122.680 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.215 * * * [progress]: [2/2] Setting up program.
0.223 * [progress]: [Phase 2 of 3] Improving.
0.223 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
0.224 * [simplify]: Simplifying:
  (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
0.224 * * [simplify]: iteration 1: (17 enodes)
0.228 * * [simplify]: iteration 2: (34 enodes)
0.255 * * [simplify]: iteration 3: (79 enodes)
0.291 * * [simplify]: iteration 4: (185 enodes)
0.413 * * [simplify]: iteration 5: (616 enodes)
1.101 * * [simplify]: Extracting #0: cost 1 inf + 0
1.102 * * [simplify]: Extracting #1: cost 15 inf + 0
1.102 * * [simplify]: Extracting #2: cost 15 inf + 2
1.102 * * [simplify]: Extracting #3: cost 18 inf + 44
1.103 * * [simplify]: Extracting #4: cost 201 inf + 89
1.108 * * [simplify]: Extracting #5: cost 339 inf + 8425
1.119 * * [simplify]: Extracting #6: cost 187 inf + 41443
1.142 * * [simplify]: Extracting #7: cost 97 inf + 73351
1.191 * * [simplify]: Extracting #8: cost 1 inf + 124289
1.259 * * [simplify]: Extracting #9: cost 0 inf + 124724
1.323 * [simplify]: Simplified to:
  (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))
1.340 * * [progress]: iteration 1 / 4
1.340 * * * [progress]: picking best candidate
1.347 * * * * [pick]: Picked  #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
1.347 * * * [progress]: localizing error
1.393 * * * [progress]: generating rewritten candidates
1.393 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
1.568 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
2.012 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1)
2.144 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2 2)
2.180 * * * [progress]: generating series expansions
2.180 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
2.181 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
2.181 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0
2.181 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
2.181 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
2.181 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
2.181 * [taylor]: Taking taylor expansion of 1/4 in K
2.181 * [backup-simplify]: Simplify 1/4 into 1/4
2.181 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
2.181 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.181 * [taylor]: Taking taylor expansion of U in K
2.181 * [backup-simplify]: Simplify U into U
2.181 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
2.181 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
2.181 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.181 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.181 * [taylor]: Taking taylor expansion of 1/2 in K
2.181 * [backup-simplify]: Simplify 1/2 into 1/2
2.181 * [taylor]: Taking taylor expansion of K in K
2.182 * [backup-simplify]: Simplify 0 into 0
2.182 * [backup-simplify]: Simplify 1 into 1
2.182 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.183 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.183 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.183 * [taylor]: Taking taylor expansion of J in K
2.183 * [backup-simplify]: Simplify J into J
2.183 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.184 * [backup-simplify]: Simplify (* 1 1) into 1
2.184 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.184 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
2.184 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
2.184 * [taylor]: Taking taylor expansion of 1 in K
2.184 * [backup-simplify]: Simplify 1 into 1
2.184 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
2.184 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
2.185 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
2.185 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.185 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.185 * [backup-simplify]: Simplify (+ 0) into 0
2.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
2.187 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
2.187 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
2.188 * [backup-simplify]: Simplify (+ 0 0) into 0
2.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
2.188 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
2.188 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
2.188 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
2.188 * [taylor]: Taking taylor expansion of 1/4 in J
2.188 * [backup-simplify]: Simplify 1/4 into 1/4
2.188 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
2.188 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.188 * [taylor]: Taking taylor expansion of U in J
2.188 * [backup-simplify]: Simplify U into U
2.188 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
2.188 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
2.188 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.189 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.189 * [taylor]: Taking taylor expansion of 1/2 in J
2.189 * [backup-simplify]: Simplify 1/2 into 1/2
2.189 * [taylor]: Taking taylor expansion of K in J
2.189 * [backup-simplify]: Simplify K into K
2.189 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.189 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.189 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.189 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.189 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.189 * [backup-simplify]: Simplify (- 0) into 0
2.190 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.190 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.190 * [taylor]: Taking taylor expansion of J in J
2.190 * [backup-simplify]: Simplify 0 into 0
2.190 * [backup-simplify]: Simplify 1 into 1
2.190 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.190 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.190 * [backup-simplify]: Simplify (* 1 1) into 1
2.190 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
2.191 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
2.191 * [taylor]: Taking taylor expansion of 1 in J
2.191 * [backup-simplify]: Simplify 1 into 1
2.191 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
2.191 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
2.191 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
2.191 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.193 * [backup-simplify]: Simplify (+ 0) into 0
2.193 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.194 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.195 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.195 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.196 * [backup-simplify]: Simplify (- 0) into 0
2.196 * [backup-simplify]: Simplify (+ 0 0) into 0
2.196 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
2.197 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
2.197 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
2.198 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
2.198 * [backup-simplify]: Simplify (+ 0 0) into 0
2.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
2.199 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
2.199 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
2.199 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
2.199 * [taylor]: Taking taylor expansion of 1/4 in U
2.199 * [backup-simplify]: Simplify 1/4 into 1/4
2.199 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
2.199 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.199 * [taylor]: Taking taylor expansion of U in U
2.199 * [backup-simplify]: Simplify 0 into 0
2.199 * [backup-simplify]: Simplify 1 into 1
2.199 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
2.199 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
2.199 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
2.199 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
2.199 * [taylor]: Taking taylor expansion of 1/2 in U
2.199 * [backup-simplify]: Simplify 1/2 into 1/2
2.199 * [taylor]: Taking taylor expansion of K in U
2.199 * [backup-simplify]: Simplify K into K
2.199 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.199 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.199 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.199 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.199 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.200 * [backup-simplify]: Simplify (- 0) into 0
2.200 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.200 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.200 * [taylor]: Taking taylor expansion of J in U
2.200 * [backup-simplify]: Simplify J into J
2.200 * [backup-simplify]: Simplify (* 1 1) into 1
2.201 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.201 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.201 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
2.201 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
2.201 * [taylor]: Taking taylor expansion of 1 in U
2.201 * [backup-simplify]: Simplify 1 into 1
2.202 * [backup-simplify]: Simplify (+ 0 1) into 1
2.202 * [backup-simplify]: Simplify (sqrt 1) into 1
2.202 * [backup-simplify]: Simplify (+ 0 0) into 0
2.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.203 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
2.203 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
2.203 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
2.203 * [taylor]: Taking taylor expansion of 1/4 in U
2.203 * [backup-simplify]: Simplify 1/4 into 1/4
2.203 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
2.203 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.203 * [taylor]: Taking taylor expansion of U in U
2.203 * [backup-simplify]: Simplify 0 into 0
2.203 * [backup-simplify]: Simplify 1 into 1
2.203 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
2.203 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
2.203 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
2.203 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
2.203 * [taylor]: Taking taylor expansion of 1/2 in U
2.204 * [backup-simplify]: Simplify 1/2 into 1/2
2.204 * [taylor]: Taking taylor expansion of K in U
2.204 * [backup-simplify]: Simplify K into K
2.204 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.204 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.204 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.204 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.204 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.204 * [backup-simplify]: Simplify (- 0) into 0
2.204 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.204 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.205 * [taylor]: Taking taylor expansion of J in U
2.205 * [backup-simplify]: Simplify J into J
2.205 * [backup-simplify]: Simplify (* 1 1) into 1
2.205 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.205 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.205 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
2.205 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
2.205 * [taylor]: Taking taylor expansion of 1 in U
2.206 * [backup-simplify]: Simplify 1 into 1
2.206 * [backup-simplify]: Simplify (+ 0 1) into 1
2.206 * [backup-simplify]: Simplify (sqrt 1) into 1
2.207 * [backup-simplify]: Simplify (+ 0 0) into 0
2.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.208 * [taylor]: Taking taylor expansion of 1 in J
2.208 * [backup-simplify]: Simplify 1 into 1
2.208 * [taylor]: Taking taylor expansion of 0 in J
2.208 * [backup-simplify]: Simplify 0 into 0
2.208 * [taylor]: Taking taylor expansion of 1 in K
2.208 * [backup-simplify]: Simplify 1 into 1
2.208 * [backup-simplify]: Simplify 1 into 1
2.208 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
2.208 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
2.210 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
2.210 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
2.210 * [taylor]: Taking taylor expansion of 1/8 in J
2.210 * [backup-simplify]: Simplify 1/8 into 1/8
2.210 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
2.210 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
2.210 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.210 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.210 * [taylor]: Taking taylor expansion of 1/2 in J
2.210 * [backup-simplify]: Simplify 1/2 into 1/2
2.210 * [taylor]: Taking taylor expansion of K in J
2.210 * [backup-simplify]: Simplify K into K
2.210 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.210 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.210 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.211 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.211 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.211 * [backup-simplify]: Simplify (- 0) into 0
2.211 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.211 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.211 * [taylor]: Taking taylor expansion of J in J
2.211 * [backup-simplify]: Simplify 0 into 0
2.211 * [backup-simplify]: Simplify 1 into 1
2.211 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.212 * [backup-simplify]: Simplify (* 1 1) into 1
2.212 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
2.212 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
2.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.213 * [backup-simplify]: Simplify (+ 0) into 0
2.214 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.214 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.215 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.215 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.216 * [backup-simplify]: Simplify (- 0) into 0
2.216 * [backup-simplify]: Simplify (+ 0 0) into 0
2.216 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
2.217 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
2.218 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
2.218 * [taylor]: Taking taylor expansion of 0 in K
2.218 * [backup-simplify]: Simplify 0 into 0
2.218 * [backup-simplify]: Simplify 0 into 0
2.218 * [taylor]: Taking taylor expansion of 0 in K
2.218 * [backup-simplify]: Simplify 0 into 0
2.218 * [backup-simplify]: Simplify 0 into 0
2.218 * [taylor]: Taking taylor expansion of 0 in K
2.218 * [backup-simplify]: Simplify 0 into 0
2.218 * [backup-simplify]: Simplify 0 into 0
2.218 * [backup-simplify]: Simplify 0 into 0
2.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.219 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.219 * [backup-simplify]: Simplify (+ 0) into 0
2.220 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.220 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.221 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.222 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.222 * [backup-simplify]: Simplify (- 0) into 0
2.222 * [backup-simplify]: Simplify (+ 0 0) into 0
2.223 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
2.223 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
2.223 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
2.224 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
2.224 * [backup-simplify]: Simplify (+ 0 0) into 0
2.225 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
2.225 * [taylor]: Taking taylor expansion of 0 in J
2.225 * [backup-simplify]: Simplify 0 into 0
2.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.227 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.228 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.229 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
2.230 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.230 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.231 * [backup-simplify]: Simplify (- 0) into 0
2.231 * [backup-simplify]: Simplify (+ 0 0) into 0
2.232 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
2.232 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
2.233 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
2.233 * [taylor]: Taking taylor expansion of 0 in K
2.233 * [backup-simplify]: Simplify 0 into 0
2.233 * [backup-simplify]: Simplify 0 into 0
2.233 * [taylor]: Taking taylor expansion of 0 in K
2.233 * [backup-simplify]: Simplify 0 into 0
2.233 * [backup-simplify]: Simplify 0 into 0
2.233 * [backup-simplify]: Simplify 1 into 1
2.234 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
2.234 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0
2.234 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
2.234 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
2.234 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
2.234 * [taylor]: Taking taylor expansion of 1/4 in K
2.234 * [backup-simplify]: Simplify 1/4 into 1/4
2.234 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
2.234 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.234 * [taylor]: Taking taylor expansion of J in K
2.234 * [backup-simplify]: Simplify J into J
2.234 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
2.234 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.234 * [taylor]: Taking taylor expansion of U in K
2.234 * [backup-simplify]: Simplify U into U
2.234 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
2.234 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
2.234 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
2.234 * [taylor]: Taking taylor expansion of 1/2 in K
2.234 * [backup-simplify]: Simplify 1/2 into 1/2
2.234 * [taylor]: Taking taylor expansion of K in K
2.234 * [backup-simplify]: Simplify 0 into 0
2.234 * [backup-simplify]: Simplify 1 into 1
2.235 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.235 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.235 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.235 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.235 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.235 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
2.236 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
2.236 * [taylor]: Taking taylor expansion of 1 in K
2.236 * [backup-simplify]: Simplify 1 into 1
2.236 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
2.236 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
2.237 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
2.237 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.237 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.237 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.237 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
2.238 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
2.243 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
2.244 * [backup-simplify]: Simplify (+ 0 0) into 0
2.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
2.245 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
2.245 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
2.245 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
2.245 * [taylor]: Taking taylor expansion of 1/4 in J
2.245 * [backup-simplify]: Simplify 1/4 into 1/4
2.245 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
2.245 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.245 * [taylor]: Taking taylor expansion of J in J
2.245 * [backup-simplify]: Simplify 0 into 0
2.245 * [backup-simplify]: Simplify 1 into 1
2.245 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
2.245 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.245 * [taylor]: Taking taylor expansion of U in J
2.245 * [backup-simplify]: Simplify U into U
2.245 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
2.245 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.245 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.245 * [taylor]: Taking taylor expansion of 1/2 in J
2.245 * [backup-simplify]: Simplify 1/2 into 1/2
2.245 * [taylor]: Taking taylor expansion of K in J
2.245 * [backup-simplify]: Simplify K into K
2.245 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.245 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.245 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.246 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.246 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.246 * [backup-simplify]: Simplify (- 0) into 0
2.246 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.247 * [backup-simplify]: Simplify (* 1 1) into 1
2.247 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.247 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.247 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
2.247 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
2.247 * [taylor]: Taking taylor expansion of 1 in J
2.247 * [backup-simplify]: Simplify 1 into 1
2.248 * [backup-simplify]: Simplify (+ 0 1) into 1
2.248 * [backup-simplify]: Simplify (sqrt 1) into 1
2.249 * [backup-simplify]: Simplify (+ 0 0) into 0
2.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.249 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
2.249 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
2.249 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
2.249 * [taylor]: Taking taylor expansion of 1/4 in U
2.249 * [backup-simplify]: Simplify 1/4 into 1/4
2.249 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
2.249 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.249 * [taylor]: Taking taylor expansion of J in U
2.250 * [backup-simplify]: Simplify J into J
2.250 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
2.250 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.250 * [taylor]: Taking taylor expansion of U in U
2.250 * [backup-simplify]: Simplify 0 into 0
2.250 * [backup-simplify]: Simplify 1 into 1
2.250 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
2.250 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.250 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.250 * [taylor]: Taking taylor expansion of 1/2 in U
2.250 * [backup-simplify]: Simplify 1/2 into 1/2
2.250 * [taylor]: Taking taylor expansion of K in U
2.250 * [backup-simplify]: Simplify K into K
2.250 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.250 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.250 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.250 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.250 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.251 * [backup-simplify]: Simplify (- 0) into 0
2.251 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.251 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.251 * [backup-simplify]: Simplify (* 1 1) into 1
2.251 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.252 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
2.252 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
2.252 * [taylor]: Taking taylor expansion of 1 in U
2.252 * [backup-simplify]: Simplify 1 into 1
2.252 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
2.252 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
2.253 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
2.253 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.253 * [backup-simplify]: Simplify (+ 0) into 0
2.254 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.254 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.254 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.255 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.255 * [backup-simplify]: Simplify (- 0) into 0
2.255 * [backup-simplify]: Simplify (+ 0 0) into 0
2.255 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
2.256 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.257 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
2.257 * [backup-simplify]: Simplify (+ 0 0) into 0
2.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
2.257 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
2.257 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
2.257 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
2.257 * [taylor]: Taking taylor expansion of 1/4 in U
2.257 * [backup-simplify]: Simplify 1/4 into 1/4
2.257 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
2.257 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.257 * [taylor]: Taking taylor expansion of J in U
2.257 * [backup-simplify]: Simplify J into J
2.257 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
2.257 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.257 * [taylor]: Taking taylor expansion of U in U
2.257 * [backup-simplify]: Simplify 0 into 0
2.257 * [backup-simplify]: Simplify 1 into 1
2.257 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
2.257 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.257 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.257 * [taylor]: Taking taylor expansion of 1/2 in U
2.257 * [backup-simplify]: Simplify 1/2 into 1/2
2.257 * [taylor]: Taking taylor expansion of K in U
2.257 * [backup-simplify]: Simplify K into K
2.257 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.258 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.258 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.258 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.258 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.258 * [backup-simplify]: Simplify (- 0) into 0
2.258 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.258 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.258 * [backup-simplify]: Simplify (* 1 1) into 1
2.258 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.258 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
2.259 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
2.259 * [taylor]: Taking taylor expansion of 1 in U
2.259 * [backup-simplify]: Simplify 1 into 1
2.259 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
2.259 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
2.259 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
2.259 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.259 * [backup-simplify]: Simplify (+ 0) into 0
2.260 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.260 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.260 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.260 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.261 * [backup-simplify]: Simplify (- 0) into 0
2.261 * [backup-simplify]: Simplify (+ 0 0) into 0
2.261 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
2.262 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.262 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
2.263 * [backup-simplify]: Simplify (+ 0 0) into 0
2.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
2.263 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
2.263 * [taylor]: Taking taylor expansion of 1/2 in J
2.263 * [backup-simplify]: Simplify 1/2 into 1/2
2.263 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
2.263 * [taylor]: Taking taylor expansion of J in J
2.263 * [backup-simplify]: Simplify 0 into 0
2.263 * [backup-simplify]: Simplify 1 into 1
2.263 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.263 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.263 * [taylor]: Taking taylor expansion of 1/2 in J
2.263 * [backup-simplify]: Simplify 1/2 into 1/2
2.263 * [taylor]: Taking taylor expansion of K in J
2.263 * [backup-simplify]: Simplify K into K
2.263 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.263 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.263 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.263 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.263 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.264 * [backup-simplify]: Simplify (- 0) into 0
2.264 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.264 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
2.264 * [taylor]: Taking taylor expansion of 0 in J
2.264 * [backup-simplify]: Simplify 0 into 0
2.264 * [taylor]: Taking taylor expansion of 0 in K
2.264 * [backup-simplify]: Simplify 0 into 0
2.264 * [backup-simplify]: Simplify 0 into 0
2.264 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
2.264 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
2.264 * [taylor]: Taking taylor expansion of 1/2 in K
2.264 * [backup-simplify]: Simplify 1/2 into 1/2
2.264 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
2.264 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
2.264 * [taylor]: Taking taylor expansion of 1/2 in K
2.264 * [backup-simplify]: Simplify 1/2 into 1/2
2.264 * [taylor]: Taking taylor expansion of K in K
2.264 * [backup-simplify]: Simplify 0 into 0
2.264 * [backup-simplify]: Simplify 1 into 1
2.264 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.264 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.264 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
2.265 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
2.265 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
2.265 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.266 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.266 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.266 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.267 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.267 * [backup-simplify]: Simplify (- 0) into 0
2.267 * [backup-simplify]: Simplify (+ 0 0) into 0
2.268 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
2.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
2.269 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.270 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
2.270 * [backup-simplify]: Simplify (+ 0 1) into 1
2.271 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
2.271 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
2.271 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.271 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.271 * [taylor]: Taking taylor expansion of 1/2 in J
2.271 * [backup-simplify]: Simplify 1/2 into 1/2
2.271 * [taylor]: Taking taylor expansion of K in J
2.271 * [backup-simplify]: Simplify K into K
2.271 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.271 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.271 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.271 * [taylor]: Taking taylor expansion of J in J
2.271 * [backup-simplify]: Simplify 0 into 0
2.271 * [backup-simplify]: Simplify 1 into 1
2.271 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.271 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.271 * [backup-simplify]: Simplify (- 0) into 0
2.271 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.271 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.272 * [backup-simplify]: Simplify (+ 0) into 0
2.272 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.272 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.273 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.273 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.273 * [backup-simplify]: Simplify (- 0) into 0
2.273 * [backup-simplify]: Simplify (+ 0 0) into 0
2.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
2.274 * [taylor]: Taking taylor expansion of 0 in K
2.274 * [backup-simplify]: Simplify 0 into 0
2.274 * [backup-simplify]: Simplify 0 into 0
2.274 * [taylor]: Taking taylor expansion of 0 in K
2.274 * [backup-simplify]: Simplify 0 into 0
2.274 * [backup-simplify]: Simplify 0 into 0
2.274 * [backup-simplify]: Simplify (+ 0) into 0
2.275 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.275 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.276 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.276 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.276 * [backup-simplify]: Simplify (- 0) into 0
2.276 * [backup-simplify]: Simplify (+ 0 0) into 0
2.277 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
2.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
2.277 * [taylor]: Taking taylor expansion of 0 in K
2.277 * [backup-simplify]: Simplify 0 into 0
2.277 * [backup-simplify]: Simplify 0 into 0
2.277 * [backup-simplify]: Simplify 0 into 0
2.277 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
2.277 * [backup-simplify]: Simplify 0 into 0
2.278 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
2.279 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.279 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.279 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.280 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.280 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.281 * [backup-simplify]: Simplify (- 0) into 0
2.281 * [backup-simplify]: Simplify (+ 0 0) into 0
2.282 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
2.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.284 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.285 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
2.286 * [backup-simplify]: Simplify (+ 0 0) into 0
2.286 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
2.286 * [taylor]: Taking taylor expansion of 0 in J
2.286 * [backup-simplify]: Simplify 0 into 0
2.286 * [taylor]: Taking taylor expansion of 0 in K
2.286 * [backup-simplify]: Simplify 0 into 0
2.286 * [backup-simplify]: Simplify 0 into 0
2.286 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
2.287 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
2.287 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0
2.287 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
2.287 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
2.287 * [taylor]: Taking taylor expansion of 1 in K
2.287 * [backup-simplify]: Simplify 1 into 1
2.287 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
2.287 * [taylor]: Taking taylor expansion of 1/4 in K
2.287 * [backup-simplify]: Simplify 1/4 into 1/4
2.287 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
2.287 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.287 * [taylor]: Taking taylor expansion of J in K
2.287 * [backup-simplify]: Simplify J into J
2.287 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
2.287 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
2.287 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.287 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.287 * [taylor]: Taking taylor expansion of -1/2 in K
2.287 * [backup-simplify]: Simplify -1/2 into -1/2
2.287 * [taylor]: Taking taylor expansion of K in K
2.287 * [backup-simplify]: Simplify 0 into 0
2.288 * [backup-simplify]: Simplify 1 into 1
2.288 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.288 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.288 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.288 * [taylor]: Taking taylor expansion of U in K
2.288 * [backup-simplify]: Simplify U into U
2.288 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.288 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.288 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.289 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
2.289 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
2.289 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
2.289 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
2.290 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
2.290 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.290 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.290 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.290 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
2.291 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
2.292 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
2.292 * [backup-simplify]: Simplify (+ 0 0) into 0
2.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
2.293 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
2.293 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
2.293 * [taylor]: Taking taylor expansion of 1 in J
2.293 * [backup-simplify]: Simplify 1 into 1
2.293 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
2.293 * [taylor]: Taking taylor expansion of 1/4 in J
2.293 * [backup-simplify]: Simplify 1/4 into 1/4
2.293 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
2.293 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.293 * [taylor]: Taking taylor expansion of J in J
2.293 * [backup-simplify]: Simplify 0 into 0
2.293 * [backup-simplify]: Simplify 1 into 1
2.293 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
2.293 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
2.293 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.293 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.293 * [taylor]: Taking taylor expansion of -1/2 in J
2.293 * [backup-simplify]: Simplify -1/2 into -1/2
2.293 * [taylor]: Taking taylor expansion of K in J
2.293 * [backup-simplify]: Simplify K into K
2.293 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.293 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.293 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.293 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.294 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.294 * [backup-simplify]: Simplify (- 0) into 0
2.294 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.294 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.294 * [taylor]: Taking taylor expansion of U in J
2.294 * [backup-simplify]: Simplify U into U
2.294 * [backup-simplify]: Simplify (* 1 1) into 1
2.294 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.295 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.295 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
2.295 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
2.295 * [backup-simplify]: Simplify (+ 1 0) into 1
2.295 * [backup-simplify]: Simplify (sqrt 1) into 1
2.296 * [backup-simplify]: Simplify (+ 0 0) into 0
2.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.296 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
2.296 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
2.296 * [taylor]: Taking taylor expansion of 1 in U
2.296 * [backup-simplify]: Simplify 1 into 1
2.296 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
2.296 * [taylor]: Taking taylor expansion of 1/4 in U
2.296 * [backup-simplify]: Simplify 1/4 into 1/4
2.296 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
2.296 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.296 * [taylor]: Taking taylor expansion of J in U
2.296 * [backup-simplify]: Simplify J into J
2.296 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
2.296 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
2.296 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.296 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.296 * [taylor]: Taking taylor expansion of -1/2 in U
2.296 * [backup-simplify]: Simplify -1/2 into -1/2
2.296 * [taylor]: Taking taylor expansion of K in U
2.296 * [backup-simplify]: Simplify K into K
2.296 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.296 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.296 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.296 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.296 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.297 * [backup-simplify]: Simplify (- 0) into 0
2.297 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.297 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.297 * [taylor]: Taking taylor expansion of U in U
2.297 * [backup-simplify]: Simplify 0 into 0
2.297 * [backup-simplify]: Simplify 1 into 1
2.297 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.297 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.297 * [backup-simplify]: Simplify (* 1 1) into 1
2.297 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
2.297 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
2.298 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
2.298 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
2.298 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
2.298 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.299 * [backup-simplify]: Simplify (+ 0) into 0
2.299 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.299 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.299 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.300 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.300 * [backup-simplify]: Simplify (- 0) into 0
2.300 * [backup-simplify]: Simplify (+ 0 0) into 0
2.300 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.301 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
2.301 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
2.301 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
2.302 * [backup-simplify]: Simplify (+ 0 0) into 0
2.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
2.302 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
2.302 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
2.302 * [taylor]: Taking taylor expansion of 1 in U
2.302 * [backup-simplify]: Simplify 1 into 1
2.302 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
2.302 * [taylor]: Taking taylor expansion of 1/4 in U
2.302 * [backup-simplify]: Simplify 1/4 into 1/4
2.302 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
2.302 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.302 * [taylor]: Taking taylor expansion of J in U
2.302 * [backup-simplify]: Simplify J into J
2.302 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
2.302 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
2.302 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.302 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.302 * [taylor]: Taking taylor expansion of -1/2 in U
2.302 * [backup-simplify]: Simplify -1/2 into -1/2
2.302 * [taylor]: Taking taylor expansion of K in U
2.302 * [backup-simplify]: Simplify K into K
2.302 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.302 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.302 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.302 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.302 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.303 * [backup-simplify]: Simplify (- 0) into 0
2.303 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.303 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.303 * [taylor]: Taking taylor expansion of U in U
2.303 * [backup-simplify]: Simplify 0 into 0
2.303 * [backup-simplify]: Simplify 1 into 1
2.303 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.303 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.303 * [backup-simplify]: Simplify (* 1 1) into 1
2.303 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
2.303 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
2.303 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
2.303 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
2.304 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
2.304 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.304 * [backup-simplify]: Simplify (+ 0) into 0
2.305 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.305 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.305 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.306 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.306 * [backup-simplify]: Simplify (- 0) into 0
2.306 * [backup-simplify]: Simplify (+ 0 0) into 0
2.306 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.306 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
2.307 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
2.307 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
2.307 * [backup-simplify]: Simplify (+ 0 0) into 0
2.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
2.308 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
2.308 * [taylor]: Taking taylor expansion of 1/2 in J
2.308 * [backup-simplify]: Simplify 1/2 into 1/2
2.308 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
2.308 * [taylor]: Taking taylor expansion of J in J
2.308 * [backup-simplify]: Simplify 0 into 0
2.308 * [backup-simplify]: Simplify 1 into 1
2.308 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.308 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.308 * [taylor]: Taking taylor expansion of -1/2 in J
2.308 * [backup-simplify]: Simplify -1/2 into -1/2
2.308 * [taylor]: Taking taylor expansion of K in J
2.308 * [backup-simplify]: Simplify K into K
2.308 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.308 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.308 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.308 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.308 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.308 * [backup-simplify]: Simplify (- 0) into 0
2.308 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.308 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
2.308 * [taylor]: Taking taylor expansion of 0 in J
2.308 * [backup-simplify]: Simplify 0 into 0
2.308 * [taylor]: Taking taylor expansion of 0 in K
2.308 * [backup-simplify]: Simplify 0 into 0
2.308 * [backup-simplify]: Simplify 0 into 0
2.309 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
2.309 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
2.309 * [taylor]: Taking taylor expansion of 1/2 in K
2.309 * [backup-simplify]: Simplify 1/2 into 1/2
2.309 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.309 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.309 * [taylor]: Taking taylor expansion of -1/2 in K
2.309 * [backup-simplify]: Simplify -1/2 into -1/2
2.309 * [taylor]: Taking taylor expansion of K in K
2.309 * [backup-simplify]: Simplify 0 into 0
2.309 * [backup-simplify]: Simplify 1 into 1
2.309 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.309 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.309 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
2.309 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
2.309 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
2.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.311 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.311 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.311 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.312 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.312 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.312 * [backup-simplify]: Simplify (- 0) into 0
2.312 * [backup-simplify]: Simplify (+ 0 0) into 0
2.313 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
2.313 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
2.314 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
2.314 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
2.315 * [backup-simplify]: Simplify (+ 1 0) into 1
2.315 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
2.315 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
2.315 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.315 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.315 * [taylor]: Taking taylor expansion of -1/2 in J
2.315 * [backup-simplify]: Simplify -1/2 into -1/2
2.315 * [taylor]: Taking taylor expansion of K in J
2.315 * [backup-simplify]: Simplify K into K
2.315 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.315 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.315 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.315 * [taylor]: Taking taylor expansion of J in J
2.315 * [backup-simplify]: Simplify 0 into 0
2.315 * [backup-simplify]: Simplify 1 into 1
2.315 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.315 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.316 * [backup-simplify]: Simplify (- 0) into 0
2.316 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.316 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.316 * [backup-simplify]: Simplify (+ 0) into 0
2.316 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.317 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.317 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.317 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.318 * [backup-simplify]: Simplify (- 0) into 0
2.318 * [backup-simplify]: Simplify (+ 0 0) into 0
2.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
2.319 * [taylor]: Taking taylor expansion of 0 in K
2.319 * [backup-simplify]: Simplify 0 into 0
2.319 * [backup-simplify]: Simplify 0 into 0
2.319 * [taylor]: Taking taylor expansion of 0 in K
2.319 * [backup-simplify]: Simplify 0 into 0
2.319 * [backup-simplify]: Simplify 0 into 0
2.319 * [backup-simplify]: Simplify (+ 0) into 0
2.319 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.319 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.320 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.320 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.320 * [backup-simplify]: Simplify (- 0) into 0
2.321 * [backup-simplify]: Simplify (+ 0 0) into 0
2.321 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
2.321 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
2.321 * [taylor]: Taking taylor expansion of 0 in K
2.321 * [backup-simplify]: Simplify 0 into 0
2.321 * [backup-simplify]: Simplify 0 into 0
2.321 * [backup-simplify]: Simplify 0 into 0
2.321 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
2.321 * [backup-simplify]: Simplify 0 into 0
2.322 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
2.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.323 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.324 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.324 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.325 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.325 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.326 * [backup-simplify]: Simplify (- 0) into 0
2.326 * [backup-simplify]: Simplify (+ 0 0) into 0
2.327 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
2.327 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.328 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
2.329 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
2.329 * [backup-simplify]: Simplify (+ 0 0) into 0
2.329 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
2.329 * [taylor]: Taking taylor expansion of 0 in J
2.329 * [backup-simplify]: Simplify 0 into 0
2.329 * [taylor]: Taking taylor expansion of 0 in K
2.329 * [backup-simplify]: Simplify 0 into 0
2.329 * [backup-simplify]: Simplify 0 into 0
2.329 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
2.330 * * * * [progress]: [ 2 / 4 ] generating series at (2)
2.330 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))))
2.330 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (U J K) around 0
2.330 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K
2.330 * [taylor]: Taking taylor expansion of -2 in K
2.330 * [backup-simplify]: Simplify -2 into -2
