.313 * * * * [progress]: [ 641 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
577.313 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
577.313 * * [simplify]: iters left: 6 (45 enodes)
577.327 * * [simplify]: iters left: 5 (231 enodes)
577.445 * * [simplify]: Extracting #0: cost 1 inf + 0
577.445 * * [simplify]: Extracting #1: cost 30 inf + 0
577.445 * * [simplify]: Extracting #2: cost 59 inf + 1
577.445 * * [simplify]: Extracting #3: cost 68 inf + 44
577.446 * * [simplify]: Extracting #4: cost 91 inf + 45
577.447 * * [simplify]: Extracting #5: cost 207 inf + 478
577.450 * * [simplify]: Extracting #6: cost 280 inf + 3922
577.469 * * [simplify]: Extracting #7: cost 107 inf + 54861
577.504 * * [simplify]: Extracting #8: cost 41 inf + 80619
577.557 * * [simplify]: Extracting #9: cost 14 inf + 104262
577.604 * * [simplify]: Extracting #10: cost 3 inf + 114744
577.662 * * [simplify]: Extracting #11: cost 0 inf + 118182
577.708 * [simplify]: Simplified to (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1))) (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U))))))) (sqrt (sqrt (+ (* (* (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* U U)) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (* (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J)))))))
577.709 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1))) (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U))))))) (sqrt (sqrt (+ (* (* (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* U U)) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (* (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
577.709 * * * * [progress]: [ 642 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
577.710 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
577.710 * * [simplify]: iters left: 6 (52 enodes)
577.734 * * [simplify]: iters left: 5 (273 enodes)
577.845 * * [simplify]: Extracting #0: cost 1 inf + 0
577.845 * * [simplify]: Extracting #1: cost 30 inf + 0
577.845 * * [simplify]: Extracting #2: cost 59 inf + 1
577.845 * * [simplify]: Extracting #3: cost 69 inf + 2
577.846 * * [simplify]: Extracting #4: cost 101 inf + 45
577.847 * * [simplify]: Extracting #5: cost 246 inf + 478
577.850 * * [simplify]: Extracting #6: cost 321 inf + 5314
577.876 * * [simplify]: Extracting #7: cost 144 inf + 62856
577.914 * * [simplify]: Extracting #8: cost 49 inf + 101621
577.973 * * [simplify]: Extracting #9: cost 31 inf + 113794
578.029 * * [simplify]: Extracting #10: cost 9 inf + 136676
578.125 * * [simplify]: Extracting #11: cost 0 inf + 148227
578.187 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* U U)) (+ 1 (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))
578.187 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (* U U)) (+ 1 (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
578.189 * * * * [progress]: [ 643 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
578.189 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
578.190 * * [simplify]: iters left: 6 (45 enodes)
578.218 * * [simplify]: iters left: 5 (231 enodes)
578.295 * * [simplify]: Extracting #0: cost 1 inf + 0
578.295 * * [simplify]: Extracting #1: cost 30 inf + 0
578.295 * * [simplify]: Extracting #2: cost 59 inf + 1
578.296 * * [simplify]: Extracting #3: cost 68 inf + 44
578.296 * * [simplify]: Extracting #4: cost 91 inf + 45
578.297 * * [simplify]: Extracting #5: cost 209 inf + 377
578.300 * * [simplify]: Extracting #6: cost 279 inf + 3538
578.317 * * [simplify]: Extracting #7: cost 121 inf + 50380
578.354 * * [simplify]: Extracting #8: cost 41 inf + 81244
578.410 * * [simplify]: Extracting #9: cost 17 inf + 103693
578.468 * * [simplify]: Extracting #10: cost 0 inf + 123168
578.525 * * [simplify]: Extracting #11: cost 0 inf + 122928
578.597 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (+ (* (* (/ (/ (* U U) 2) (* (cos (/ K 2)) J)) (/ (/ (* U U) 2) (* (cos (/ K 2)) J))) (/ (/ (* U U) 2) (* (cos (/ K 2)) J))) (* (/ (/ (* U U) 2) (* (cos (/ K 2)) J)) (* U U))) (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (+ (* (* U U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* U U) 1)))))))
578.598 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (+ (* (* (/ (/ (* U U) 2) (* (cos (/ K 2)) J)) (/ (/ (* U U) 2) (* (cos (/ K 2)) J))) (/ (/ (* U U) 2) (* (cos (/ K 2)) J))) (* (/ (/ (* U U) 2) (* (cos (/ K 2)) J)) (* U U))) (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (+ (* (* U U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* U U) 1))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
578.599 * * * * [progress]: [ 644 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
578.600 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
578.601 * * [simplify]: iters left: 6 (52 enodes)
578.637 * * [simplify]: iters left: 5 (274 enodes)
578.754 * * [simplify]: Extracting #0: cost 1 inf + 0
578.754 * * [simplify]: Extracting #1: cost 30 inf + 0
578.755 * * [simplify]: Extracting #2: cost 59 inf + 1
578.755 * * [simplify]: Extracting #3: cost 68 inf + 44
578.756 * * [simplify]: Extracting #4: cost 103 inf + 45
578.757 * * [simplify]: Extracting #5: cost 259 inf + 335
578.761 * * [simplify]: Extracting #6: cost 334 inf + 7688
578.777 * * [simplify]: Extracting #7: cost 199 inf + 47650
578.823 * * [simplify]: Extracting #8: cost 66 inf + 102142
578.883 * * [simplify]: Extracting #9: cost 31 inf + 122138
578.972 * * [simplify]: Extracting #10: cost 7 inf + 148433
579.068 * * [simplify]: Extracting #11: cost 0 inf + 157572
579.164 * * [simplify]: Extracting #12: cost 0 inf + 157012
579.261 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* 2 (* (cos (/ K 2)) J))) (* (* (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* U (* (/ (/ (/ U 2) (cos (/ K 2))) J) U))) U)))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))))))
579.261 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* 2 (* (cos (/ K 2)) J))) (* (* (+ (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* U (* (/ (/ (/ U 2) (cos (/ K 2))) J) U))) U)))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
579.263 * * * * [progress]: [ 645 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
579.263 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
579.264 * * [simplify]: iters left: 6 (45 enodes)
579.281 * * [simplify]: iters left: 5 (232 enodes)
579.355 * * [simplify]: Extracting #0: cost 1 inf + 0
579.356 * * [simplify]: Extracting #1: cost 30 inf + 0
579.356 * * [simplify]: Extracting #2: cost 59 inf + 1
579.356 * * [simplify]: Extracting #3: cost 69 inf + 2
579.357 * * [simplify]: Extracting #4: cost 89 inf + 45
579.358 * * [simplify]: Extracting #5: cost 208 inf + 479
579.360 * * [simplify]: Extracting #6: cost 294 inf + 2076
579.375 * * [simplify]: Extracting #7: cost 155 inf + 43897
579.415 * * [simplify]: Extracting #8: cost 37 inf + 91319
579.464 * * [simplify]: Extracting #9: cost 29 inf + 96203
579.520 * * [simplify]: Extracting #10: cost 13 inf + 112531
579.558 * * [simplify]: Extracting #11: cost 0 inf + 128143
579.620 * [simplify]: Simplified to (/ (/ (* (* -2 (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (+ (* (* (* (/ (/ U J) (cos (/ K 2))) (/ U 2)) (* (/ (/ U J) (cos (/ K 2))) (/ U 2))) (* (/ (/ U J) (cos (/ K 2))) (/ U 2))) (* (* (/ (/ U J) (cos (/ K 2))) (/ U 2)) (* U U))) (* (* (- 1 (* (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))))))) (sqrt (sqrt (+ (* (- 1 (* (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* U (+ (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) 1)))))))
579.620 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* -2 (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (+ (* (* (* (/ (/ U J) (cos (/ K 2))) (/ U 2)) (* (/ (/ U J) (cos (/ K 2))) (/ U 2))) (* (/ (/ U J) (cos (/ K 2))) (/ U 2))) (* (* (/ (/ U J) (cos (/ K 2))) (/ U 2)) (* U U))) (* (* (- 1 (* (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))))))) (sqrt (sqrt (+ (* (- 1 (* (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (* U (+ (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) 1))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
579.621 * * * * [progress]: [ 646 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
579.621 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
579.622 * * [simplify]: iters left: 6 (51 enodes)
579.637 * * [simplify]: iters left: 5 (258 enodes)
579.749 * * [simplify]: Extracting #0: cost 1 inf + 0
579.749 * * [simplify]: Extracting #1: cost 30 inf + 0
579.749 * * [simplify]: Extracting #2: cost 59 inf + 1
579.750 * * [simplify]: Extracting #3: cost 69 inf + 2
579.750 * * [simplify]: Extracting #4: cost 103 inf + 45
579.751 * * [simplify]: Extracting #5: cost 244 inf + 478
579.754 * * [simplify]: Extracting #6: cost 320 inf + 4835
579.774 * * [simplify]: Extracting #7: cost 148 inf + 60773
579.798 * * [simplify]: Extracting #8: cost 49 inf + 102253
579.849 * * [simplify]: Extracting #9: cost 29 inf + 115396
579.904 * * [simplify]: Extracting #10: cost 5 inf + 140172
579.980 * * [simplify]: Extracting #11: cost 0 inf + 146739
580.057 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (/ (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))))))
580.057 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))) (/ (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
580.058 * * * * [progress]: [ 647 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
580.059 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
580.060 * * [simplify]: iters left: 6 (43 enodes)
580.086 * * [simplify]: iters left: 5 (203 enodes)
580.162 * * [simplify]: Extracting #0: cost 1 inf + 0
580.162 * * [simplify]: Extracting #1: cost 24 inf + 0
580.162 * * [simplify]: Extracting #2: cost 51 inf + 1
580.163 * * [simplify]: Extracting #3: cost 60 inf + 2
580.163 * * [simplify]: Extracting #4: cost 115 inf + 45
580.164 * * [simplify]: Extracting #5: cost 249 inf + 847
580.169 * * [simplify]: Extracting #6: cost 198 inf + 14113
580.185 * * [simplify]: Extracting #7: cost 73 inf + 54300
580.216 * * [simplify]: Extracting #8: cost 27 inf + 78078
580.263 * * [simplify]: Extracting #9: cost 5 inf + 99202
580.306 * * [simplify]: Extracting #10: cost 0 inf + 100690
580.347 * * [simplify]: Extracting #11: cost 0 inf + 99570