2.330 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K
2.330 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
2.330 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.330 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.330 * [taylor]: Taking taylor expansion of 1/2 in K
2.330 * [backup-simplify]: Simplify 1/2 into 1/2
2.330 * [taylor]: Taking taylor expansion of K in K
2.330 * [backup-simplify]: Simplify 0 into 0
2.330 * [backup-simplify]: Simplify 1 into 1
2.331 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.331 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.331 * [taylor]: Taking taylor expansion of J in K
2.331 * [backup-simplify]: Simplify J into J
2.331 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
2.331 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
2.331 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
2.331 * [taylor]: Taking taylor expansion of 1/4 in K
2.331 * [backup-simplify]: Simplify 1/4 into 1/4
2.331 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
2.331 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.331 * [taylor]: Taking taylor expansion of U in K
2.332 * [backup-simplify]: Simplify U into U
2.332 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
2.332 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
2.332 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.332 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.332 * [taylor]: Taking taylor expansion of 1/2 in K
2.332 * [backup-simplify]: Simplify 1/2 into 1/2
2.332 * [taylor]: Taking taylor expansion of K in K
2.332 * [backup-simplify]: Simplify 0 into 0
2.332 * [backup-simplify]: Simplify 1 into 1
2.332 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.332 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.332 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.332 * [taylor]: Taking taylor expansion of J in K
2.332 * [backup-simplify]: Simplify J into J
2.332 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.333 * [backup-simplify]: Simplify (* 1 1) into 1
2.333 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.333 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
2.333 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
2.333 * [taylor]: Taking taylor expansion of 1 in K
2.333 * [backup-simplify]: Simplify 1 into 1
2.333 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
2.333 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
2.333 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
2.333 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.333 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.334 * [backup-simplify]: Simplify (+ 0) into 0
2.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
2.335 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
2.335 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
2.336 * [backup-simplify]: Simplify (+ 0 0) into 0
2.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
2.336 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J
2.336 * [taylor]: Taking taylor expansion of -2 in J
2.336 * [backup-simplify]: Simplify -2 into -2
2.336 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J
2.336 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
2.336 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.336 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.336 * [taylor]: Taking taylor expansion of 1/2 in J
2.336 * [backup-simplify]: Simplify 1/2 into 1/2
2.336 * [taylor]: Taking taylor expansion of K in J
2.336 * [backup-simplify]: Simplify K into K
2.336 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.336 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.336 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.337 * [taylor]: Taking taylor expansion of J in J
2.337 * [backup-simplify]: Simplify 0 into 0
2.337 * [backup-simplify]: Simplify 1 into 1
2.337 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
2.337 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
2.337 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
2.337 * [taylor]: Taking taylor expansion of 1/4 in J
2.337 * [backup-simplify]: Simplify 1/4 into 1/4
2.337 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
2.337 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.337 * [taylor]: Taking taylor expansion of U in J
2.337 * [backup-simplify]: Simplify U into U
2.337 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
2.337 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
2.337 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.337 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.337 * [taylor]: Taking taylor expansion of 1/2 in J
2.337 * [backup-simplify]: Simplify 1/2 into 1/2
2.337 * [taylor]: Taking taylor expansion of K in J
2.337 * [backup-simplify]: Simplify K into K
2.337 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.337 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.337 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.337 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.337 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.338 * [backup-simplify]: Simplify (- 0) into 0
2.338 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.338 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.338 * [taylor]: Taking taylor expansion of J in J
2.338 * [backup-simplify]: Simplify 0 into 0
2.338 * [backup-simplify]: Simplify 1 into 1
2.338 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.338 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.339 * [backup-simplify]: Simplify (* 1 1) into 1
2.339 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
2.339 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
2.339 * [taylor]: Taking taylor expansion of 1 in J
2.339 * [backup-simplify]: Simplify 1 into 1
2.339 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
2.339 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
2.340 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
2.340 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.341 * [backup-simplify]: Simplify (+ 0) into 0
2.341 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.342 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.343 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.343 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.343 * [backup-simplify]: Simplify (- 0) into 0
2.344 * [backup-simplify]: Simplify (+ 0 0) into 0
2.344 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
2.345 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
2.345 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
2.345 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
2.346 * [backup-simplify]: Simplify (+ 0 0) into 0
2.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
2.346 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U
2.346 * [taylor]: Taking taylor expansion of -2 in U
2.346 * [backup-simplify]: Simplify -2 into -2
2.346 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U
2.346 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
2.346 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
2.346 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
2.346 * [taylor]: Taking taylor expansion of 1/2 in U
2.346 * [backup-simplify]: Simplify 1/2 into 1/2
2.346 * [taylor]: Taking taylor expansion of K in U
2.346 * [backup-simplify]: Simplify K into K
2.346 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.347 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.347 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.347 * [taylor]: Taking taylor expansion of J in U
2.347 * [backup-simplify]: Simplify J into J
2.347 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
2.347 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
2.347 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
2.347 * [taylor]: Taking taylor expansion of 1/4 in U
2.347 * [backup-simplify]: Simplify 1/4 into 1/4
2.347 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
2.347 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.347 * [taylor]: Taking taylor expansion of U in U
2.347 * [backup-simplify]: Simplify 0 into 0
2.347 * [backup-simplify]: Simplify 1 into 1
2.347 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
2.347 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
2.347 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
2.347 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
2.347 * [taylor]: Taking taylor expansion of 1/2 in U
2.347 * [backup-simplify]: Simplify 1/2 into 1/2
2.347 * [taylor]: Taking taylor expansion of K in U
2.347 * [backup-simplify]: Simplify K into K
2.347 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.347 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.347 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.347 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.347 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.348 * [backup-simplify]: Simplify (- 0) into 0
2.348 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.348 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.348 * [taylor]: Taking taylor expansion of J in U
2.348 * [backup-simplify]: Simplify J into J
2.348 * [backup-simplify]: Simplify (* 1 1) into 1
2.349 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.349 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.349 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
2.349 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
2.349 * [taylor]: Taking taylor expansion of 1 in U
2.349 * [backup-simplify]: Simplify 1 into 1
2.350 * [backup-simplify]: Simplify (+ 0 1) into 1
2.350 * [backup-simplify]: Simplify (sqrt 1) into 1
2.350 * [backup-simplify]: Simplify (+ 0 0) into 0
2.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.351 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U
2.351 * [taylor]: Taking taylor expansion of -2 in U
2.351 * [backup-simplify]: Simplify -2 into -2
2.351 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U
2.351 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
2.351 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
2.351 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
2.351 * [taylor]: Taking taylor expansion of 1/2 in U
2.351 * [backup-simplify]: Simplify 1/2 into 1/2
2.351 * [taylor]: Taking taylor expansion of K in U
2.351 * [backup-simplify]: Simplify K into K
2.351 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.351 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.351 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.352 * [taylor]: Taking taylor expansion of J in U
2.352 * [backup-simplify]: Simplify J into J
2.352 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
2.352 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
2.352 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
2.352 * [taylor]: Taking taylor expansion of 1/4 in U
2.352 * [backup-simplify]: Simplify 1/4 into 1/4
2.352 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
2.352 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.352 * [taylor]: Taking taylor expansion of U in U
2.352 * [backup-simplify]: Simplify 0 into 0
2.352 * [backup-simplify]: Simplify 1 into 1
2.352 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
2.352 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
2.352 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
2.352 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
2.352 * [taylor]: Taking taylor expansion of 1/2 in U
2.352 * [backup-simplify]: Simplify 1/2 into 1/2
2.352 * [taylor]: Taking taylor expansion of K in U
2.352 * [backup-simplify]: Simplify K into K
2.352 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.352 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.352 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.352 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.352 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.353 * [backup-simplify]: Simplify (- 0) into 0
2.353 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.353 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.353 * [taylor]: Taking taylor expansion of J in U
2.353 * [backup-simplify]: Simplify J into J
2.353 * [backup-simplify]: Simplify (* 1 1) into 1
2.353 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
2.354 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.354 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
2.354 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
2.354 * [taylor]: Taking taylor expansion of 1 in U
2.354 * [backup-simplify]: Simplify 1 into 1
2.359 * [backup-simplify]: Simplify (+ 0 1) into 1
2.360 * [backup-simplify]: Simplify (sqrt 1) into 1
2.360 * [backup-simplify]: Simplify (+ 0 0) into 0
2.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.361 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.361 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.362 * [backup-simplify]: Simplify (- 0) into 0
2.362 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.362 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J)
2.362 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J)
2.362 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J))
2.362 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J
2.362 * [taylor]: Taking taylor expansion of -2 in J
2.362 * [backup-simplify]: Simplify -2 into -2
2.362 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
2.362 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.362 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.362 * [taylor]: Taking taylor expansion of 1/2 in J
2.362 * [backup-simplify]: Simplify 1/2 into 1/2
2.362 * [taylor]: Taking taylor expansion of K in J
2.363 * [backup-simplify]: Simplify K into K
2.363 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.363 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.363 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.363 * [taylor]: Taking taylor expansion of J in J
2.363 * [backup-simplify]: Simplify 0 into 0
2.363 * [backup-simplify]: Simplify 1 into 1
2.363 * [backup-simplify]: Simplify (+ 0) into 0
2.364 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.364 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.366 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.367 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.367 * [backup-simplify]: Simplify (- 0) into 0
2.367 * [backup-simplify]: Simplify (+ 0 0) into 0
2.368 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0
2.368 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0
2.369 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0
2.369 * [taylor]: Taking taylor expansion of 0 in J
2.369 * [backup-simplify]: Simplify 0 into 0
2.369 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.369 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.369 * [backup-simplify]: Simplify (- 0) into 0
2.369 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.369 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
2.370 * [backup-simplify]: Simplify (* -2 0) into 0
2.370 * [taylor]: Taking taylor expansion of 0 in K
2.370 * [backup-simplify]: Simplify 0 into 0
2.370 * [backup-simplify]: Simplify 0 into 0
2.370 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
2.370 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
2.372 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
2.373 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.373 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.374 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
2.375 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.376 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.376 * [backup-simplify]: Simplify (- 0) into 0
2.376 * [backup-simplify]: Simplify (+ 0 0) into 0
2.377 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0
2.378 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))
2.379 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))))
2.379 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J
2.379 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J
2.379 * [taylor]: Taking taylor expansion of 1/4 in J
2.379 * [backup-simplify]: Simplify 1/4 into 1/4
2.379 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J
2.379 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
2.379 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
2.379 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
2.379 * [taylor]: Taking taylor expansion of 1/2 in J
2.379 * [backup-simplify]: Simplify 1/2 into 1/2
2.379 * [taylor]: Taking taylor expansion of K in J
2.379 * [backup-simplify]: Simplify K into K
2.379 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
2.379 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
2.379 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
2.379 * [taylor]: Taking taylor expansion of J in J
2.379 * [backup-simplify]: Simplify 0 into 0
2.379 * [backup-simplify]: Simplify 1 into 1
2.379 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
2.379 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
2.380 * [backup-simplify]: Simplify (- 0) into 0
2.380 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
2.380 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
2.380 * [backup-simplify]: Simplify (+ 0) into 0
2.381 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.381 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.382 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.382 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.383 * [backup-simplify]: Simplify (- 0) into 0
2.383 * [backup-simplify]: Simplify (+ 0 0) into 0
2.384 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
2.384 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K)))
2.384 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K)))
2.384 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K)))))
2.384 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K
2.384 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K
2.384 * [taylor]: Taking taylor expansion of 1/4 in K
2.384 * [backup-simplify]: Simplify 1/4 into 1/4
2.384 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K
2.384 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.384 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.384 * [taylor]: Taking taylor expansion of 1/2 in K
2.384 * [backup-simplify]: Simplify 1/2 into 1/2
2.384 * [taylor]: Taking taylor expansion of K in K
2.384 * [backup-simplify]: Simplify 0 into 0
2.384 * [backup-simplify]: Simplify 1 into 1
2.385 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.385 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.386 * [backup-simplify]: Simplify (/ 1 1) into 1
2.386 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.387 * [backup-simplify]: Simplify (- 1/4) into -1/4
2.387 * [backup-simplify]: Simplify -1/4 into -1/4
2.387 * [taylor]: Taking taylor expansion of 0 in K
2.387 * [backup-simplify]: Simplify 0 into 0
2.387 * [backup-simplify]: Simplify 0 into 0
2.387 * [backup-simplify]: Simplify (+ 0) into 0
2.388 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.388 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.389 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.389 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.390 * [backup-simplify]: Simplify (- 0) into 0
2.390 * [backup-simplify]: Simplify (+ 0 0) into 0
2.390 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
2.391 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K))))
2.391 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K
2.391 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K
2.391 * [taylor]: Taking taylor expansion of 2 in K
2.391 * [backup-simplify]: Simplify 2 into 2
2.391 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
2.391 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
2.391 * [taylor]: Taking taylor expansion of 1/2 in K
2.391 * [backup-simplify]: Simplify 1/2 into 1/2
2.391 * [taylor]: Taking taylor expansion of K in K
2.391 * [backup-simplify]: Simplify 0 into 0
2.391 * [backup-simplify]: Simplify 1 into 1
2.391 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.392 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.392 * [backup-simplify]: Simplify (* 2 1) into 2
2.392 * [backup-simplify]: Simplify (- 2) into -2
2.392 * [backup-simplify]: Simplify -2 into -2
2.392 * [backup-simplify]: Simplify 0 into 0
2.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.393 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.393 * [backup-simplify]: Simplify (+ 0) into 0
2.393 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
2.394 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
2.394 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.395 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
2.395 * [backup-simplify]: Simplify (- 0) into 0
2.395 * [backup-simplify]: Simplify (+ 0 0) into 0
2.395 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
2.395 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
2.396 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
2.396 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
2.396 * [backup-simplify]: Simplify (+ 0 0) into 0
2.397 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
2.397 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.398 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.399 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
2.399 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.400 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.400 * [backup-simplify]: Simplify (- 0) into 0
2.400 * [backup-simplify]: Simplify (+ 0 0) into 0
2.401 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
2.401 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0
2.402 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0
2.402 * [taylor]: Taking taylor expansion of 0 in J
2.402 * [backup-simplify]: Simplify 0 into 0
2.403 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.403 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.404 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
2.404 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.404 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.405 * [backup-simplify]: Simplify (- 0) into 0
2.405 * [backup-simplify]: Simplify (+ 0 0) into 0
2.405 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
2.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0
2.406 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0
2.406 * [backup-simplify]: Simplify (- 0) into 0
2.406 * [taylor]: Taking taylor expansion of 0 in K
2.406 * [backup-simplify]: Simplify 0 into 0
2.406 * [backup-simplify]: Simplify 0 into 0
2.406 * [taylor]: Taking taylor expansion of 0 in K
2.406 * [backup-simplify]: Simplify 0 into 0
2.406 * [backup-simplify]: Simplify 0 into 0
2.407 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.407 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.408 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
2.408 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.409 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.409 * [backup-simplify]: Simplify (- 0) into 0
2.409 * [backup-simplify]: Simplify (+ 0 0) into 0
2.410 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
2.410 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0
2.410 * [taylor]: Taking taylor expansion of 0 in K
2.410 * [backup-simplify]: Simplify 0 into 0
2.410 * [backup-simplify]: Simplify 0 into 0
2.410 * [backup-simplify]: Simplify (+ 0) into 0
2.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.411 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.412 * [backup-simplify]: Simplify (- 0) into 0
2.412 * [backup-simplify]: Simplify 0 into 0
2.412 * [backup-simplify]: Simplify 0 into 0
2.412 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J))))
2.412 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))
2.412 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (U J K) around 0
2.412 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K
2.412 * [taylor]: Taking taylor expansion of -2 in K
2.413 * [backup-simplify]: Simplify -2 into -2
2.413 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K
2.413 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
2.413 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
2.413 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
2.413 * [taylor]: Taking taylor expansion of 1/4 in K
2.413 * [backup-simplify]: Simplify 1/4 into 1/4
2.413 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
2.413 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.413 * [taylor]: Taking taylor expansion of J in K
2.413 * [backup-simplify]: Simplify J into J
2.413 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
2.413 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.413 * [taylor]: Taking taylor expansion of U in K
2.413 * [backup-simplify]: Simplify U into U
2.413 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
2.413 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
2.413 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
2.413 * [taylor]: Taking taylor expansion of 1/2 in K
2.413 * [backup-simplify]: Simplify 1/2 into 1/2
2.413 * [taylor]: Taking taylor expansion of K in K
2.413 * [backup-simplify]: Simplify 0 into 0
2.413 * [backup-simplify]: Simplify 1 into 1
2.413 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.413 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.413 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.413 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.413 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.414 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
2.414 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
2.414 * [taylor]: Taking taylor expansion of 1 in K
2.414 * [backup-simplify]: Simplify 1 into 1
2.414 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
2.414 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
2.414 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
2.414 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.414 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.415 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.415 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
2.415 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
2.415 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
2.416 * [backup-simplify]: Simplify (+ 0 0) into 0
2.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
2.416 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
2.416 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
2.416 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
2.416 * [taylor]: Taking taylor expansion of 1/2 in K
2.416 * [backup-simplify]: Simplify 1/2 into 1/2
2.416 * [taylor]: Taking taylor expansion of K in K
2.416 * [backup-simplify]: Simplify 0 into 0
2.416 * [backup-simplify]: Simplify 1 into 1
2.416 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.416 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.417 * [taylor]: Taking taylor expansion of J in K
2.417 * [backup-simplify]: Simplify J into J
2.417 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
2.417 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J
2.417 * [taylor]: Taking taylor expansion of -2 in J
2.417 * [backup-simplify]: Simplify -2 into -2
2.417 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J
2.417 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
2.417 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
2.417 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
2.417 * [taylor]: Taking taylor expansion of 1/4 in J
2.417 * [backup-simplify]: Simplify 1/4 into 1/4
2.417 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
2.417 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.417 * [taylor]: Taking taylor expansion of J in J
2.417 * [backup-simplify]: Simplify 0 into 0
2.417 * [backup-simplify]: Simplify 1 into 1
2.417 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
2.417 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.417 * [taylor]: Taking taylor expansion of U in J
2.417 * [backup-simplify]: Simplify U into U
2.417 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
2.417 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.417 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.417 * [taylor]: Taking taylor expansion of 1/2 in J
2.417 * [backup-simplify]: Simplify 1/2 into 1/2
2.417 * [taylor]: Taking taylor expansion of K in J
2.417 * [backup-simplify]: Simplify K into K
2.417 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.417 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.417 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.417 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.417 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.417 * [backup-simplify]: Simplify (- 0) into 0
2.418 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.418 * [backup-simplify]: Simplify (* 1 1) into 1
2.418 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.418 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.418 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
2.418 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
2.418 * [taylor]: Taking taylor expansion of 1 in J
2.418 * [backup-simplify]: Simplify 1 into 1
2.418 * [backup-simplify]: Simplify (+ 0 1) into 1
2.419 * [backup-simplify]: Simplify (sqrt 1) into 1
2.419 * [backup-simplify]: Simplify (+ 0 0) into 0
2.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.419 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
2.419 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.419 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.419 * [taylor]: Taking taylor expansion of 1/2 in J
2.419 * [backup-simplify]: Simplify 1/2 into 1/2
2.419 * [taylor]: Taking taylor expansion of K in J
2.420 * [backup-simplify]: Simplify K into K
2.420 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.420 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.420 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.420 * [taylor]: Taking taylor expansion of J in J
2.420 * [backup-simplify]: Simplify 0 into 0
2.420 * [backup-simplify]: Simplify 1 into 1
2.420 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.420 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.420 * [backup-simplify]: Simplify (- 0) into 0
2.420 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.420 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.420 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U
2.420 * [taylor]: Taking taylor expansion of -2 in U
2.420 * [backup-simplify]: Simplify -2 into -2
2.420 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U
2.420 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
2.420 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
2.420 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
2.420 * [taylor]: Taking taylor expansion of 1/4 in U
2.420 * [backup-simplify]: Simplify 1/4 into 1/4
2.420 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
2.420 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.420 * [taylor]: Taking taylor expansion of J in U
2.420 * [backup-simplify]: Simplify J into J
2.420 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
2.420 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.420 * [taylor]: Taking taylor expansion of U in U
2.420 * [backup-simplify]: Simplify 0 into 0
2.420 * [backup-simplify]: Simplify 1 into 1
2.420 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
2.420 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.420 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.420 * [taylor]: Taking taylor expansion of 1/2 in U
2.421 * [backup-simplify]: Simplify 1/2 into 1/2
2.421 * [taylor]: Taking taylor expansion of K in U
2.421 * [backup-simplify]: Simplify K into K
2.421 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.421 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.421 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.421 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.421 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.421 * [backup-simplify]: Simplify (- 0) into 0
2.421 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.421 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.421 * [backup-simplify]: Simplify (* 1 1) into 1
2.421 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.422 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
2.422 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
2.422 * [taylor]: Taking taylor expansion of 1 in U
2.422 * [backup-simplify]: Simplify 1 into 1
2.422 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
2.422 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
2.422 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
2.422 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.422 * [backup-simplify]: Simplify (+ 0) into 0
2.423 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.423 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.423 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.424 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.424 * [backup-simplify]: Simplify (- 0) into 0
2.424 * [backup-simplify]: Simplify (+ 0 0) into 0
2.424 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
2.425 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.426 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
2.426 * [backup-simplify]: Simplify (+ 0 0) into 0
2.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
2.426 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
2.426 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.426 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.426 * [taylor]: Taking taylor expansion of 1/2 in U
2.426 * [backup-simplify]: Simplify 1/2 into 1/2
2.426 * [taylor]: Taking taylor expansion of K in U
2.426 * [backup-simplify]: Simplify K into K
2.426 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.426 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.426 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.426 * [taylor]: Taking taylor expansion of J in U
2.426 * [backup-simplify]: Simplify J into J
2.427 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.427 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.427 * [backup-simplify]: Simplify (- 0) into 0
2.427 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.427 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
2.427 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U
2.427 * [taylor]: Taking taylor expansion of -2 in U
2.427 * [backup-simplify]: Simplify -2 into -2
2.427 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U
2.427 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
2.428 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
2.428 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
2.428 * [taylor]: Taking taylor expansion of 1/4 in U
2.428 * [backup-simplify]: Simplify 1/4 into 1/4
2.428 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
2.428 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.428 * [taylor]: Taking taylor expansion of J in U
2.428 * [backup-simplify]: Simplify J into J
2.428 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
2.428 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.428 * [taylor]: Taking taylor expansion of U in U
2.428 * [backup-simplify]: Simplify 0 into 0
2.428 * [backup-simplify]: Simplify 1 into 1
2.428 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
2.428 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.428 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.428 * [taylor]: Taking taylor expansion of 1/2 in U
2.428 * [backup-simplify]: Simplify 1/2 into 1/2
2.428 * [taylor]: Taking taylor expansion of K in U
2.428 * [backup-simplify]: Simplify K into K
2.428 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.428 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.428 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.428 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.428 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.429 * [backup-simplify]: Simplify (- 0) into 0
2.429 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.429 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.429 * [backup-simplify]: Simplify (* 1 1) into 1
2.430 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.430 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
2.430 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
2.430 * [taylor]: Taking taylor expansion of 1 in U
2.430 * [backup-simplify]: Simplify 1 into 1
2.430 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
2.430 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
2.431 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
2.431 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.431 * [backup-simplify]: Simplify (+ 0) into 0
2.432 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.432 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.433 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.433 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.433 * [backup-simplify]: Simplify (- 0) into 0
2.434 * [backup-simplify]: Simplify (+ 0 0) into 0
2.434 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
2.435 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.436 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
2.436 * [backup-simplify]: Simplify (+ 0 0) into 0
2.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
2.437 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
2.437 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
2.437 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
2.437 * [taylor]: Taking taylor expansion of 1/2 in U
2.437 * [backup-simplify]: Simplify 1/2 into 1/2
2.437 * [taylor]: Taking taylor expansion of K in U
2.437 * [backup-simplify]: Simplify K into K
2.437 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.437 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.437 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.437 * [taylor]: Taking taylor expansion of J in U
2.437 * [backup-simplify]: Simplify J into J
2.437 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.438 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.438 * [backup-simplify]: Simplify (- 0) into 0
2.438 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.438 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
2.439 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2
2.439 * [backup-simplify]: Simplify (* -2 1/2) into -1
2.439 * [taylor]: Taking taylor expansion of -1 in J
2.439 * [backup-simplify]: Simplify -1 into -1
2.440 * [backup-simplify]: Simplify (+ 0) into 0
2.440 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.440 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.441 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.441 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.442 * [backup-simplify]: Simplify (- 0) into 0
2.442 * [backup-simplify]: Simplify (+ 0 0) into 0
2.442 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0
2.443 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0
2.443 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0
2.443 * [taylor]: Taking taylor expansion of 0 in J
2.443 * [backup-simplify]: Simplify 0 into 0
2.443 * [taylor]: Taking taylor expansion of -1 in K
2.443 * [backup-simplify]: Simplify -1 into -1
2.443 * [backup-simplify]: Simplify -1 into -1
2.444 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.445 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.445 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.446 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.447 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.447 * [backup-simplify]: Simplify (- 0) into 0
2.447 * [backup-simplify]: Simplify (+ 0 0) into 0
2.447 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
2.448 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
2.449 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.449 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.450 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.450 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.451 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.451 * [backup-simplify]: Simplify (- 0) into 0
2.452 * [backup-simplify]: Simplify (+ 0 0) into 0
2.452 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
2.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
2.454 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.455 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
2.456 * [backup-simplify]: Simplify (+ 0 1) into 1
2.457 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
2.457 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (/ (cos (/ 1/2 K)) J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))
2.458 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))))
2.458 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J
2.458 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J
2.458 * [taylor]: Taking taylor expansion of 2 in J
2.458 * [backup-simplify]: Simplify 2 into 2
2.458 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J
2.458 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
2.458 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
2.459 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
2.459 * [taylor]: Taking taylor expansion of 1/2 in J
2.459 * [backup-simplify]: Simplify 1/2 into 1/2
2.459 * [taylor]: Taking taylor expansion of K in J
2.459 * [backup-simplify]: Simplify K into K
2.459 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
2.459 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
2.459 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
2.459 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
2.459 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
2.459 * [backup-simplify]: Simplify (- 0) into 0
2.459 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
2.460 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.460 * [taylor]: Taking taylor expansion of J in J
2.460 * [backup-simplify]: Simplify 0 into 0
2.460 * [backup-simplify]: Simplify 1 into 1
2.460 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
2.460 * [backup-simplify]: Simplify (* 1 1) into 1
2.460 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2)
2.461 * [backup-simplify]: Simplify (+ 0) into 0
2.461 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
2.461 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
2.462 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.462 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
2.463 * [backup-simplify]: Simplify (- 0) into 0
2.463 * [backup-simplify]: Simplify (+ 0 0) into 0
2.463 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
2.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0
2.466 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
2.466 * [backup-simplify]: Simplify (- 0) into 0
2.466 * [taylor]: Taking taylor expansion of 0 in K
2.466 * [backup-simplify]: Simplify 0 into 0
2.466 * [backup-simplify]: Simplify 0 into 0
2.466 * [taylor]: Taking taylor expansion of 0 in K
2.466 * [backup-simplify]: Simplify 0 into 0
2.466 * [backup-simplify]: Simplify 0 into 0
2.466 * [taylor]: Taking taylor expansion of 0 in K
2.466 * [backup-simplify]: Simplify 0 into 0
2.466 * [backup-simplify]: Simplify 0 into 0
2.466 * [backup-simplify]: Simplify 0 into 0
2.468 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.469 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.469 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.471 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.472 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.472 * [backup-simplify]: Simplify (- 0) into 0
2.472 * [backup-simplify]: Simplify (+ 0 0) into 0
2.473 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
2.474 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
2.475 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.475 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.476 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.477 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.478 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.479 * [backup-simplify]: Simplify (- 0) into 0
2.479 * [backup-simplify]: Simplify (+ 0 0) into 0
2.480 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
2.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.483 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
2.484 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
2.891 * [backup-simplify]: Simplify (+ 0 0) into 0
2.892 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
2.959 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0
2.960 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0
2.960 * [taylor]: Taking taylor expansion of 0 in J
2.960 * [backup-simplify]: Simplify 0 into 0
2.961 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.962 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
2.962 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
2.963 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.964 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
2.964 * [backup-simplify]: Simplify (- 0) into 0
2.964 * [backup-simplify]: Simplify (+ 0 0) into 0
2.965 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
2.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.969 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
2.969 * [backup-simplify]: Simplify (- 0) into 0
2.969 * [taylor]: Taking taylor expansion of 0 in K
2.969 * [backup-simplify]: Simplify 0 into 0
2.969 * [backup-simplify]: Simplify 0 into 0
2.970 * [taylor]: Taking taylor expansion of 0 in K
2.970 * [backup-simplify]: Simplify 0 into 0
2.970 * [backup-simplify]: Simplify 0 into 0
2.970 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U)
2.971 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J))))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))
2.971 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (U J K) around 0
2.971 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K
2.971 * [taylor]: Taking taylor expansion of 2 in K
2.971 * [backup-simplify]: Simplify 2 into 2
2.971 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K
2.971 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
2.971 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.971 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.971 * [taylor]: Taking taylor expansion of -1/2 in K
2.971 * [backup-simplify]: Simplify -1/2 into -1/2
2.971 * [taylor]: Taking taylor expansion of K in K
2.971 * [backup-simplify]: Simplify 0 into 0
2.971 * [backup-simplify]: Simplify 1 into 1
2.972 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.972 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.972 * [taylor]: Taking taylor expansion of J in K
2.972 * [backup-simplify]: Simplify J into J
2.972 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
2.972 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
2.972 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
2.972 * [taylor]: Taking taylor expansion of 1 in K
2.972 * [backup-simplify]: Simplify 1 into 1
2.972 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
2.972 * [taylor]: Taking taylor expansion of 1/4 in K
2.972 * [backup-simplify]: Simplify 1/4 into 1/4
2.972 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
2.972 * [taylor]: Taking taylor expansion of (pow J 2) in K
2.972 * [taylor]: Taking taylor expansion of J in K
2.972 * [backup-simplify]: Simplify J into J
2.972 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
2.972 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
2.972 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
2.972 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
2.972 * [taylor]: Taking taylor expansion of -1/2 in K
2.972 * [backup-simplify]: Simplify -1/2 into -1/2
2.972 * [taylor]: Taking taylor expansion of K in K
2.972 * [backup-simplify]: Simplify 0 into 0
2.972 * [backup-simplify]: Simplify 1 into 1
2.973 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
2.973 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.973 * [taylor]: Taking taylor expansion of (pow U 2) in K
2.973 * [taylor]: Taking taylor expansion of U in K
2.973 * [backup-simplify]: Simplify U into U
2.973 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.973 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.973 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.973 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
2.974 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
2.974 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
2.974 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
2.975 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
2.975 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.975 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
2.975 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.975 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
2.976 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
2.977 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
2.978 * [backup-simplify]: Simplify (+ 0 0) into 0
2.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
2.978 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J
2.979 * [taylor]: Taking taylor expansion of 2 in J
2.979 * [backup-simplify]: Simplify 2 into 2
2.979 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J
2.979 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
2.979 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.979 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.979 * [taylor]: Taking taylor expansion of -1/2 in J
2.979 * [backup-simplify]: Simplify -1/2 into -1/2
2.979 * [taylor]: Taking taylor expansion of K in J
2.979 * [backup-simplify]: Simplify K into K
2.979 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.979 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.979 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.979 * [taylor]: Taking taylor expansion of J in J
2.979 * [backup-simplify]: Simplify 0 into 0
2.979 * [backup-simplify]: Simplify 1 into 1
2.979 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.979 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.980 * [backup-simplify]: Simplify (- 0) into 0
2.980 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.980 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.980 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
2.980 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
2.980 * [taylor]: Taking taylor expansion of 1 in J
2.980 * [backup-simplify]: Simplify 1 into 1
2.980 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
2.980 * [taylor]: Taking taylor expansion of 1/4 in J
2.980 * [backup-simplify]: Simplify 1/4 into 1/4
2.980 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
2.980 * [taylor]: Taking taylor expansion of (pow J 2) in J
2.980 * [taylor]: Taking taylor expansion of J in J
2.980 * [backup-simplify]: Simplify 0 into 0
2.980 * [backup-simplify]: Simplify 1 into 1
2.980 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
2.980 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
2.980 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
2.980 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
2.980 * [taylor]: Taking taylor expansion of -1/2 in J
2.981 * [backup-simplify]: Simplify -1/2 into -1/2
2.981 * [taylor]: Taking taylor expansion of K in J
2.981 * [backup-simplify]: Simplify K into K
2.981 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.981 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.981 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.981 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.981 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.982 * [backup-simplify]: Simplify (- 0) into 0
2.982 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.982 * [taylor]: Taking taylor expansion of (pow U 2) in J
2.982 * [taylor]: Taking taylor expansion of U in J
2.982 * [backup-simplify]: Simplify U into U
2.982 * [backup-simplify]: Simplify (* 1 1) into 1
2.982 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.982 * [backup-simplify]: Simplify (* U U) into (pow U 2)
2.983 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
2.983 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
2.983 * [backup-simplify]: Simplify (+ 1 0) into 1
2.984 * [backup-simplify]: Simplify (sqrt 1) into 1
2.984 * [backup-simplify]: Simplify (+ 0 0) into 0
2.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.985 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
2.985 * [taylor]: Taking taylor expansion of 2 in U
2.985 * [backup-simplify]: Simplify 2 into 2
2.985 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
2.985 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
2.985 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.985 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.985 * [taylor]: Taking taylor expansion of -1/2 in U
2.985 * [backup-simplify]: Simplify -1/2 into -1/2
2.985 * [taylor]: Taking taylor expansion of K in U
2.985 * [backup-simplify]: Simplify K into K
2.985 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.985 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.986 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.986 * [taylor]: Taking taylor expansion of J in U
2.986 * [backup-simplify]: Simplify J into J
2.986 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.986 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.986 * [backup-simplify]: Simplify (- 0) into 0
2.986 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.986 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
2.986 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
2.986 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
2.987 * [taylor]: Taking taylor expansion of 1 in U
2.987 * [backup-simplify]: Simplify 1 into 1
2.987 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
2.987 * [taylor]: Taking taylor expansion of 1/4 in U
2.987 * [backup-simplify]: Simplify 1/4 into 1/4
2.987 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
2.987 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.987 * [taylor]: Taking taylor expansion of J in U
2.987 * [backup-simplify]: Simplify J into J
2.987 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
2.987 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
2.987 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.987 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.987 * [taylor]: Taking taylor expansion of -1/2 in U
2.987 * [backup-simplify]: Simplify -1/2 into -1/2
2.987 * [taylor]: Taking taylor expansion of K in U
2.987 * [backup-simplify]: Simplify K into K
2.987 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.987 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.987 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.987 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.987 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.988 * [backup-simplify]: Simplify (- 0) into 0
2.988 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.988 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.988 * [taylor]: Taking taylor expansion of U in U
2.988 * [backup-simplify]: Simplify 0 into 0
2.988 * [backup-simplify]: Simplify 1 into 1
2.988 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.988 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
2.989 * [backup-simplify]: Simplify (* 1 1) into 1
2.989 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
2.989 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
2.989 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
2.989 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
2.990 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
2.990 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
2.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.991 * [backup-simplify]: Simplify (+ 0) into 0
2.991 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
2.992 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
2.992 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.993 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
2.993 * [backup-simplify]: Simplify (- 0) into 0
2.994 * [backup-simplify]: Simplify (+ 0 0) into 0
2.994 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
2.994 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
2.995 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
2.995 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
2.996 * [backup-simplify]: Simplify (+ 0 0) into 0
2.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
2.996 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
2.996 * [taylor]: Taking taylor expansion of 2 in U
2.996 * [backup-simplify]: Simplify 2 into 2
2.996 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
2.996 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
2.996 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.996 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.996 * [taylor]: Taking taylor expansion of -1/2 in U
2.996 * [backup-simplify]: Simplify -1/2 into -1/2
2.996 * [taylor]: Taking taylor expansion of K in U
2.997 * [backup-simplify]: Simplify K into K
2.997 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.997 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.997 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.997 * [taylor]: Taking taylor expansion of J in U
2.997 * [backup-simplify]: Simplify J into J
2.997 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.997 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.997 * [backup-simplify]: Simplify (- 0) into 0
2.997 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.998 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
2.998 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
2.998 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
2.998 * [taylor]: Taking taylor expansion of 1 in U
2.998 * [backup-simplify]: Simplify 1 into 1
2.998 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
2.998 * [taylor]: Taking taylor expansion of 1/4 in U
2.998 * [backup-simplify]: Simplify 1/4 into 1/4
2.998 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
2.998 * [taylor]: Taking taylor expansion of (pow J 2) in U
2.998 * [taylor]: Taking taylor expansion of J in U
2.998 * [backup-simplify]: Simplify J into J
2.998 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
2.998 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
2.998 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
2.998 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
2.998 * [taylor]: Taking taylor expansion of -1/2 in U
2.998 * [backup-simplify]: Simplify -1/2 into -1/2
2.998 * [taylor]: Taking taylor expansion of K in U
2.998 * [backup-simplify]: Simplify K into K
2.998 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
2.998 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
2.998 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
2.998 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
2.998 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
2.999 * [backup-simplify]: Simplify (- 0) into 0
2.999 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
2.999 * [taylor]: Taking taylor expansion of (pow U 2) in U
2.999 * [taylor]: Taking taylor expansion of U in U
2.999 * [backup-simplify]: Simplify 0 into 0
2.999 * [backup-simplify]: Simplify 1 into 1
2.999 * [backup-simplify]: Simplify (* J J) into (pow J 2)
2.999 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
3.000 * [backup-simplify]: Simplify (* 1 1) into 1
3.000 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
3.000 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
3.000 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
3.001 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
3.001 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
3.001 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
3.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.002 * [backup-simplify]: Simplify (+ 0) into 0
3.003 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
3.003 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
3.004 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.004 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
3.004 * [backup-simplify]: Simplify (- 0) into 0
3.005 * [backup-simplify]: Simplify (+ 0 0) into 0
3.005 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
3.005 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
3.006 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
3.007 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
3.007 * [backup-simplify]: Simplify (+ 0 0) into 0
3.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
3.008 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2
3.008 * [backup-simplify]: Simplify (* 2 1/2) into 1
3.008 * [taylor]: Taking taylor expansion of 1 in J
3.008 * [backup-simplify]: Simplify 1 into 1
3.008 * [backup-simplify]: Simplify (+ 0) into 0
3.009 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
3.009 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
3.010 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.010 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
3.011 * [backup-simplify]: Simplify (- 0) into 0
3.011 * [backup-simplify]: Simplify (+ 0 0) into 0
3.011 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0
3.012 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
3.012 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0
3.012 * [taylor]: Taking taylor expansion of 0 in J
3.012 * [backup-simplify]: Simplify 0 into 0
3.013 * [taylor]: Taking taylor expansion of 1 in K
3.013 * [backup-simplify]: Simplify 1 into 1
3.013 * [backup-simplify]: Simplify 1 into 1
3.013 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
3.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.015 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.016 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
3.016 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
3.017 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.017 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
3.018 * [backup-simplify]: Simplify (- 0) into 0
3.018 * [backup-simplify]: Simplify (+ 0 0) into 0
3.019 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
3.020 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
3.020 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
3.021 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
3.022 * [backup-simplify]: Simplify (+ 1 0) into 1
3.022 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
3.024 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.024 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
3.025 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
3.026 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.026 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
3.027 * [backup-simplify]: Simplify (- 0) into 0
3.027 * [backup-simplify]: Simplify (+ 0 0) into 0
3.027 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
3.028 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))
3.029 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))
3.029 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J
3.029 * [taylor]: Taking taylor expansion of 2 in J
3.029 * [backup-simplify]: Simplify 2 into 2
3.029 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J
3.029 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
3.029 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
3.029 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
3.029 * [taylor]: Taking taylor expansion of -1/2 in J
3.029 * [backup-simplify]: Simplify -1/2 into -1/2
3.029 * [taylor]: Taking taylor expansion of K in J
3.029 * [backup-simplify]: Simplify K into K
3.029 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
3.030 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
3.030 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
3.030 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
3.030 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
3.030 * [backup-simplify]: Simplify (- 0) into 0
3.030 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
3.030 * [taylor]: Taking taylor expansion of (pow J 2) in J
3.030 * [taylor]: Taking taylor expansion of J in J
3.030 * [backup-simplify]: Simplify 0 into 0
3.030 * [backup-simplify]: Simplify 1 into 1
3.031 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
3.031 * [backup-simplify]: Simplify (* 1 1) into 1
3.031 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
3.032 * [backup-simplify]: Simplify (+ 0) into 0
3.032 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
3.032 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
3.033 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.033 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
3.034 * [backup-simplify]: Simplify (- 0) into 0
3.034 * [backup-simplify]: Simplify (+ 0 0) into 0
3.034 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
3.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0
3.037 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
3.037 * [taylor]: Taking taylor expansion of 0 in K
3.037 * [backup-simplify]: Simplify 0 into 0
3.037 * [backup-simplify]: Simplify 0 into 0
3.037 * [taylor]: Taking taylor expansion of 0 in K
3.037 * [backup-simplify]: Simplify 0 into 0
3.037 * [backup-simplify]: Simplify 0 into 0
3.037 * [taylor]: Taking taylor expansion of 0 in K
3.037 * [backup-simplify]: Simplify 0 into 0
3.037 * [backup-simplify]: Simplify 0 into 0
3.037 * [backup-simplify]: Simplify 0 into 0
3.038 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
3.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.040 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.041 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.041 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
3.043 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.044 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.044 * [backup-simplify]: Simplify (- 0) into 0
3.045 * [backup-simplify]: Simplify (+ 0 0) into 0
3.046 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
3.047 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.047 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
3.050 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
3.050 * [backup-simplify]: Simplify (+ 0 0) into 0
3.050 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
3.051 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.052 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.053 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
3.054 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.055 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.056 * [backup-simplify]: Simplify (- 0) into 0
3.056 * [backup-simplify]: Simplify (+ 0 0) into 0
3.056 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
3.057 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0
3.059 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0
3.059 * [taylor]: Taking taylor expansion of 0 in J
3.059 * [backup-simplify]: Simplify 0 into 0
3.060 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.060 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
3.061 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
3.061 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.062 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
3.062 * [backup-simplify]: Simplify (- 0) into 0
3.063 * [backup-simplify]: Simplify (+ 0 0) into 0
3.063 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
3.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.067 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
3.067 * [taylor]: Taking taylor expansion of 0 in K
3.067 * [backup-simplify]: Simplify 0 into 0
3.067 * [backup-simplify]: Simplify 0 into 0
3.067 * [taylor]: Taking taylor expansion of 0 in K
3.067 * [backup-simplify]: Simplify 0 into 0
3.067 * [backup-simplify]: Simplify 0 into 0
3.067 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U)
3.067 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1)
3.068 * [backup-simplify]: Simplify (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
3.068 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in (U J K) around 0
3.068 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
3.068 * [taylor]: Taking taylor expansion of 1/4 in K
3.068 * [backup-simplify]: Simplify 1/4 into 1/4
3.068 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
3.068 * [taylor]: Taking taylor expansion of (pow U 2) in K
3.068 * [taylor]: Taking taylor expansion of U in K
3.068 * [backup-simplify]: Simplify U into U
3.068 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
3.068 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
3.068 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
3.068 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
3.068 * [taylor]: Taking taylor expansion of 1/2 in K
3.068 * [backup-simplify]: Simplify 1/2 into 1/2
3.068 * [taylor]: Taking taylor expansion of K in K
3.068 * [backup-simplify]: Simplify 0 into 0
3.068 * [backup-simplify]: Simplify 1 into 1
3.069 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.070 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
3.070 * [taylor]: Taking taylor expansion of (pow J 2) in K
3.070 * [taylor]: Taking taylor expansion of J in K
3.070 * [backup-simplify]: Simplify J into J
3.070 * [backup-simplify]: Simplify (* U U) into (pow U 2)
3.070 * [backup-simplify]: Simplify (* 1 1) into 1
3.070 * [backup-simplify]: Simplify (* J J) into (pow J 2)
3.070 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
3.071 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
3.071 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
3.071 * [taylor]: Taking taylor expansion of 1/4 in J
3.071 * [backup-simplify]: Simplify 1/4 into 1/4
3.071 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
3.071 * [taylor]: Taking taylor expansion of (pow U 2) in J
3.071 * [taylor]: Taking taylor expansion of U in J
3.071 * [backup-simplify]: Simplify U into U
3.071 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
3.071 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
3.071 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
3.071 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
3.071 * [taylor]: Taking taylor expansion of 1/2 in J
3.071 * [backup-simplify]: Simplify 1/2 into 1/2
3.071 * [taylor]: Taking taylor expansion of K in J
3.071 * [backup-simplify]: Simplify K into K
3.071 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
3.071 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
3.071 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
3.071 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
3.071 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
3.072 * [backup-simplify]: Simplify (- 0) into 0
3.072 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
3.072 * [taylor]: Taking taylor expansion of (pow J 2) in J
3.072 * [taylor]: Taking taylor expansion of J in J
3.072 * [backup-simplify]: Simplify 0 into 0
3.072 * [backup-simplify]: Simplify 1 into 1
3.072 * [backup-simplify]: Simplify (* U U) into (pow U 2)
3.072 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
3.073 * [backup-simplify]: Simplify (* 1 1) into 1
3.073 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
3.073 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
3.073 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
3.073 * [taylor]: Taking taylor expansion of 1/4 in U
3.073 * [backup-simplify]: Simplify 1/4 into 1/4
3.073 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
3.073 * [taylor]: Taking taylor expansion of (pow U 2) in U
3.073 * [taylor]: Taking taylor expansion of U in U
3.073 * [backup-simplify]: Simplify 0 into 0
3.073 * [backup-simplify]: Simplify 1 into 1
3.073 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
3.073 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
3.073 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
3.073 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
3.073 * [taylor]: Taking taylor expansion of 1/2 in U
3.074 * [backup-simplify]: Simplify 1/2 into 1/2
3.074 * [taylor]: Taking taylor expansion of K in U
3.074 * [backup-simplify]: Simplify K into K
3.074 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
3.074 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
3.074 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
3.074 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
3.074 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
3.074 * [backup-simplify]: Simplify (- 0) into 0
3.075 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
3.075 * [taylor]: Taking taylor expansion of (pow J 2) in U
3.075 * [taylor]: Taking taylor expansion of J in U
3.075 * [backup-simplify]: Simplify J into J
3.075 * [backup-simplify]: Simplify (* 1 1) into 1
3.075 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
3.075 * [backup-simplify]: Simplify (* J J) into (pow J 2)
3.076 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
3.076 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
3.076 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
3.076 * [taylor]: Taking taylor expansion of 1/4 in U
3.076 * [backup-simplify]: Simplify 1/4 into 1/4
3.076 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
3.076 * [taylor]: Taking taylor expansion of (pow U 2) in U
3.076 * [taylor]: Taking taylor expansion of U in U
3.076 * [backup-simplify]: Simplify 0 into 0
3.076 * [backup-simplify]: Simplify 1 into 1
3.076 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
3.076 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
3.076 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
3.076 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
3.076 * [taylor]: Taking taylor expansion of 1/2 in U
3.076 * [backup-simplify]: Simplify 1/2 into 1/2
3.076 * [taylor]: Taking taylor expansion of K in U
3.076 * [backup-simplify]: Simplify K into K
3.076 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
3.077 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
3.077 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
3.077 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
3.077 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
3.077 * [backup-simplify]: Simplify (- 0) into 0
3.077 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
3.077 * [taylor]: Taking taylor expansion of (pow J 2) in U
3.077 * [taylor]: Taking taylor expansion of J in U
3.078 * [backup-simplify]: Simplify J into J
3.078 * [backup-simplify]: Simplify (* 1 1) into 1
3.078 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
3.078 * [backup-simplify]: Simplify (* J J) into (pow J 2)
3.078 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
3.079 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
3.079 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
3.079 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
3.079 * [taylor]: Taking taylor expansion of 1/4 in J
3.079 * [backup-simplify]: Simplify 1/4 into 1/4
3.079 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
3.079 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
3.079 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
3.079 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
3.079 * [taylor]: Taking taylor expansion of 1/2 in J
3.079 * [backup-simplify]: Simplify 1/2 into 1/2
3.079 * [taylor]: Taking taylor expansion of K in J
3.079 * [backup-simplify]: Simplify K into K
3.079 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
3.079 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
3.079 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
3.080 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
3.080 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
3.080 * [backup-simplify]: Simplify (- 0) into 0
3.080 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
3.080 * [taylor]: Taking taylor expansion of (pow J 2) in J
3.080 * [taylor]: Taking taylor expansion of J in J
3.080 * [backup-simplify]: Simplify 0 into 0
3.080 * [backup-simplify]: Simplify 1 into 1
3.080 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
3.081 * [backup-simplify]: Simplify (* 1 1) into 1
3.081 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
3.081 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (* 1/2 K)) 2)) into (/ 1/4 (pow (cos (* 1/2 K)) 2))
3.081 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (* 1/2 K)) 2)) in K
3.081 * [taylor]: Taking taylor expansion of 1/4 in K
3.081 * [backup-simplify]: Simplify 1/4 into 1/4
3.081 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
3.081 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
3.081 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
3.081 * [taylor]: Taking taylor expansion of 1/2 in K
3.081 * [backup-simplify]: Simplify 1/2 into 1/2
3.081 * [taylor]: Taking taylor expansion of K in K
3.081 * [backup-simplify]: Simplify 0 into 0
3.081 * [backup-simplify]: Simplify 1 into 1
3.082 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.083 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
3.083 * [backup-simplify]: Simplify (* 1 1) into 1
3.083 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
3.084 * [backup-simplify]: Simplify 1/4 into 1/4
3.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.084 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
3.085 * [backup-simplify]: Simplify (+ 0) into 0
3.085 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
3.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
3.086 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.087 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
3.087 * [backup-simplify]: Simplify (- 0) into 0
3.088 * [backup-simplify]: Simplify (+ 0 0) into 0
3.088 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
3.088 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
3.089 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
3.089 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
3.089 * [taylor]: Taking taylor expansion of 0 in J
3.089 * [backup-simplify]: Simplify 0 into 0
3.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.091 * [backup-simplify]: Simplify (+ 0) into 0
3.091 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
3.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
3.092 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.093 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
3.093 * [backup-simplify]: Simplify (- 0) into 0
3.094 * [backup-simplify]: Simplify (+ 0 0) into 0
3.094 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
3.094 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
3.095 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
3.095 * [taylor]: Taking taylor expansion of 0 in K
3.095 * [backup-simplify]: Simplify 0 into 0
3.095 * [backup-simplify]: Simplify 0 into 0
3.095 * [backup-simplify]: Simplify (+ 0) into 0
3.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
3.097 * [backup-simplify]: Simplify 0 into 0
3.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.099 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
3.100 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.100 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
3.101 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
3.102 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.102 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
3.103 * [backup-simplify]: Simplify (- 0) into 0
3.103 * [backup-simplify]: Simplify (+ 0 0) into 0
3.104 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
3.104 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
3.105 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
3.106 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
3.106 * [taylor]: Taking taylor expansion of 0 in J
3.106 * [backup-simplify]: Simplify 0 into 0
3.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.108 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.109 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
3.109 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
3.110 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.111 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
3.111 * [backup-simplify]: Simplify (- 0) into 0
3.112 * [backup-simplify]: Simplify (+ 0 0) into 0
3.112 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
3.118 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
3.119 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
3.119 * [taylor]: Taking taylor expansion of 0 in K
3.119 * [backup-simplify]: Simplify 0 into 0
3.119 * [backup-simplify]: Simplify 0 into 0
3.119 * [backup-simplify]: Simplify 0 into 0
3.120 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
3.121 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4
3.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ -1/4 1)) (* 0 (/ 0 1)))) into 1/16
3.122 * [backup-simplify]: Simplify 1/16 into 1/16
3.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.124 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
3.125 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.127 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.128 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
3.129 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.130 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.130 * [backup-simplify]: Simplify (- 0) into 0
3.131 * [backup-simplify]: Simplify (+ 0 0) into 0
3.132 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
3.133 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0
3.133 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
3.135 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0
3.135 * [taylor]: Taking taylor expansion of 0 in J
3.135 * [backup-simplify]: Simplify 0 into 0
3.135 * [taylor]: Taking taylor expansion of 0 in K
3.135 * [backup-simplify]: Simplify 0 into 0
3.135 * [backup-simplify]: Simplify 0 into 0
3.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.137 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.138 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.139 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
3.141 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.141 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.142 * [backup-simplify]: Simplify (- 0) into 0
3.142 * [backup-simplify]: Simplify (+ 0 0) into 0
3.143 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
3.144 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.145 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
3.145 * [taylor]: Taking taylor expansion of 0 in K
3.145 * [backup-simplify]: Simplify 0 into 0
3.145 * [backup-simplify]: Simplify 0 into 0
3.145 * [backup-simplify]: Simplify 0 into 0
3.145 * [backup-simplify]: Simplify 0 into 0
3.146 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
3.147 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0
3.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ -1/4 1)) (* 1/16 (/ 0 1)))) into 0
3.150 * [backup-simplify]: Simplify 0 into 0
3.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.153 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0
3.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
3.157 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.159 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0
3.160 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.161 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
3.162 * [backup-simplify]: Simplify (- 0) into 0
3.162 * [backup-simplify]: Simplify (+ 0 0) into 0
3.163 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0
3.164 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0
3.165 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
3.167 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))) into 0
3.167 * [taylor]: Taking taylor expansion of 0 in J
3.167 * [backup-simplify]: Simplify 0 into 0
3.168 * [taylor]: Taking taylor expansion of 0 in K
3.168 * [backup-simplify]: Simplify 0 into 0
3.168 * [backup-simplify]: Simplify 0 into 0
3.168 * [backup-simplify]: Simplify (+ (* 1/16 (pow (* K (* (/ 1 J) U)) 2)) (* 1/4 (pow (* 1 (* (/ 1 J) U)) 2))) into (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
3.169 * [backup-simplify]: Simplify (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
3.169 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in (U J K) around 0
3.169 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
3.169 * [taylor]: Taking taylor expansion of 1/4 in K
3.169 * [backup-simplify]: Simplify 1/4 into 1/4
3.169 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
3.169 * [taylor]: Taking taylor expansion of (pow J 2) in K
3.169 * [taylor]: Taking taylor expansion of J in K
3.169 * [backup-simplify]: Simplify J into J
3.169 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
3.169 * [taylor]: Taking taylor expansion of (pow U 2) in K
3.169 * [taylor]: Taking taylor expansion of U in K
3.169 * [backup-simplify]: Simplify U into U
3.169 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
3.169 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
3.169 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
3.169 * [taylor]: Taking taylor expansion of 1/2 in K
3.169 * [backup-simplify]: Simplify 1/2 into 1/2
3.169 * [taylor]: Taking taylor expansion of K in K
3.169 * [backup-simplify]: Simplify 0 into 0
3.169 * [backup-simplify]: Simplify 1 into 1
3.170 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.170 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
3.170 * [backup-simplify]: Simplify (* J J) into (pow J 2)
3.170 * [backup-simplify]: Simplify (* U U) into (pow U 2)
3.170 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
3.170 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
3.171 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
3.171 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
3.171 * [taylor]: Taking taylor expansion of 1/4 in J
3.171 * [backup-simplify]: Simplify 1/4 into 1/4
3.171 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
3.171 * [taylor]: Taking taylor expansion of (pow J 2) in J
3.171 * [taylor]: Taking taylor expansion of J in J
3.171 * [backup-simplify]: Simplify 0 into 0
3.171 * [backup-simplify]: Simplify 1 into 1
3.171 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
3.171 * [taylor]: Taking taylor expansion of (pow U 2) in J
3.171 * [taylor]: Taking taylor expansion of U in J
3.171 * [backup-simplify]: Simplify U into U
3.171 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
3.171 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
3.171 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
3.171 * [taylor]: Taking taylor expansion of 1/2 in J
3.171 * [backup-simplify]: Simplify 1/2 into 1/2
3.171 * [taylor]: Taking taylor expansion of K in J
3.171 * [backup-simplify]: Simplify K into K
3.171 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
3.171 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
3.171 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
3.172 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
3.172 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
3.172 * [backup-simplify]: Simplify (- 0) into 0
3.172 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
3.173 * [backup-simplify]: Simplify (* 1 1) into 1
3.173 * [backup-simplify]: Simplify (* U U) into (pow U 2)
3.173 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
3.173 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
3.173 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
3.173 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
3.173 * [taylor]: Taking taylor expansion of 1/4 in U
3.173 * [backup-simplify]: Simplify 1/4 into 1/4
3.174 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
3.174 * [taylor]: Taking taylor expansion of (pow J 2) in U
3.174 * [taylor]: Taking taylor expansion of J in U
3.174 * [backup-simplify]: Simplify J into J
3.174 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
3.174 * [taylor]: Taking taylor expansion of (pow U 2) in U
3.174 * [taylor]: Taking taylor expansion of U in U
3.174 * [backup-simplify]: Simplify 0 into 0
3.174 * [backup-simplify]: Simplify 1 into 1
3.174 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
3.174 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
3.174 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
3.174 * [taylor]: Taking taylor expansion of 1/2 in U
3.174 * [backup-simplify]: Simplify 1/2 into 1/2
3.174 * [taylor]: Taking taylor expansion of K in U
3.174 * [backup-simplify]: Simplify K into K
3.174 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
3.174 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
3.174 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
3.174 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
3.174 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
3.175 * [backup-simplify]: Simplify (- 0) into 0
3.175 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
3.175 * [backup-simplify]: Simplify (* J J) into (pow J 2)
3.175 * [backup-simplify]: Simplify (* 1 1) into 1
3.176 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
3.176 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
3.176 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
3.176 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
3.176 * [taylor]: Taking taylor expansion of 1/4 in U
3.176 * [backup-simplify]: Simplify 1/4 into 1/4
3.176 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
3.176 * [taylor]: Taking taylor expansion of (pow J 2) in U
3.176 * [taylor]: Taking taylor expansion of J in U
3.176 * [backup-simplify]: Simplify J into J
3.176 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
3.176 * [taylor]: Taking taylor expansion of (pow U 2) in U
3.176 * [taylor]: Taking taylor expansion of U in U
3.176 * [backup-simplify]: Simplify 0 into 0
3.176 * [backup-simplify]: Simplify 1 into 1
3.176 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
3.176 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
3.176 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
3.176 * [taylor]: Taking taylor expansion of 1/2 in U
3.176 * [backup-simplify]: Simplify 1/2 into 1/2
3.176 * [taylor]: Taking taylor expansion of K in U
3.176 * [backup-simplify]: Simplify K into K
3.176 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
3.176 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
3.177 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
3.177 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
3.177 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
3.177 * [backup-simplify]: Simplify (- 0) into 0
3.177 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
3.177 * [backup-simplify]: Simplify (* J J) into (pow J 2)
3.178 * [backup-simplify]: Simplify (* 1 1) into 1
3.178 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
3.178 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
3.178 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
3.178 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
3.178 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J
3.179 * [taylor]: Taking taylor expansion of 1/4 in J
3.179 * [backup-simplify]: Simplify 1/4 into 1/4
3.179 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J
3.179 * [taylor]: Taking taylor expansion of (pow J 2) in J
3.179 * [taylor]: Taking taylor expansion of J in J
3.179 * [backup-simplify]: Simplify 0 into 0
3.179 * [backup-simplify]: Simplify 1 into 1
3.179 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
3.179 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
3.179 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
3.179 * [taylor]: Taking taylor expansion of 1/2 in J
3.179 * [backup-simplify]: Simplify 1/2 into 1/2
3.179 * [taylor]: Taking taylor expansion of K in J
3.179 * [backup-simplify]: Simplify K into K
3.179 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
3.179 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
3.179 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
3.179 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
3.179 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
3.180 * [backup-simplify]: Simplify (- 0) into 0
3.180 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
3.180 * [backup-simplify]: Simplify (* 1 1) into 1
3.180 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
3.180 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2))
3.181 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
3.181 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K
3.181 * [taylor]: Taking taylor expansion of 1/4 in K
3.181 * [backup-simplify]: Simplify 1/4 into 1/4
3.181 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
3.181 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
3.181 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
3.181 * [taylor]: Taking taylor expansion of 1/2 in K
3.181 * [backup-simplify]: Simplify 1/2 into 1/2
3.181 * [taylor]: Taking taylor expansion of K in K
3.181 * [backup-simplify]: Simplify 0 into 0
3.181 * [backup-simplify]: Simplify 1 into 1
3.181 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.181 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
3.182 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
3.182 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
3.182 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
3.182 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
3.182 * [backup-simplify]: Simplify (+ 0) into 0
3.183 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
3.183 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
3.184 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.184 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
3.185 * [backup-simplify]: Simplify (- 0) into 0
3.185 * [backup-simplify]: Simplify (+ 0 0) into 0
3.185 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
3.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
3.187 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
3.188 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
3.188 * [taylor]: Taking taylor expansion of 0 in J
3.188 * [backup-simplify]: Simplify 0 into 0
3.188 * [taylor]: Taking taylor expansion of 0 in K
3.188 * [backup-simplify]: Simplify 0 into 0
3.188 * [backup-simplify]: Simplify 0 into 0
3.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.189 * [backup-simplify]: Simplify (+ 0) into 0
3.189 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
3.190 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
3.190 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.191 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
3.191 * [backup-simplify]: Simplify (- 0) into 0
3.191 * [backup-simplify]: Simplify (+ 0 0) into 0
3.192 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
3.192 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
3.193 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0
3.193 * [taylor]: Taking taylor expansion of 0 in K
3.193 * [backup-simplify]: Simplify 0 into 0
3.193 * [backup-simplify]: Simplify 0 into 0
3.193 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
3.193 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
3.193 * [backup-simplify]: Simplify 0 into 0
3.194 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
3.195 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.196 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
3.196 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
3.197 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.197 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
3.198 * [backup-simplify]: Simplify (- 0) into 0
3.198 * [backup-simplify]: Simplify (+ 0 0) into 0
3.199 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
3.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
3.201 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
3.202 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
3.202 * [taylor]: Taking taylor expansion of 0 in J
3.202 * [backup-simplify]: Simplify 0 into 0
3.202 * [taylor]: Taking taylor expansion of 0 in K
3.202 * [backup-simplify]: Simplify 0 into 0
3.202 * [backup-simplify]: Simplify 0 into 0
3.202 * [taylor]: Taking taylor expansion of 0 in K
3.202 * [backup-simplify]: Simplify 0 into 0
3.202 * [backup-simplify]: Simplify 0 into 0
3.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.204 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.205 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
3.205 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
3.206 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.206 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
3.207 * [backup-simplify]: Simplify (- 0) into 0
3.207 * [backup-simplify]: Simplify (+ 0 0) into 0
3.208 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
3.208 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
3.209 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0
3.209 * [taylor]: Taking taylor expansion of 0 in K
3.209 * [backup-simplify]: Simplify 0 into 0
3.209 * [backup-simplify]: Simplify 0 into 0
3.209 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)) (pow (* 1 (* (/ 1 J) (/ 1 (/ 1 U)))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
3.210 * [backup-simplify]: Simplify (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
3.210 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in (U J K) around 0
3.210 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
3.210 * [taylor]: Taking taylor expansion of 1/4 in K
3.210 * [backup-simplify]: Simplify 1/4 into 1/4
3.210 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
3.210 * [taylor]: Taking taylor expansion of (pow J 2) in K
3.210 * [taylor]: Taking taylor expansion of J in K
3.210 * [backup-simplify]: Simplify J into J
3.210 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
3.210 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
3.210 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
3.210 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
3.210 * [taylor]: Taking taylor expansion of -1/2 in K
3.210 * [backup-simplify]: Simplify -1/2 into -1/2
3.210 * [taylor]: Taking taylor expansion of K in K
3.210 * [backup-simplify]: Simplify 0 into 0
3.210 * [backup-simplify]: Simplify 1 into 1
3.211 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
3.211 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
3.211 * [taylor]: Taking taylor expansion of (pow U 2) in K
3.211 * [taylor]: Taking taylor expansion of U in K
3.211 * [backup-simplify]: Simplify U into U
3.211 * [backup-simplify]: Simplify (* J J) into (pow J 2)
3.211 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
3.211 * [backup-simplify]: Simplify (* U U) into (pow U 2)
3.211 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
3.212 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
3.212 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
3.212 * [taylor]: Taking taylor expansion of 1/4 in J
3.212 * [backup-simplify]: Simplify 1/4 into 1/4
3.212 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
3.212 * [taylor]: Taking taylor expansion of (pow J 2) in J
3.212 * [taylor]: Taking taylor expansion of J in J
3.212 * [backup-simplify]: Simplify 0 into 0
3.212 * [backup-simplify]: Simplify 1 into 1
3.212 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
3.212 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
3.212 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
3.212 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
3.212 * [taylor]: Taking taylor expansion of -1/2 in J
3.212 * [backup-simplify]: Simplify -1/2 into -1/2
3.212 * [taylor]: Taking taylor expansion of K in J
3.212 * [backup-simplify]: Simplify K into K
3.212 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
3.212 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
3.212 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
3.212 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
3.212 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
3.213 * [backup-simplify]: Simplify (- 0) into 0
3.213 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
3.213 * [taylor]: Taking taylor expansion of (pow U 2) in J
3.213 * [taylor]: Taking taylor expansion of U in J
3.213 * [backup-simplify]: Simplify U into U
3.213 * [backup-simplify]: Simplify (* 1 1) into 1
3.214 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
3.214 * [backup-simplify]: Simplify (* U U) into (pow U 2)
3.214 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
3.214 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
3.214 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