580.378 * [simplify]: Simplified to (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* (cos (/ K 2)) (* (* 2 J) (* (cos (/ K 2)) (* (* 2 J) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))) -2) (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))))
580.378 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* U U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* (cos (/ K 2)) (* (* 2 J) (* (cos (/ K 2)) (* (* 2 J) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))) -2) (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
580.379 * * * * [progress]: [ 648 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
580.379 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
580.380 * * [simplify]: iters left: 6 (52 enodes)
580.405 * * [simplify]: iters left: 5 (267 enodes)
580.507 * * [simplify]: Extracting #0: cost 1 inf + 0
580.507 * * [simplify]: Extracting #1: cost 30 inf + 0
580.508 * * [simplify]: Extracting #2: cost 59 inf + 1
580.508 * * [simplify]: Extracting #3: cost 69 inf + 2
580.508 * * [simplify]: Extracting #4: cost 109 inf + 45
580.510 * * [simplify]: Extracting #5: cost 253 inf + 704
580.517 * * [simplify]: Extracting #6: cost 311 inf + 4110
580.538 * * [simplify]: Extracting #7: cost 152 inf + 56425
580.586 * * [simplify]: Extracting #8: cost 48 inf + 99387
580.633 * * [simplify]: Extracting #9: cost 21 inf + 119910
580.698 * * [simplify]: Extracting #10: cost 1 inf + 140984
580.768 * * [simplify]: Extracting #11: cost 0 inf + 142330
580.861 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))
580.861 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
580.863 * * * * [progress]: [ 649 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
580.863 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
580.864 * * [simplify]: iters left: 6 (44 enodes)
580.890 * * [simplify]: iters left: 5 (219 enodes)
580.966 * * [simplify]: Extracting #0: cost 1 inf + 0
580.966 * * [simplify]: Extracting #1: cost 25 inf + 0
580.966 * * [simplify]: Extracting #2: cost 52 inf + 1
580.967 * * [simplify]: Extracting #3: cost 60 inf + 2
580.967 * * [simplify]: Extracting #4: cost 79 inf + 45
580.968 * * [simplify]: Extracting #5: cost 178 inf + 621
580.970 * * [simplify]: Extracting #6: cost 233 inf + 4070
580.983 * * [simplify]: Extracting #7: cost 100 inf + 45183
581.000 * * [simplify]: Extracting #8: cost 37 inf + 68946
581.035 * * [simplify]: Extracting #9: cost 22 inf + 79966
581.081 * * [simplify]: Extracting #10: cost 3 inf + 96694
581.145 * * [simplify]: Extracting #11: cost 0 inf + 99810
581.208 * [simplify]: Simplified to (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (sqrt (+ (* (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) U) (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)))))) (/ -2 (sqrt (sqrt (+ (* (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) U) (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)))))))) (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1))))
581.208 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (sqrt (+ (* (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) U) (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)))))) (/ -2 (sqrt (sqrt (+ (* (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) U) (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)))))))) (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
581.209 * * * * [progress]: [ 650 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
581.210 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
581.211 * * [simplify]: iters left: 6 (52 enodes)
581.245 * * [simplify]: iters left: 5 (273 enodes)
581.367 * * [simplify]: Extracting #0: cost 1 inf + 0
581.367 * * [simplify]: Extracting #1: cost 30 inf + 0
581.368 * * [simplify]: Extracting #2: cost 59 inf + 1
581.368 * * [simplify]: Extracting #3: cost 69 inf + 2
581.368 * * [simplify]: Extracting #4: cost 99 inf + 45
581.370 * * [simplify]: Extracting #5: cost 247 inf + 520
581.373 * * [simplify]: Extracting #6: cost 316 inf + 6459
581.395 * * [simplify]: Extracting #7: cost 137 inf + 63699
581.419 * * [simplify]: Extracting #8: cost 54 inf + 97770
581.454 * * [simplify]: Extracting #9: cost 32 inf + 110000
581.505 * * [simplify]: Extracting #10: cost 10 inf + 130482
581.569 * * [simplify]: Extracting #11: cost 0 inf + 142859
581.650 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* 2 (* (cos (/ K 2)) J))) (* (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J))) (+ (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))))))
581.650 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))))) (* 2 (* (cos (/ K 2)) J))) (* (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J))) (+ (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
581.652 * * * * [progress]: [ 651 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
581.653 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
581.654 * * [simplify]: iters left: 6 (45 enodes)
581.682 * * [simplify]: iters left: 5 (231 enodes)
581.776 * * [simplify]: Extracting #0: cost 1 inf + 0
581.776 * * [simplify]: Extracting #1: cost 30 inf + 0
581.777 * * [simplify]: Extracting #2: cost 59 inf + 1
581.777 * * [simplify]: Extracting #3: cost 69 inf + 2
581.778 * * [simplify]: Extracting #4: cost 90 inf + 45
581.779 * * [simplify]: Extracting #5: cost 207 inf + 377
581.781 * * [simplify]: Extracting #6: cost 287 inf + 1848
581.789 * * [simplify]: Extracting #7: cost 201 inf + 22032
581.820 * * [simplify]: Extracting #8: cost 73 inf + 77351
581.861 * * [simplify]: Extracting #9: cost 8 inf + 123229
581.913 * * [simplify]: Extracting #10: cost 0 inf + 130472
581.966 * * [simplify]: Extracting #11: cost 0 inf + 129272
582.021 * [simplify]: Simplified to (/ (/ (* (* (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (+ (* (* (/ U (* 2 (cos (/ K 2)))) (/ U J)) (* U U)) (* (* (* (/ U (* 2 (cos (/ K 2)))) (/ U J)) (* (/ U (* 2 (cos (/ K 2)))) (/ U J))) (* (/ U (* 2 (cos (/ K 2)))) (/ U J)))) (* (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (+ (* 1 (* U U)) (* (* (/ U (* 2 (cos (/ K 2)))) (/ U J)) (* (/ U (* 2 (cos (/ K 2)))) (/ U J)))))))))
582.021 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (sqrt (+ (* (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (+ (* (* (/ U (* 2 (cos (/ K 2)))) (/ U J)) (* U U)) (* (* (* (/ U (* 2 (cos (/ K 2)))) (/ U J)) (* (/ U (* 2 (cos (/ K 2)))) (/ U J))) (* (/ U (* 2 (cos (/ K 2)))) (/ U J)))) (* (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* 2 (* (cos (/ K 2)) J))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (+ (* 1 (* U U)) (* (* (/ U (* 2 (cos (/ K 2)))) (/ U J)) (* (/ U (* 2 (cos (/ K 2)))) (/ U J))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
582.023 * * * * [progress]: [ 652 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
582.023 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
582.023 * * [simplify]: iters left: 6 (52 enodes)
582.041 * * [simplify]: iters left: 5 (267 enodes)
582.140 * * [simplify]: Extracting #0: cost 1 inf + 0
582.140 * * [simplify]: Extracting #1: cost 30 inf + 0
582.140 * * [simplify]: Extracting #2: cost 59 inf + 1
582.141 * * [simplify]: Extracting #3: cost 68 inf + 44
582.141 * * [simplify]: Extracting #4: cost 109 inf + 45
582.142 * * [simplify]: Extracting #5: cost 255 inf + 949
582.144 * * [simplify]: Extracting #6: cost 315 inf + 4682
582.165 * * [simplify]: Extracting #7: cost 163 inf + 56153
582.213 * * [simplify]: Extracting #8: cost 51 inf + 102896
582.268 * * [simplify]: Extracting #9: cost 32 inf + 115574
582.316 * * [simplify]: Extracting #10: cost 20 inf + 127199
582.407 * * [simplify]: Extracting #11: cost 2 inf + 148142
582.480 * * [simplify]: Extracting #12: cost 0 inf + 151072
582.576 * [simplify]: Simplified to (/ (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (/ U (/ (* 2 (* (cos (/ K 2)) J)) U)) (/ U (/ (* 2 (* (cos (/ K 2)) J)) U))) (+ (/ (* (/ U (/ (* 2 (* (cos (/ K 2)) J)) U)) (* (/ U (/ (* 2 (* (cos (/ K 2)) J)) U)) (/ U (/ (* 2 (* (cos (/ K 2)) J)) U)))) (* 2 (* (cos (/ K 2)) J))) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* U (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))
582.576 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (/ U (/ (* 2 (* (cos (/ K 2)) J)) U)) (/ U (/ (* 2 (* (cos (/ K 2)) J)) U))) (+ (/ (* (/ U (/ (* 2 (* (cos (/ K 2)) J)) U)) (* (/ U (/ (* 2 (* (cos (/ K 2)) J)) U)) (/ U (/ (* 2 (* (cos (/ K 2)) J)) U)))) (* 2 (* (cos (/ K 2)) J))) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* U (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (+ (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
582.578 * * * * [progress]: [ 653 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
582.578 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
582.579 * * [simplify]: iters left: 6 (44 enodes)
582.606 * * [simplify]: iters left: 5 (219 enodes)
582.681 * * [simplify]: Extracting #0: cost 1 inf + 0
582.681 * * [simplify]: Extracting #1: cost 25 inf + 0
582.681 * * [simplify]: Extracting #2: cost 52 inf + 1
582.681 * * [simplify]: Extracting #3: cost 60 inf + 2
582.681 * * [simplify]: Extracting #4: cost 79 inf + 45
582.682 * * [simplify]: Extracting #5: cost 178 inf + 847
582.683 * * [simplify]: Extracting #6: cost 238 inf + 4595
582.695 * * [simplify]: Extracting #7: cost 103 inf + 46440
582.731 * * [simplify]: Extracting #8: cost 22 inf + 83378
582.761 * * [simplify]: Extracting #9: cost 5 inf + 97373
582.824 * * [simplify]: Extracting #10: cost 0 inf + 102100
582.866 * [simplify]: Simplified to (/ (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (/ (/ (sqrt (sqrt (+ (* (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) U) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)))))) (/ -2 (sqrt (sqrt (+ (* (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) U) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)))))))) (* (cos (/ K 2)) J)))
582.866 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (/ (/ (sqrt (sqrt (+ (* (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) U) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)))))) (/ -2 (sqrt (sqrt (+ (* (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) U) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J)))))))) (* (cos (/ K 2)) J))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
582.867 * * * * [progress]: [ 654 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