3.214 * [taylor]: Taking taylor expansion of 1/4 in U
3.214 * [backup-simplify]: Simplify 1/4 into 1/4
3.214 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
3.214 * [taylor]: Taking taylor expansion of (pow J 2) in U
3.214 * [taylor]: Taking taylor expansion of J in U
3.214 * [backup-simplify]: Simplify J into J
3.214 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
3.214 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
3.214 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
3.214 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
3.214 * [taylor]: Taking taylor expansion of -1/2 in U
3.214 * [backup-simplify]: Simplify -1/2 into -1/2
3.214 * [taylor]: Taking taylor expansion of K in U
3.214 * [backup-simplify]: Simplify K into K
3.214 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
3.214 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
3.215 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
3.215 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
3.215 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
3.215 * [backup-simplify]: Simplify (- 0) into 0
3.215 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
3.215 * [taylor]: Taking taylor expansion of (pow U 2) in U
3.215 * [taylor]: Taking taylor expansion of U in U
3.215 * [backup-simplify]: Simplify 0 into 0
3.215 * [backup-simplify]: Simplify 1 into 1
3.215 * [backup-simplify]: Simplify (* J J) into (pow J 2)
3.216 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
3.216 * [backup-simplify]: Simplify (* 1 1) into 1
3.216 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
3.216 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
3.216 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
3.216 * [taylor]: Taking taylor expansion of 1/4 in U
3.216 * [backup-simplify]: Simplify 1/4 into 1/4
3.216 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
3.217 * [taylor]: Taking taylor expansion of (pow J 2) in U
3.217 * [taylor]: Taking taylor expansion of J in U
3.217 * [backup-simplify]: Simplify J into J
3.217 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
3.217 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
3.217 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
3.217 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
3.217 * [taylor]: Taking taylor expansion of -1/2 in U
3.217 * [backup-simplify]: Simplify -1/2 into -1/2
3.217 * [taylor]: Taking taylor expansion of K in U
3.217 * [backup-simplify]: Simplify K into K
3.217 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
3.217 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
3.217 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
3.217 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
3.217 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
3.218 * [backup-simplify]: Simplify (- 0) into 0
3.218 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
3.218 * [taylor]: Taking taylor expansion of (pow U 2) in U
3.218 * [taylor]: Taking taylor expansion of U in U
3.218 * [backup-simplify]: Simplify 0 into 0
3.218 * [backup-simplify]: Simplify 1 into 1
3.218 * [backup-simplify]: Simplify (* J J) into (pow J 2)
3.218 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
3.219 * [backup-simplify]: Simplify (* 1 1) into 1
3.219 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
3.219 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
3.219 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
3.219 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J
3.219 * [taylor]: Taking taylor expansion of 1/4 in J
3.219 * [backup-simplify]: Simplify 1/4 into 1/4
3.219 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J
3.219 * [taylor]: Taking taylor expansion of (pow J 2) in J
3.219 * [taylor]: Taking taylor expansion of J in J
3.219 * [backup-simplify]: Simplify 0 into 0
3.219 * [backup-simplify]: Simplify 1 into 1
3.219 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
3.219 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
3.219 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
3.219 * [taylor]: Taking taylor expansion of -1/2 in J
3.220 * [backup-simplify]: Simplify -1/2 into -1/2
3.220 * [taylor]: Taking taylor expansion of K in J
3.220 * [backup-simplify]: Simplify K into K
3.220 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
3.220 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
3.220 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
3.220 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
3.220 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
3.220 * [backup-simplify]: Simplify (- 0) into 0
3.221 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
3.221 * [backup-simplify]: Simplify (* 1 1) into 1
3.221 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
3.221 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2))
3.221 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
3.221 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K
3.221 * [taylor]: Taking taylor expansion of 1/4 in K
3.221 * [backup-simplify]: Simplify 1/4 into 1/4
3.221 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
3.221 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
3.221 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
3.222 * [taylor]: Taking taylor expansion of -1/2 in K
3.222 * [backup-simplify]: Simplify -1/2 into -1/2
3.222 * [taylor]: Taking taylor expansion of K in K
3.222 * [backup-simplify]: Simplify 0 into 0
3.222 * [backup-simplify]: Simplify 1 into 1
3.222 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
3.222 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
3.222 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
3.222 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
3.223 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
3.223 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
3.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.224 * [backup-simplify]: Simplify (+ 0) into 0
3.224 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
3.224 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
3.225 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.226 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
3.226 * [backup-simplify]: Simplify (- 0) into 0
3.226 * [backup-simplify]: Simplify (+ 0 0) into 0
3.227 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
3.227 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
3.227 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
3.228 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
3.228 * [taylor]: Taking taylor expansion of 0 in J
3.228 * [backup-simplify]: Simplify 0 into 0
3.228 * [taylor]: Taking taylor expansion of 0 in K
3.228 * [backup-simplify]: Simplify 0 into 0
3.228 * [backup-simplify]: Simplify 0 into 0
3.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.229 * [backup-simplify]: Simplify (+ 0) into 0
3.230 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
3.230 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
3.231 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.231 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
3.232 * [backup-simplify]: Simplify (- 0) into 0
3.232 * [backup-simplify]: Simplify (+ 0 0) into 0
3.232 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
3.233 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
3.233 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0
3.233 * [taylor]: Taking taylor expansion of 0 in K
3.233 * [backup-simplify]: Simplify 0 into 0
3.233 * [backup-simplify]: Simplify 0 into 0
3.234 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
3.234 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
3.234 * [backup-simplify]: Simplify 0 into 0
3.235 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
3.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.238 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.238 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
3.239 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
3.239 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.240 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
3.240 * [backup-simplify]: Simplify (- 0) into 0
3.241 * [backup-simplify]: Simplify (+ 0 0) into 0
3.241 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
3.242 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
3.243 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
3.244 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
3.244 * [taylor]: Taking taylor expansion of 0 in J
3.244 * [backup-simplify]: Simplify 0 into 0
3.244 * [taylor]: Taking taylor expansion of 0 in K
3.244 * [backup-simplify]: Simplify 0 into 0
3.244 * [backup-simplify]: Simplify 0 into 0
3.244 * [taylor]: Taking taylor expansion of 0 in K
3.244 * [backup-simplify]: Simplify 0 into 0
3.244 * [backup-simplify]: Simplify 0 into 0
3.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.246 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.247 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
3.247 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
3.248 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.248 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
3.249 * [backup-simplify]: Simplify (- 0) into 0
3.249 * [backup-simplify]: Simplify (+ 0 0) into 0
3.250 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
3.250 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
3.251 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0
3.251 * [taylor]: Taking taylor expansion of 0 in K
3.251 * [backup-simplify]: Simplify 0 into 0
3.251 * [backup-simplify]: Simplify 0 into 0
3.252 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)) (pow (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U))))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
3.252 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2 2)
3.252 * [backup-simplify]: Simplify (* (* J 2) (cos (/ K 2))) into (* 2 (* (cos (* 1/2 K)) J))
3.252 * [approximate]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in (J K) around 0
3.252 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K
3.252 * [taylor]: Taking taylor expansion of 2 in K
3.252 * [backup-simplify]: Simplify 2 into 2
3.252 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
3.252 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
3.252 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
3.252 * [taylor]: Taking taylor expansion of 1/2 in K
3.252 * [backup-simplify]: Simplify 1/2 into 1/2
3.252 * [taylor]: Taking taylor expansion of K in K
3.252 * [backup-simplify]: Simplify 0 into 0
3.252 * [backup-simplify]: Simplify 1 into 1
3.253 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.254 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
3.254 * [taylor]: Taking taylor expansion of J in K
3.254 * [backup-simplify]: Simplify J into J
3.254 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J
3.254 * [taylor]: Taking taylor expansion of 2 in J
3.254 * [backup-simplify]: Simplify 2 into 2
3.254 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
3.254 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
3.254 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
3.254 * [taylor]: Taking taylor expansion of 1/2 in J
3.254 * [backup-simplify]: Simplify 1/2 into 1/2
3.254 * [taylor]: Taking taylor expansion of K in J
3.254 * [backup-simplify]: Simplify K into K
3.254 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
3.254 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
3.254 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
3.254 * [taylor]: Taking taylor expansion of J in J
3.254 * [backup-simplify]: Simplify 0 into 0
3.254 * [backup-simplify]: Simplify 1 into 1
3.254 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J
3.254 * [taylor]: Taking taylor expansion of 2 in J
3.254 * [backup-simplify]: Simplify 2 into 2
3.254 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
3.254 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
3.254 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
3.254 * [taylor]: Taking taylor expansion of 1/2 in J
3.254 * [backup-simplify]: Simplify 1/2 into 1/2
3.255 * [taylor]: Taking taylor expansion of K in J
3.255 * [backup-simplify]: Simplify K into K
3.255 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
3.255 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
3.255 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
3.255 * [taylor]: Taking taylor expansion of J in J
3.255 * [backup-simplify]: Simplify 0 into 0
3.255 * [backup-simplify]: Simplify 1 into 1
3.255 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
3.255 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
3.256 * [backup-simplify]: Simplify (- 0) into 0
3.256 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
3.256 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
3.256 * [backup-simplify]: Simplify (* 2 0) into 0
3.256 * [taylor]: Taking taylor expansion of 0 in K
3.256 * [backup-simplify]: Simplify 0 into 0
3.256 * [backup-simplify]: Simplify 0 into 0
3.257 * [backup-simplify]: Simplify (+ 0) into 0
3.257 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
3.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
3.259 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.259 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
3.259 * [backup-simplify]: Simplify (- 0) into 0
3.260 * [backup-simplify]: Simplify (+ 0 0) into 0
3.260 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
3.261 * [backup-simplify]: Simplify (+ (* 2 (cos (* 1/2 K))) (* 0 0)) into (* 2 (cos (* 1/2 K)))
3.261 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K
3.261 * [taylor]: Taking taylor expansion of 2 in K
3.261 * [backup-simplify]: Simplify 2 into 2
3.261 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
3.261 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
3.261 * [taylor]: Taking taylor expansion of 1/2 in K
3.261 * [backup-simplify]: Simplify 1/2 into 1/2
3.261 * [taylor]: Taking taylor expansion of K in K
3.261 * [backup-simplify]: Simplify 0 into 0
3.261 * [backup-simplify]: Simplify 1 into 1
3.261 * [backup-simplify]: Simplify (* 1/2 0) into 0
3.262 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
3.263 * [backup-simplify]: Simplify (* 2 1) into 2
3.263 * [backup-simplify]: Simplify 2 into 2
3.263 * [backup-simplify]: Simplify 0 into 0
3.264 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.264 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
3.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
3.266 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.267 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
3.267 * [backup-simplify]: Simplify (- 0) into 0
3.267 * [backup-simplify]: Simplify (+ 0 0) into 0
3.268 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
3.269 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0
3.269 * [taylor]: Taking taylor expansion of 0 in K
3.269 * [backup-simplify]: Simplify 0 into 0
3.269 * [backup-simplify]: Simplify 0 into 0
3.269 * [backup-simplify]: Simplify (+ 0) into 0
3.272 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
3.273 * [backup-simplify]: Simplify 0 into 0
3.273 * [backup-simplify]: Simplify 0 into 0
3.274 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.275 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.276 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
3.278 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.278 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.279 * [backup-simplify]: Simplify (- 0) into 0
3.279 * [backup-simplify]: Simplify (+ 0 0) into 0
3.280 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
3.280 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0)))) into 0
3.280 * [taylor]: Taking taylor expansion of 0 in K
3.280 * [backup-simplify]: Simplify 0 into 0
3.280 * [backup-simplify]: Simplify 0 into 0
3.280 * [backup-simplify]: Simplify 0 into 0
3.280 * [backup-simplify]: Simplify (* 2 (* 1 J)) into (* 2 J)
3.281 * [backup-simplify]: Simplify (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))) into (* 2 (/ (cos (/ 1/2 K)) J))
3.281 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in (J K) around 0
3.281 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K
3.281 * [taylor]: Taking taylor expansion of 2 in K
3.281 * [backup-simplify]: Simplify 2 into 2
3.281 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
3.281 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
3.281 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
3.281 * [taylor]: Taking taylor expansion of 1/2 in K
3.281 * [backup-simplify]: Simplify 1/2 into 1/2
3.281 * [taylor]: Taking taylor expansion of K in K
3.281 * [backup-simplify]: Simplify 0 into 0
3.281 * [backup-simplify]: Simplify 1 into 1
3.281 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.281 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
3.281 * [taylor]: Taking taylor expansion of J in K
3.281 * [backup-simplify]: Simplify J into J
3.281 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
3.281 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J
3.281 * [taylor]: Taking taylor expansion of 2 in J
3.281 * [backup-simplify]: Simplify 2 into 2
3.281 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
3.281 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
3.281 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
3.281 * [taylor]: Taking taylor expansion of 1/2 in J
3.281 * [backup-simplify]: Simplify 1/2 into 1/2
3.281 * [taylor]: Taking taylor expansion of K in J
3.281 * [backup-simplify]: Simplify K into K
3.281 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
3.281 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
3.281 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
3.281 * [taylor]: Taking taylor expansion of J in J
3.281 * [backup-simplify]: Simplify 0 into 0
3.282 * [backup-simplify]: Simplify 1 into 1
3.282 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
3.282 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
3.282 * [backup-simplify]: Simplify (- 0) into 0
3.282 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
3.282 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
3.282 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J
3.282 * [taylor]: Taking taylor expansion of 2 in J
3.282 * [backup-simplify]: Simplify 2 into 2
3.282 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
3.282 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
3.282 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
3.282 * [taylor]: Taking taylor expansion of 1/2 in J
3.282 * [backup-simplify]: Simplify 1/2 into 1/2
3.282 * [taylor]: Taking taylor expansion of K in J
3.282 * [backup-simplify]: Simplify K into K
3.282 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
3.282 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
3.282 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
3.282 * [taylor]: Taking taylor expansion of J in J
3.282 * [backup-simplify]: Simplify 0 into 0
3.282 * [backup-simplify]: Simplify 1 into 1
3.282 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
3.282 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
3.283 * [backup-simplify]: Simplify (- 0) into 0
3.283 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
3.283 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
3.283 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
3.283 * [taylor]: Taking taylor expansion of (* 2 (cos (/ 1/2 K))) in K
3.283 * [taylor]: Taking taylor expansion of 2 in K
3.283 * [backup-simplify]: Simplify 2 into 2
3.283 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
3.283 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
3.283 * [taylor]: Taking taylor expansion of 1/2 in K
3.283 * [backup-simplify]: Simplify 1/2 into 1/2
3.283 * [taylor]: Taking taylor expansion of K in K
3.283 * [backup-simplify]: Simplify 0 into 0
3.283 * [backup-simplify]: Simplify 1 into 1
3.283 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.283 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
3.283 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
3.284 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
3.284 * [backup-simplify]: Simplify (+ 0) into 0
3.284 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
3.284 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
3.285 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.285 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
3.285 * [backup-simplify]: Simplify (- 0) into 0
3.285 * [backup-simplify]: Simplify (+ 0 0) into 0
3.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
3.286 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0
3.286 * [taylor]: Taking taylor expansion of 0 in K
3.286 * [backup-simplify]: Simplify 0 into 0
3.286 * [backup-simplify]: Simplify 0 into 0
3.287 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0
3.287 * [backup-simplify]: Simplify 0 into 0
3.288 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.288 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
3.288 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
3.289 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.289 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
3.289 * [backup-simplify]: Simplify (- 0) into 0
3.290 * [backup-simplify]: Simplify (+ 0 0) into 0
3.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.291 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
3.291 * [taylor]: Taking taylor expansion of 0 in K
3.291 * [backup-simplify]: Simplify 0 into 0
3.291 * [backup-simplify]: Simplify 0 into 0
3.291 * [backup-simplify]: Simplify 0 into 0
3.292 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
3.292 * [backup-simplify]: Simplify 0 into 0
3.293 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.293 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.293 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
3.294 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.295 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.295 * [backup-simplify]: Simplify (- 0) into 0
3.295 * [backup-simplify]: Simplify (+ 0 0) into 0
3.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.297 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
3.297 * [taylor]: Taking taylor expansion of 0 in K
3.297 * [backup-simplify]: Simplify 0 into 0
3.297 * [backup-simplify]: Simplify 0 into 0
3.297 * [backup-simplify]: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* 2 (* (cos (* 1/2 K)) J))
3.297 * [backup-simplify]: Simplify (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))) into (* -2 (/ (cos (/ -1/2 K)) J))
3.297 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in (J K) around 0
3.297 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K
3.297 * [taylor]: Taking taylor expansion of -2 in K
3.297 * [backup-simplify]: Simplify -2 into -2
3.297 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
3.297 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
3.297 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
3.297 * [taylor]: Taking taylor expansion of -1/2 in K
3.297 * [backup-simplify]: Simplify -1/2 into -1/2
3.297 * [taylor]: Taking taylor expansion of K in K
3.297 * [backup-simplify]: Simplify 0 into 0
3.297 * [backup-simplify]: Simplify 1 into 1
3.298 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
3.298 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
3.298 * [taylor]: Taking taylor expansion of J in K
3.298 * [backup-simplify]: Simplify J into J
3.298 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
3.298 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J
3.298 * [taylor]: Taking taylor expansion of -2 in J
3.298 * [backup-simplify]: Simplify -2 into -2
3.298 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
3.298 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
3.298 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
3.298 * [taylor]: Taking taylor expansion of -1/2 in J
3.298 * [backup-simplify]: Simplify -1/2 into -1/2
3.298 * [taylor]: Taking taylor expansion of K in J
3.298 * [backup-simplify]: Simplify K into K
3.298 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
3.298 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
3.298 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
3.298 * [taylor]: Taking taylor expansion of J in J
3.298 * [backup-simplify]: Simplify 0 into 0
3.298 * [backup-simplify]: Simplify 1 into 1
3.298 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
3.298 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
3.299 * [backup-simplify]: Simplify (- 0) into 0
3.299 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
3.299 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
3.299 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J
3.299 * [taylor]: Taking taylor expansion of -2 in J
3.299 * [backup-simplify]: Simplify -2 into -2
3.299 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
3.299 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
3.299 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
3.299 * [taylor]: Taking taylor expansion of -1/2 in J
3.299 * [backup-simplify]: Simplify -1/2 into -1/2
3.299 * [taylor]: Taking taylor expansion of K in J
3.299 * [backup-simplify]: Simplify K into K
3.299 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
3.299 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
3.299 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
3.299 * [taylor]: Taking taylor expansion of J in J
3.299 * [backup-simplify]: Simplify 0 into 0
3.299 * [backup-simplify]: Simplify 1 into 1
3.299 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
3.299 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
3.299 * [backup-simplify]: Simplify (- 0) into 0
3.299 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
3.300 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
3.300 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
3.300 * [taylor]: Taking taylor expansion of (* -2 (cos (/ -1/2 K))) in K
3.300 * [taylor]: Taking taylor expansion of -2 in K
3.300 * [backup-simplify]: Simplify -2 into -2
3.300 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
3.300 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
3.300 * [taylor]: Taking taylor expansion of -1/2 in K
3.300 * [backup-simplify]: Simplify -1/2 into -1/2
3.300 * [taylor]: Taking taylor expansion of K in K
3.300 * [backup-simplify]: Simplify 0 into 0
3.300 * [backup-simplify]: Simplify 1 into 1
3.300 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
3.300 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
3.300 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
3.300 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
3.301 * [backup-simplify]: Simplify (+ 0) into 0
3.301 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
3.301 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
3.301 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.302 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
3.302 * [backup-simplify]: Simplify (- 0) into 0
3.302 * [backup-simplify]: Simplify (+ 0 0) into 0
3.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
3.303 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0
3.303 * [taylor]: Taking taylor expansion of 0 in K
3.303 * [backup-simplify]: Simplify 0 into 0
3.303 * [backup-simplify]: Simplify 0 into 0
3.303 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0
3.304 * [backup-simplify]: Simplify 0 into 0
3.304 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.304 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
3.305 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
3.305 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.305 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
3.306 * [backup-simplify]: Simplify (- 0) into 0
3.306 * [backup-simplify]: Simplify (+ 0 0) into 0
3.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.307 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
3.307 * [taylor]: Taking taylor expansion of 0 in K
3.307 * [backup-simplify]: Simplify 0 into 0
3.307 * [backup-simplify]: Simplify 0 into 0
3.308 * [backup-simplify]: Simplify 0 into 0
3.308 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
3.308 * [backup-simplify]: Simplify 0 into 0
3.309 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.309 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.309 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
3.310 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.311 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.311 * [backup-simplify]: Simplify (- 0) into 0
3.312 * [backup-simplify]: Simplify (+ 0 0) into 0
3.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.314 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
3.314 * [taylor]: Taking taylor expansion of 0 in K
3.314 * [backup-simplify]: Simplify 0 into 0
3.314 * [backup-simplify]: Simplify 0 into 0
3.314 * [backup-simplify]: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* 2 (* (cos (* 1/2 K)) J))
3.314 * * * [progress]: simplifying candidates
3.314 * * * * [progress]: [ 1 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 1/2) (* (cos (/ K 2)) (* -2 J))))>
3.314 * * * * [progress]: [ 2 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (pow (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) 1) (* (cos (/ K 2)) (* -2 J))))>
3.314 * * * * [progress]: [ 3 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (exp (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))>
3.314 * * * * [progress]: [ 4 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (log (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))>
3.315 * * * * [progress]: [ 5 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))>
3.315 * * * * [progress]: [ 6 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))>
3.315 * * * * [progress]: [ 7 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))>
3.315 * * * * [progress]: [ 8 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))>
3.315 * * * * [progress]: [ 9 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt 1) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))>
3.315 * * * * [progress]: [ 10 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (/ (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J))))>
3.315 * * * * [progress]: [ 11 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (/ (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))>
3.315 * * * * [progress]: [ 12 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) (/ 1 2)) (* (cos (/ K 2)) (* -2 J))))>
3.315 * * * * [progress]: [ 13 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))>
3.315 * * * * [progress]: [ 14 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (fabs (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))>
3.315 * * * * [progress]: [ 15 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* 1 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))>
3.315 * * * * [progress]: [ 16 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (posit16->real (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))>
3.315 * * * * [progress]: [ 17 / 145 ] simplifiying candidate #<alt (λ (J K U) (pow (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) 1))>
3.315 * * * * [progress]: [ 18 / 145 ] simplifiying candidate #<alt (λ (J K U) (pow (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) 1))>
3.315 * * * * [progress]: [ 19 / 145 ] simplifiying candidate #<alt (λ (J K U) (pow (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) 1))>
3.316 * * * * [progress]: [ 20 / 145 ] simplifiying candidate #<alt (λ (J K U) (pow (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) 1))>
3.316 * * * * [progress]: [ 21 / 145 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (+ (log (cos (/ K 2))) (+ (log -2) (log J))))))>
3.316 * * * * [progress]: [ 22 / 145 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (+ (log (cos (/ K 2))) (log (* -2 J))))))>
3.316 * * * * [progress]: [ 23 / 145 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (log (* (cos (/ K 2)) (* -2 J))))))>
3.316 * * * * [progress]: [ 24 / 145 ] simplifiying candidate #<alt (λ (J K U) (exp (log (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
3.316 * * * * [progress]: [ 25 / 145 ] simplifiying candidate #<alt (λ (J K U) (log (exp (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
3.316 * * * * [progress]: [ 26 / 145 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J))))))>
3.316 * * * * [progress]: [ 27 / 145 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J))))))>
3.316 * * * * [progress]: [ 28 / 145 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J))))))>
3.316 * * * * [progress]: [ 29 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
3.316 * * * * [progress]: [ 30 / 145 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
3.316 * * * * [progress]: [ 31 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (sqrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
3.316 * * * * [progress]: [ 32 / 145 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))))>
3.316 * * * * [progress]: [ 33 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))>
3.317 * * * * [progress]: [ 34 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
3.317 * * * * [progress]: [ 35 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
3.317 * * * * [progress]: [ 36 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
3.317 * * * * [progress]: [ 37 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt 1) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))))>
3.317 * * * * [progress]: [ 38 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
3.317 * * * * [progress]: [ 39 / 145 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))))>
3.317 * * * * [progress]: [ 40 / 145 ] simplifiying candidate #<alt (λ (J K U) (/ (* (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
3.317 * * * * [progress]: [ 41 / 145 ] simplifiying candidate #<alt (λ (J K U) (/ (* (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (* (cos (/ K 2)) (* -2 J))) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))>
3.317 * * * * [progress]: [ 42 / 145 ] simplifiying candidate #<alt (λ (J K U) (posit16->real (real->posit16 (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
3.317 * * * * [progress]: [ 43 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* (cos (/ K 2)) (* -2 J)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))>
3.317 * * * * [progress]: [ 44 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (pow (/ U (* (* J 2) (cos (/ K 2)))) (+ 1 1)) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.317 * * * * [progress]: [ 45 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.317 * * * * [progress]: [ 46 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (pow (/ U (* (* J 2) (cos (/ K 2)))) 2) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.317 * * * * [progress]: [ 47 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (pow (/ U (* (* J 2) (cos (/ K 2)))) (+ 1 1)) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.318 * * * * [progress]: [ 48 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.318 * * * * [progress]: [ 49 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))) (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.318 * * * * [progress]: [ 50 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))) (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.318 * * * * [progress]: [ 51 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.318 * * * * [progress]: [ 52 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))) (log (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.318 * * * * [progress]: [ 53 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))) (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.318 * * * * [progress]: [ 54 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))) (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.318 * * * * [progress]: [ 55 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.318 * * * * [progress]: [ 56 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))) (log (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.318 * * * * [progress]: [ 57 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.318 * * * * [progress]: [ 58 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.319 * * * * [progress]: [ 59 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.319 * * * * [progress]: [ 60 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (log (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.319 * * * * [progress]: [ 61 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (log (/ U (* (* J 2) (cos (/ K 2))))) (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.319 * * * * [progress]: [ 62 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (log (/ U (* (* J 2) (cos (/ K 2))))) (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.319 * * * * [progress]: [ 63 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (log (/ U (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.319 * * * * [progress]: [ 64 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (log (/ U (* (* J 2) (cos (/ K 2))))) (log (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.319 * * * * [progress]: [ 65 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (log (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.319 * * * * [progress]: [ 66 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (log (exp (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.319 * * * * [progress]: [ 67 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.319 * * * * [progress]: [ 68 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.319 * * * * [progress]: [ 69 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.319 * * * * [progress]: [ 70 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.319 * * * * [progress]: [ 71 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.319 * * * * [progress]: [ 72 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.320 * * * * [progress]: [ 73 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.320 * * * * [progress]: [ 74 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.320 * * * * [progress]: [ 75 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.320 * * * * [progress]: [ 76 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.320 * * * * [progress]: [ 77 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.320 * * * * [progress]: [ 78 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.320 * * * * [progress]: [ 79 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.320 * * * * [progress]: [ 80 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.320 * * * * [progress]: [ 81 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.320 * * * * [progress]: [ 82 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.320 * * * * [progress]: [ 83 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (cbrt (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (cbrt (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (cbrt (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.320 * * * * [progress]: [ 84 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.320 * * * * [progress]: [ 85 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (sqrt (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (sqrt (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.321 * * * * [progress]: [ 86 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (/ (* U U) (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.321 * * * * [progress]: [ 87 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.321 * * * * [progress]: [ 88 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (* (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (cbrt (/ U (* (* J 2) (cos (/ K 2)))))) (* (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (cbrt (/ U (* (* J 2) (cos (/ K 2))))))) (* (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (cbrt (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.321 * * * * [progress]: [ 89 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (sqrt (/ U (* (* J 2) (cos (/ K 2)))))) (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (sqrt (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.321 * * * * [progress]: [ 90 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ (* (cbrt U) (cbrt U)) (* J 2)) (/ (* (cbrt U) (cbrt U)) (* J 2))) (* (/ (cbrt U) (cos (/ K 2))) (/ (cbrt U) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.321 * * * * [progress]: [ 91 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ (sqrt U) (* J 2)) (/ (sqrt U) (* J 2))) (* (/ (sqrt U) (cos (/ K 2))) (/ (sqrt U) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.321 * * * * [progress]: [ 92 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ 1 (* J 2)) (/ 1 (* J 2))) (* (/ U (cos (/ K 2))) (/ U (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.321 * * * * [progress]: [ 93 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* 1 1) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.321 * * * * [progress]: [ 94 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* U U) (* (/ 1 (* (* J 2) (cos (/ K 2)))) (/ 1 (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.321 * * * * [progress]: [ 95 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (sqrt (/ U (* (* J 2) (cos (/ K 2)))))) (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (sqrt (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.321 * * * * [progress]: [ 96 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (pow (/ U (* (* J 2) (cos (/ K 2)))) (* 2 1)) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.321 * * * * [progress]: [ 97 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (* (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (cbrt (/ U (* (* J 2) (cos (/ K 2))))))) (cbrt (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.321 * * * * [progress]: [ 98 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (sqrt (/ U (* (* J 2) (cos (/ K 2)))))) (sqrt (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.321 * * * * [progress]: [ 99 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ (* (cbrt U) (cbrt U)) (* J 2))) (/ (cbrt U) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.321 * * * * [progress]: [ 100 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ (sqrt U) (* J 2))) (/ (sqrt U) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.321 * * * * [progress]: [ 101 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ 1 (* J 2))) (/ U (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.322 * * * * [progress]: [ 102 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) 1) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.322 * * * * [progress]: [ 103 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) U) (/ 1 (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.322 * * * * [progress]: [ 104 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (cbrt (/ U (* (* J 2) (cos (/ K 2)))))) (* (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.322 * * * * [progress]: [ 105 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.322 * * * * [progress]: [ 106 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ (* (cbrt U) (cbrt U)) (* J 2)) (* (/ (cbrt U) (cos (/ K 2))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.322 * * * * [progress]: [ 107 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ (sqrt U) (* J 2)) (* (/ (sqrt U) (cos (/ K 2))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.322 * * * * [progress]: [ 108 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ 1 (* J 2)) (* (/ U (cos (/ K 2))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.322 * * * * [progress]: [ 109 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.322 * * * * [progress]: [ 110 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* U (* (/ 1 (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.322 * * * * [progress]: [ 111 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (/ (* (/ U (* (* J 2) (cos (/ K 2)))) U) (* (* J 2) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.322 * * * * [progress]: [ 112 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (/ (* U (/ U (* (* J 2) (cos (/ K 2))))) (* (* J 2) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.322 * * * * [progress]: [ 113 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (posit16->real (real->posit16 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.322 * * * * [progress]: [ 114 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.322 * * * * [progress]: [ 115 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (pow (* (* J 2) (cos (/ K 2))) 1))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.322 * * * * [progress]: [ 116 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (pow (* (* J 2) (cos (/ K 2))) 1))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.322 * * * * [progress]: [ 117 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (pow (* (* J 2) (cos (/ K 2))) 1))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.322 * * * * [progress]: [ 118 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (exp (+ (+ (log J) (log 2)) (log (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.323 * * * * [progress]: [ 119 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (exp (+ (log (* J 2)) (log (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.323 * * * * [progress]: [ 120 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (exp (log (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.323 * * * * [progress]: [ 121 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (log (exp (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.323 * * * * [progress]: [ 122 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (cbrt (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.323 * * * * [progress]: [ 123 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (cbrt (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.323 * * * * [progress]: [ 124 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* (cbrt (* (* J 2) (cos (/ K 2)))) (cbrt (* (* J 2) (cos (/ K 2))))) (cbrt (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.323 * * * * [progress]: [ 125 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (cbrt (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.323 * * * * [progress]: [ 126 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (sqrt (* (* J 2) (cos (/ K 2)))) (sqrt (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.323 * * * * [progress]: [ 127 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 1 (* (* J 2) (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.323 * * * * [progress]: [ 128 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* (* J 2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.323 * * * * [progress]: [ 129 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* (* J 2) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.323 * * * * [progress]: [ 130 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* (* J 2) 1) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.323 * * * * [progress]: [ 131 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* J (* 2 (cos (/ K 2)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.323 * * * * [progress]: [ 132 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (posit16->real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.323 * * * * [progress]: [ 133 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (cos (/ K 2)) (* J 2)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.323 * * * * [progress]: [ 134 / 145 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* (cos (/ K 2)) (* -2 J))))>
3.324 * * * * [progress]: [ 135 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* (cos (/ K 2)) (* -2 J))))>
3.324 * * * * [progress]: [ 136 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* (cos (/ K 2)) (* -2 J))))>
3.324 * * * * [progress]: [ 137 / 145 ] simplifiying candidate #<alt (λ (J K U) (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))))>
3.324 * * * * [progress]: [ 138 / 145 ] simplifiying candidate #<alt (λ (J K U) (* -1 U))>
3.324 * * * * [progress]: [ 139 / 145 ] simplifiying candidate #<alt (λ (J K U) (* -1 U))>
3.324 * * * * [progress]: [ 140 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.324 * * * * [progress]: [ 141 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.324 * * * * [progress]: [ 142 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.324 * * * * [progress]: [ 143 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 J))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.324 * * * * [progress]: [ 144 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.324 * * * * [progress]: [ 145 / 145 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
3.326 * [simplify]: Simplifying:
  (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3)))
  (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1)))
  (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (/ 1 2)
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))
  (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))
  (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))
  (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (+ (log (cos (/ K 2))) (+ (log -2) (log J))))
  (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (+ (log (cos (/ K 2))) (log (* -2 J))))
  (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (log (* (cos (/ K 2)) (* -2 J))))
  (log (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))
  (exp (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))
  (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J))))
  (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J))))
  (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J))))
  (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))))
  (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))
  (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))
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3.333 * * [simplify]: iteration 1: (231 enodes)
3.431 * * [simplify]: iteration 2: (664 enodes)
4.080 * * [simplify]: Extracting #0: cost 86 inf + 0
4.082 * * [simplify]: Extracting #1: cost 704 inf + 3
4.091 * * [simplify]: Extracting #2: cost 1003 inf + 8560
4.106 * * [simplify]: Extracting #3: cost 861 inf + 30617