582.867 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
582.868 * * [simplify]: iters left: 6 (51 enodes)
582.884 * * [simplify]: iters left: 5 (267 enodes)
582.958 * * [simplify]: Extracting #0: cost 1 inf + 0
582.959 * * [simplify]: Extracting #1: cost 30 inf + 0
582.959 * * [simplify]: Extracting #2: cost 59 inf + 1
582.959 * * [simplify]: Extracting #3: cost 68 inf + 44
582.960 * * [simplify]: Extracting #4: cost 108 inf + 45
582.962 * * [simplify]: Extracting #5: cost 282 inf + 847
582.965 * * [simplify]: Extracting #6: cost 344 inf + 4154
582.983 * * [simplify]: Extracting #7: cost 217 inf + 46102
583.042 * * [simplify]: Extracting #8: cost 53 inf + 118094
583.101 * * [simplify]: Extracting #9: cost 23 inf + 136679
583.177 * * [simplify]: Extracting #10: cost 1 inf + 160002
583.255 * * [simplify]: Extracting #11: cost 0 inf + 160788
583.333 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) U))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))
583.333 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) U))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
583.334 * * * * [progress]: [ 655 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
583.335 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
583.335 * * [simplify]: iters left: 6 (43 enodes)
583.349 * * [simplify]: iters left: 5 (220 enodes)
583.417 * * [simplify]: Extracting #0: cost 1 inf + 0
583.417 * * [simplify]: Extracting #1: cost 24 inf + 0
583.417 * * [simplify]: Extracting #2: cost 51 inf + 1
583.418 * * [simplify]: Extracting #3: cost 59 inf + 44
583.418 * * [simplify]: Extracting #4: cost 122 inf + 45
583.420 * * [simplify]: Extracting #5: cost 268 inf + 377
583.424 * * [simplify]: Extracting #6: cost 207 inf + 14347
583.444 * * [simplify]: Extracting #7: cost 83 inf + 54211
583.474 * * [simplify]: Extracting #8: cost 17 inf + 89635
583.523 * * [simplify]: Extracting #9: cost 0 inf + 102365
583.583 * * [simplify]: Extracting #10: cost 0 inf + 100565
583.631 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (+ (* (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* U U)) (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))
583.632 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1)) (* (* (cos (/ K 2)) J) -2)) (sqrt (+ (* (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* U U)) (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
583.632 * * * * [progress]: [ 656 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
583.633 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
583.633 * * [simplify]: iters left: 6 (49 enodes)
583.649 * * [simplify]: iters left: 5 (256 enodes)
583.748 * * [simplify]: Extracting #0: cost 1 inf + 0
583.748 * * [simplify]: Extracting #1: cost 30 inf + 0
583.749 * * [simplify]: Extracting #2: cost 59 inf + 1
583.749 * * [simplify]: Extracting #3: cost 69 inf + 2
583.749 * * [simplify]: Extracting #4: cost 103 inf + 45
583.751 * * [simplify]: Extracting #5: cost 237 inf + 478
583.754 * * [simplify]: Extracting #6: cost 308 inf + 4584
583.771 * * [simplify]: Extracting #7: cost 171 inf + 47296
583.818 * * [simplify]: Extracting #8: cost 61 inf + 92499
583.883 * * [simplify]: Extracting #9: cost 19 inf + 120759
583.953 * * [simplify]: Extracting #10: cost 2 inf + 138874
584.023 * * [simplify]: Extracting #11: cost 0 inf + 140726
584.105 * * [simplify]: Extracting #12: cost 0 inf + 140646
584.175 * [simplify]: Simplified to (/ (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) -2)) (sqrt (sqrt (+ (* (* (* U U) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))))))
584.175 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))) -2)) (sqrt (sqrt (+ (* (* (* U U) (+ (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
584.177 * * * * [progress]: [ 657 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
584.177 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
584.178 * * [simplify]: iters left: 6 (37 enodes)
584.200 * * [simplify]: iters left: 5 (184 enodes)
584.294 * * [simplify]: Extracting #0: cost 1 inf + 0
584.295 * * [simplify]: Extracting #1: cost 24 inf + 0
584.295 * * [simplify]: Extracting #2: cost 51 inf + 1
584.295 * * [simplify]: Extracting #3: cost 59 inf + 44
584.295 * * [simplify]: Extracting #4: cost 115 inf + 45
584.296 * * [simplify]: Extracting #5: cost 241 inf + 806
584.298 * * [simplify]: Extracting #6: cost 206 inf + 9749
584.308 * * [simplify]: Extracting #7: cost 69 inf + 52805
584.325 * * [simplify]: Extracting #8: cost 31 inf + 68663
584.369 * * [simplify]: Extracting #9: cost 10 inf + 86917
584.427 * * [simplify]: Extracting #10: cost 2 inf + 93923
584.457 * * [simplify]: Extracting #11: cost 0 inf + 95495
584.513 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* J (* 2 (cos (/ K 2))))) (* J (* 2 (cos (/ K 2))))) (* (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) U)))) -2)
584.513 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1)) (* (cos (/ K 2)) J)) (sqrt (+ (* (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* J (* 2 (cos (/ K 2))))) (* J (* 2 (cos (/ K 2))))) (* (* (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) 1) (* U (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) U)))) -2) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
584.514 * * * * [progress]: [ 658 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
584.514 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
584.515 * * [simplify]: iters left: 6 (51 enodes)
584.547 * * [simplify]: iters left: 5 (267 enodes)
584.649 * * [simplify]: Extracting #0: cost 1 inf + 0
584.649 * * [simplify]: Extracting #1: cost 30 inf + 0
584.649 * * [simplify]: Extracting #2: cost 59 inf + 1
584.649 * * [simplify]: Extracting #3: cost 69 inf + 2
584.650 * * [simplify]: Extracting #4: cost 101 inf + 45
584.650 * * [simplify]: Extracting #5: cost 227 inf + 806
584.652 * * [simplify]: Extracting #6: cost 314 inf + 5876
584.681 * * [simplify]: Extracting #7: cost 123 inf + 71164
584.715 * * [simplify]: Extracting #8: cost 40 inf + 105959
584.776 * * [simplify]: Extracting #9: cost 25 inf + 118021
584.839 * * [simplify]: Extracting #10: cost 3 inf + 139382
584.901 * * [simplify]: Extracting #11: cost 0 inf + 143020
584.972 * [simplify]: Simplified to (/ (/ (* (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (+ (* U (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))
584.972 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) -2) (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J))) (+ (* U (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* U (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
584.974 * * * * [progress]: [ 659 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
584.974 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
584.975 * * [simplify]: iters left: 6 (44 enodes)
585.002 * * [simplify]: iters left: 5 (225 enodes)
585.095 * * [simplify]: Extracting #0: cost 1 inf + 0
585.095 * * [simplify]: Extracting #1: cost 30 inf + 0
585.095 * * [simplify]: Extracting #2: cost 59 inf + 1
585.095 * * [simplify]: Extracting #3: cost 68 inf + 44
585.096 * * [simplify]: Extracting #4: cost 90 inf + 45
585.096 * * [simplify]: Extracting #5: cost 203 inf + 561
585.098 * * [simplify]: Extracting #6: cost 265 inf + 5669
585.108 * * [simplify]: Extracting #7: cost 119 inf + 50658
585.153 * * [simplify]: Extracting #8: cost 36 inf + 87238
585.192 * * [simplify]: Extracting #9: cost 8 inf + 115193
585.260 * * [simplify]: Extracting #10: cost 0 inf + 121398
585.319 * * [simplify]: Extracting #11: cost 0 inf + 121078
585.367 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* U U))))))) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (cos (/ K 2))) (* 2 J)) (* (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)))))))
585.367 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* U U))))))) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (cos (/ K 2))) (* 2 J)) (* (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
585.369 * * * * [progress]: [ 660 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
585.369 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
585.370 * * [simplify]: iters left: 6 (51 enodes)
585.402 * * [simplify]: iters left: 5 (267 enodes)
585.513 * * [simplify]: Extracting #0: cost 1 inf + 0
585.514 * * [simplify]: Extracting #1: cost 30 inf + 0
585.514 * * [simplify]: Extracting #2: cost 59 inf + 1
585.514 * * [simplify]: Extracting #3: cost 68 inf + 44
585.515 * * [simplify]: Extracting #4: cost 101 inf + 45
585.516 * * [simplify]: Extracting #5: cost 225 inf + 806
585.519 * * [simplify]: Extracting #6: cost 305 inf + 6001
585.535 * * [simplify]: Extracting #7: cost 133 inf + 63630
585.566 * * [simplify]: Extracting #8: cost 47 inf + 97851
585.627 * * [simplify]: Extracting #9: cost 36 inf + 104447
585.672 * * [simplify]: Extracting #10: cost 19 inf + 119642
585.761 * * [simplify]: Extracting #11: cost 0 inf + 140367
585.832 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J)) 2) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))
585.832 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J)) 2) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
585.834 * * * * [progress]: [ 661 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
585.835 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
585.836 * * [simplify]: iters left: 6 (44 enodes)
585.864 * * [simplify]: iters left: 5 (225 enodes)
585.958 * * [simplify]: Extracting #0: cost 1 inf + 0
585.958 * * [simplify]: Extracting #1: cost 30 inf + 0
585.959 * * [simplify]: Extracting #2: cost 59 inf + 1
585.959 * * [simplify]: Extracting #3: cost 68 inf + 44
585.959 * * [simplify]: Extracting #4: cost 90 inf + 45
585.960 * * [simplify]: Extracting #5: cost 204 inf + 520
585.963 * * [simplify]: Extracting #6: cost 268 inf + 4046
585.982 * * [simplify]: Extracting #7: cost 117 inf + 49076
586.003 * * [simplify]: Extracting #8: cost 46 inf + 76912
586.043 * * [simplify]: Extracting #9: cost 19 inf + 97713
586.099 * * [simplify]: Extracting #10: cost 5 inf + 113992
586.172 * * [simplify]: Extracting #11: cost 0 inf + 120481