4.129 * * [simplify]: Extracting #4: cost 789 inf + 41332
4.147 * * [simplify]: Extracting #5: cost 554 inf + 106409
4.191 * * [simplify]: Extracting #6: cost 213 inf + 232507
4.308 * * [simplify]: Extracting #7: cost 65 inf + 295437
4.398 * * [simplify]: Extracting #8: cost 1 inf + 326845
4.497 * * [simplify]: Extracting #9: cost 0 inf + 327431
4.580 * [simplify]: Simplified to:
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  (* 2 (log (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* 2 (log (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (exp (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (/ (* U U) (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (cos (/ K 2)))) (/ U (cos (/ K 2)))) (* (/ (* U U) (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (cos (/ K 2)))) (/ U (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (* U U) (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (cos (/ K 2)))) (/ U (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (* U U) (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (cos (/ K 2)))) (/ U (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (* U U) (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (cos (/ K 2)))) (/ U (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (* U U) (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (cos (/ K 2)))) (/ U (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (* U U) (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (cos (/ K 2)))) (/ U (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (* U U) (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (cos (/ K 2)))) (/ U (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (cbrt (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (cbrt (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))
  (cbrt (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (fabs (/ (/ U (* 2 J)) (cos (/ K 2))))
  (fabs (/ (/ U (* 2 J)) (cos (/ K 2))))
  (* U U)
  (* (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2)))
  (* (* (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2))))))
  (* (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (/ (/ U (* 2 J)) (cos (/ K 2)))
  (/ (/ U (* 2 J)) (cos (/ K 2)))
  (* (/ (* (cbrt U) (cbrt U)) (* 2 J)) (/ (* (cbrt U) (cbrt U)) (* 2 J)))
  (* (/ (cbrt U) (cos (/ K 2))) (/ (cbrt U) (cos (/ K 2))))
  (* (/ (sqrt U) (* 2 J)) (/ (sqrt U) (* 2 J)))
  (* (/ (sqrt U) (cos (/ K 2))) (/ (sqrt U) (cos (/ K 2))))
  (* (/ 1/2 J) (/ 1/2 J))
  (* (/ U (cos (/ K 2))) (/ U (cos (/ K 2))))
  1
  (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))
  (* U U)
  (* (/ (/ 1/2 J) (cos (/ K 2))) (/ (/ 1/2 J) (cos (/ K 2))))
  (/ (/ U (* 2 J)) (cos (/ K 2)))
  (/ (/ U (* 2 J)) (cos (/ K 2)))
  2
  (* (* (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2))))) (/ (/ U (* 2 J)) (cos (/ K 2))))
  (* (/ (/ U (* 2 J)) (cos (/ K 2))) (sqrt (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (/ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (cbrt U)) (/ (* 2 J) (cbrt U)))
  (/ (* (/ U (* 2 J)) (/ (sqrt U) (* 2 J))) (cos (/ K 2)))
  (/ (/ (/ U (* 2 J)) (cos (/ K 2))) (* 2 J))
  (/ (/ U (* 2 J)) (cos (/ K 2)))
  (/ (* U (/ U (* 2 J))) (cos (/ K 2)))
  (* (/ (/ U (* 2 J)) (cos (/ K 2))) (cbrt (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (/ (/ U (* 2 J)) (cos (/ K 2))) (sqrt (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (cbrt U) (cos (/ K 2))))
  (* (/ (sqrt U) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))
  (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ U (cos (/ K 2))))
  (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))
  (/ (/ (/ (/ U (* 2 J)) (cos (/ K 2))) (* 2 J)) (cos (/ K 2)))
  (/ (* U (/ U (* 2 J))) (cos (/ K 2)))
  (/ (* U (/ U (* 2 J))) (cos (/ K 2)))
  (real->posit16 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))
  (* J (* (cos (/ K 2)) 2))
  (* J (* (cos (/ K 2)) 2))
  (log (* J (* (cos (/ K 2)) 2)))
  (log (* J (* (cos (/ K 2)) 2)))
  (log (* J (* (cos (/ K 2)) 2)))
  (exp (* J (* (cos (/ K 2)) 2)))
  (* (* (* (* 8 J) (* J J)) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2))))
  (* (* (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2))) (* J (* (cos (/ K 2)) 2)))
  (* (cbrt (* J (* (cos (/ K 2)) 2))) (cbrt (* J (* (cos (/ K 2)) 2))))
  (cbrt (* J (* (cos (/ K 2)) 2)))
  (* (* (* J (* (cos (/ K 2)) 2)) (* J (* (cos (/ K 2)) 2))) (* J (* (cos (/ K 2)) 2)))
  (sqrt (* J (* (cos (/ K 2)) 2)))
  (sqrt (* J (* (cos (/ K 2)) 2)))
  (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* 2 J))
  (* J (* 2 (sqrt (cos (/ K 2)))))
  (* 2 J)
  (* (cos (/ K 2)) 2)
  (real->posit16 (* J (* (cos (/ K 2)) 2)))
  1
  (/ (/ (* U 1/2) J) (cos (* K 1/2)))
  (/ (/ (* U 1/2) J) (cos (* K 1/2)))
  (- (* J -2) (* (/ (* U U) J) 1/4))
  (- U)
  (- U)
  (+ (* (* (/ U J) (/ U J)) 1/4) (/ (* 1/16 (* K K)) (* (/ J U) (/ J U))))
  (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2))))
  (/ (* (* (/ U J) (/ U J)) 1/4) (* (cos (* K 1/2)) (cos (* K 1/2))))
  (* 2 J)
  (* (cos (* K 1/2)) (* 2 J))
  (* (cos (* K 1/2)) (* 2 J))
4.595 * * * [progress]: adding candidates to table
6.711 * * [progress]: iteration 2 / 4
6.712 * * * [progress]: picking best candidate
6.750 * * * * [pick]: Picked  #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
6.750 * * * [progress]: localizing error
6.831 * * * [progress]: generating rewritten candidates
6.831 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
6.996 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
7.351 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1)
7.555 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 2)
7.572 * * * [progress]: generating series expansions
7.572 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
7.573 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
7.573 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0
7.573 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
7.573 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
7.573 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
7.573 * [taylor]: Taking taylor expansion of 1/4 in K
7.573 * [backup-simplify]: Simplify 1/4 into 1/4
7.573 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
7.573 * [taylor]: Taking taylor expansion of (pow U 2) in K
7.573 * [taylor]: Taking taylor expansion of U in K
7.573 * [backup-simplify]: Simplify U into U
7.573 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
7.573 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
7.573 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
7.573 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
7.573 * [taylor]: Taking taylor expansion of 1/2 in K
7.573 * [backup-simplify]: Simplify 1/2 into 1/2
7.573 * [taylor]: Taking taylor expansion of K in K
7.573 * [backup-simplify]: Simplify 0 into 0
7.573 * [backup-simplify]: Simplify 1 into 1
7.574 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.574 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.574 * [taylor]: Taking taylor expansion of (pow J 2) in K
7.574 * [taylor]: Taking taylor expansion of J in K
7.574 * [backup-simplify]: Simplify J into J
7.574 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.575 * [backup-simplify]: Simplify (* 1 1) into 1
7.575 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.575 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
7.575 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
7.575 * [taylor]: Taking taylor expansion of 1 in K
7.575 * [backup-simplify]: Simplify 1 into 1
7.575 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
7.575 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
7.575 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
7.575 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
7.575 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.575 * [backup-simplify]: Simplify (+ 0) into 0
7.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
7.576 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
7.577 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
7.577 * [backup-simplify]: Simplify (+ 0 0) into 0
7.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
7.577 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
7.577 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
7.577 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
7.577 * [taylor]: Taking taylor expansion of 1/4 in J
7.577 * [backup-simplify]: Simplify 1/4 into 1/4
7.577 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
7.577 * [taylor]: Taking taylor expansion of (pow U 2) in J
7.577 * [taylor]: Taking taylor expansion of U in J
7.577 * [backup-simplify]: Simplify U into U
7.577 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
7.577 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
7.577 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
7.577 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
7.577 * [taylor]: Taking taylor expansion of 1/2 in J
7.577 * [backup-simplify]: Simplify 1/2 into 1/2
7.577 * [taylor]: Taking taylor expansion of K in J
7.577 * [backup-simplify]: Simplify K into K
7.577 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
7.578 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
7.578 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
7.578 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
7.578 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
7.578 * [backup-simplify]: Simplify (- 0) into 0
7.578 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
7.578 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.578 * [taylor]: Taking taylor expansion of J in J
7.578 * [backup-simplify]: Simplify 0 into 0
7.578 * [backup-simplify]: Simplify 1 into 1
7.578 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.578 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
7.579 * [backup-simplify]: Simplify (* 1 1) into 1
7.579 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
7.579 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
7.579 * [taylor]: Taking taylor expansion of 1 in J
7.579 * [backup-simplify]: Simplify 1 into 1
7.579 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
7.579 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
7.579 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
7.579 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
7.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.580 * [backup-simplify]: Simplify (+ 0) into 0
7.580 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
7.581 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
7.581 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.581 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
7.582 * [backup-simplify]: Simplify (- 0) into 0
7.582 * [backup-simplify]: Simplify (+ 0 0) into 0
7.582 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
7.582 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
7.583 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
7.583 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
7.584 * [backup-simplify]: Simplify (+ 0 0) into 0
7.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
7.584 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
7.584 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
7.584 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
7.584 * [taylor]: Taking taylor expansion of 1/4 in U
7.584 * [backup-simplify]: Simplify 1/4 into 1/4
7.584 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
7.584 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.584 * [taylor]: Taking taylor expansion of U in U
7.584 * [backup-simplify]: Simplify 0 into 0
7.584 * [backup-simplify]: Simplify 1 into 1
7.584 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
7.584 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
7.584 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
7.584 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
7.584 * [taylor]: Taking taylor expansion of 1/2 in U
7.584 * [backup-simplify]: Simplify 1/2 into 1/2
7.584 * [taylor]: Taking taylor expansion of K in U
7.584 * [backup-simplify]: Simplify K into K
7.585 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
7.585 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
7.585 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
7.585 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
7.585 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
7.585 * [backup-simplify]: Simplify (- 0) into 0
7.585 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
7.585 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.585 * [taylor]: Taking taylor expansion of J in U
7.585 * [backup-simplify]: Simplify J into J
7.586 * [backup-simplify]: Simplify (* 1 1) into 1
7.586 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
7.586 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.586 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
7.586 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
7.586 * [taylor]: Taking taylor expansion of 1 in U
7.586 * [backup-simplify]: Simplify 1 into 1
7.587 * [backup-simplify]: Simplify (+ 0 1) into 1
7.587 * [backup-simplify]: Simplify (sqrt 1) into 1
7.588 * [backup-simplify]: Simplify (+ 0 0) into 0
7.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.588 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
7.588 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
7.588 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
7.588 * [taylor]: Taking taylor expansion of 1/4 in U
7.589 * [backup-simplify]: Simplify 1/4 into 1/4
7.589 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
7.589 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.589 * [taylor]: Taking taylor expansion of U in U
7.589 * [backup-simplify]: Simplify 0 into 0
7.589 * [backup-simplify]: Simplify 1 into 1
7.589 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
7.589 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
7.589 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
7.589 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
7.589 * [taylor]: Taking taylor expansion of 1/2 in U
7.589 * [backup-simplify]: Simplify 1/2 into 1/2
7.589 * [taylor]: Taking taylor expansion of K in U
7.589 * [backup-simplify]: Simplify K into K
7.589 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
7.589 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
7.589 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
7.589 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
7.589 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
7.590 * [backup-simplify]: Simplify (- 0) into 0
7.590 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
7.590 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.590 * [taylor]: Taking taylor expansion of J in U
7.590 * [backup-simplify]: Simplify J into J
7.590 * [backup-simplify]: Simplify (* 1 1) into 1
7.590 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
7.590 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.591 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
7.591 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
7.591 * [taylor]: Taking taylor expansion of 1 in U
7.591 * [backup-simplify]: Simplify 1 into 1
7.591 * [backup-simplify]: Simplify (+ 0 1) into 1
7.592 * [backup-simplify]: Simplify (sqrt 1) into 1
7.592 * [backup-simplify]: Simplify (+ 0 0) into 0
7.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.593 * [taylor]: Taking taylor expansion of 1 in J
7.593 * [backup-simplify]: Simplify 1 into 1
7.593 * [taylor]: Taking taylor expansion of 0 in J
7.593 * [backup-simplify]: Simplify 0 into 0
7.593 * [taylor]: Taking taylor expansion of 1 in K
7.593 * [backup-simplify]: Simplify 1 into 1
7.593 * [backup-simplify]: Simplify 1 into 1
7.593 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
7.594 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
7.595 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
7.595 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
7.595 * [taylor]: Taking taylor expansion of 1/8 in J
7.595 * [backup-simplify]: Simplify 1/8 into 1/8
7.595 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
7.595 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
7.595 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
7.595 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
7.595 * [taylor]: Taking taylor expansion of 1/2 in J
7.595 * [backup-simplify]: Simplify 1/2 into 1/2
7.595 * [taylor]: Taking taylor expansion of K in J
7.595 * [backup-simplify]: Simplify K into K
7.595 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
7.596 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
7.596 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
7.596 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
7.596 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
7.596 * [backup-simplify]: Simplify (- 0) into 0
7.596 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
7.596 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.596 * [taylor]: Taking taylor expansion of J in J
7.596 * [backup-simplify]: Simplify 0 into 0
7.596 * [backup-simplify]: Simplify 1 into 1
7.597 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
7.597 * [backup-simplify]: Simplify (* 1 1) into 1
7.597 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
7.597 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
7.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.598 * [backup-simplify]: Simplify (+ 0) into 0
7.599 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
7.599 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
7.600 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.601 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
7.601 * [backup-simplify]: Simplify (- 0) into 0
7.601 * [backup-simplify]: Simplify (+ 0 0) into 0
7.602 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
7.602 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
7.603 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
7.603 * [taylor]: Taking taylor expansion of 0 in K
7.603 * [backup-simplify]: Simplify 0 into 0
7.603 * [backup-simplify]: Simplify 0 into 0
7.603 * [taylor]: Taking taylor expansion of 0 in K
7.603 * [backup-simplify]: Simplify 0 into 0
7.603 * [backup-simplify]: Simplify 0 into 0
7.603 * [taylor]: Taking taylor expansion of 0 in K
7.603 * [backup-simplify]: Simplify 0 into 0
7.603 * [backup-simplify]: Simplify 0 into 0
7.603 * [backup-simplify]: Simplify 0 into 0
7.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.604 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.604 * [backup-simplify]: Simplify (+ 0) into 0
7.605 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
7.605 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
7.606 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.607 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
7.607 * [backup-simplify]: Simplify (- 0) into 0
7.607 * [backup-simplify]: Simplify (+ 0 0) into 0
7.607 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
7.608 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
7.608 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
7.609 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
7.609 * [backup-simplify]: Simplify (+ 0 0) into 0
7.610 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
7.610 * [taylor]: Taking taylor expansion of 0 in J
7.610 * [backup-simplify]: Simplify 0 into 0
7.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.612 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.613 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.614 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
7.615 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.615 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.616 * [backup-simplify]: Simplify (- 0) into 0
7.616 * [backup-simplify]: Simplify (+ 0 0) into 0
7.617 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
7.618 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
7.618 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
7.618 * [taylor]: Taking taylor expansion of 0 in K
7.618 * [backup-simplify]: Simplify 0 into 0
7.618 * [backup-simplify]: Simplify 0 into 0
7.618 * [taylor]: Taking taylor expansion of 0 in K
7.618 * [backup-simplify]: Simplify 0 into 0
7.618 * [backup-simplify]: Simplify 0 into 0
7.618 * [backup-simplify]: Simplify 1 into 1
7.619 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* 2 (* (cos (* 1/2 (/ 1 K))) (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
7.619 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0
7.619 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
7.619 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
7.619 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
7.619 * [taylor]: Taking taylor expansion of 1/4 in K
7.619 * [backup-simplify]: Simplify 1/4 into 1/4
7.619 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
7.619 * [taylor]: Taking taylor expansion of (pow J 2) in K
7.619 * [taylor]: Taking taylor expansion of J in K
7.619 * [backup-simplify]: Simplify J into J
7.619 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
7.619 * [taylor]: Taking taylor expansion of (pow U 2) in K
7.619 * [taylor]: Taking taylor expansion of U in K
7.619 * [backup-simplify]: Simplify U into U
7.619 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
7.619 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
7.619 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
7.619 * [taylor]: Taking taylor expansion of 1/2 in K
7.619 * [backup-simplify]: Simplify 1/2 into 1/2
7.619 * [taylor]: Taking taylor expansion of K in K
7.620 * [backup-simplify]: Simplify 0 into 0
7.620 * [backup-simplify]: Simplify 1 into 1
7.620 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.620 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.620 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.620 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.620 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
7.621 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
7.621 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
7.621 * [taylor]: Taking taylor expansion of 1 in K
7.621 * [backup-simplify]: Simplify 1 into 1
7.621 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
7.621 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
7.622 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
7.622 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.622 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
7.622 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
7.622 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
7.623 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
7.624 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
7.624 * [backup-simplify]: Simplify (+ 0 0) into 0
7.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
7.625 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
7.625 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
7.625 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
7.625 * [taylor]: Taking taylor expansion of 1/4 in J
7.625 * [backup-simplify]: Simplify 1/4 into 1/4
7.625 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
7.625 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.625 * [taylor]: Taking taylor expansion of J in J
7.625 * [backup-simplify]: Simplify 0 into 0
7.625 * [backup-simplify]: Simplify 1 into 1
7.625 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
7.625 * [taylor]: Taking taylor expansion of (pow U 2) in J
7.625 * [taylor]: Taking taylor expansion of U in J
7.625 * [backup-simplify]: Simplify U into U
7.625 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
7.625 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
7.625 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
7.625 * [taylor]: Taking taylor expansion of 1/2 in J
7.625 * [backup-simplify]: Simplify 1/2 into 1/2
7.625 * [taylor]: Taking taylor expansion of K in J
7.625 * [backup-simplify]: Simplify K into K
7.625 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.625 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.625 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.625 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.625 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.626 * [backup-simplify]: Simplify (- 0) into 0
7.626 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.626 * [backup-simplify]: Simplify (* 1 1) into 1
7.626 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.627 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
7.627 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
7.627 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
7.627 * [taylor]: Taking taylor expansion of 1 in J
7.627 * [backup-simplify]: Simplify 1 into 1
7.627 * [backup-simplify]: Simplify (+ 0 1) into 1
7.628 * [backup-simplify]: Simplify (sqrt 1) into 1
7.628 * [backup-simplify]: Simplify (+ 0 0) into 0
7.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.629 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
7.629 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
7.629 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
7.629 * [taylor]: Taking taylor expansion of 1/4 in U
7.629 * [backup-simplify]: Simplify 1/4 into 1/4
7.629 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
7.629 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.629 * [taylor]: Taking taylor expansion of J in U
7.629 * [backup-simplify]: Simplify J into J
7.629 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
7.629 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.629 * [taylor]: Taking taylor expansion of U in U
7.629 * [backup-simplify]: Simplify 0 into 0
7.629 * [backup-simplify]: Simplify 1 into 1
7.629 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
7.629 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
7.629 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
7.629 * [taylor]: Taking taylor expansion of 1/2 in U
7.629 * [backup-simplify]: Simplify 1/2 into 1/2
7.630 * [taylor]: Taking taylor expansion of K in U
7.630 * [backup-simplify]: Simplify K into K
7.630 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.630 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.630 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.630 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.630 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.630 * [backup-simplify]: Simplify (- 0) into 0
7.631 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.631 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.631 * [backup-simplify]: Simplify (* 1 1) into 1
7.631 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
7.631 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
7.631 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
7.631 * [taylor]: Taking taylor expansion of 1 in U
7.632 * [backup-simplify]: Simplify 1 into 1
7.632 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
7.632 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
7.632 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
7.632 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.636 * [backup-simplify]: Simplify (+ 0) into 0
7.637 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
7.638 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
7.638 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.639 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
7.639 * [backup-simplify]: Simplify (- 0) into 0
7.640 * [backup-simplify]: Simplify (+ 0 0) into 0
7.640 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
7.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
7.642 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
7.643 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
7.643 * [backup-simplify]: Simplify (+ 0 0) into 0
7.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
7.643 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
7.643 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
7.643 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
7.643 * [taylor]: Taking taylor expansion of 1/4 in U
7.643 * [backup-simplify]: Simplify 1/4 into 1/4
7.643 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
7.643 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.643 * [taylor]: Taking taylor expansion of J in U
7.643 * [backup-simplify]: Simplify J into J
7.644 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
7.644 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.644 * [taylor]: Taking taylor expansion of U in U
7.644 * [backup-simplify]: Simplify 0 into 0
7.644 * [backup-simplify]: Simplify 1 into 1
7.644 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
7.644 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
7.644 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
7.644 * [taylor]: Taking taylor expansion of 1/2 in U
7.644 * [backup-simplify]: Simplify 1/2 into 1/2
7.644 * [taylor]: Taking taylor expansion of K in U
7.644 * [backup-simplify]: Simplify K into K
7.644 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.644 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.644 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.644 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.644 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.645 * [backup-simplify]: Simplify (- 0) into 0
7.645 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.645 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.645 * [backup-simplify]: Simplify (* 1 1) into 1
7.645 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
7.645 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
7.646 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
7.646 * [taylor]: Taking taylor expansion of 1 in U
7.646 * [backup-simplify]: Simplify 1 into 1
7.646 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
7.646 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
7.646 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
7.647 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.647 * [backup-simplify]: Simplify (+ 0) into 0
7.648 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
7.648 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
7.648 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.649 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
7.649 * [backup-simplify]: Simplify (- 0) into 0
7.650 * [backup-simplify]: Simplify (+ 0 0) into 0
7.650 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
7.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
7.651 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
7.652 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
7.652 * [backup-simplify]: Simplify (+ 0 0) into 0
7.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
7.652 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
7.653 * [taylor]: Taking taylor expansion of 1/2 in J
7.653 * [backup-simplify]: Simplify 1/2 into 1/2
7.653 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
7.653 * [taylor]: Taking taylor expansion of J in J
7.653 * [backup-simplify]: Simplify 0 into 0
7.653 * [backup-simplify]: Simplify 1 into 1
7.653 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
7.653 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
7.653 * [taylor]: Taking taylor expansion of 1/2 in J
7.653 * [backup-simplify]: Simplify 1/2 into 1/2
7.653 * [taylor]: Taking taylor expansion of K in J
7.653 * [backup-simplify]: Simplify K into K
7.653 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.653 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.653 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.653 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.653 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.653 * [backup-simplify]: Simplify (- 0) into 0
7.654 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.654 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
7.654 * [taylor]: Taking taylor expansion of 0 in J
7.654 * [backup-simplify]: Simplify 0 into 0
7.654 * [taylor]: Taking taylor expansion of 0 in K
7.654 * [backup-simplify]: Simplify 0 into 0
7.654 * [backup-simplify]: Simplify 0 into 0
7.654 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
7.654 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
7.654 * [taylor]: Taking taylor expansion of 1/2 in K
7.654 * [backup-simplify]: Simplify 1/2 into 1/2
7.654 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
7.654 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
7.654 * [taylor]: Taking taylor expansion of 1/2 in K
7.654 * [backup-simplify]: Simplify 1/2 into 1/2
7.654 * [taylor]: Taking taylor expansion of K in K
7.654 * [backup-simplify]: Simplify 0 into 0
7.654 * [backup-simplify]: Simplify 1 into 1
7.655 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.655 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.655 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
7.655 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
7.655 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
7.656 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.657 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.657 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.658 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.658 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.658 * [backup-simplify]: Simplify (- 0) into 0
7.659 * [backup-simplify]: Simplify (+ 0 0) into 0
7.659 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
7.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
7.661 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
7.662 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
7.663 * [backup-simplify]: Simplify (+ 0 1) into 1
7.664 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
7.664 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
7.664 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
7.664 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
7.664 * [taylor]: Taking taylor expansion of 1/2 in J
7.664 * [backup-simplify]: Simplify 1/2 into 1/2
7.664 * [taylor]: Taking taylor expansion of K in J
7.664 * [backup-simplify]: Simplify K into K
7.664 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.664 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.664 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.664 * [taylor]: Taking taylor expansion of J in J
7.664 * [backup-simplify]: Simplify 0 into 0
7.664 * [backup-simplify]: Simplify 1 into 1
7.664 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.665 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.665 * [backup-simplify]: Simplify (- 0) into 0
7.665 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.665 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.665 * [backup-simplify]: Simplify (+ 0) into 0
7.666 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
7.666 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
7.667 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.667 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
7.668 * [backup-simplify]: Simplify (- 0) into 0
7.668 * [backup-simplify]: Simplify (+ 0 0) into 0
7.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
7.669 * [taylor]: Taking taylor expansion of 0 in K
7.669 * [backup-simplify]: Simplify 0 into 0
7.669 * [backup-simplify]: Simplify 0 into 0
7.669 * [taylor]: Taking taylor expansion of 0 in K
7.669 * [backup-simplify]: Simplify 0 into 0
7.669 * [backup-simplify]: Simplify 0 into 0
7.669 * [backup-simplify]: Simplify (+ 0) into 0
7.670 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
7.670 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
7.671 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.671 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
7.672 * [backup-simplify]: Simplify (- 0) into 0
7.672 * [backup-simplify]: Simplify (+ 0 0) into 0
7.672 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
7.673 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
7.673 * [taylor]: Taking taylor expansion of 0 in K
7.673 * [backup-simplify]: Simplify 0 into 0
7.673 * [backup-simplify]: Simplify 0 into 0
7.673 * [backup-simplify]: Simplify 0 into 0
7.673 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
7.673 * [backup-simplify]: Simplify 0 into 0
7.674 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
7.675 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.675 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.676 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.677 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.678 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.678 * [backup-simplify]: Simplify (- 0) into 0
7.678 * [backup-simplify]: Simplify (+ 0 0) into 0
7.679 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
7.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
7.682 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
7.684 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
7.684 * [backup-simplify]: Simplify (+ 0 0) into 0
7.684 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
7.684 * [taylor]: Taking taylor expansion of 0 in J
7.684 * [backup-simplify]: Simplify 0 into 0
7.684 * [taylor]: Taking taylor expansion of 0 in K
7.684 * [backup-simplify]: Simplify 0 into 0
7.684 * [backup-simplify]: Simplify 0 into 0
7.685 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
7.685 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* 2 (* (cos (* 1/2 (/ 1 (- K)))) (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
7.685 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0
7.685 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
7.686 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
7.686 * [taylor]: Taking taylor expansion of 1 in K
7.686 * [backup-simplify]: Simplify 1 into 1
7.686 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
7.686 * [taylor]: Taking taylor expansion of 1/4 in K
7.686 * [backup-simplify]: Simplify 1/4 into 1/4
7.686 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
7.686 * [taylor]: Taking taylor expansion of (pow J 2) in K
7.686 * [taylor]: Taking taylor expansion of J in K
7.686 * [backup-simplify]: Simplify J into J
7.686 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
7.686 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
7.686 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
7.686 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
7.686 * [taylor]: Taking taylor expansion of -1/2 in K
7.686 * [backup-simplify]: Simplify -1/2 into -1/2
7.686 * [taylor]: Taking taylor expansion of K in K
7.686 * [backup-simplify]: Simplify 0 into 0
7.686 * [backup-simplify]: Simplify 1 into 1
7.687 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.687 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.687 * [taylor]: Taking taylor expansion of (pow U 2) in K
7.687 * [taylor]: Taking taylor expansion of U in K
7.687 * [backup-simplify]: Simplify U into U
7.687 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.687 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
7.687 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.687 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
7.687 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
7.688 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
7.688 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
7.689 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
7.689 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.689 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
7.689 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
7.689 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
7.690 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
7.691 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
7.691 * [backup-simplify]: Simplify (+ 0 0) into 0
7.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
7.692 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
7.692 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
7.692 * [taylor]: Taking taylor expansion of 1 in J
7.692 * [backup-simplify]: Simplify 1 into 1
7.692 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
7.692 * [taylor]: Taking taylor expansion of 1/4 in J
7.692 * [backup-simplify]: Simplify 1/4 into 1/4
7.692 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
7.692 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.692 * [taylor]: Taking taylor expansion of J in J
7.692 * [backup-simplify]: Simplify 0 into 0
7.692 * [backup-simplify]: Simplify 1 into 1
7.692 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
7.692 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
7.692 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
7.692 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
7.692 * [taylor]: Taking taylor expansion of -1/2 in J
7.692 * [backup-simplify]: Simplify -1/2 into -1/2
7.692 * [taylor]: Taking taylor expansion of K in J
7.692 * [backup-simplify]: Simplify K into K
7.692 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.692 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.692 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.692 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.692 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.693 * [backup-simplify]: Simplify (- 0) into 0
7.693 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.693 * [taylor]: Taking taylor expansion of (pow U 2) in J
7.693 * [taylor]: Taking taylor expansion of U in J
7.693 * [backup-simplify]: Simplify U into U
7.693 * [backup-simplify]: Simplify (* 1 1) into 1
7.694 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
7.694 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.694 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
7.694 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
7.694 * [backup-simplify]: Simplify (+ 1 0) into 1
7.695 * [backup-simplify]: Simplify (sqrt 1) into 1
7.695 * [backup-simplify]: Simplify (+ 0 0) into 0
7.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.696 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
7.696 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
7.696 * [taylor]: Taking taylor expansion of 1 in U
7.696 * [backup-simplify]: Simplify 1 into 1
7.696 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
7.696 * [taylor]: Taking taylor expansion of 1/4 in U
7.696 * [backup-simplify]: Simplify 1/4 into 1/4
7.696 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
7.696 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.696 * [taylor]: Taking taylor expansion of J in U
7.696 * [backup-simplify]: Simplify J into J
7.696 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
7.696 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
7.696 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
7.696 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
7.696 * [taylor]: Taking taylor expansion of -1/2 in U
7.696 * [backup-simplify]: Simplify -1/2 into -1/2
7.696 * [taylor]: Taking taylor expansion of K in U
7.696 * [backup-simplify]: Simplify K into K
7.696 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.697 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.697 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.697 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.697 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.697 * [backup-simplify]: Simplify (- 0) into 0
7.697 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.697 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.697 * [taylor]: Taking taylor expansion of U in U
7.697 * [backup-simplify]: Simplify 0 into 0
7.697 * [backup-simplify]: Simplify 1 into 1
7.697 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.698 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
7.698 * [backup-simplify]: Simplify (* 1 1) into 1
7.698 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
7.698 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
7.699 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
7.699 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
7.699 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
7.699 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.700 * [backup-simplify]: Simplify (+ 0) into 0
7.701 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
7.701 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
7.701 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.702 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
7.702 * [backup-simplify]: Simplify (- 0) into 0
7.703 * [backup-simplify]: Simplify (+ 0 0) into 0
7.703 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
7.703 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
7.704 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
7.704 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
7.704 * [backup-simplify]: Simplify (+ 0 0) into 0
7.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
7.705 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
7.705 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
7.705 * [taylor]: Taking taylor expansion of 1 in U
7.705 * [backup-simplify]: Simplify 1 into 1
7.705 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
7.705 * [taylor]: Taking taylor expansion of 1/4 in U
7.705 * [backup-simplify]: Simplify 1/4 into 1/4
7.705 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
7.705 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.705 * [taylor]: Taking taylor expansion of J in U
7.705 * [backup-simplify]: Simplify J into J
7.705 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
7.705 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
7.705 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
7.705 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
7.705 * [taylor]: Taking taylor expansion of -1/2 in U
7.705 * [backup-simplify]: Simplify -1/2 into -1/2
7.705 * [taylor]: Taking taylor expansion of K in U
7.705 * [backup-simplify]: Simplify K into K
7.705 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.705 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.705 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.705 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.706 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.706 * [backup-simplify]: Simplify (- 0) into 0
7.706 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.706 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.706 * [taylor]: Taking taylor expansion of U in U
7.706 * [backup-simplify]: Simplify 0 into 0
7.706 * [backup-simplify]: Simplify 1 into 1
7.706 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.706 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
7.707 * [backup-simplify]: Simplify (* 1 1) into 1
7.707 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
7.707 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
7.707 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
7.707 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
7.708 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
7.708 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.709 * [backup-simplify]: Simplify (+ 0) into 0
7.709 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
7.709 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
7.710 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.710 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
7.711 * [backup-simplify]: Simplify (- 0) into 0
7.711 * [backup-simplify]: Simplify (+ 0 0) into 0
7.711 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
7.712 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
7.712 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
7.713 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
7.713 * [backup-simplify]: Simplify (+ 0 0) into 0
7.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
7.713 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
7.713 * [taylor]: Taking taylor expansion of 1/2 in J
7.713 * [backup-simplify]: Simplify 1/2 into 1/2
7.713 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
7.713 * [taylor]: Taking taylor expansion of J in J
7.713 * [backup-simplify]: Simplify 0 into 0
7.713 * [backup-simplify]: Simplify 1 into 1
7.713 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
7.714 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
7.714 * [taylor]: Taking taylor expansion of -1/2 in J
7.714 * [backup-simplify]: Simplify -1/2 into -1/2
7.714 * [taylor]: Taking taylor expansion of K in J
7.714 * [backup-simplify]: Simplify K into K
7.714 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.714 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.714 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.714 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.714 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.714 * [backup-simplify]: Simplify (- 0) into 0
7.715 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.715 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
7.715 * [taylor]: Taking taylor expansion of 0 in J
7.715 * [backup-simplify]: Simplify 0 into 0
7.715 * [taylor]: Taking taylor expansion of 0 in K
7.715 * [backup-simplify]: Simplify 0 into 0
7.715 * [backup-simplify]: Simplify 0 into 0
7.715 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
7.715 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
7.715 * [taylor]: Taking taylor expansion of 1/2 in K
7.715 * [backup-simplify]: Simplify 1/2 into 1/2
7.715 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
7.715 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
7.715 * [taylor]: Taking taylor expansion of -1/2 in K
7.715 * [backup-simplify]: Simplify -1/2 into -1/2
7.715 * [taylor]: Taking taylor expansion of K in K
7.715 * [backup-simplify]: Simplify 0 into 0
7.715 * [backup-simplify]: Simplify 1 into 1
7.716 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.716 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.716 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
7.716 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
7.717 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
7.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.718 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.719 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.719 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.720 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.721 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.721 * [backup-simplify]: Simplify (- 0) into 0