586.235 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1) (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) U) (* (/ (/ (/ U (cos (/ K 2))) J) 2) U))))))) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)))) (* (cos (/ K 2)) J)) 2) (+ (* (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) U) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) U) (/ (/ (/ U (cos (/ K 2))) J) 2)))))))))
586.235 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1) (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) U) (* (/ (/ (/ U (cos (/ K 2))) J) 2) U))))))) (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)))) (* (cos (/ K 2)) J)) 2) (+ (* (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) U) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) U) (/ (/ (/ U (cos (/ K 2))) J) 2))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
586.236 * * * * [progress]: [ 662 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
586.236 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
586.236 * * [simplify]: iters left: 6 (50 enodes)
586.258 * * [simplify]: iters left: 5 (265 enodes)
586.371 * * [simplify]: Extracting #0: cost 1 inf + 0
586.371 * * [simplify]: Extracting #1: cost 30 inf + 0
586.371 * * [simplify]: Extracting #2: cost 59 inf + 1
586.371 * * [simplify]: Extracting #3: cost 69 inf + 2
586.372 * * [simplify]: Extracting #4: cost 109 inf + 45
586.372 * * [simplify]: Extracting #5: cost 272 inf + 621
586.374 * * [simplify]: Extracting #6: cost 326 inf + 5460
586.390 * * [simplify]: Extracting #7: cost 194 inf + 47025
586.421 * * [simplify]: Extracting #8: cost 55 inf + 104014
586.468 * * [simplify]: Extracting #9: cost 31 inf + 118401
586.548 * * [simplify]: Extracting #10: cost 2 inf + 146852
586.624 * * [simplify]: Extracting #11: cost 0 inf + 149026
586.700 * [simplify]: Simplified to (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* U U) (+ (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* U U) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))
586.700 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* U U) (+ (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* U U) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
586.702 * * * * [progress]: [ 663 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
586.703 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
586.703 * * [simplify]: iters left: 6 (42 enodes)
586.729 * * [simplify]: iters left: 5 (218 enodes)
586.866 * * [simplify]: Extracting #0: cost 1 inf + 0
586.866 * * [simplify]: Extracting #1: cost 25 inf + 0
586.866 * * [simplify]: Extracting #2: cost 52 inf + 1
586.866 * * [simplify]: Extracting #3: cost 60 inf + 2
586.867 * * [simplify]: Extracting #4: cost 78 inf + 45
586.867 * * [simplify]: Extracting #5: cost 180 inf + 1133
586.868 * * [simplify]: Extracting #6: cost 246 inf + 3436
586.877 * * [simplify]: Extracting #7: cost 119 inf + 44734
586.898 * * [simplify]: Extracting #8: cost 39 inf + 73339
586.943 * * [simplify]: Extracting #9: cost 12 inf + 92904
586.977 * * [simplify]: Extracting #10: cost 2 inf + 101159
587.028 * * [simplify]: Extracting #11: cost 0 inf + 102731
587.071 * * [simplify]: Extracting #12: cost 0 inf + 102651
587.133 * [simplify]: Simplified to (/ (/ (* (* (cos (/ K 2)) (* J -2)) (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (- 1 (* (/ (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)) (/ (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (+ (* (/ (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)) (/ (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J))) (/ (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J))) (* U U)))))) (sqrt (sqrt (+ (* (- 1 (* (/ (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)) (/ (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (+ (* (/ (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)) (/ (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J))) (/ (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J))) (* U U))))))
587.133 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (cos (/ K 2)) (* J -2)) (sqrt (+ (* (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (- 1 (* (/ (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)) (/ (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (+ (* (/ (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)) (/ (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J))) (/ (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J))) (* U U)))))) (sqrt (sqrt (+ (* (- 1 (* (/ (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)) (/ (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)))) (* (* (* 2 (cos (/ K 2))) J) (* (* 2 (cos (/ K 2))) J))) (* (+ (* (/ (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J)) (/ (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J))) (/ (/ (* U U) (* (* 2 (cos (/ K 2))) J)) (* (* 2 (cos (/ K 2))) J))) (* U U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
587.134 * * * * [progress]: [ 664 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
587.135 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
587.136 * * [simplify]: iters left: 6 (51 enodes)
587.156 * * [simplify]: iters left: 5 (267 enodes)
587.268 * * [simplify]: Extracting #0: cost 1 inf + 0
587.269 * * [simplify]: Extracting #1: cost 30 inf + 0
587.269 * * [simplify]: Extracting #2: cost 59 inf + 1
587.269 * * [simplify]: Extracting #3: cost 69 inf + 2
587.270 * * [simplify]: Extracting #4: cost 102 inf + 45
587.271 * * [simplify]: Extracting #5: cost 225 inf + 949
587.274 * * [simplify]: Extracting #6: cost 310 inf + 4720
587.295 * * [simplify]: Extracting #7: cost 129 inf + 63752
587.328 * * [simplify]: Extracting #8: cost 49 inf + 96378
587.394 * * [simplify]: Extracting #9: cost 21 inf + 117480
587.487 * * [simplify]: Extracting #10: cost 1 inf + 139512
587.542 * * [simplify]: Extracting #11: cost 0 inf + 140938
587.643 * [simplify]: Simplified to (/ -2 (/ (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J)) 2) (+ (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J))))
587.643 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ -2 (/ (* (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J)) 2) (+ (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* U (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
587.645 * * * * [progress]: [ 665 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
587.645 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
587.646 * * [simplify]: iters left: 6 (44 enodes)
587.659 * * [simplify]: iters left: 5 (225 enodes)
587.753 * * [simplify]: Extracting #0: cost 1 inf + 0
587.753 * * [simplify]: Extracting #1: cost 30 inf + 0
587.753 * * [simplify]: Extracting #2: cost 59 inf + 1
587.754 * * [simplify]: Extracting #3: cost 69 inf + 2
587.754 * * [simplify]: Extracting #4: cost 90 inf + 45
587.755 * * [simplify]: Extracting #5: cost 201 inf + 561
587.758 * * [simplify]: Extracting #6: cost 259 inf + 4594
587.775 * * [simplify]: Extracting #7: cost 115 inf + 48391
587.798 * * [simplify]: Extracting #8: cost 42 inf + 77639
587.832 * * [simplify]: Extracting #9: cost 20 inf + 95354
587.907 * * [simplify]: Extracting #10: cost 4 inf + 112405
587.986 * * [simplify]: Extracting #11: cost 0 inf + 116988
588.045 * * [simplify]: Extracting #12: cost 0 inf + 116828
588.093 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (* U U) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (cos (/ K 2))) (* 2 J)) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) U) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) U))))))))
588.093 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (* U U) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (cos (/ K 2))) (* 2 J)) (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) U) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) U)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
588.094 * * * * [progress]: [ 666 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
588.094 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
588.095 * * [simplify]: iters left: 6 (51 enodes)
588.125 * * [simplify]: iters left: 5 (267 enodes)
588.218 * * [simplify]: Extracting #0: cost 1 inf + 0
588.218 * * [simplify]: Extracting #1: cost 30 inf + 0
588.218 * * [simplify]: Extracting #2: cost 59 inf + 1
588.218 * * [simplify]: Extracting #3: cost 69 inf + 2
588.219 * * [simplify]: Extracting #4: cost 104 inf + 45
588.219 * * [simplify]: Extracting #5: cost 230 inf + 764
588.221 * * [simplify]: Extracting #6: cost 312 inf + 4558
588.240 * * [simplify]: Extracting #7: cost 144 inf + 60838
588.266 * * [simplify]: Extracting #8: cost 48 inf + 98896
588.327 * * [simplify]: Extracting #9: cost 36 inf + 106879
588.382 * * [simplify]: Extracting #10: cost 16 inf + 125588
588.456 * * [simplify]: Extracting #11: cost 0 inf + 143678
588.531 * [simplify]: Simplified to (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1))) (sqrt (sqrt (+ (* (* 2 (cos (/ K 2))) (* J (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (+ (* (* U (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* U (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))
588.531 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) 1))) (sqrt (sqrt (+ (* (* 2 (cos (/ K 2))) (* J (- 1 (* (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (+ (* (* U (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (* U (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* U U) (+ (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
588.533 * * * * [progress]: [ 667 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
588.534 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* 2 (* (cos (/ K 2)) J)) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
588.534 * * [simplify]: iters left: 6 (44 enodes)
588.555 * * [simplify]: iters left: 5 (225 enodes)
588.648 * * [simplify]: Extracting #0: cost 1 inf + 0
588.648 * * [simplify]: Extracting #1: cost 30 inf + 0
588.648 * * [simplify]: Extracting #2: cost 59 inf + 1
588.649 * * [simplify]: Extracting #3: cost 69 inf + 2
588.649 * * [simplify]: Extracting #4: cost 92 inf + 45
588.650 * * [simplify]: Extracting #5: cost 205 inf + 520
588.653 * * [simplify]: Extracting #6: cost 260 inf + 5540
588.676 * * [simplify]: Extracting #7: cost 111 inf + 53414
588.717 * * [simplify]: Extracting #8: cost 33 inf + 86690
588.770 * * [simplify]: Extracting #9: cost 12 inf + 104902
588.814 * * [simplify]: Extracting #10: cost 1 inf + 116266