7.721 * [backup-simplify]: Simplify (+ 0 0) into 0
7.722 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
7.723 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
7.723 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
7.724 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
7.725 * [backup-simplify]: Simplify (+ 1 0) into 1
7.726 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
7.726 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
7.726 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
7.726 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
7.726 * [taylor]: Taking taylor expansion of -1/2 in J
7.726 * [backup-simplify]: Simplify -1/2 into -1/2
7.726 * [taylor]: Taking taylor expansion of K in J
7.726 * [backup-simplify]: Simplify K into K
7.726 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.726 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.726 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.726 * [taylor]: Taking taylor expansion of J in J
7.726 * [backup-simplify]: Simplify 0 into 0
7.726 * [backup-simplify]: Simplify 1 into 1
7.726 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.726 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.727 * [backup-simplify]: Simplify (- 0) into 0
7.727 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.727 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.727 * [backup-simplify]: Simplify (+ 0) into 0
7.728 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
7.728 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
7.729 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.729 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
7.730 * [backup-simplify]: Simplify (- 0) into 0
7.730 * [backup-simplify]: Simplify (+ 0 0) into 0
7.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
7.731 * [taylor]: Taking taylor expansion of 0 in K
7.731 * [backup-simplify]: Simplify 0 into 0
7.731 * [backup-simplify]: Simplify 0 into 0
7.731 * [taylor]: Taking taylor expansion of 0 in K
7.731 * [backup-simplify]: Simplify 0 into 0
7.731 * [backup-simplify]: Simplify 0 into 0
7.732 * [backup-simplify]: Simplify (+ 0) into 0
7.732 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
7.732 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
7.733 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.734 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
7.734 * [backup-simplify]: Simplify (- 0) into 0
7.735 * [backup-simplify]: Simplify (+ 0 0) into 0
7.735 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
7.735 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
7.735 * [taylor]: Taking taylor expansion of 0 in K
7.735 * [backup-simplify]: Simplify 0 into 0
7.735 * [backup-simplify]: Simplify 0 into 0
7.735 * [backup-simplify]: Simplify 0 into 0
7.735 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
7.735 * [backup-simplify]: Simplify 0 into 0
7.736 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
7.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.737 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.737 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.738 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.738 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.739 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.739 * [backup-simplify]: Simplify (- 0) into 0
7.739 * [backup-simplify]: Simplify (+ 0 0) into 0
7.740 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
7.741 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.741 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
7.742 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
7.742 * [backup-simplify]: Simplify (+ 0 0) into 0
7.742 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
7.742 * [taylor]: Taking taylor expansion of 0 in J
7.742 * [backup-simplify]: Simplify 0 into 0
7.742 * [taylor]: Taking taylor expansion of 0 in K
7.742 * [backup-simplify]: Simplify 0 into 0
7.742 * [backup-simplify]: Simplify 0 into 0
7.742 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
7.742 * * * * [progress]: [ 2 / 4 ] generating series at (2)
7.743 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))))
7.743 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (U J K) around 0
7.743 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K
7.743 * [taylor]: Taking taylor expansion of -2 in K
7.743 * [backup-simplify]: Simplify -2 into -2
7.743 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K
7.743 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
7.743 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
7.743 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
7.743 * [taylor]: Taking taylor expansion of 1/2 in K
7.743 * [backup-simplify]: Simplify 1/2 into 1/2
7.743 * [taylor]: Taking taylor expansion of K in K
7.743 * [backup-simplify]: Simplify 0 into 0
7.743 * [backup-simplify]: Simplify 1 into 1
7.743 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.744 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.744 * [taylor]: Taking taylor expansion of J in K
7.744 * [backup-simplify]: Simplify J into J
7.744 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
7.744 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
7.744 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
7.744 * [taylor]: Taking taylor expansion of 1/4 in K
7.744 * [backup-simplify]: Simplify 1/4 into 1/4
7.744 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
7.744 * [taylor]: Taking taylor expansion of (pow U 2) in K
7.744 * [taylor]: Taking taylor expansion of U in K
7.744 * [backup-simplify]: Simplify U into U
7.744 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
7.744 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
7.744 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
7.744 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
7.744 * [taylor]: Taking taylor expansion of 1/2 in K
7.744 * [backup-simplify]: Simplify 1/2 into 1/2
7.744 * [taylor]: Taking taylor expansion of K in K
7.744 * [backup-simplify]: Simplify 0 into 0
7.744 * [backup-simplify]: Simplify 1 into 1
7.744 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.745 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.745 * [taylor]: Taking taylor expansion of (pow J 2) in K
7.745 * [taylor]: Taking taylor expansion of J in K
7.745 * [backup-simplify]: Simplify J into J
7.745 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.745 * [backup-simplify]: Simplify (* 1 1) into 1
7.745 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.745 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
7.745 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
7.745 * [taylor]: Taking taylor expansion of 1 in K
7.745 * [backup-simplify]: Simplify 1 into 1
7.745 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
7.746 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
7.746 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
7.746 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
7.746 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.746 * [backup-simplify]: Simplify (+ 0) into 0
7.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
7.747 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
7.747 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
7.748 * [backup-simplify]: Simplify (+ 0 0) into 0
7.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
7.748 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J
7.748 * [taylor]: Taking taylor expansion of -2 in J
7.748 * [backup-simplify]: Simplify -2 into -2
7.748 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J
7.748 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
7.748 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
7.748 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
7.748 * [taylor]: Taking taylor expansion of 1/2 in J
7.748 * [backup-simplify]: Simplify 1/2 into 1/2
7.748 * [taylor]: Taking taylor expansion of K in J
7.748 * [backup-simplify]: Simplify K into K
7.748 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
7.748 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
7.748 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
7.748 * [taylor]: Taking taylor expansion of J in J
7.748 * [backup-simplify]: Simplify 0 into 0
7.748 * [backup-simplify]: Simplify 1 into 1
7.748 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
7.748 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
7.748 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
7.748 * [taylor]: Taking taylor expansion of 1/4 in J
7.748 * [backup-simplify]: Simplify 1/4 into 1/4
7.748 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
7.748 * [taylor]: Taking taylor expansion of (pow U 2) in J
7.748 * [taylor]: Taking taylor expansion of U in J
7.748 * [backup-simplify]: Simplify U into U
7.748 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
7.748 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
7.748 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
7.748 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
7.748 * [taylor]: Taking taylor expansion of 1/2 in J
7.748 * [backup-simplify]: Simplify 1/2 into 1/2
7.748 * [taylor]: Taking taylor expansion of K in J
7.748 * [backup-simplify]: Simplify K into K
7.748 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
7.748 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
7.748 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
7.749 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
7.749 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
7.749 * [backup-simplify]: Simplify (- 0) into 0
7.749 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
7.749 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.749 * [taylor]: Taking taylor expansion of J in J
7.749 * [backup-simplify]: Simplify 0 into 0
7.749 * [backup-simplify]: Simplify 1 into 1
7.749 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.749 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
7.749 * [backup-simplify]: Simplify (* 1 1) into 1
7.749 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
7.750 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
7.750 * [taylor]: Taking taylor expansion of 1 in J
7.750 * [backup-simplify]: Simplify 1 into 1
7.750 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
7.750 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
7.750 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
7.750 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
7.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.751 * [backup-simplify]: Simplify (+ 0) into 0
7.751 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
7.751 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
7.752 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.752 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
7.752 * [backup-simplify]: Simplify (- 0) into 0
7.753 * [backup-simplify]: Simplify (+ 0 0) into 0
7.753 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
7.753 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
7.753 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
7.754 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
7.754 * [backup-simplify]: Simplify (+ 0 0) into 0
7.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
7.754 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U
7.754 * [taylor]: Taking taylor expansion of -2 in U
7.754 * [backup-simplify]: Simplify -2 into -2
7.754 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U
7.754 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
7.754 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
7.754 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
7.754 * [taylor]: Taking taylor expansion of 1/2 in U
7.754 * [backup-simplify]: Simplify 1/2 into 1/2
7.754 * [taylor]: Taking taylor expansion of K in U
7.754 * [backup-simplify]: Simplify K into K
7.754 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
7.754 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
7.754 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
7.754 * [taylor]: Taking taylor expansion of J in U
7.754 * [backup-simplify]: Simplify J into J
7.754 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
7.754 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
7.755 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
7.755 * [taylor]: Taking taylor expansion of 1/4 in U
7.755 * [backup-simplify]: Simplify 1/4 into 1/4
7.755 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
7.755 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.755 * [taylor]: Taking taylor expansion of U in U
7.755 * [backup-simplify]: Simplify 0 into 0
7.755 * [backup-simplify]: Simplify 1 into 1
7.755 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
7.755 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
7.755 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
7.755 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
7.755 * [taylor]: Taking taylor expansion of 1/2 in U
7.755 * [backup-simplify]: Simplify 1/2 into 1/2
7.755 * [taylor]: Taking taylor expansion of K in U
7.755 * [backup-simplify]: Simplify K into K
7.755 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
7.755 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
7.755 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
7.755 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
7.755 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
7.755 * [backup-simplify]: Simplify (- 0) into 0
7.755 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
7.755 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.755 * [taylor]: Taking taylor expansion of J in U
7.755 * [backup-simplify]: Simplify J into J
7.756 * [backup-simplify]: Simplify (* 1 1) into 1
7.756 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
7.756 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.756 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
7.756 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
7.756 * [taylor]: Taking taylor expansion of 1 in U
7.756 * [backup-simplify]: Simplify 1 into 1
7.756 * [backup-simplify]: Simplify (+ 0 1) into 1
7.756 * [backup-simplify]: Simplify (sqrt 1) into 1
7.757 * [backup-simplify]: Simplify (+ 0 0) into 0
7.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.757 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U
7.757 * [taylor]: Taking taylor expansion of -2 in U
7.757 * [backup-simplify]: Simplify -2 into -2
7.757 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U
7.757 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
7.757 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
7.757 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
7.757 * [taylor]: Taking taylor expansion of 1/2 in U
7.757 * [backup-simplify]: Simplify 1/2 into 1/2
7.757 * [taylor]: Taking taylor expansion of K in U
7.757 * [backup-simplify]: Simplify K into K
7.757 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
7.757 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
7.757 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
7.757 * [taylor]: Taking taylor expansion of J in U
7.757 * [backup-simplify]: Simplify J into J
7.757 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
7.757 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
7.758 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
7.758 * [taylor]: Taking taylor expansion of 1/4 in U
7.758 * [backup-simplify]: Simplify 1/4 into 1/4
7.758 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
7.758 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.758 * [taylor]: Taking taylor expansion of U in U
7.758 * [backup-simplify]: Simplify 0 into 0
7.758 * [backup-simplify]: Simplify 1 into 1
7.758 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
7.758 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
7.758 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
7.758 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
7.758 * [taylor]: Taking taylor expansion of 1/2 in U
7.758 * [backup-simplify]: Simplify 1/2 into 1/2
7.758 * [taylor]: Taking taylor expansion of K in U
7.758 * [backup-simplify]: Simplify K into K
7.758 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
7.758 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
7.758 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
7.758 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
7.758 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
7.758 * [backup-simplify]: Simplify (- 0) into 0
7.758 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
7.758 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.758 * [taylor]: Taking taylor expansion of J in U
7.758 * [backup-simplify]: Simplify J into J
7.759 * [backup-simplify]: Simplify (* 1 1) into 1
7.759 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
7.759 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.759 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
7.759 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
7.759 * [taylor]: Taking taylor expansion of 1 in U
7.759 * [backup-simplify]: Simplify 1 into 1
7.759 * [backup-simplify]: Simplify (+ 0 1) into 1
7.759 * [backup-simplify]: Simplify (sqrt 1) into 1
7.760 * [backup-simplify]: Simplify (+ 0 0) into 0
7.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.760 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
7.760 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
7.761 * [backup-simplify]: Simplify (- 0) into 0
7.761 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
7.761 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J)
7.761 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J)
7.761 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J))
7.761 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J
7.761 * [taylor]: Taking taylor expansion of -2 in J
7.761 * [backup-simplify]: Simplify -2 into -2
7.761 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
7.761 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
7.761 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
7.761 * [taylor]: Taking taylor expansion of 1/2 in J
7.761 * [backup-simplify]: Simplify 1/2 into 1/2
7.761 * [taylor]: Taking taylor expansion of K in J
7.761 * [backup-simplify]: Simplify K into K
7.761 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
7.761 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
7.761 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
7.761 * [taylor]: Taking taylor expansion of J in J
7.761 * [backup-simplify]: Simplify 0 into 0
7.761 * [backup-simplify]: Simplify 1 into 1
7.761 * [backup-simplify]: Simplify (+ 0) into 0
7.762 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
7.762 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
7.762 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.763 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
7.763 * [backup-simplify]: Simplify (- 0) into 0
7.763 * [backup-simplify]: Simplify (+ 0 0) into 0
7.763 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0
7.764 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0
7.764 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0
7.764 * [taylor]: Taking taylor expansion of 0 in J
7.764 * [backup-simplify]: Simplify 0 into 0
7.764 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
7.764 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
7.767 * [backup-simplify]: Simplify (- 0) into 0
7.767 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
7.767 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
7.768 * [backup-simplify]: Simplify (* -2 0) into 0
7.768 * [taylor]: Taking taylor expansion of 0 in K
7.768 * [backup-simplify]: Simplify 0 into 0
7.768 * [backup-simplify]: Simplify 0 into 0
7.768 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
7.768 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
7.769 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
7.770 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.770 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.771 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
7.771 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.771 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.772 * [backup-simplify]: Simplify (- 0) into 0
7.772 * [backup-simplify]: Simplify (+ 0 0) into 0
7.772 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0
7.773 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))
7.773 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))))
7.773 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J
7.773 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J
7.773 * [taylor]: Taking taylor expansion of 1/4 in J
7.773 * [backup-simplify]: Simplify 1/4 into 1/4
7.773 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J
7.773 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
7.773 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
7.773 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
7.773 * [taylor]: Taking taylor expansion of 1/2 in J
7.773 * [backup-simplify]: Simplify 1/2 into 1/2
7.773 * [taylor]: Taking taylor expansion of K in J
7.773 * [backup-simplify]: Simplify K into K
7.773 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
7.773 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
7.773 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
7.773 * [taylor]: Taking taylor expansion of J in J
7.774 * [backup-simplify]: Simplify 0 into 0
7.774 * [backup-simplify]: Simplify 1 into 1
7.774 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
7.774 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
7.774 * [backup-simplify]: Simplify (- 0) into 0
7.774 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
7.774 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
7.775 * [backup-simplify]: Simplify (+ 0) into 0
7.775 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
7.775 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
7.776 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.777 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
7.777 * [backup-simplify]: Simplify (- 0) into 0
7.777 * [backup-simplify]: Simplify (+ 0 0) into 0
7.778 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
7.778 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K)))
7.778 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K)))
7.778 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K)))))
7.778 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K
7.778 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K
7.778 * [taylor]: Taking taylor expansion of 1/4 in K
7.778 * [backup-simplify]: Simplify 1/4 into 1/4
7.778 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K
7.778 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
7.778 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
7.778 * [taylor]: Taking taylor expansion of 1/2 in K
7.778 * [backup-simplify]: Simplify 1/2 into 1/2
7.778 * [taylor]: Taking taylor expansion of K in K
7.778 * [backup-simplify]: Simplify 0 into 0
7.778 * [backup-simplify]: Simplify 1 into 1
7.779 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.780 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.780 * [backup-simplify]: Simplify (/ 1 1) into 1
7.780 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
7.781 * [backup-simplify]: Simplify (- 1/4) into -1/4
7.781 * [backup-simplify]: Simplify -1/4 into -1/4
7.781 * [taylor]: Taking taylor expansion of 0 in K
7.781 * [backup-simplify]: Simplify 0 into 0
7.781 * [backup-simplify]: Simplify 0 into 0
7.781 * [backup-simplify]: Simplify (+ 0) into 0
7.782 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
7.782 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
7.783 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.784 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
7.784 * [backup-simplify]: Simplify (- 0) into 0
7.784 * [backup-simplify]: Simplify (+ 0 0) into 0
7.785 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
7.785 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K))))
7.785 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K
7.785 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K
7.785 * [taylor]: Taking taylor expansion of 2 in K
7.785 * [backup-simplify]: Simplify 2 into 2
7.785 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
7.785 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
7.785 * [taylor]: Taking taylor expansion of 1/2 in K
7.785 * [backup-simplify]: Simplify 1/2 into 1/2
7.786 * [taylor]: Taking taylor expansion of K in K
7.786 * [backup-simplify]: Simplify 0 into 0
7.786 * [backup-simplify]: Simplify 1 into 1
7.786 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.787 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.787 * [backup-simplify]: Simplify (* 2 1) into 2
7.788 * [backup-simplify]: Simplify (- 2) into -2
7.788 * [backup-simplify]: Simplify -2 into -2
7.788 * [backup-simplify]: Simplify 0 into 0
7.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.788 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.789 * [backup-simplify]: Simplify (+ 0) into 0
7.789 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
7.790 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
7.791 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.791 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
7.791 * [backup-simplify]: Simplify (- 0) into 0
7.792 * [backup-simplify]: Simplify (+ 0 0) into 0
7.792 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
7.792 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
7.793 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
7.793 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
7.794 * [backup-simplify]: Simplify (+ 0 0) into 0
7.794 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
7.795 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.796 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.797 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
7.799 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.800 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.800 * [backup-simplify]: Simplify (- 0) into 0
7.800 * [backup-simplify]: Simplify (+ 0 0) into 0
7.801 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
7.802 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0
7.803 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0
7.803 * [taylor]: Taking taylor expansion of 0 in J
7.803 * [backup-simplify]: Simplify 0 into 0
7.804 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.804 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.805 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
7.805 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.805 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.806 * [backup-simplify]: Simplify (- 0) into 0
7.806 * [backup-simplify]: Simplify (+ 0 0) into 0
7.806 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
7.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0
7.807 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0
7.807 * [backup-simplify]: Simplify (- 0) into 0
7.807 * [taylor]: Taking taylor expansion of 0 in K
7.807 * [backup-simplify]: Simplify 0 into 0
7.807 * [backup-simplify]: Simplify 0 into 0
7.807 * [taylor]: Taking taylor expansion of 0 in K
7.807 * [backup-simplify]: Simplify 0 into 0
7.807 * [backup-simplify]: Simplify 0 into 0
7.808 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.808 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.809 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
7.809 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.809 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.810 * [backup-simplify]: Simplify (- 0) into 0
7.810 * [backup-simplify]: Simplify (+ 0 0) into 0
7.810 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
7.811 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0
7.811 * [taylor]: Taking taylor expansion of 0 in K
7.811 * [backup-simplify]: Simplify 0 into 0
7.811 * [backup-simplify]: Simplify 0 into 0
7.811 * [backup-simplify]: Simplify (+ 0) into 0
7.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.812 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
7.812 * [backup-simplify]: Simplify (- 0) into 0
7.812 * [backup-simplify]: Simplify 0 into 0
7.812 * [backup-simplify]: Simplify 0 into 0
7.812 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J))))
7.813 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* 2 (* (cos (* 1/2 (/ 1 K))) (/ 1 J))))) 1)) (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))
7.813 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (U J K) around 0
7.813 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K
7.813 * [taylor]: Taking taylor expansion of -2 in K
7.813 * [backup-simplify]: Simplify -2 into -2
7.813 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K
7.813 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
7.813 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
7.813 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
7.813 * [taylor]: Taking taylor expansion of 1/4 in K
7.813 * [backup-simplify]: Simplify 1/4 into 1/4
7.813 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
7.813 * [taylor]: Taking taylor expansion of (pow J 2) in K
7.813 * [taylor]: Taking taylor expansion of J in K
7.813 * [backup-simplify]: Simplify J into J
7.813 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
7.813 * [taylor]: Taking taylor expansion of (pow U 2) in K
7.813 * [taylor]: Taking taylor expansion of U in K
7.813 * [backup-simplify]: Simplify U into U
7.813 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
7.813 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
7.813 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
7.813 * [taylor]: Taking taylor expansion of 1/2 in K
7.813 * [backup-simplify]: Simplify 1/2 into 1/2
7.813 * [taylor]: Taking taylor expansion of K in K
7.813 * [backup-simplify]: Simplify 0 into 0
7.813 * [backup-simplify]: Simplify 1 into 1
7.814 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.814 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.814 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.814 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.814 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
7.814 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
7.814 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
7.814 * [taylor]: Taking taylor expansion of 1 in K
7.814 * [backup-simplify]: Simplify 1 into 1
7.815 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
7.815 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
7.815 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
7.815 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.815 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
7.815 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
7.815 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
7.816 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
7.816 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
7.816 * [backup-simplify]: Simplify (+ 0 0) into 0
7.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
7.817 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
7.817 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
7.817 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
7.817 * [taylor]: Taking taylor expansion of 1/2 in K
7.817 * [backup-simplify]: Simplify 1/2 into 1/2
7.817 * [taylor]: Taking taylor expansion of K in K
7.817 * [backup-simplify]: Simplify 0 into 0
7.817 * [backup-simplify]: Simplify 1 into 1
7.817 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.817 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.817 * [taylor]: Taking taylor expansion of J in K
7.817 * [backup-simplify]: Simplify J into J
7.817 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
7.817 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J
7.817 * [taylor]: Taking taylor expansion of -2 in J
7.817 * [backup-simplify]: Simplify -2 into -2
7.817 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J
7.817 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
7.817 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
7.817 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
7.817 * [taylor]: Taking taylor expansion of 1/4 in J
7.817 * [backup-simplify]: Simplify 1/4 into 1/4
7.817 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
7.817 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.817 * [taylor]: Taking taylor expansion of J in J
7.817 * [backup-simplify]: Simplify 0 into 0
7.818 * [backup-simplify]: Simplify 1 into 1
7.818 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
7.818 * [taylor]: Taking taylor expansion of (pow U 2) in J
7.818 * [taylor]: Taking taylor expansion of U in J
7.818 * [backup-simplify]: Simplify U into U
7.818 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
7.818 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
7.818 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
7.818 * [taylor]: Taking taylor expansion of 1/2 in J
7.818 * [backup-simplify]: Simplify 1/2 into 1/2
7.818 * [taylor]: Taking taylor expansion of K in J
7.818 * [backup-simplify]: Simplify K into K
7.818 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.818 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.818 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.818 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.818 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.818 * [backup-simplify]: Simplify (- 0) into 0
7.818 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.818 * [backup-simplify]: Simplify (* 1 1) into 1
7.819 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.819 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
7.819 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
7.819 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
7.819 * [taylor]: Taking taylor expansion of 1 in J
7.819 * [backup-simplify]: Simplify 1 into 1
7.819 * [backup-simplify]: Simplify (+ 0 1) into 1
7.819 * [backup-simplify]: Simplify (sqrt 1) into 1
7.820 * [backup-simplify]: Simplify (+ 0 0) into 0
7.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.820 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
7.820 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
7.820 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
7.820 * [taylor]: Taking taylor expansion of 1/2 in J
7.820 * [backup-simplify]: Simplify 1/2 into 1/2
7.820 * [taylor]: Taking taylor expansion of K in J
7.820 * [backup-simplify]: Simplify K into K
7.820 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.820 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.820 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.820 * [taylor]: Taking taylor expansion of J in J
7.820 * [backup-simplify]: Simplify 0 into 0
7.820 * [backup-simplify]: Simplify 1 into 1
7.820 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.820 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.821 * [backup-simplify]: Simplify (- 0) into 0
7.821 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.821 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.821 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U
7.821 * [taylor]: Taking taylor expansion of -2 in U
7.821 * [backup-simplify]: Simplify -2 into -2
7.821 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U
7.821 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
7.821 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
7.821 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
7.821 * [taylor]: Taking taylor expansion of 1/4 in U
7.821 * [backup-simplify]: Simplify 1/4 into 1/4
7.821 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
7.821 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.821 * [taylor]: Taking taylor expansion of J in U
7.821 * [backup-simplify]: Simplify J into J
7.821 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
7.821 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.821 * [taylor]: Taking taylor expansion of U in U
7.821 * [backup-simplify]: Simplify 0 into 0
7.821 * [backup-simplify]: Simplify 1 into 1
7.821 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
7.821 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
7.821 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
7.821 * [taylor]: Taking taylor expansion of 1/2 in U
7.821 * [backup-simplify]: Simplify 1/2 into 1/2
7.821 * [taylor]: Taking taylor expansion of K in U
7.821 * [backup-simplify]: Simplify K into K
7.821 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.821 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.821 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.821 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.821 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.822 * [backup-simplify]: Simplify (- 0) into 0
7.822 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.822 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.822 * [backup-simplify]: Simplify (* 1 1) into 1
7.822 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
7.822 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
7.822 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
7.822 * [taylor]: Taking taylor expansion of 1 in U
7.822 * [backup-simplify]: Simplify 1 into 1
7.822 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
7.823 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
7.823 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
7.823 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.823 * [backup-simplify]: Simplify (+ 0) into 0
7.823 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
7.823 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
7.824 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.824 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
7.825 * [backup-simplify]: Simplify (- 0) into 0
7.825 * [backup-simplify]: Simplify (+ 0 0) into 0
7.825 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
7.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
7.826 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
7.826 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
7.827 * [backup-simplify]: Simplify (+ 0 0) into 0
7.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
7.827 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
7.827 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
7.827 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
7.827 * [taylor]: Taking taylor expansion of 1/2 in U
7.827 * [backup-simplify]: Simplify 1/2 into 1/2
7.827 * [taylor]: Taking taylor expansion of K in U
7.827 * [backup-simplify]: Simplify K into K
7.827 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.827 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.827 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.827 * [taylor]: Taking taylor expansion of J in U
7.827 * [backup-simplify]: Simplify J into J
7.827 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.827 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.827 * [backup-simplify]: Simplify (- 0) into 0
7.828 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.828 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
7.828 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U
7.828 * [taylor]: Taking taylor expansion of -2 in U
7.828 * [backup-simplify]: Simplify -2 into -2
7.828 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U
7.828 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
7.828 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
7.828 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
7.828 * [taylor]: Taking taylor expansion of 1/4 in U
7.828 * [backup-simplify]: Simplify 1/4 into 1/4
7.828 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
7.828 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.828 * [taylor]: Taking taylor expansion of J in U
7.828 * [backup-simplify]: Simplify J into J
7.828 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
7.828 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.828 * [taylor]: Taking taylor expansion of U in U
7.828 * [backup-simplify]: Simplify 0 into 0
7.828 * [backup-simplify]: Simplify 1 into 1
7.828 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
7.828 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
7.828 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
7.828 * [taylor]: Taking taylor expansion of 1/2 in U
7.828 * [backup-simplify]: Simplify 1/2 into 1/2
7.828 * [taylor]: Taking taylor expansion of K in U
7.828 * [backup-simplify]: Simplify K into K
7.828 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.828 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.828 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.828 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.828 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.828 * [backup-simplify]: Simplify (- 0) into 0
7.829 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.829 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.829 * [backup-simplify]: Simplify (* 1 1) into 1
7.829 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
7.829 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
7.829 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
7.829 * [taylor]: Taking taylor expansion of 1 in U
7.829 * [backup-simplify]: Simplify 1 into 1
7.829 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
7.829 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
7.830 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
7.830 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.830 * [backup-simplify]: Simplify (+ 0) into 0
7.830 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
7.830 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
7.831 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.831 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
7.831 * [backup-simplify]: Simplify (- 0) into 0
7.831 * [backup-simplify]: Simplify (+ 0 0) into 0
7.832 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
7.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
7.833 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
7.833 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
7.833 * [backup-simplify]: Simplify (+ 0 0) into 0
7.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
7.833 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
7.833 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
7.833 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
7.833 * [taylor]: Taking taylor expansion of 1/2 in U
7.833 * [backup-simplify]: Simplify 1/2 into 1/2
7.833 * [taylor]: Taking taylor expansion of K in U
7.833 * [backup-simplify]: Simplify K into K
7.834 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.834 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.834 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.834 * [taylor]: Taking taylor expansion of J in U
7.834 * [backup-simplify]: Simplify J into J
7.834 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.834 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.834 * [backup-simplify]: Simplify (- 0) into 0
7.834 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.834 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
7.834 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2
7.835 * [backup-simplify]: Simplify (* -2 1/2) into -1
7.835 * [taylor]: Taking taylor expansion of -1 in J
7.835 * [backup-simplify]: Simplify -1 into -1
7.835 * [backup-simplify]: Simplify (+ 0) into 0
7.835 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
7.835 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
7.836 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.836 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
7.836 * [backup-simplify]: Simplify (- 0) into 0
7.837 * [backup-simplify]: Simplify (+ 0 0) into 0
7.837 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0
7.837 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0
7.837 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0
7.837 * [taylor]: Taking taylor expansion of 0 in J
7.837 * [backup-simplify]: Simplify 0 into 0
7.838 * [taylor]: Taking taylor expansion of -1 in K
7.838 * [backup-simplify]: Simplify -1 into -1
7.838 * [backup-simplify]: Simplify -1 into -1
7.838 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.839 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.839 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.839 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.840 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.840 * [backup-simplify]: Simplify (- 0) into 0
7.840 * [backup-simplify]: Simplify (+ 0 0) into 0
7.840 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
7.841 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
7.841 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.842 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.842 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.842 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.843 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.843 * [backup-simplify]: Simplify (- 0) into 0
7.843 * [backup-simplify]: Simplify (+ 0 0) into 0
7.843 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
7.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
7.845 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
7.846 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
7.846 * [backup-simplify]: Simplify (+ 0 1) into 1
7.847 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
7.847 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (/ (cos (/ 1/2 K)) J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))
7.848 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))))
7.848 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J
7.848 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J
7.848 * [taylor]: Taking taylor expansion of 2 in J
7.848 * [backup-simplify]: Simplify 2 into 2
7.848 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J
7.848 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
7.848 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
7.848 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
7.848 * [taylor]: Taking taylor expansion of 1/2 in J
7.848 * [backup-simplify]: Simplify 1/2 into 1/2
7.848 * [taylor]: Taking taylor expansion of K in J
7.848 * [backup-simplify]: Simplify K into K
7.848 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.848 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.848 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.848 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.848 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.849 * [backup-simplify]: Simplify (- 0) into 0
7.849 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.849 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.849 * [taylor]: Taking taylor expansion of J in J
7.849 * [backup-simplify]: Simplify 0 into 0
7.849 * [backup-simplify]: Simplify 1 into 1
7.849 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
7.849 * [backup-simplify]: Simplify (* 1 1) into 1
7.849 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2)
7.850 * [backup-simplify]: Simplify (+ 0) into 0
7.850 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
7.850 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
7.851 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.851 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
7.851 * [backup-simplify]: Simplify (- 0) into 0
7.851 * [backup-simplify]: Simplify (+ 0 0) into 0
7.851 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
7.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0
7.853 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
7.853 * [backup-simplify]: Simplify (- 0) into 0
7.853 * [taylor]: Taking taylor expansion of 0 in K
7.853 * [backup-simplify]: Simplify 0 into 0
7.853 * [backup-simplify]: Simplify 0 into 0
7.853 * [taylor]: Taking taylor expansion of 0 in K
7.853 * [backup-simplify]: Simplify 0 into 0
7.853 * [backup-simplify]: Simplify 0 into 0
7.853 * [taylor]: Taking taylor expansion of 0 in K
7.853 * [backup-simplify]: Simplify 0 into 0
7.853 * [backup-simplify]: Simplify 0 into 0
7.853 * [backup-simplify]: Simplify 0 into 0
7.854 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.854 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.854 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.855 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.856 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.856 * [backup-simplify]: Simplify (- 0) into 0
7.856 * [backup-simplify]: Simplify (+ 0 0) into 0
7.856 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
7.857 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
7.857 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.858 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.858 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.859 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.859 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.860 * [backup-simplify]: Simplify (- 0) into 0
7.860 * [backup-simplify]: Simplify (+ 0 0) into 0
7.860 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
7.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
7.862 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
7.863 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
7.863 * [backup-simplify]: Simplify (+ 0 0) into 0
7.863 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
7.864 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0
7.865 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0
7.865 * [taylor]: Taking taylor expansion of 0 in J
7.865 * [backup-simplify]: Simplify 0 into 0
7.866 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.866 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.866 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.867 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.867 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.867 * [backup-simplify]: Simplify (- 0) into 0
7.868 * [backup-simplify]: Simplify (+ 0 0) into 0
7.868 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
7.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.875 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
7.876 * [backup-simplify]: Simplify (- 0) into 0
7.876 * [taylor]: Taking taylor expansion of 0 in K
7.876 * [backup-simplify]: Simplify 0 into 0
7.876 * [backup-simplify]: Simplify 0 into 0
7.876 * [taylor]: Taking taylor expansion of 0 in K
7.876 * [backup-simplify]: Simplify 0 into 0
7.876 * [backup-simplify]: Simplify 0 into 0
7.876 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U)
7.877 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* 2 (* (cos (* 1/2 (/ 1 (- K)))) (/ 1 (- J)))))) 1)) (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J))))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))
7.877 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (U J K) around 0
7.877 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K
7.877 * [taylor]: Taking taylor expansion of 2 in K
7.877 * [backup-simplify]: Simplify 2 into 2
7.877 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K
7.877 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
7.877 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
7.877 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
7.877 * [taylor]: Taking taylor expansion of -1/2 in K
7.877 * [backup-simplify]: Simplify -1/2 into -1/2
7.877 * [taylor]: Taking taylor expansion of K in K
7.877 * [backup-simplify]: Simplify 0 into 0
7.877 * [backup-simplify]: Simplify 1 into 1
7.878 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.878 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.878 * [taylor]: Taking taylor expansion of J in K
7.878 * [backup-simplify]: Simplify J into J
7.878 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
7.878 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
7.878 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
7.878 * [taylor]: Taking taylor expansion of 1 in K
7.878 * [backup-simplify]: Simplify 1 into 1
7.878 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
7.878 * [taylor]: Taking taylor expansion of 1/4 in K
7.878 * [backup-simplify]: Simplify 1/4 into 1/4
7.878 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
7.878 * [taylor]: Taking taylor expansion of (pow J 2) in K
7.878 * [taylor]: Taking taylor expansion of J in K
7.878 * [backup-simplify]: Simplify J into J
7.878 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
7.878 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
7.878 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
7.878 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
7.878 * [taylor]: Taking taylor expansion of -1/2 in K
7.878 * [backup-simplify]: Simplify -1/2 into -1/2
7.879 * [taylor]: Taking taylor expansion of K in K
7.879 * [backup-simplify]: Simplify 0 into 0
7.879 * [backup-simplify]: Simplify 1 into 1
7.879 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.879 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.879 * [taylor]: Taking taylor expansion of (pow U 2) in K
7.879 * [taylor]: Taking taylor expansion of U in K
7.879 * [backup-simplify]: Simplify U into U
7.879 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.879 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
7.880 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.880 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
7.880 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
7.880 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
7.881 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
7.881 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
7.881 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.882 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
7.882 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
7.882 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
7.882 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
7.883 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
7.884 * [backup-simplify]: Simplify (+ 0 0) into 0
7.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
7.884 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J
7.884 * [taylor]: Taking taylor expansion of 2 in J
7.884 * [backup-simplify]: Simplify 2 into 2
7.884 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J
7.884 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
7.884 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
7.885 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
7.885 * [taylor]: Taking taylor expansion of -1/2 in J
7.885 * [backup-simplify]: Simplify -1/2 into -1/2
7.885 * [taylor]: Taking taylor expansion of K in J
7.885 * [backup-simplify]: Simplify K into K
7.885 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.885 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.885 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.885 * [taylor]: Taking taylor expansion of J in J
7.885 * [backup-simplify]: Simplify 0 into 0
7.885 * [backup-simplify]: Simplify 1 into 1
7.885 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.885 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.886 * [backup-simplify]: Simplify (- 0) into 0
7.886 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.886 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.886 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
7.886 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
7.886 * [taylor]: Taking taylor expansion of 1 in J
7.886 * [backup-simplify]: Simplify 1 into 1
7.886 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
7.886 * [taylor]: Taking taylor expansion of 1/4 in J
7.886 * [backup-simplify]: Simplify 1/4 into 1/4
7.886 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
7.886 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.886 * [taylor]: Taking taylor expansion of J in J
7.886 * [backup-simplify]: Simplify 0 into 0
7.886 * [backup-simplify]: Simplify 1 into 1
7.886 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
7.887 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
7.887 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
7.887 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
7.887 * [taylor]: Taking taylor expansion of -1/2 in J
7.887 * [backup-simplify]: Simplify -1/2 into -1/2
7.887 * [taylor]: Taking taylor expansion of K in J
7.887 * [backup-simplify]: Simplify K into K
7.887 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.887 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.887 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.887 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.887 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.888 * [backup-simplify]: Simplify (- 0) into 0
7.888 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.888 * [taylor]: Taking taylor expansion of (pow U 2) in J
7.888 * [taylor]: Taking taylor expansion of U in J
7.888 * [backup-simplify]: Simplify U into U
7.888 * [backup-simplify]: Simplify (* 1 1) into 1
7.888 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
7.888 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.888 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
7.889 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
7.889 * [backup-simplify]: Simplify (+ 1 0) into 1
7.890 * [backup-simplify]: Simplify (sqrt 1) into 1
7.890 * [backup-simplify]: Simplify (+ 0 0) into 0
7.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.891 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
7.892 * [taylor]: Taking taylor expansion of 2 in U
7.892 * [backup-simplify]: Simplify 2 into 2
7.892 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
7.892 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
7.892 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
7.892 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
7.892 * [taylor]: Taking taylor expansion of -1/2 in U
7.892 * [backup-simplify]: Simplify -1/2 into -1/2
7.892 * [taylor]: Taking taylor expansion of K in U
7.892 * [backup-simplify]: Simplify K into K
7.892 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.892 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.892 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.892 * [taylor]: Taking taylor expansion of J in U
7.892 * [backup-simplify]: Simplify J into J
7.892 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.892 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.893 * [backup-simplify]: Simplify (- 0) into 0
7.893 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.893 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
7.893 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
7.893 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
7.893 * [taylor]: Taking taylor expansion of 1 in U
7.893 * [backup-simplify]: Simplify 1 into 1
7.893 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
7.893 * [taylor]: Taking taylor expansion of 1/4 in U
7.893 * [backup-simplify]: Simplify 1/4 into 1/4
7.893 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
7.893 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.893 * [taylor]: Taking taylor expansion of J in U
7.893 * [backup-simplify]: Simplify J into J
7.894 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
7.894 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
7.894 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
7.894 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
7.894 * [taylor]: Taking taylor expansion of -1/2 in U
7.894 * [backup-simplify]: Simplify -1/2 into -1/2
7.894 * [taylor]: Taking taylor expansion of K in U
7.894 * [backup-simplify]: Simplify K into K
7.894 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.894 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.894 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.894 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.894 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.894 * [backup-simplify]: Simplify (- 0) into 0
7.895 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.895 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.895 * [taylor]: Taking taylor expansion of U in U
7.895 * [backup-simplify]: Simplify 0 into 0
7.895 * [backup-simplify]: Simplify 1 into 1
7.895 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.895 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
7.895 * [backup-simplify]: Simplify (* 1 1) into 1
7.895 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
7.896 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
7.896 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
7.896 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
7.896 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
7.896 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.897 * [backup-simplify]: Simplify (+ 0) into 0
7.898 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
7.898 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
7.899 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.899 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
7.900 * [backup-simplify]: Simplify (- 0) into 0
7.900 * [backup-simplify]: Simplify (+ 0 0) into 0
7.900 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
7.901 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
7.901 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
7.902 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
7.902 * [backup-simplify]: Simplify (+ 0 0) into 0
7.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
7.902 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
7.902 * [taylor]: Taking taylor expansion of 2 in U
7.902 * [backup-simplify]: Simplify 2 into 2
7.902 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
7.902 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
7.902 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
7.902 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
7.902 * [taylor]: Taking taylor expansion of -1/2 in U
7.903 * [backup-simplify]: Simplify -1/2 into -1/2
7.903 * [taylor]: Taking taylor expansion of K in U
7.903 * [backup-simplify]: Simplify K into K
7.903 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.903 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.903 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.903 * [taylor]: Taking taylor expansion of J in U
7.903 * [backup-simplify]: Simplify J into J
7.903 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.903 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.903 * [backup-simplify]: Simplify (- 0) into 0
7.903 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.904 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
7.904 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
7.904 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
7.904 * [taylor]: Taking taylor expansion of 1 in U
7.904 * [backup-simplify]: Simplify 1 into 1
7.904 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
7.904 * [taylor]: Taking taylor expansion of 1/4 in U
7.904 * [backup-simplify]: Simplify 1/4 into 1/4
7.904 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
7.904 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.904 * [taylor]: Taking taylor expansion of J in U
7.904 * [backup-simplify]: Simplify J into J
7.904 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
7.904 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
7.904 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
7.904 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
7.904 * [taylor]: Taking taylor expansion of -1/2 in U
7.904 * [backup-simplify]: Simplify -1/2 into -1/2
7.904 * [taylor]: Taking taylor expansion of K in U
7.904 * [backup-simplify]: Simplify K into K
7.904 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.904 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.904 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.904 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.904 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.905 * [backup-simplify]: Simplify (- 0) into 0
7.905 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.905 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.905 * [taylor]: Taking taylor expansion of U in U
7.905 * [backup-simplify]: Simplify 0 into 0
7.905 * [backup-simplify]: Simplify 1 into 1
7.905 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.905 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
7.906 * [backup-simplify]: Simplify (* 1 1) into 1
7.906 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
7.906 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
7.906 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
7.906 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
7.907 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
7.907 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.908 * [backup-simplify]: Simplify (+ 0) into 0
7.908 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
7.908 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
7.909 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.910 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
7.910 * [backup-simplify]: Simplify (- 0) into 0
7.910 * [backup-simplify]: Simplify (+ 0 0) into 0
7.911 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
7.911 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
7.911 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
7.912 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
7.912 * [backup-simplify]: Simplify (+ 0 0) into 0
7.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
7.913 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2
7.913 * [backup-simplify]: Simplify (* 2 1/2) into 1
7.913 * [taylor]: Taking taylor expansion of 1 in J
7.913 * [backup-simplify]: Simplify 1 into 1
7.914 * [backup-simplify]: Simplify (+ 0) into 0
7.914 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
7.915 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
7.915 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.916 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
7.916 * [backup-simplify]: Simplify (- 0) into 0
7.916 * [backup-simplify]: Simplify (+ 0 0) into 0
7.917 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0
7.917 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
7.918 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0
7.918 * [taylor]: Taking taylor expansion of 0 in J
7.918 * [backup-simplify]: Simplify 0 into 0
7.918 * [taylor]: Taking taylor expansion of 1 in K
7.918 * [backup-simplify]: Simplify 1 into 1
7.918 * [backup-simplify]: Simplify 1 into 1
7.918 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
7.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.920 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.921 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.921 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.922 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.922 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.922 * [backup-simplify]: Simplify (- 0) into 0
7.923 * [backup-simplify]: Simplify (+ 0 0) into 0
7.923 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
7.924 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
7.925 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
7.926 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
7.926 * [backup-simplify]: Simplify (+ 1 0) into 1
7.927 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
7.928 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.928 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.929 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.929 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.930 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.930 * [backup-simplify]: Simplify (- 0) into 0
7.931 * [backup-simplify]: Simplify (+ 0 0) into 0
7.931 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
7.932 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))
7.932 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))
7.932 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J
7.933 * [taylor]: Taking taylor expansion of 2 in J
7.933 * [backup-simplify]: Simplify 2 into 2
7.933 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J
7.933 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
7.933 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
7.933 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
7.933 * [taylor]: Taking taylor expansion of -1/2 in J
7.933 * [backup-simplify]: Simplify -1/2 into -1/2
7.933 * [taylor]: Taking taylor expansion of K in J
7.933 * [backup-simplify]: Simplify K into K
7.933 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.933 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.933 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.933 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.933 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.934 * [backup-simplify]: Simplify (- 0) into 0
7.934 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.934 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.934 * [taylor]: Taking taylor expansion of J in J
7.934 * [backup-simplify]: Simplify 0 into 0
7.934 * [backup-simplify]: Simplify 1 into 1
7.934 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
7.934 * [backup-simplify]: Simplify (* 1 1) into 1
7.934 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
7.935 * [backup-simplify]: Simplify (+ 0) into 0
7.935 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
7.935 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
7.936 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.937 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
7.937 * [backup-simplify]: Simplify (- 0) into 0
7.937 * [backup-simplify]: Simplify (+ 0 0) into 0
7.937 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
7.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0
7.940 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
7.940 * [taylor]: Taking taylor expansion of 0 in K
7.940 * [backup-simplify]: Simplify 0 into 0
7.940 * [backup-simplify]: Simplify 0 into 0
7.940 * [taylor]: Taking taylor expansion of 0 in K
7.940 * [backup-simplify]: Simplify 0 into 0
7.940 * [backup-simplify]: Simplify 0 into 0
7.940 * [taylor]: Taking taylor expansion of 0 in K
7.940 * [backup-simplify]: Simplify 0 into 0
7.940 * [backup-simplify]: Simplify 0 into 0
7.940 * [backup-simplify]: Simplify 0 into 0
7.941 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
7.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.943 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.944 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.944 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.946 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.947 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.947 * [backup-simplify]: Simplify (- 0) into 0
7.948 * [backup-simplify]: Simplify (+ 0 0) into 0
7.948 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
7.949 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.950 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
7.951 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
7.951 * [backup-simplify]: Simplify (+ 0 0) into 0
7.952 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
7.953 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.954 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.954 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.955 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.956 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.956 * [backup-simplify]: Simplify (- 0) into 0
7.957 * [backup-simplify]: Simplify (+ 0 0) into 0
7.957 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
7.958 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0
7.959 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0
7.959 * [taylor]: Taking taylor expansion of 0 in J
7.959 * [backup-simplify]: Simplify 0 into 0
7.960 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.960 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.961 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.961 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.962 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.962 * [backup-simplify]: Simplify (- 0) into 0
7.963 * [backup-simplify]: Simplify (+ 0 0) into 0
7.963 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
7.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.967 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
7.967 * [taylor]: Taking taylor expansion of 0 in K
7.967 * [backup-simplify]: Simplify 0 into 0
7.967 * [backup-simplify]: Simplify 0 into 0
7.967 * [taylor]: Taking taylor expansion of 0 in K
7.967 * [backup-simplify]: Simplify 0 into 0
7.967 * [backup-simplify]: Simplify 0 into 0
7.967 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U)
7.967 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1)
7.967 * [backup-simplify]: Simplify (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
7.967 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in (U J K) around 0
7.967 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
7.967 * [taylor]: Taking taylor expansion of 1/4 in K
7.968 * [backup-simplify]: Simplify 1/4 into 1/4
7.968 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
7.968 * [taylor]: Taking taylor expansion of (pow U 2) in K
7.968 * [taylor]: Taking taylor expansion of U in K
7.968 * [backup-simplify]: Simplify U into U
7.968 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
7.968 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
7.968 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
7.968 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
7.968 * [taylor]: Taking taylor expansion of 1/2 in K
7.968 * [backup-simplify]: Simplify 1/2 into 1/2
7.968 * [taylor]: Taking taylor expansion of K in K
7.968 * [backup-simplify]: Simplify 0 into 0
7.968 * [backup-simplify]: Simplify 1 into 1
7.968 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.969 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.969 * [taylor]: Taking taylor expansion of (pow J 2) in K
7.969 * [taylor]: Taking taylor expansion of J in K
7.969 * [backup-simplify]: Simplify J into J
7.969 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.970 * [backup-simplify]: Simplify (* 1 1) into 1
7.970 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.970 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
7.970 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
7.970 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
7.970 * [taylor]: Taking taylor expansion of 1/4 in J
7.970 * [backup-simplify]: Simplify 1/4 into 1/4
7.970 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
7.970 * [taylor]: Taking taylor expansion of (pow U 2) in J
7.970 * [taylor]: Taking taylor expansion of U in J
7.970 * [backup-simplify]: Simplify U into U
7.970 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
7.970 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
7.970 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
7.970 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
7.970 * [taylor]: Taking taylor expansion of 1/2 in J
7.970 * [backup-simplify]: Simplify 1/2 into 1/2
7.970 * [taylor]: Taking taylor expansion of K in J
7.970 * [backup-simplify]: Simplify K into K
7.970 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
7.970 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
7.970 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
7.971 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
7.971 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
7.971 * [backup-simplify]: Simplify (- 0) into 0
7.971 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
7.971 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.971 * [taylor]: Taking taylor expansion of J in J
7.971 * [backup-simplify]: Simplify 0 into 0
7.971 * [backup-simplify]: Simplify 1 into 1
7.971 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.971 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
7.972 * [backup-simplify]: Simplify (* 1 1) into 1
7.972 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
7.972 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
7.972 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
7.972 * [taylor]: Taking taylor expansion of 1/4 in U
7.972 * [backup-simplify]: Simplify 1/4 into 1/4
7.972 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
7.972 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.972 * [taylor]: Taking taylor expansion of U in U
7.972 * [backup-simplify]: Simplify 0 into 0
7.972 * [backup-simplify]: Simplify 1 into 1
7.972 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
7.972 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
7.972 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
7.972 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
7.972 * [taylor]: Taking taylor expansion of 1/2 in U
7.973 * [backup-simplify]: Simplify 1/2 into 1/2
7.973 * [taylor]: Taking taylor expansion of K in U
7.973 * [backup-simplify]: Simplify K into K
7.973 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
7.973 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
7.973 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
7.973 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
7.973 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
7.973 * [backup-simplify]: Simplify (- 0) into 0
7.973 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
7.973 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.974 * [taylor]: Taking taylor expansion of J in U
7.974 * [backup-simplify]: Simplify J into J
7.974 * [backup-simplify]: Simplify (* 1 1) into 1
7.974 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
7.974 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.974 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
7.974 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
7.975 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
7.975 * [taylor]: Taking taylor expansion of 1/4 in U
7.975 * [backup-simplify]: Simplify 1/4 into 1/4
7.975 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
7.975 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.975 * [taylor]: Taking taylor expansion of U in U
7.975 * [backup-simplify]: Simplify 0 into 0
7.975 * [backup-simplify]: Simplify 1 into 1
7.975 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
7.975 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
7.975 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
7.975 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
7.975 * [taylor]: Taking taylor expansion of 1/2 in U
7.975 * [backup-simplify]: Simplify 1/2 into 1/2
7.975 * [taylor]: Taking taylor expansion of K in U
7.975 * [backup-simplify]: Simplify K into K
7.975 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
7.975 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
7.975 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
7.975 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
7.975 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
7.976 * [backup-simplify]: Simplify (- 0) into 0
7.976 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
7.976 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.976 * [taylor]: Taking taylor expansion of J in U
7.976 * [backup-simplify]: Simplify J into J
7.977 * [backup-simplify]: Simplify (* 1 1) into 1
7.977 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
7.977 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.977 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
7.977 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
7.977 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
7.977 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
7.977 * [taylor]: Taking taylor expansion of 1/4 in J
7.978 * [backup-simplify]: Simplify 1/4 into 1/4
7.978 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
7.978 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
7.978 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
7.978 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
7.978 * [taylor]: Taking taylor expansion of 1/2 in J
7.978 * [backup-simplify]: Simplify 1/2 into 1/2
7.978 * [taylor]: Taking taylor expansion of K in J
7.978 * [backup-simplify]: Simplify K into K
7.978 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
7.978 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
7.978 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
7.978 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
7.978 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
7.979 * [backup-simplify]: Simplify (- 0) into 0
7.979 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
7.979 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.979 * [taylor]: Taking taylor expansion of J in J
7.979 * [backup-simplify]: Simplify 0 into 0
7.979 * [backup-simplify]: Simplify 1 into 1
7.979 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
7.979 * [backup-simplify]: Simplify (* 1 1) into 1
7.979 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
7.980 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (* 1/2 K)) 2)) into (/ 1/4 (pow (cos (* 1/2 K)) 2))
7.980 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (* 1/2 K)) 2)) in K
7.980 * [taylor]: Taking taylor expansion of 1/4 in K
7.980 * [backup-simplify]: Simplify 1/4 into 1/4
7.980 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
7.980 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
7.980 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
7.980 * [taylor]: Taking taylor expansion of 1/2 in K
7.980 * [backup-simplify]: Simplify 1/2 into 1/2
7.980 * [taylor]: Taking taylor expansion of K in K
7.980 * [backup-simplify]: Simplify 0 into 0
7.980 * [backup-simplify]: Simplify 1 into 1
7.980 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.981 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.981 * [backup-simplify]: Simplify (* 1 1) into 1
7.982 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
7.982 * [backup-simplify]: Simplify 1/4 into 1/4
7.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.983 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.983 * [backup-simplify]: Simplify (+ 0) into 0
7.984 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
7.984 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
7.985 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.985 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
7.986 * [backup-simplify]: Simplify (- 0) into 0
7.986 * [backup-simplify]: Simplify (+ 0 0) into 0
7.986 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
7.986 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
7.987 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
7.988 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
7.988 * [taylor]: Taking taylor expansion of 0 in J
7.988 * [backup-simplify]: Simplify 0 into 0
7.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.989 * [backup-simplify]: Simplify (+ 0) into 0
7.989 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
7.990 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
7.990 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.991 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
7.991 * [backup-simplify]: Simplify (- 0) into 0
7.992 * [backup-simplify]: Simplify (+ 0 0) into 0
7.992 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
7.992 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
7.993 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
7.993 * [taylor]: Taking taylor expansion of 0 in K
7.993 * [backup-simplify]: Simplify 0 into 0
7.993 * [backup-simplify]: Simplify 0 into 0
7.993 * [backup-simplify]: Simplify (+ 0) into 0
7.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
7.995 * [backup-simplify]: Simplify 0 into 0
7.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.996 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
7.997 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.998 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.999 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
7.999 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
8.000 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
8.000 * [backup-simplify]: Simplify (- 0) into 0
8.001 * [backup-simplify]: Simplify (+ 0 0) into 0
8.001 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
8.002 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
8.002 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
8.003 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
8.003 * [taylor]: Taking taylor expansion of 0 in J
8.003 * [backup-simplify]: Simplify 0 into 0
8.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.005 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
8.006 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
8.007 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
8.008 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
8.008 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
8.008 * [backup-simplify]: Simplify (- 0) into 0
8.009 * [backup-simplify]: Simplify (+ 0 0) into 0
8.009 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
8.010 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
8.010 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
8.010 * [taylor]: Taking taylor expansion of 0 in K
8.010 * [backup-simplify]: Simplify 0 into 0
8.011 * [backup-simplify]: Simplify 0 into 0
8.011 * [backup-simplify]: Simplify 0 into 0
8.012 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
8.013 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4
8.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ -1/4 1)) (* 0 (/ 0 1)))) into 1/16
8.014 * [backup-simplify]: Simplify 1/16 into 1/16
8.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.016 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
8.017 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
8.017 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.019 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
8.024 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
8.025 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
8.026 * [backup-simplify]: Simplify (- 0) into 0
8.026 * [backup-simplify]: Simplify (+ 0 0) into 0
8.027 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
8.028 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0
8.028 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
8.030 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0
8.030 * [taylor]: Taking taylor expansion of 0 in J
8.030 * [backup-simplify]: Simplify 0 into 0
8.030 * [taylor]: Taking taylor expansion of 0 in K
8.030 * [backup-simplify]: Simplify 0 into 0
8.030 * [backup-simplify]: Simplify 0 into 0
8.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.032 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
8.033 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.034 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
8.035 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
8.036 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
8.036 * [backup-simplify]: Simplify (- 0) into 0
8.037 * [backup-simplify]: Simplify (+ 0 0) into 0
8.038 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
8.040 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.041 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
8.041 * [taylor]: Taking taylor expansion of 0 in K
8.041 * [backup-simplify]: Simplify 0 into 0
8.041 * [backup-simplify]: Simplify 0 into 0
8.041 * [backup-simplify]: Simplify 0 into 0
8.041 * [backup-simplify]: Simplify 0 into 0
8.043 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
8.045 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
8.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0
8.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ -1/4 1)) (* 1/16 (/ 0 1)))) into 0
8.049 * [backup-simplify]: Simplify 0 into 0
8.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.051 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0
8.054 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
8.055 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.057 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0
8.059 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
8.060 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
8.060 * [backup-simplify]: Simplify (- 0) into 0
8.061 * [backup-simplify]: Simplify (+ 0 0) into 0
8.062 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0
8.063 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0
8.064 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
8.066 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))) into 0
8.066 * [taylor]: Taking taylor expansion of 0 in J
8.066 * [backup-simplify]: Simplify 0 into 0
8.066 * [taylor]: Taking taylor expansion of 0 in K
8.066 * [backup-simplify]: Simplify 0 into 0
8.066 * [backup-simplify]: Simplify 0 into 0
8.067 * [backup-simplify]: Simplify (+ (* 1/16 (pow (* K (* (/ 1 J) U)) 2)) (* 1/4 (pow (* 1 (* (/ 1 J) U)) 2))) into (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
8.067 * [backup-simplify]: Simplify (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* 2 (* (cos (* 1/2 (/ 1 K))) (/ 1 J))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
8.067 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in (U J K) around 0
8.067 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
8.067 * [taylor]: Taking taylor expansion of 1/4 in K
8.067 * [backup-simplify]: Simplify 1/4 into 1/4
8.067 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
8.067 * [taylor]: Taking taylor expansion of (pow J 2) in K
8.068 * [taylor]: Taking taylor expansion of J in K
8.068 * [backup-simplify]: Simplify J into J
8.068 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
8.068 * [taylor]: Taking taylor expansion of (pow U 2) in K
8.068 * [taylor]: Taking taylor expansion of U in K
8.068 * [backup-simplify]: Simplify U into U
8.068 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
8.068 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
8.068 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
8.068 * [taylor]: Taking taylor expansion of 1/2 in K
8.068 * [backup-simplify]: Simplify 1/2 into 1/2
8.068 * [taylor]: Taking taylor expansion of K in K
8.068 * [backup-simplify]: Simplify 0 into 0
8.068 * [backup-simplify]: Simplify 1 into 1
8.068 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.069 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
8.069 * [backup-simplify]: Simplify (* J J) into (pow J 2)
8.069 * [backup-simplify]: Simplify (* U U) into (pow U 2)
8.069 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
8.069 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
8.069 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
8.069 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
8.069 * [taylor]: Taking taylor expansion of 1/4 in J
8.069 * [backup-simplify]: Simplify 1/4 into 1/4
8.069 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
8.069 * [taylor]: Taking taylor expansion of (pow J 2) in J
8.069 * [taylor]: Taking taylor expansion of J in J
8.069 * [backup-simplify]: Simplify 0 into 0
8.069 * [backup-simplify]: Simplify 1 into 1
8.070 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
8.070 * [taylor]: Taking taylor expansion of (pow U 2) in J
8.070 * [taylor]: Taking taylor expansion of U in J
8.070 * [backup-simplify]: Simplify U into U
8.070 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
8.070 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
8.070 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
8.070 * [taylor]: Taking taylor expansion of 1/2 in J
8.070 * [backup-simplify]: Simplify 1/2 into 1/2
8.070 * [taylor]: Taking taylor expansion of K in J
8.070 * [backup-simplify]: Simplify K into K
8.070 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
8.070 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
8.070 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
8.070 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
8.070 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
8.071 * [backup-simplify]: Simplify (- 0) into 0
8.071 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
8.071 * [backup-simplify]: Simplify (* 1 1) into 1
8.071 * [backup-simplify]: Simplify (* U U) into (pow U 2)
8.071 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
8.072 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
8.072 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
8.072 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
8.072 * [taylor]: Taking taylor expansion of 1/4 in U
8.072 * [backup-simplify]: Simplify 1/4 into 1/4
8.072 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
8.072 * [taylor]: Taking taylor expansion of (pow J 2) in U
8.072 * [taylor]: Taking taylor expansion of J in U
8.072 * [backup-simplify]: Simplify J into J
8.072 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
8.072 * [taylor]: Taking taylor expansion of (pow U 2) in U
8.072 * [taylor]: Taking taylor expansion of U in U
8.072 * [backup-simplify]: Simplify 0 into 0
8.072 * [backup-simplify]: Simplify 1 into 1
8.072 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
8.072 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
8.072 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
8.072 * [taylor]: Taking taylor expansion of 1/2 in U
8.072 * [backup-simplify]: Simplify 1/2 into 1/2
8.072 * [taylor]: Taking taylor expansion of K in U
8.072 * [backup-simplify]: Simplify K into K
8.072 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
8.072 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
8.072 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
8.072 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
8.073 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
8.073 * [backup-simplify]: Simplify (- 0) into 0
8.073 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
8.073 * [backup-simplify]: Simplify (* J J) into (pow J 2)
8.073 * [backup-simplify]: Simplify (* 1 1) into 1
8.074 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
8.074 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
8.074 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
8.074 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
8.074 * [taylor]: Taking taylor expansion of 1/4 in U
8.074 * [backup-simplify]: Simplify 1/4 into 1/4
8.074 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
8.074 * [taylor]: Taking taylor expansion of (pow J 2) in U
8.074 * [taylor]: Taking taylor expansion of J in U
8.074 * [backup-simplify]: Simplify J into J
8.074 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
8.074 * [taylor]: Taking taylor expansion of (pow U 2) in U
8.074 * [taylor]: Taking taylor expansion of U in U
8.074 * [backup-simplify]: Simplify 0 into 0
8.074 * [backup-simplify]: Simplify 1 into 1
8.074 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
8.074 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
8.074 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
8.074 * [taylor]: Taking taylor expansion of 1/2 in U
8.074 * [backup-simplify]: Simplify 1/2 into 1/2
8.074 * [taylor]: Taking taylor expansion of K in U
8.074 * [backup-simplify]: Simplify K into K
8.074 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
8.074 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
8.075 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
8.075 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
8.075 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
8.075 * [backup-simplify]: Simplify (- 0) into 0
8.075 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
8.075 * [backup-simplify]: Simplify (* J J) into (pow J 2)
8.076 * [backup-simplify]: Simplify (* 1 1) into 1
8.076 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
8.076 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
8.076 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
8.076 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
8.076 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J
8.076 * [taylor]: Taking taylor expansion of 1/4 in J
8.076 * [backup-simplify]: Simplify 1/4 into 1/4
8.076 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J
8.076 * [taylor]: Taking taylor expansion of (pow J 2) in J
8.076 * [taylor]: Taking taylor expansion of J in J
8.076 * [backup-simplify]: Simplify 0 into 0
8.076 * [backup-simplify]: Simplify 1 into 1
8.077 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
8.077 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
8.077 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
8.077 * [taylor]: Taking taylor expansion of 1/2 in J
8.077 * [backup-simplify]: Simplify 1/2 into 1/2
8.077 * [taylor]: Taking taylor expansion of K in J
8.077 * [backup-simplify]: Simplify K into K
8.077 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
8.077 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
8.077 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
8.077 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
8.077 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
8.077 * [backup-simplify]: Simplify (- 0) into 0
8.078 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
8.078 * [backup-simplify]: Simplify (* 1 1) into 1
8.078 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
8.078 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2))
8.078 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
8.078 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K
8.078 * [taylor]: Taking taylor expansion of 1/4 in K
8.078 * [backup-simplify]: Simplify 1/4 into 1/4
8.078 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
8.078 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
8.078 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
8.078 * [taylor]: Taking taylor expansion of 1/2 in K
8.079 * [backup-simplify]: Simplify 1/2 into 1/2
8.079 * [taylor]: Taking taylor expansion of K in K
8.079 * [backup-simplify]: Simplify 0 into 0
8.079 * [backup-simplify]: Simplify 1 into 1
8.079 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.079 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
8.079 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
8.079 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
8.079 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
8.080 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
8.080 * [backup-simplify]: Simplify (+ 0) into 0
8.080 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
8.081 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
8.081 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
8.082 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
8.082 * [backup-simplify]: Simplify (- 0) into 0
8.082 * [backup-simplify]: Simplify (+ 0 0) into 0
8.082 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
8.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
8.084 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
8.085 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
8.085 * [taylor]: Taking taylor expansion of 0 in J
8.085 * [backup-simplify]: Simplify 0 into 0
8.085 * [taylor]: Taking taylor expansion of 0 in K
8.085 * [backup-simplify]: Simplify 0 into 0
8.085 * [backup-simplify]: Simplify 0 into 0
8.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.086 * [backup-simplify]: Simplify (+ 0) into 0
8.086 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
8.086 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
8.087 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
8.087 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
8.088 * [backup-simplify]: Simplify (- 0) into 0
8.088 * [backup-simplify]: Simplify (+ 0 0) into 0
8.088 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
8.089 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
8.089 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0
8.089 * [taylor]: Taking taylor expansion of 0 in K
8.089 * [backup-simplify]: Simplify 0 into 0
8.089 * [backup-simplify]: Simplify 0 into 0
8.089 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
8.090 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
8.090 * [backup-simplify]: Simplify 0 into 0
8.090 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
8.091 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
8.092 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
8.092 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
8.093 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