588.891 * * [simplify]: Extracting #11: cost 0 inf + 117532
588.969 * [simplify]: Simplified to (/ (* (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* 2 (* (cos (/ K 2)) J))) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (/ (* U (/ U (* (cos (/ K 2)) J))) 2))))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (* U U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))
588.969 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* 2 (* (cos (/ K 2)) J))) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (/ (* U (/ U (* (cos (/ K 2)) J))) 2))))))) (sqrt (sqrt (+ (* (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (* (* U U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
588.971 * * * * [progress]: [ 668 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
588.971 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (+ (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 3) (pow (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 3))))))
588.972 * * [simplify]: iters left: 6 (45 enodes)
589.000 * * [simplify]: iters left: 5 (227 enodes)
589.091 * * [simplify]: Extracting #0: cost 1 inf + 0
589.091 * * [simplify]: Extracting #1: cost 30 inf + 0
589.091 * * [simplify]: Extracting #2: cost 59 inf + 1
589.092 * * [simplify]: Extracting #3: cost 69 inf + 2
589.092 * * [simplify]: Extracting #4: cost 94 inf + 45
589.092 * * [simplify]: Extracting #5: cost 212 inf + 520
589.094 * * [simplify]: Extracting #6: cost 271 inf + 4499
589.103 * * [simplify]: Extracting #7: cost 125 inf + 49863
589.122 * * [simplify]: Extracting #8: cost 45 inf + 80296
589.172 * * [simplify]: Extracting #9: cost 21 inf + 98413
589.245 * * [simplify]: Extracting #10: cost 2 inf + 118621
589.287 * * [simplify]: Extracting #11: cost 0 inf + 120873
589.342 * [simplify]: Simplified to (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))) (/ -2 (sqrt (sqrt (+ (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))
589.342 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))) (/ -2 (sqrt (sqrt (+ (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (- (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
589.343 * * * * [progress]: [ 669 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
589.343 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (- (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
589.344 * * [simplify]: iters left: 6 (44 enodes)
589.358 * * [simplify]: iters left: 5 (227 enodes)
589.457 * * [simplify]: Extracting #0: cost 1 inf + 0
589.457 * * [simplify]: Extracting #1: cost 30 inf + 0
589.457 * * [simplify]: Extracting #2: cost 59 inf + 1
589.457 * * [simplify]: Extracting #3: cost 69 inf + 2
589.457 * * [simplify]: Extracting #4: cost 96 inf + 45
589.458 * * [simplify]: Extracting #5: cost 208 inf + 621
589.459 * * [simplify]: Extracting #6: cost 266 inf + 2338
589.462 * * [simplify]: Extracting #7: cost 195 inf + 18287
589.477 * * [simplify]: Extracting #8: cost 106 inf + 49209
589.510 * * [simplify]: Extracting #9: cost 35 inf + 81574
589.546 * * [simplify]: Extracting #10: cost 12 inf + 100837
589.599 * * [simplify]: Extracting #11: cost 0 inf + 114066
589.649 * [simplify]: Simplified to (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (- (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) U))))))
589.649 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1)) (* (cos (/ K 2)) J)) (sqrt (sqrt (- (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (- 1 (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) U)))))) (* (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (sqrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
589.650 * * * * [progress]: [ 670 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
589.650 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
589.651 * * [simplify]: iters left: 6 (50 enodes)
589.676 * * [simplify]: iters left: 5 (261 enodes)
589.769 * * [simplify]: Extracting #0: cost 1 inf + 0
589.769 * * [simplify]: Extracting #1: cost 30 inf + 0
589.769 * * [simplify]: Extracting #2: cost 59 inf + 1
589.770 * * [simplify]: Extracting #3: cost 69 inf + 2
589.770 * * [simplify]: Extracting #4: cost 105 inf + 45
589.772 * * [simplify]: Extracting #5: cost 239 inf + 806
589.775 * * [simplify]: Extracting #6: cost 338 inf + 5137
589.789 * * [simplify]: Extracting #7: cost 210 inf + 45747
589.828 * * [simplify]: Extracting #8: cost 75 inf + 98432
589.877 * * [simplify]: Extracting #9: cost 36 inf + 118604
589.933 * * [simplify]: Extracting #10: cost 22 inf + 133563
590.030 * * [simplify]: Extracting #11: cost 0 inf + 157764
590.105 * * [simplify]: Extracting #12: cost 0 inf + 157404
590.167 * [simplify]: Simplified to (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U U) (* U U)) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* U U) (* U U))))))))) (sqrt (sqrt (+ (+ (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))) (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* 2 (* (cos (/ K 2)) J)))))))
590.168 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U U) (* U U)) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* U U) (* U U))))))))) (sqrt (sqrt (+ (+ (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))) (* (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* 2 (* (cos (/ K 2)) J))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
590.170 * * * * [progress]: [ 671 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
590.171 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
590.172 * * [simplify]: iters left: 6 (52 enodes)
590.204 * * [simplify]: iters left: 5 (270 enodes)
590.314 * * [simplify]: Extracting #0: cost 1 inf + 0
590.314 * * [simplify]: Extracting #1: cost 30 inf + 0
590.314 * * [simplify]: Extracting #2: cost 59 inf + 1
590.315 * * [simplify]: Extracting #3: cost 69 inf + 2
590.315 * * [simplify]: Extracting #4: cost 105 inf + 45
590.316 * * [simplify]: Extracting #5: cost 241 inf + 621
590.320 * * [simplify]: Extracting #6: cost 331 inf + 6468
590.338 * * [simplify]: Extracting #7: cost 201 inf + 46254
590.377 * * [simplify]: Extracting #8: cost 60 inf + 103050
590.425 * * [simplify]: Extracting #9: cost 33 inf + 118325
590.492 * * [simplify]: Extracting #10: cost 5 inf + 149040
590.590 * * [simplify]: Extracting #11: cost 0 inf + 155290
590.645 * [simplify]: Simplified to (* (/ (* (sqrt (+ 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U U) (* U U)) (* (* (* U U) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* U U) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))) (/ -2 (sqrt (sqrt (+ (* (+ 1 (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* 2 (* (cos (/ K 2)) J))))))))
590.646 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))))) (+ (* (* U U) (* U U)) (* (* (* U U) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* U U) (/ (/ U (* 2 (cos (/ K 2)))) J)))))))) (/ -2 (sqrt (sqrt (+ (* (+ 1 (+ (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) U) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (* (- 1 (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)) (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* 2 (* (cos (/ K 2)) J)))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
590.648 * * * * [progress]: [ 672 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
590.648 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
590.649 * * [simplify]: iters left: 6 (50 enodes)
590.683 * * [simplify]: iters left: 5 (259 enodes)
590.777 * * [simplify]: Extracting #0: cost 1 inf + 0
590.777 * * [simplify]: Extracting #1: cost 30 inf + 0
590.777 * * [simplify]: Extracting #2: cost 59 inf + 1
590.778 * * [simplify]: Extracting #3: cost 69 inf + 2
590.778 * * [simplify]: Extracting #4: cost 105 inf + 45
590.779 * * [simplify]: Extracting #5: cost 245 inf + 478
590.780 * * [simplify]: Extracting #6: cost 316 inf + 6612
590.791 * * [simplify]: Extracting #7: cost 164 inf + 57565
590.815 * * [simplify]: Extracting #8: cost 62 inf + 99866
590.858 * * [simplify]: Extracting #9: cost 37 inf + 113214
590.927 * * [simplify]: Extracting #10: cost 19 inf + 131672
591.001 * * [simplify]: Extracting #11: cost 4 inf + 148376
591.095 * * [simplify]: Extracting #12: cost 0 inf + 153239
591.183 * [simplify]: Simplified to (/ (* (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* U U))))))) (sqrt (sqrt (+ (+ (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) U) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) U) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* 2 (* (cos (/ K 2)) J)))))))
591.183 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* 2 (* (cos (/ K 2)) J)))) (* (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* U U))))))) (sqrt (sqrt (+ (+ (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) U) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) U) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* 2 (* (cos (/ K 2)) J))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
591.185 * * * * [progress]: [ 673 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
591.185 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
591.186 * * [simplify]: iters left: 6 (52 enodes)
591.214 * * [simplify]: iters left: 5 (270 enodes)
591.333 * * [simplify]: Extracting #0: cost 1 inf + 0
591.333 * * [simplify]: Extracting #1: cost 30 inf + 0
591.333 * * [simplify]: Extracting #2: cost 59 inf + 1
591.333 * * [simplify]: Extracting #3: cost 69 inf + 2
591.334 * * [simplify]: Extracting #4: cost 103 inf + 45
591.335 * * [simplify]: Extracting #5: cost 241 inf + 335
591.336 * * [simplify]: Extracting #6: cost 330 inf + 4457
591.344 * * [simplify]: Extracting #7: cost 204 inf + 42262
591.371 * * [simplify]: Extracting #8: cost 63 inf + 97803
591.437 * * [simplify]: Extracting #9: cost 31 inf + 115140
591.497 * * [simplify]: Extracting #10: cost 7 inf + 139595
591.597 * * [simplify]: Extracting #11: cost 0 inf + 149574
591.698 * [simplify]: Simplified to (* (/ (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (* U U))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (* U U))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J))))))))
591.698 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (* U U))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* U (* U U))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J)))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
591.700 * * * * [progress]: [ 674 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
591.701 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
591.702 * * [simplify]: iters left: 6 (51 enodes)
591.736 * * [simplify]: iters left: 5 (259 enodes)
591.838 * * [simplify]: Extracting #0: cost 1 inf + 0
591.838 * * [simplify]: Extracting #1: cost 30 inf + 0
591.838 * * [simplify]: Extracting #2: cost 59 inf + 1
591.839 * * [simplify]: Extracting #3: cost 69 inf + 2
591.839 * * [simplify]: Extracting #4: cost 102 inf + 45
591.840 * * [simplify]: Extracting #5: cost 237 inf + 478
591.842 * * [simplify]: Extracting #6: cost 311 inf + 8200
591.860 * * [simplify]: Extracting #7: cost 147 inf + 65133
591.903 * * [simplify]: Extracting #8: cost 66 inf + 97628
591.932 * * [simplify]: Extracting #9: cost 41 inf + 109894
591.969 * * [simplify]: Extracting #10: cost 33 inf + 116777
592.027 * * [simplify]: Extracting #11: cost 6 inf + 145506
592.110 * * [simplify]: Extracting #12: cost 0 inf + 153859
592.183 * [simplify]: Simplified to (/ (* (/ (* (sqrt (+ 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (+ 1 (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) U)) (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* 2 (* (cos (/ K 2)) J))))))) -2) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (* (* U U) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* U (+ 1 (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))))))))
592.183 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (/ (* (sqrt (+ 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (+ 1 (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) U)) (* (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* 2 (* (cos (/ K 2)) J))))))) -2) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (* (* U U) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (* U (+ 1 (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
592.185 * * * * [progress]: [ 675 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
592.185 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
592.186 * * [simplify]: iters left: 6 (53 enodes)
592.219 * * [simplify]: iters left: 5 (269 enodes)
592.307 * * [simplify]: Extracting #0: cost 1 inf + 0
592.307 * * [simplify]: Extracting #1: cost 30 inf + 0
592.307 * * [simplify]: Extracting #2: cost 59 inf + 1
592.307 * * [simplify]: Extracting #3: cost 68 inf + 44
592.308 * * [simplify]: Extracting #4: cost 102 inf + 45
592.308 * * [simplify]: Extracting #5: cost 237 inf + 580
592.310 * * [simplify]: Extracting #6: cost 326 inf + 5687
592.320 * * [simplify]: Extracting #7: cost 185 inf + 51310
592.353 * * [simplify]: Extracting #8: cost 51 inf + 105190
592.399 * * [simplify]: Extracting #9: cost 36 inf + 114083
592.451 * * [simplify]: Extracting #10: cost 24 inf + 125466
592.511 * * [simplify]: Extracting #11: cost 4 inf + 148819
592.565 * * [simplify]: Extracting #12: cost 0 inf + 153602
592.632 * [simplify]: Simplified to (* (/ (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (sqrt (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* 2 (* (cos (/ K 2)) J))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* 2 (* (cos (/ K 2)) J))))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (* U U) U)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))
592.632 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (sqrt (sqrt (+ (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* 2 (* (cos (/ K 2)) J))))))) (/ (* (* (cos (/ K 2)) J) -2) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* 2 (* (cos (/ K 2)) J))))) (* (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (* U U) U)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
592.634 * * * * [progress]: [ 676 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
592.635 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
592.636 * * [simplify]: iters left: 6 (50 enodes)
592.667 * * [simplify]: iters left: 5 (262 enodes)
592.787 * * [simplify]: Extracting #0: cost 1 inf + 0
592.787 * * [simplify]: Extracting #1: cost 30 inf + 0
592.787 * * [simplify]: Extracting #2: cost 59 inf + 1
592.787 * * [simplify]: Extracting #3: cost 68 inf + 44
592.788 * * [simplify]: Extracting #4: cost 105 inf + 45
592.788 * * [simplify]: Extracting #5: cost 247 inf + 580
592.790 * * [simplify]: Extracting #6: cost 333 inf + 6967
592.799 * * [simplify]: Extracting #7: cost 196 inf + 49631
592.826 * * [simplify]: Extracting #8: cost 78 inf + 97528
592.885 * * [simplify]: Extracting #9: cost 29 inf + 127791
592.946 * * [simplify]: Extracting #10: cost 2 inf + 156520
593.053 * * [simplify]: Extracting #11: cost 0 inf + 158412
593.126 * * [simplify]: Extracting #12: cost 0 inf + 158372
593.212 * [simplify]: Simplified to (/ (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* J (* 2 (cos (/ K 2)))))) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) U) (* U (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))) (sqrt (sqrt (+ (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* J (* 2 (cos (/ K 2))))))))))
593.212 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (* (cos (/ K 2)) J) -2)) (* (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* J (* 2 (cos (/ K 2)))))) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) U) (* U (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))) (sqrt (sqrt (+ (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* J (* 2 (cos (/ K 2)))))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
593.213 * * * * [progress]: [ 677 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
593.213 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
593.214 * * [simplify]: iters left: 6 (52 enodes)
593.236 * * [simplify]: iters left: 5 (271 enodes)
593.350 * * [simplify]: Extracting #0: cost 1 inf + 0
593.350 * * [simplify]: Extracting #1: cost 30 inf + 0
593.350 * * [simplify]: Extracting #2: cost 59 inf + 1
593.350 * * [simplify]: Extracting #3: cost 69 inf + 2
593.351 * * [simplify]: Extracting #4: cost 105 inf + 45
593.352 * * [simplify]: Extracting #5: cost 253 inf + 520
593.356 * * [simplify]: Extracting #6: cost 339 inf + 6691
593.376 * * [simplify]: Extracting #7: cost 178 inf + 55952
593.424 * * [simplify]: Extracting #8: cost 60 inf + 102829
593.464 * * [simplify]: Extracting #9: cost 31 inf + 121155
593.524 * * [simplify]: Extracting #10: cost 9 inf + 143956
593.599 * * [simplify]: Extracting #11: cost 0 inf + 155227
593.669 * * [simplify]: Extracting #12: cost 0 inf + 155187
593.737 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) U) (* U (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1))))))) (/ (* (cos (/ K 2)) J) (/ (sqrt (sqrt (+ (+ (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))) (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* J (* 2 (cos (/ K 2)))))))) (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))
593.737 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (* (* J (* 2 (cos (/ K 2)))) (* J (* 2 (cos (/ K 2))))) (* (* J (* 2 (cos (/ K 2)))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) U) (* U (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) 1))))))) (/ (* (cos (/ K 2)) J) (/ (sqrt (sqrt (+ (+ (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U))) (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* J (* 2 (cos (/ K 2)))))))) (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
593.738 * * * * [progress]: [ 678 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
593.738 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
593.739 * * [simplify]: iters left: 6 (48 enodes)
593.754 * * [simplify]: iters left: 5 (251 enodes)
593.863 * * [simplify]: Extracting #0: cost 1 inf + 0
593.863 * * [simplify]: Extracting #1: cost 30 inf + 0
593.863 * * [simplify]: Extracting #2: cost 59 inf + 1
593.864 * * [simplify]: Extracting #3: cost 68 inf + 44
593.864 * * [simplify]: Extracting #4: cost 100 inf + 45
593.865 * * [simplify]: Extracting #5: cost 223 inf + 520
593.868 * * [simplify]: Extracting #6: cost 304 inf + 5335
593.889 * * [simplify]: Extracting #7: cost 148 inf + 56998
593.939 * * [simplify]: Extracting #8: cost 49 inf + 97507
594.009 * * [simplify]: Extracting #9: cost 24 inf + 116215
594.102 * * [simplify]: Extracting #10: cost 6 inf + 135156
594.182 * * [simplify]: Extracting #11: cost 0 inf + 142671
594.281 * [simplify]: Simplified to (* (/ (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))))) (/ -2 (sqrt (sqrt (+ (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) U))) (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* 2 (* (cos (/ K 2)) J))))))))
594.282 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))) (+ (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)) (* (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) U) (* (/ (/ U (* (cos (/ K 2)) J)) 2) U)))))))) (/ -2 (sqrt (sqrt (+ (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) U))) (* (- 1 (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* 2 (* (cos (/ K 2)) J)))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
594.283 * * * * [progress]: [ 679 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
594.284 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
594.285 * * [simplify]: iters left: 6 (50 enodes)
594.314 * * [simplify]: iters left: 5 (262 enodes)
594.391 * * [simplify]: Extracting #0: cost 1 inf + 0
594.391 * * [simplify]: Extracting #1: cost 30 inf + 0
594.391 * * [simplify]: Extracting #2: cost 59 inf + 1
594.391 * * [simplify]: Extracting #3: cost 69 inf + 2
594.391 * * [simplify]: Extracting #4: cost 100 inf + 45
594.392 * * [simplify]: Extracting #5: cost 228 inf + 622
594.394 * * [simplify]: Extracting #6: cost 319 inf + 5419
594.419 * * [simplify]: Extracting #7: cost 143 inf + 64571
594.467 * * [simplify]: Extracting #8: cost 49 inf + 103248
594.509 * * [simplify]: Extracting #9: cost 29 inf + 116674
594.570 * * [simplify]: Extracting #10: cost 24 inf + 121721
594.635 * * [simplify]: Extracting #11: cost 3 inf + 144056
594.724 * * [simplify]: Extracting #12: cost 0 inf + 147774
594.799 * [simplify]: Simplified to (/ (* (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))))))) (sqrt (sqrt (+ (* (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* 2 (* (cos (/ K 2)) J)))))))
594.799 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (cos (/ K 2)) J)) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) U) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))))))) (sqrt (sqrt (+ (* (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U)) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* 2 (* (cos (/ K 2)) J))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
594.801 * * * * [progress]: [ 680 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
594.802 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
594.803 * * [simplify]: iters left: 6 (49 enodes)
594.836 * * [simplify]: iters left: 5 (251 enodes)
594.958 * * [simplify]: Extracting #0: cost 1 inf + 0
594.958 * * [simplify]: Extracting #1: cost 30 inf + 0
594.962 * * [simplify]: Extracting #2: cost 59 inf + 1
594.963 * * [simplify]: Extracting #3: cost 69 inf + 2
594.963 * * [simplify]: Extracting #4: cost 102 inf + 45
594.964 * * [simplify]: Extracting #5: cost 219 inf + 723
594.967 * * [simplify]: Extracting #6: cost 292 inf + 3990
594.977 * * [simplify]: Extracting #7: cost 157 inf + 51897
595.004 * * [simplify]: Extracting #8: cost 43 inf + 101394
595.068 * * [simplify]: Extracting #9: cost 25 inf + 117369
595.135 * * [simplify]: Extracting #10: cost 1 inf + 143185
595.215 * * [simplify]: Extracting #11: cost 0 inf + 144170
595.316 * [simplify]: Simplified to (* (/ (* (sqrt (+ 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (* (cos (/ K 2)) J)) (* (sqrt (sqrt (+ (* (* (+ 1 (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) U)) (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* 2 (* (cos (/ K 2)) J)))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (* (* (+ 1 (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (* U U) (/ (/ (/ U 2) (cos (/ K 2))) J))) (/ (/ (/ U 2) (cos (/ K 2))) J))))))) -2)
595.316 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (* (cos (/ K 2)) J)) (* (sqrt (sqrt (+ (* (* (+ 1 (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) U)) (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* 2 (* (cos (/ K 2)) J)))))) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (* (* (+ 1 (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (* U U) (/ (/ (/ U 2) (cos (/ K 2))) J))) (/ (/ (/ U 2) (cos (/ K 2))) J))))))) -2) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
595.318 * * * * [progress]: [ 681 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
595.318 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
595.319 * * [simplify]: iters left: 6 (51 enodes)
595.351 * * [simplify]: iters left: 5 (261 enodes)
595.463 * * [simplify]: Extracting #0: cost 1 inf + 0
595.464 * * [simplify]: Extracting #1: cost 30 inf + 0
595.464 * * [simplify]: Extracting #2: cost 59 inf + 1
595.464 * * [simplify]: Extracting #3: cost 68 inf + 44
595.464 * * [simplify]: Extracting #4: cost 102 inf + 45
595.465 * * [simplify]: Extracting #5: cost 226 inf + 478
595.467 * * [simplify]: Extracting #6: cost 311 inf + 4505
595.483 * * [simplify]: Extracting #7: cost 171 inf + 50726
595.527 * * [simplify]: Extracting #8: cost 50 inf + 99561
595.577 * * [simplify]: Extracting #9: cost 25 inf + 117990
595.633 * * [simplify]: Extracting #10: cost 6 inf + 137678
595.719 * * [simplify]: Extracting #11: cost 0 inf + 145551
595.794 * [simplify]: Simplified to (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))))))) (sqrt (sqrt (+ (* (+ 1 (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))))) (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) U))) (* (- 1 (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))))) (* 2 (* (cos (/ K 2)) J))))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)))) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) U) (* (/ (/ (/ U (cos (/ K 2))) J) 2) U)) (* (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) U) (* (/ (/ (/ U (cos (/ K 2))) J) 2) U)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))))))))
595.794 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))))))) (sqrt (sqrt (+ (* (+ 1 (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))))) (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) U))) (* (- 1 (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))))) (* 2 (* (cos (/ K 2)) J))))))) (sqrt (sqrt (+ (* (* 2 (* (cos (/ K 2)) J)) (* (- 1 (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)))) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) U) (* (/ (/ (/ U (cos (/ K 2))) J) 2) U)) (* (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) U) (* (/ (/ (/ U (cos (/ K 2))) J) 2) U)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
595.796 * * * * [progress]: [ 682 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
595.797 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
595.798 * * [simplify]: iters left: 6 (51 enodes)
595.828 * * [simplify]: iters left: 5 (261 enodes)
595.910 * * [simplify]: Extracting #0: cost 1 inf + 0
595.910 * * [simplify]: Extracting #1: cost 30 inf + 0
595.910 * * [simplify]: Extracting #2: cost 59 inf + 1
595.910 * * [simplify]: Extracting #3: cost 68 inf + 44
595.911 * * [simplify]: Extracting #4: cost 102 inf + 45
595.911 * * [simplify]: Extracting #5: cost 242 inf + 520
595.913 * * [simplify]: Extracting #6: cost 325 inf + 7319
595.930 * * [simplify]: Extracting #7: cost 193 inf + 51632
595.984 * * [simplify]: Extracting #8: cost 50 inf + 113152
596.059 * * [simplify]: Extracting #9: cost 29 inf + 129162
596.106 * * [simplify]: Extracting #10: cost 24 inf + 133568
596.213 * * [simplify]: Extracting #11: cost 3 inf + 156544
596.286 * * [simplify]: Extracting #12: cost 0 inf + 160902
596.347 * [simplify]: Simplified to (/ (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (* U U) (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))))) (sqrt (sqrt (+ (+ (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) U)) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) U)) (* (cos (/ K 2)) (* (* 2 J) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))))
596.347 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (/ (* (sqrt (+ 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (cos (/ K 2)) J) -2)) (sqrt (sqrt (+ (* (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* U (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (* U U) (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))))) (sqrt (sqrt (+ (+ (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) U)) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) U)) (* (cos (/ K 2)) (* (* 2 J) (- 1 (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (/ (/ U (cos (/ K 2))) (* 2 J))))))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
596.348 * * * * [progress]: [ 683 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
596.349 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
596.349 * * [simplify]: iters left: 6 (53 enodes)
596.366 * * [simplify]: iters left: 5 (270 enodes)
596.445 * * [simplify]: Extracting #0: cost 1 inf + 0
596.446 * * [simplify]: Extracting #1: cost 30 inf + 0
596.446 * * [simplify]: Extracting #2: cost 59 inf + 1
596.446 * * [simplify]: Extracting #3: cost 68 inf + 44
596.447 * * [simplify]: Extracting #4: cost 103 inf + 45
596.448 * * [simplify]: Extracting #5: cost 245 inf + 662
596.452 * * [simplify]: Extracting #6: cost 327 inf + 6310
596.469 * * [simplify]: Extracting #7: cost 197 inf + 49786
596.522 * * [simplify]: Extracting #8: cost 61 inf + 106086
596.596 * * [simplify]: Extracting #9: cost 22 inf + 135076
596.677 * * [simplify]: Extracting #10: cost 3 inf + 152852
596.733 * * [simplify]: Extracting #11: cost 0 inf + 156294
596.810 * [simplify]: Simplified to (/ (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (+ (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) U) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) U) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* 2 (* (cos (/ K 2)) J)))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J))))))))))
596.810 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (cos (/ K 2)) J)) (/ (sqrt (sqrt (+ (+ (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) U) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) U) (/ (/ U (cos (/ K 2))) (* 2 J)))) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* 2 (* (cos (/ K 2)) J)))))) (/ -2 (sqrt (sqrt (+ (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (/ (* (* U U) (* U U)) (* 2 (* (cos (/ K 2)) J)))))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
596.811 * * * * [progress]: [ 684 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
596.811 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
596.812 * * [simplify]: iters left: 6 (49 enodes)
596.839 * * [simplify]: iters left: 5 (249 enodes)
596.941 * * [simplify]: Extracting #0: cost 1 inf + 0
596.941 * * [simplify]: Extracting #1: cost 30 inf + 0
596.941 * * [simplify]: Extracting #2: cost 59 inf + 1
596.941 * * [simplify]: Extracting #3: cost 69 inf + 2
596.942 * * [simplify]: Extracting #4: cost 101 inf + 45
596.943 * * [simplify]: Extracting #5: cost 218 inf + 335
596.946 * * [simplify]: Extracting #6: cost 284 inf + 4993
596.966 * * [simplify]: Extracting #7: cost 151 inf + 50358
597.000 * * [simplify]: Extracting #8: cost 48 inf + 92853
597.050 * * [simplify]: Extracting #9: cost 34 inf + 101887
597.101 * * [simplify]: Extracting #10: cost 16 inf + 119264
597.153 * * [simplify]: Extracting #11: cost 0 inf + 135676
597.228 * [simplify]: Simplified to (* (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))) (/ (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (/ (sqrt (sqrt (+ (* (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J))))
597.228 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)))))) (/ (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (/ (sqrt (sqrt (+ (* (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) J)))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
597.229 * * * * [progress]: [ 685 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
597.229 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
597.230 * * [simplify]: iters left: 6 (51 enodes)
597.252 * * [simplify]: iters left: 5 (260 enodes)
597.357 * * [simplify]: Extracting #0: cost 1 inf + 0
597.357 * * [simplify]: Extracting #1: cost 30 inf + 0
597.357 * * [simplify]: Extracting #2: cost 59 inf + 1
597.357 * * [simplify]: Extracting #3: cost 68 inf + 44
597.357 * * [simplify]: Extracting #4: cost 101 inf + 45
597.358 * * [simplify]: Extracting #5: cost 225 inf + 335
597.359 * * [simplify]: Extracting #6: cost 309 inf + 5358
597.370 * * [simplify]: Extracting #7: cost 173 inf + 50304
597.398 * * [simplify]: Extracting #8: cost 50 inf + 102269
597.457 * * [simplify]: Extracting #9: cost 29 inf + 115723
597.505 * * [simplify]: Extracting #10: cost 14 inf + 131801
597.591 * * [simplify]: Extracting #11: cost 0 inf + 147324
597.657 * * [simplify]: Extracting #12: cost 0 inf + 145284
597.717 * [simplify]: Simplified to (* (/ (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U)) U))))) (/ -2 (sqrt (sqrt (+ (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))))
597.717 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* (cos (/ K 2)) J) 4) (* (* (cos (/ K 2)) J) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) 1) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U)) U))))) (/ -2 (sqrt (sqrt (+ (+ (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) U) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) (* 2 (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
597.718 * * * * [progress]: [ 686 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
597.718 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
597.719 * * [simplify]: iters left: 6 (49 enodes)
597.741 * * [simplify]: iters left: 5 (251 enodes)
597.841 * * [simplify]: Extracting #0: cost 1 inf + 0
597.841 * * [simplify]: Extracting #1: cost 30 inf + 0
597.842 * * [simplify]: Extracting #2: cost 59 inf + 1
597.842 * * [simplify]: Extracting #3: cost 69 inf + 2
597.842 * * [simplify]: Extracting #4: cost 102 inf + 45
597.843 * * [simplify]: Extracting #5: cost 224 inf + 335
597.846 * * [simplify]: Extracting #6: cost 297 inf + 4170
597.866 * * [simplify]: Extracting #7: cost 160 inf + 51343
597.899 * * [simplify]: Extracting #8: cost 53 inf + 94582
597.941 * * [simplify]: Extracting #9: cost 33 inf + 107365
597.999 * * [simplify]: Extracting #10: cost 10 inf + 130591
598.059 * * [simplify]: Extracting #11: cost 1 inf + 140262
598.153 * * [simplify]: Extracting #12: cost 0 inf + 141288
598.242 * [simplify]: Simplified to (/ (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (/ (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* U U) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))) (/ -2 (sqrt (sqrt (+ (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) U) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* 2 (* (cos (/ K 2)) J)))))))) (* (cos (/ K 2)) J)))
598.242 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (sqrt (+ 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (/ (/ (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* U U) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))))))))) (/ -2 (sqrt (sqrt (+ (* (+ 1 (+ (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))))) (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) U) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (- 1 (* (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)))) (* 2 (* (cos (/ K 2)) J)))))))) (* (cos (/ K 2)) J))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
598.243 * * * * [progress]: [ 687 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
598.243 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* U (/ U (* 2 (* (cos (/ K 2)) J)))) (* U (/ U (* 2 (* (cos (/ K 2)) J))))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
598.244 * * [simplify]: iters left: 6 (51 enodes)
598.269 * * [simplify]: iters left: 5 (261 enodes)
598.378 * * [simplify]: Extracting #0: cost 1 inf + 0
598.378 * * [simplify]: Extracting #1: cost 30 inf + 0
598.378 * * [simplify]: Extracting #2: cost 59 inf + 1
598.378 * * [simplify]: Extracting #3: cost 68 inf + 44
598.379 * * [simplify]: Extracting #4: cost 102 inf + 45
598.380 * * [simplify]: Extracting #5: cost 230 inf + 377
598.383 * * [simplify]: Extracting #6: cost 307 inf + 6350
598.394 * * [simplify]: Extracting #7: cost 156 inf + 57350
598.427 * * [simplify]: Extracting #8: cost 46 inf + 102768
598.476 * * [simplify]: Extracting #9: cost 30 inf + 112770
598.511 * * [simplify]: Extracting #10: cost 20 inf + 122782
598.562 * * [simplify]: Extracting #11: cost 4 inf + 140032
598.658 * * [simplify]: Extracting #12: cost 0 inf + 144455
598.755 * [simplify]: Simplified to (* (/ (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* U U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (/ -2 (sqrt (sqrt (+ (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* 2 (* (cos (/ K 2)) J))))))))
598.755 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* U U) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))))))) (/ -2 (sqrt (sqrt (+ (* (+ 1 (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) U))) (* (- 1 (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))))) (* 2 (* (cos (/ K 2)) J)))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
598.757 * * * * [progress]: [ 688 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
598.758 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
598.759 * * [simplify]: iters left: 6 (49 enodes)
598.790 * * [simplify]: iters left: 5 (255 enodes)
598.899 * * [simplify]: Extracting #0: cost 1 inf + 0
598.899 * * [simplify]: Extracting #1: cost 30 inf + 0
598.900 * * [simplify]: Extracting #2: cost 59 inf + 1
598.900 * * [simplify]: Extracting #3: cost 68 inf + 44
598.900 * * [simplify]: Extracting #4: cost 101 inf + 45
598.902 * * [simplify]: Extracting #5: cost 225 inf + 335
598.905 * * [simplify]: Extracting #6: cost 303 inf + 6520
598.926 * * [simplify]: Extracting #7: cost 158 inf + 56849
598.974 * * [simplify]: Extracting #8: cost 57 inf + 98998
599.024 * * [simplify]: Extracting #9: cost 37 inf + 110618
599.100 * * [simplify]: Extracting #10: cost 11 inf + 137199
599.177 * * [simplify]: Extracting #11: cost 0 inf + 149202
599.248 * [simplify]: Simplified to (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (sqrt (+ (+ (* (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* U (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* U (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* 2 (* (cos (/ K 2)) J)))))) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* U (* U (+ 1 (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))))))))) (sqrt (+ 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))))
599.248 * [simplify]: Simplified (2 1) to (λ (J K U) (* (/ (* (cos (/ K 2)) J) (/ (/ (sqrt (sqrt (+ (+ (* (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* U (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (* U (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (* 2 (* (cos (/ K 2)) J)))))) (/ -2 (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* U (* U (+ 1 (+ (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))))))))) (sqrt (+ 1 (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)) (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))
599.249 * * * * [progress]: [ 689 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))>
599.250 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* U U)) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- (* (* 1 1) (* 1 1)) (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))))
599.250 * * [simplify]: iters left: 6 (51 enodes)
599.273 * * [simplify]: iters left: 5 (265 enodes)
599.361 * * [simplify]: Extracting #0: cost 1 inf + 0
599.361 * * [simplify]: Extracting #1: cost 30 inf + 0
599.362 * * [simplify]: Extracting #2: cost 59 inf + 1
599.362 * * [simplify]: Extracting #3: cost 69 inf + 2
599.362 * * [simplify]: Extracting #4: cost 100 inf + 45
599.364 * * [simplify]: Extracting #5: cost 228 inf + 479
599.367 * * [simplify]: Extracting #6: cost 316 inf + 5722
599.394 * * [simplify]: Extracting #7: cost 126 inf + 67903
599.438 * * [simplify]: Extracting #8: cost 64 inf + 92665
599.499 * * [simplify]: Extracting #9: cost 33 inf + 109404
599.581 * * [simplify]: Extracting #10: cost 8 inf + 133403
599.648 * * [simplify]: Extracting #11: cost 0 inf + 144088
599.736 * [simplify]: Simplified to (* (/ (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (/ -2 (sqrt (sqrt (+ (* (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J))))))))
599.736 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* (/ (* (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (* (cos (/ K 2)) J)) (sqrt (sqrt (+ (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (+ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) U) (/ (/ U 2) (* (cos (/ K 2)) J))))))))) (/ -2 (sqrt (sqrt (+ (* (* (+ 1 (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) U)) (* (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* 2 (* (cos (/ K 2)) J)))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (+ (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))
599.737 * * * * [progress]: [ 690 / 1276 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))))) (* (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (sqrt (sqrt (* (* 2 (* (cos (/ K 2)) J)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))))))>
599.737 * [simplify]: Simplifying (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (* (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3)))))) (sqrt (sqrt (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) U)) (+ (* (* 1 1) (* 1 1)) (+ (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (* (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (* (* 2 (* (cos (/ K 2)) J)) (- (pow (* 1 1) 3) (pow (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 3))))))))
599.738 * * [simplify]: iters left: 6 (41 enodes)
599.754 * * [simplify]: iters left: 5 (203 enodes)
599.852 * * [simplify]: Extracting #0: cost 1 inf + 0
599.852 * * [simplify]: Extracting #1: cost 24 inf + 0
599.853 * * [simplify]: Extracting #2: cost 51 inf + 1
599.853 * * [simplify]: Extracting #3: cost 60 inf + 2
599.853 * * [simplify]: Extracting #4: cost 127 inf + 45
599.855 * * [simplify]: Extracting #5: cost 248 inf + 563
599.858 * * [simplify]: Extracting #6: cost 237 inf + 5503
599.876 * * [simplify]: Extracting #7: cost 114 inf + 43874
599.910 * * [simplify]: Extracting #8: cost 32 inf + 78773
599.952 * * [simplify]: Extracting #9: cost 21 inf + 87934
599.991 * * [simplify]: Extracting #10: cost 4 inf + 103288