8.093 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
8.094 * [backup-simplify]: Simplify (- 0) into 0
8.094 * [backup-simplify]: Simplify (+ 0 0) into 0
8.094 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
8.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
8.096 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
8.096 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
8.096 * [taylor]: Taking taylor expansion of 0 in J
8.096 * [backup-simplify]: Simplify 0 into 0
8.096 * [taylor]: Taking taylor expansion of 0 in K
8.096 * [backup-simplify]: Simplify 0 into 0
8.097 * [backup-simplify]: Simplify 0 into 0
8.097 * [taylor]: Taking taylor expansion of 0 in K
8.097 * [backup-simplify]: Simplify 0 into 0
8.097 * [backup-simplify]: Simplify 0 into 0
8.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.098 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
8.098 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
8.098 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
8.099 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
8.099 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
8.099 * [backup-simplify]: Simplify (- 0) into 0
8.099 * [backup-simplify]: Simplify (+ 0 0) into 0
8.100 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
8.100 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
8.101 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0
8.101 * [taylor]: Taking taylor expansion of 0 in K
8.101 * [backup-simplify]: Simplify 0 into 0
8.101 * [backup-simplify]: Simplify 0 into 0
8.101 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)) (pow (* 1 (* (/ 1 J) (/ 1 (/ 1 U)))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
8.101 * [backup-simplify]: Simplify (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* 2 (* (cos (* 1/2 (/ 1 (- K)))) (/ 1 (- J)))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
8.101 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in (U J K) around 0
8.101 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
8.101 * [taylor]: Taking taylor expansion of 1/4 in K
8.101 * [backup-simplify]: Simplify 1/4 into 1/4
8.101 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
8.101 * [taylor]: Taking taylor expansion of (pow J 2) in K
8.101 * [taylor]: Taking taylor expansion of J in K
8.101 * [backup-simplify]: Simplify J into J
8.101 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
8.101 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
8.101 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
8.101 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
8.101 * [taylor]: Taking taylor expansion of -1/2 in K
8.101 * [backup-simplify]: Simplify -1/2 into -1/2
8.101 * [taylor]: Taking taylor expansion of K in K
8.101 * [backup-simplify]: Simplify 0 into 0
8.101 * [backup-simplify]: Simplify 1 into 1
8.102 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
8.102 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
8.102 * [taylor]: Taking taylor expansion of (pow U 2) in K
8.102 * [taylor]: Taking taylor expansion of U in K
8.102 * [backup-simplify]: Simplify U into U
8.102 * [backup-simplify]: Simplify (* J J) into (pow J 2)
8.102 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
8.102 * [backup-simplify]: Simplify (* U U) into (pow U 2)
8.102 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
8.102 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
8.102 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
8.102 * [taylor]: Taking taylor expansion of 1/4 in J
8.102 * [backup-simplify]: Simplify 1/4 into 1/4
8.102 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
8.102 * [taylor]: Taking taylor expansion of (pow J 2) in J
8.102 * [taylor]: Taking taylor expansion of J in J
8.102 * [backup-simplify]: Simplify 0 into 0
8.102 * [backup-simplify]: Simplify 1 into 1
8.102 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
8.102 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
8.102 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
8.102 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
8.102 * [taylor]: Taking taylor expansion of -1/2 in J
8.102 * [backup-simplify]: Simplify -1/2 into -1/2
8.103 * [taylor]: Taking taylor expansion of K in J
8.103 * [backup-simplify]: Simplify K into K
8.103 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
8.103 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
8.103 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
8.103 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
8.103 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
8.103 * [backup-simplify]: Simplify (- 0) into 0
8.103 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
8.103 * [taylor]: Taking taylor expansion of (pow U 2) in J
8.103 * [taylor]: Taking taylor expansion of U in J
8.103 * [backup-simplify]: Simplify U into U
8.103 * [backup-simplify]: Simplify (* 1 1) into 1
8.103 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
8.104 * [backup-simplify]: Simplify (* U U) into (pow U 2)
8.104 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
8.104 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
8.104 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
8.104 * [taylor]: Taking taylor expansion of 1/4 in U
8.104 * [backup-simplify]: Simplify 1/4 into 1/4
8.104 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
8.104 * [taylor]: Taking taylor expansion of (pow J 2) in U
8.104 * [taylor]: Taking taylor expansion of J in U
8.104 * [backup-simplify]: Simplify J into J
8.104 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
8.104 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
8.104 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
8.104 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
8.104 * [taylor]: Taking taylor expansion of -1/2 in U
8.104 * [backup-simplify]: Simplify -1/2 into -1/2
8.104 * [taylor]: Taking taylor expansion of K in U
8.104 * [backup-simplify]: Simplify K into K
8.104 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
8.104 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
8.104 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
8.104 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
8.104 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
8.104 * [backup-simplify]: Simplify (- 0) into 0
8.104 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
8.105 * [taylor]: Taking taylor expansion of (pow U 2) in U
8.105 * [taylor]: Taking taylor expansion of U in U
8.105 * [backup-simplify]: Simplify 0 into 0
8.105 * [backup-simplify]: Simplify 1 into 1
8.105 * [backup-simplify]: Simplify (* J J) into (pow J 2)
8.105 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
8.105 * [backup-simplify]: Simplify (* 1 1) into 1
8.105 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
8.105 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
8.105 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
8.105 * [taylor]: Taking taylor expansion of 1/4 in U
8.105 * [backup-simplify]: Simplify 1/4 into 1/4
8.105 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
8.105 * [taylor]: Taking taylor expansion of (pow J 2) in U
8.105 * [taylor]: Taking taylor expansion of J in U
8.105 * [backup-simplify]: Simplify J into J
8.105 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
8.105 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
8.105 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
8.105 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
8.105 * [taylor]: Taking taylor expansion of -1/2 in U
8.105 * [backup-simplify]: Simplify -1/2 into -1/2
8.105 * [taylor]: Taking taylor expansion of K in U
8.105 * [backup-simplify]: Simplify K into K
8.105 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
8.105 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
8.105 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
8.106 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
8.106 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
8.106 * [backup-simplify]: Simplify (- 0) into 0
8.106 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
8.106 * [taylor]: Taking taylor expansion of (pow U 2) in U
8.106 * [taylor]: Taking taylor expansion of U in U
8.106 * [backup-simplify]: Simplify 0 into 0
8.106 * [backup-simplify]: Simplify 1 into 1
8.106 * [backup-simplify]: Simplify (* J J) into (pow J 2)
8.106 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
8.107 * [backup-simplify]: Simplify (* 1 1) into 1
8.107 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
8.107 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
8.107 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
8.107 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J
8.107 * [taylor]: Taking taylor expansion of 1/4 in J
8.107 * [backup-simplify]: Simplify 1/4 into 1/4
8.107 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J
8.107 * [taylor]: Taking taylor expansion of (pow J 2) in J
8.107 * [taylor]: Taking taylor expansion of J in J
8.107 * [backup-simplify]: Simplify 0 into 0
8.107 * [backup-simplify]: Simplify 1 into 1
8.107 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
8.107 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
8.107 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
8.107 * [taylor]: Taking taylor expansion of -1/2 in J
8.107 * [backup-simplify]: Simplify -1/2 into -1/2
8.107 * [taylor]: Taking taylor expansion of K in J
8.107 * [backup-simplify]: Simplify K into K
8.107 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
8.107 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
8.107 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
8.107 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
8.107 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
8.108 * [backup-simplify]: Simplify (- 0) into 0
8.108 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
8.108 * [backup-simplify]: Simplify (* 1 1) into 1
8.108 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
8.108 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2))
8.108 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
8.108 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K
8.108 * [taylor]: Taking taylor expansion of 1/4 in K
8.108 * [backup-simplify]: Simplify 1/4 into 1/4
8.108 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
8.108 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
8.108 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
8.108 * [taylor]: Taking taylor expansion of -1/2 in K
8.108 * [backup-simplify]: Simplify -1/2 into -1/2
8.108 * [taylor]: Taking taylor expansion of K in K
8.108 * [backup-simplify]: Simplify 0 into 0
8.108 * [backup-simplify]: Simplify 1 into 1
8.109 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
8.109 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
8.109 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
8.109 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
8.109 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
8.109 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
8.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.110 * [backup-simplify]: Simplify (+ 0) into 0
8.110 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
8.110 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
8.111 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
8.111 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
8.111 * [backup-simplify]: Simplify (- 0) into 0
8.111 * [backup-simplify]: Simplify (+ 0 0) into 0
8.111 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
8.112 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
8.112 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
8.112 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
8.112 * [taylor]: Taking taylor expansion of 0 in J
8.112 * [backup-simplify]: Simplify 0 into 0
8.112 * [taylor]: Taking taylor expansion of 0 in K
8.112 * [backup-simplify]: Simplify 0 into 0
8.112 * [backup-simplify]: Simplify 0 into 0
8.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.113 * [backup-simplify]: Simplify (+ 0) into 0
8.113 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
8.114 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
8.114 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
8.114 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
8.115 * [backup-simplify]: Simplify (- 0) into 0
8.115 * [backup-simplify]: Simplify (+ 0 0) into 0
8.115 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
8.115 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
8.115 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0
8.115 * [taylor]: Taking taylor expansion of 0 in K
8.116 * [backup-simplify]: Simplify 0 into 0
8.116 * [backup-simplify]: Simplify 0 into 0
8.116 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
8.116 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
8.116 * [backup-simplify]: Simplify 0 into 0
8.116 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
8.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.117 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
8.118 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
8.118 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
8.118 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
8.119 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
8.119 * [backup-simplify]: Simplify (- 0) into 0
8.119 * [backup-simplify]: Simplify (+ 0 0) into 0
8.119 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
8.120 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
8.120 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
8.121 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
8.121 * [taylor]: Taking taylor expansion of 0 in J
8.121 * [backup-simplify]: Simplify 0 into 0
8.121 * [taylor]: Taking taylor expansion of 0 in K
8.121 * [backup-simplify]: Simplify 0 into 0
8.121 * [backup-simplify]: Simplify 0 into 0
8.121 * [taylor]: Taking taylor expansion of 0 in K
8.121 * [backup-simplify]: Simplify 0 into 0
8.121 * [backup-simplify]: Simplify 0 into 0
8.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.123 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
8.124 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
8.124 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
8.125 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
8.125 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
8.125 * [backup-simplify]: Simplify (- 0) into 0
8.126 * [backup-simplify]: Simplify (+ 0 0) into 0
8.126 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
8.127 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
8.128 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0
8.128 * [taylor]: Taking taylor expansion of 0 in K
8.128 * [backup-simplify]: Simplify 0 into 0
8.128 * [backup-simplify]: Simplify 0 into 0
8.128 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)) (pow (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U))))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
8.128 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 2)
8.128 * [backup-simplify]: Simplify (* (* J 2) (cos (/ K 2))) into (* 2 (* (cos (* 1/2 K)) J))
8.128 * [approximate]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in (J K) around 0
8.128 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K
8.128 * [taylor]: Taking taylor expansion of 2 in K
8.128 * [backup-simplify]: Simplify 2 into 2
8.128 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
8.129 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
8.129 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
8.129 * [taylor]: Taking taylor expansion of 1/2 in K
8.129 * [backup-simplify]: Simplify 1/2 into 1/2
8.129 * [taylor]: Taking taylor expansion of K in K
8.129 * [backup-simplify]: Simplify 0 into 0
8.129 * [backup-simplify]: Simplify 1 into 1
8.129 * [backup-simplify]: Simplify (* 1/2 0) into 0
8.130 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
8.130 * [taylor]: Taking taylor expansion of J in K
8.130 * [backup-simplify]: Simplify J into J
8.130 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J
8.130 * [taylor]: Taking taylor expansion of 2 in J
8.130 * [backup-simplify]: Simplify 2 into 2
8.130 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
8.130 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
8.130 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
8.130 * [taylor]: Taking taylor expansion of 1/2 in J
8.130 * [backup-simplify]: Simplify 1/2 into 1/2
8.130 * [taylor]: Taking taylor expansion of K in J
8.130 * [backup-simplify]: Simplify K into K
8.130 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
8.130 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
8.130 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
8.130 * [taylor]: Taking taylor expansion of J in J
8.130 * [backup-simplify]: Simplify 0 into 0
8.130 * [backup-simplify]: Simplify 1 into 1
8.130 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J
8.130 * [taylor]: Taking taylor expansion of 2 in J
8.130 * [backup-simplify]: Simplify 2 into 2
8.130 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
8.131 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
8.131 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
8.131 * [taylor]: Taking taylor expansion of 1/2 in J
8.131 * [backup-simplify]: Simplify 1/2 into 1/2
8.131 * [taylor]: Taking taylor expansion of K in J
8.131 * [backup-simplify]: Simplify K into K
8.131 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
8.131 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
8.131 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
8.131 * [taylor]: Taking taylor expansion of J in J
8.131 * [backup-simplify]: Simplify 0 into 0
8.131 * [backup-simplify]: Simplify 1 into 1
8.131 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
8.131 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
8.132 * [backup-simplify]: Simplify (- 0) into 0
8.132 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
8.132 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
8.132 * [backup-simplify]: Simplify (* 2 0) into 0
8.132 * [taylor]: Taking taylor expansion of 0 in K
8.132 * [backup-simplify]: Simplify 0 into 0
8.132 * [backup-simplify]: Simplify 0 into 0
8.133 * [backup-simplify]: Simplify (+ 0) into 0
8.133 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
8.134 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
8.134 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
8.135 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
8.135 * [backup-simplify]: Simplify (- 0) into 0
8.135 * [backup-simplify]: Simplify (+ 0 0) into 0
8.136 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
8.136 * [backup-simplify]: Simplify (+ (* 2 (cos (* 1/2 K))) (* 0 0)) into (* 2 (cos (* 1/2 K)))
8.136 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K
8.136 * [taylor]: Taking taylor expansion of 2 in K
8.136 * [backup-simplify]: Simplify 2 into 2
8.136 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
8.136 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
8.137 * [taylor]: Taking taylor expansion of 1/2 in K
8.137 * [backup-simplify]: Simplify 1/2 into 1/2
8.137 * [taylor]: Taking taylor expansion of K in K
8.137 * [backup-simplify]: Simplify 0 into 0
8.137 * [backup-simplify]: Simplify 1 into 1
8.137 * [backup-simplify]: Simplify (* 1/2 0) into 0
8.138 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
8.138 * [backup-simplify]: Simplify (* 2 1) into 2
8.138 * [backup-simplify]: Simplify 2 into 2
8.138 * [backup-simplify]: Simplify 0 into 0
8.139 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
8.140 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
8.141 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
8.141 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
8.142 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
8.142 * [backup-simplify]: Simplify (- 0) into 0
8.143 * [backup-simplify]: Simplify (+ 0 0) into 0
8.144 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
8.144 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0
8.144 * [taylor]: Taking taylor expansion of 0 in K
8.144 * [backup-simplify]: Simplify 0 into 0
8.145 * [backup-simplify]: Simplify 0 into 0
8.145 * [backup-simplify]: Simplify (+ 0) into 0
8.146 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
8.146 * [backup-simplify]: Simplify 0 into 0
8.146 * [backup-simplify]: Simplify 0 into 0
8.147 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
8.147 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.149 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
8.150 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
8.151 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
8.152 * [backup-simplify]: Simplify (- 0) into 0
8.152 * [backup-simplify]: Simplify (+ 0 0) into 0
8.153 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
8.154 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0)))) into 0
8.154 * [taylor]: Taking taylor expansion of 0 in K
8.154 * [backup-simplify]: Simplify 0 into 0
8.155 * [backup-simplify]: Simplify 0 into 0
8.155 * [backup-simplify]: Simplify 0 into 0
8.155 * [backup-simplify]: Simplify (* 2 (* 1 J)) into (* 2 J)
8.155 * [backup-simplify]: Simplify (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))) into (* 2 (/ (cos (/ 1/2 K)) J))
8.155 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in (J K) around 0
8.155 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K
8.155 * [taylor]: Taking taylor expansion of 2 in K
8.155 * [backup-simplify]: Simplify 2 into 2
8.155 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
8.155 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
8.155 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
8.155 * [taylor]: Taking taylor expansion of 1/2 in K
8.155 * [backup-simplify]: Simplify 1/2 into 1/2
8.155 * [taylor]: Taking taylor expansion of K in K
8.155 * [backup-simplify]: Simplify 0 into 0
8.155 * [backup-simplify]: Simplify 1 into 1
8.156 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.156 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
8.156 * [taylor]: Taking taylor expansion of J in K
8.156 * [backup-simplify]: Simplify J into J
8.156 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
8.156 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J
8.156 * [taylor]: Taking taylor expansion of 2 in J
8.156 * [backup-simplify]: Simplify 2 into 2
8.156 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
8.156 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
8.156 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
8.156 * [taylor]: Taking taylor expansion of 1/2 in J
8.156 * [backup-simplify]: Simplify 1/2 into 1/2
8.156 * [taylor]: Taking taylor expansion of K in J
8.156 * [backup-simplify]: Simplify K into K
8.156 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
8.156 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
8.157 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
8.157 * [taylor]: Taking taylor expansion of J in J
8.157 * [backup-simplify]: Simplify 0 into 0
8.157 * [backup-simplify]: Simplify 1 into 1
8.157 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
8.157 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
8.158 * [backup-simplify]: Simplify (- 0) into 0
8.158 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
8.158 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
8.158 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J
8.158 * [taylor]: Taking taylor expansion of 2 in J
8.158 * [backup-simplify]: Simplify 2 into 2
8.158 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
8.158 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
8.158 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
8.158 * [taylor]: Taking taylor expansion of 1/2 in J
8.158 * [backup-simplify]: Simplify 1/2 into 1/2
8.158 * [taylor]: Taking taylor expansion of K in J
8.158 * [backup-simplify]: Simplify K into K
8.158 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
8.158 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
8.158 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
8.159 * [taylor]: Taking taylor expansion of J in J
8.159 * [backup-simplify]: Simplify 0 into 0
8.159 * [backup-simplify]: Simplify 1 into 1
8.159 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
8.159 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
8.164 * [backup-simplify]: Simplify (- 0) into 0
8.165 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
8.165 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
8.165 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
8.165 * [taylor]: Taking taylor expansion of (* 2 (cos (/ 1/2 K))) in K
8.165 * [taylor]: Taking taylor expansion of 2 in K
8.165 * [backup-simplify]: Simplify 2 into 2
8.165 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
8.165 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
8.165 * [taylor]: Taking taylor expansion of 1/2 in K
8.165 * [backup-simplify]: Simplify 1/2 into 1/2
8.165 * [taylor]: Taking taylor expansion of K in K
8.165 * [backup-simplify]: Simplify 0 into 0
8.165 * [backup-simplify]: Simplify 1 into 1
8.166 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.166 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
8.166 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
8.166 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K)))
8.167 * [backup-simplify]: Simplify (+ 0) into 0
8.167 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
8.167 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
8.168 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
8.169 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
8.169 * [backup-simplify]: Simplify (- 0) into 0
8.170 * [backup-simplify]: Simplify (+ 0 0) into 0
8.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
8.171 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0
8.171 * [taylor]: Taking taylor expansion of 0 in K
8.171 * [backup-simplify]: Simplify 0 into 0
8.171 * [backup-simplify]: Simplify 0 into 0
8.172 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0
8.172 * [backup-simplify]: Simplify 0 into 0
8.173 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
8.173 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
8.173 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
8.174 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
8.175 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
8.175 * [backup-simplify]: Simplify (- 0) into 0
8.176 * [backup-simplify]: Simplify (+ 0 0) into 0
8.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.178 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
8.178 * [taylor]: Taking taylor expansion of 0 in K
8.178 * [backup-simplify]: Simplify 0 into 0
8.178 * [backup-simplify]: Simplify 0 into 0
8.178 * [backup-simplify]: Simplify 0 into 0
8.179 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
8.179 * [backup-simplify]: Simplify 0 into 0
8.180 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
8.181 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.181 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
8.183 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
8.184 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
8.184 * [backup-simplify]: Simplify (- 0) into 0
8.184 * [backup-simplify]: Simplify (+ 0 0) into 0
8.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.188 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
8.188 * [taylor]: Taking taylor expansion of 0 in K
8.188 * [backup-simplify]: Simplify 0 into 0
8.188 * [backup-simplify]: Simplify 0 into 0
8.188 * [backup-simplify]: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* 2 (* (cos (* 1/2 K)) J))
8.188 * [backup-simplify]: Simplify (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))) into (* -2 (/ (cos (/ -1/2 K)) J))
8.188 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in (J K) around 0
8.188 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K
8.188 * [taylor]: Taking taylor expansion of -2 in K
8.188 * [backup-simplify]: Simplify -2 into -2
8.188 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
8.188 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
8.188 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
8.188 * [taylor]: Taking taylor expansion of -1/2 in K
8.188 * [backup-simplify]: Simplify -1/2 into -1/2
8.189 * [taylor]: Taking taylor expansion of K in K
8.189 * [backup-simplify]: Simplify 0 into 0
8.189 * [backup-simplify]: Simplify 1 into 1
8.189 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
8.189 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
8.189 * [taylor]: Taking taylor expansion of J in K
8.189 * [backup-simplify]: Simplify J into J
8.189 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
8.189 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J
8.189 * [taylor]: Taking taylor expansion of -2 in J
8.189 * [backup-simplify]: Simplify -2 into -2
8.189 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
8.190 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
8.190 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
8.190 * [taylor]: Taking taylor expansion of -1/2 in J
8.190 * [backup-simplify]: Simplify -1/2 into -1/2
8.190 * [taylor]: Taking taylor expansion of K in J
8.190 * [backup-simplify]: Simplify K into K
8.190 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
8.190 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
8.190 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
8.190 * [taylor]: Taking taylor expansion of J in J
8.190 * [backup-simplify]: Simplify 0 into 0
8.190 * [backup-simplify]: Simplify 1 into 1
8.190 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
8.190 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
8.191 * [backup-simplify]: Simplify (- 0) into 0
8.191 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
8.191 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
8.191 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J
8.191 * [taylor]: Taking taylor expansion of -2 in J
8.191 * [backup-simplify]: Simplify -2 into -2
8.191 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
8.191 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
8.191 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
8.191 * [taylor]: Taking taylor expansion of -1/2 in J
8.191 * [backup-simplify]: Simplify -1/2 into -1/2
8.191 * [taylor]: Taking taylor expansion of K in J
8.191 * [backup-simplify]: Simplify K into K
8.191 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
8.191 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
8.191 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
8.191 * [taylor]: Taking taylor expansion of J in J
8.191 * [backup-simplify]: Simplify 0 into 0
8.191 * [backup-simplify]: Simplify 1 into 1
8.192 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
8.192 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
8.192 * [backup-simplify]: Simplify (- 0) into 0
8.192 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
8.192 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
8.192 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
8.193 * [taylor]: Taking taylor expansion of (* -2 (cos (/ -1/2 K))) in K
8.193 * [taylor]: Taking taylor expansion of -2 in K
8.193 * [backup-simplify]: Simplify -2 into -2
8.193 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
8.193 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
8.193 * [taylor]: Taking taylor expansion of -1/2 in K
8.193 * [backup-simplify]: Simplify -1/2 into -1/2
8.193 * [taylor]: Taking taylor expansion of K in K
8.193 * [backup-simplify]: Simplify 0 into 0
8.193 * [backup-simplify]: Simplify 1 into 1
8.193 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
8.193 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
8.193 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
8.194 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K)))
8.194 * [backup-simplify]: Simplify (+ 0) into 0
8.195 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
8.195 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
8.196 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
8.196 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
8.196 * [backup-simplify]: Simplify (- 0) into 0
8.197 * [backup-simplify]: Simplify (+ 0 0) into 0
8.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
8.198 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0
8.198 * [taylor]: Taking taylor expansion of 0 in K
8.198 * [backup-simplify]: Simplify 0 into 0
8.198 * [backup-simplify]: Simplify 0 into 0
8.199 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0
8.199 * [backup-simplify]: Simplify 0 into 0
8.200 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
8.201 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
8.201 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
8.202 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
8.202 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
8.203 * [backup-simplify]: Simplify (- 0) into 0
8.203 * [backup-simplify]: Simplify (+ 0 0) into 0
8.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.206 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
8.206 * [taylor]: Taking taylor expansion of 0 in K
8.206 * [backup-simplify]: Simplify 0 into 0
8.206 * [backup-simplify]: Simplify 0 into 0
8.206 * [backup-simplify]: Simplify 0 into 0
8.207 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
8.207 * [backup-simplify]: Simplify 0 into 0
8.208 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
8.209 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.210 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
8.211 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
8.212 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
8.212 * [backup-simplify]: Simplify (- 0) into 0
8.213 * [backup-simplify]: Simplify (+ 0 0) into 0
8.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.216 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
8.216 * [taylor]: Taking taylor expansion of 0 in K
8.216 * [backup-simplify]: Simplify 0 into 0
8.216 * [backup-simplify]: Simplify 0 into 0
8.216 * [backup-simplify]: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* 2 (* (cos (* 1/2 K)) J))
8.217 * * * [progress]: simplifying candidates
8.217 * * * * [progress]: [ 1 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1) 1/2) (* (cos (/ K 2)) (* -2 J))))>
8.217 * * * * [progress]: [ 2 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (pow (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) 1) (* (cos (/ K 2)) (* -2 J))))>
8.217 * * * * [progress]: [ 3 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (exp (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)))) (* (cos (/ K 2)) (* -2 J))))>
8.217 * * * * [progress]: [ 4 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (log (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)))) (* (cos (/ K 2)) (* -2 J))))>
8.217 * * * * [progress]: [ 5 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)))) (* (cos (/ K 2)) (* -2 J))))>
8.217 * * * * [progress]: [ 6 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)))) (* (cos (/ K 2)) (* -2 J))))>
8.217 * * * * [progress]: [ 7 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)))) (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)))) (* (cos (/ K 2)) (* -2 J))))>
8.217 * * * * [progress]: [ 8 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)))) (* (cos (/ K 2)) (* -2 J))))>
8.217 * * * * [progress]: [ 9 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt 1) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (* (cos (/ K 2)) (* -2 J))))>
8.217 * * * * [progress]: [ 10 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (/ (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))))) (* (cos (/ K 2)) (* -2 J))))>
8.218 * * * * [progress]: [ 11 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (/ (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J))))) (* 1 1))) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (* (cos (/ K 2)) (* -2 J))))>
8.218 * * * * [progress]: [ 12 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1) (/ 1 2)) (* (cos (/ K 2)) (* -2 J))))>
8.218 * * * * [progress]: [ 13 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)))) (* (cos (/ K 2)) (* -2 J))))>
8.218 * * * * [progress]: [ 14 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (fabs (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (* (cos (/ K 2)) (* -2 J))))>
8.218 * * * * [progress]: [ 15 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (* 1 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (* (cos (/ K 2)) (* -2 J))))>
8.218 * * * * [progress]: [ 16 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (posit16->real (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)))) (* (cos (/ K 2)) (* -2 J))))>
8.218 * * * * [progress]: [ 17 / 134 ] simplifiying candidate #<alt (λ (J K U) (pow (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))) 1))>
8.218 * * * * [progress]: [ 18 / 134 ] simplifiying candidate #<alt (λ (J K U) (pow (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))) 1))>
8.218 * * * * [progress]: [ 19 / 134 ] simplifiying candidate #<alt (λ (J K U) (pow (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))) 1))>
8.218 * * * * [progress]: [ 20 / 134 ] simplifiying candidate #<alt (λ (J K U) (pow (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))) 1))>
8.218 * * * * [progress]: [ 21 / 134 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (+ (log (cos (/ K 2))) (+ (log -2) (log J))))))>
8.218 * * * * [progress]: [ 22 / 134 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (+ (log (cos (/ K 2))) (log (* -2 J))))))>
8.218 * * * * [progress]: [ 23 / 134 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (log (* (cos (/ K 2)) (* -2 J))))))>
8.219 * * * * [progress]: [ 24 / 134 ] simplifiying candidate #<alt (λ (J K U) (exp (log (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
8.219 * * * * [progress]: [ 25 / 134 ] simplifiying candidate #<alt (λ (J K U) (log (exp (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
8.219 * * * * [progress]: [ 26 / 134 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J))))))>
8.219 * * * * [progress]: [ 27 / 134 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J))))))>
8.219 * * * * [progress]: [ 28 / 134 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J))))))>
8.219 * * * * [progress]: [ 29 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
8.219 * * * * [progress]: [ 30 / 134 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J)))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
8.219 * * * * [progress]: [ 31 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J)))) (sqrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
8.219 * * * * [progress]: [ 32 / 134 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J)))))>
8.219 * * * * [progress]: [ 33 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (cos (/ K 2))) (* -2 J)))>
8.219 * * * * [progress]: [ 34 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)))) (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
8.220 * * * * [progress]: [ 35 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)))) (* (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
8.220 * * * * [progress]: [ 36 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
8.220 * * * * [progress]: [ 37 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt 1) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J)))))>
8.220 * * * * [progress]: [ 38 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
8.220 * * * * [progress]: [ 39 / 134 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J)))))>
8.220 * * * * [progress]: [ 40 / 134 ] simplifiying candidate #<alt (λ (J K U) (/ (* (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 3) (pow 1 3))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))))))>
8.220 * * * * [progress]: [ 41 / 134 ] simplifiying candidate #<alt (λ (J K U) (/ (* (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J))))) (* 1 1))) (* (cos (/ K 2)) (* -2 J))) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))))>
8.220 * * * * [progress]: [ 42 / 134 ] simplifiying candidate #<alt (λ (J K U) (posit16->real (real->posit16 (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
8.220 * * * * [progress]: [ 43 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (* (cos (/ K 2)) (* -2 J)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))))>
8.220 * * * * [progress]: [ 44 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.220 * * * * [progress]: [ 45 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.220 * * * * [progress]: [ 46 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))) (- (log U) (+ (log 2) (+ (log (cos (* 1/2 K))) (log J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.220 * * * * [progress]: [ 47 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))) (- (log U) (+ (log 2) (log (* (cos (* 1/2 K)) J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.221 * * * * [progress]: [ 48 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))) (- (log U) (log (* 2 (* (cos (* 1/2 K)) J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.221 * * * * [progress]: [ 49 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))) (log (/ U (* 2 (* (cos (* 1/2 K)) J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.221 * * * * [progress]: [ 50 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))) (- (log U) (+ (log 2) (+ (log (cos (* 1/2 K))) (log J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.221 * * * * [progress]: [ 51 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))) (- (log U) (+ (log 2) (log (* (cos (* 1/2 K)) J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.221 * * * * [progress]: [ 52 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))) (- (log U) (log (* 2 (* (cos (* 1/2 K)) J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.221 * * * * [progress]: [ 53 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))) (log (/ U (* 2 (* (cos (* 1/2 K)) J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.221 * * * * [progress]: [ 54 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (+ (log 2) (+ (log (cos (* 1/2 K))) (log J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.221 * * * * [progress]: [ 55 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (+ (log 2) (log (* (cos (* 1/2 K)) J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.221 * * * * [progress]: [ 56 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* 2 (* (cos (* 1/2 K)) J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.221 * * * * [progress]: [ 57 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (log (/ U (* 2 (* (cos (* 1/2 K)) J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.221 * * * * [progress]: [ 58 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (log (/ U (* (* J 2) (cos (/ K 2))))) (- (log U) (+ (log 2) (+ (log (cos (* 1/2 K))) (log J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.221 * * * * [progress]: [ 59 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (log (/ U (* (* J 2) (cos (/ K 2))))) (- (log U) (+ (log 2) (log (* (cos (* 1/2 K)) J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.221 * * * * [progress]: [ 60 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (log (/ U (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* 2 (* (cos (* 1/2 K)) J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.222 * * * * [progress]: [ 61 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (+ (log (/ U (* (* J 2) (cos (/ K 2))))) (log (/ U (* 2 (* (cos (* 1/2 K)) J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.222 * * * * [progress]: [ 62 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (exp (log (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.222 * * * * [progress]: [ 63 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (log (exp (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.222 * * * * [progress]: [ 64 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (* 1/2 K)) (cos (* 1/2 K))) (cos (* 1/2 K))) (* (* J J) J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.222 * * * * [progress]: [ 65 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (* 1/2 K)) J) (* (cos (* 1/2 K)) J)) (* (cos (* 1/2 K)) J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.222 * * * * [progress]: [ 66 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* 2 (* (cos (* 1/2 K)) J)) (* 2 (* (cos (* 1/2 K)) J))) (* 2 (* (cos (* 1/2 K)) J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.222 * * * * [progress]: [ 67 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (* (* (/ U (* 2 (* (cos (* 1/2 K)) J))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.222 * * * * [progress]: [ 68 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (* 1/2 K)) (cos (* 1/2 K))) (cos (* 1/2 K))) (* (* J J) J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.222 * * * * [progress]: [ 69 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (* 1/2 K)) J) (* (cos (* 1/2 K)) J)) (* (cos (* 1/2 K)) J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.222 * * * * [progress]: [ 70 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* 2 (* (cos (* 1/2 K)) J)) (* 2 (* (cos (* 1/2 K)) J))) (* 2 (* (cos (* 1/2 K)) J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.223 * * * * [progress]: [ 71 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (* (* (/ U (* 2 (* (cos (* 1/2 K)) J))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.223 * * * * [progress]: [ 72 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (* 1/2 K)) (cos (* 1/2 K))) (cos (* 1/2 K))) (* (* J J) J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.223 * * * * [progress]: [ 73 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (* 1/2 K)) J) (* (cos (* 1/2 K)) J)) (* (cos (* 1/2 K)) J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.223 * * * * [progress]: [ 74 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* 2 (* (cos (* 1/2 K)) J)) (* 2 (* (cos (* 1/2 K)) J))) (* 2 (* (cos (* 1/2 K)) J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.223 * * * * [progress]: [ 75 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))) (* (* (/ U (* 2 (* (cos (* 1/2 K)) J))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.223 * * * * [progress]: [ 76 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (* 1/2 K)) (cos (* 1/2 K))) (cos (* 1/2 K))) (* (* J J) J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.223 * * * * [progress]: [ 77 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (* 1/2 K)) J) (* (cos (* 1/2 K)) J)) (* (cos (* 1/2 K)) J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.223 * * * * [progress]: [ 78 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* 2 (* (cos (* 1/2 K)) J)) (* 2 (* (cos (* 1/2 K)) J))) (* 2 (* (cos (* 1/2 K)) J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.223 * * * * [progress]: [ 79 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))) (* (* (/ U (* 2 (* (cos (* 1/2 K)) J))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.223 * * * * [progress]: [ 80 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (cbrt (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J))))) (cbrt (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))))) (cbrt (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.223 * * * * [progress]: [ 81 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (cbrt (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.224 * * * * [progress]: [ 82 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (sqrt (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J))))) (sqrt (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.224 * * * * [progress]: [ 83 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (/ (* U U) (* (* (* J 2) (cos (/ K 2))) (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.224 * * * * [progress]: [ 84 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.224 * * * * [progress]: [ 85 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (sqrt (/ U (* 2 (* (cos (* 1/2 K)) J))))) (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (sqrt (/ U (* 2 (* (cos (* 1/2 K)) J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.224 * * * * [progress]: [ 86 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (* (cbrt (/ U (* 2 (* (cos (* 1/2 K)) J)))) (cbrt (/ U (* 2 (* (cos (* 1/2 K)) J)))))) (cbrt (/ U (* 2 (* (cos (* 1/2 K)) J))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.224 * * * * [progress]: [ 87 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (sqrt (/ U (* 2 (* (cos (* 1/2 K)) J))))) (sqrt (/ U (* 2 (* (cos (* 1/2 K)) J))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.224 * * * * [progress]: [ 88 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ (* (cbrt U) (cbrt U)) 2)) (/ (cbrt U) (* (cos (* 1/2 K)) J))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.224 * * * * [progress]: [ 89 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ (sqrt U) 2)) (/ (sqrt U) (* (cos (* 1/2 K)) J))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.224 * * * * [progress]: [ 90 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ 1 2)) (/ U (* (cos (* 1/2 K)) J))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.224 * * * * [progress]: [ 91 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) 1) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.224 * * * * [progress]: [ 92 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) U) (/ 1 (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.224 * * * * [progress]: [ 93 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (* (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (cbrt (/ U (* (* J 2) (cos (/ K 2)))))) (* (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* 2 (* (cos (* 1/2 K)) J))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.224 * * * * [progress]: [ 94 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* 2 (* (cos (* 1/2 K)) J))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.225 * * * * [progress]: [ 95 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ (* (cbrt U) (cbrt U)) (* J 2)) (* (/ (cbrt U) (cos (/ K 2))) (/ U (* 2 (* (cos (* 1/2 K)) J))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.225 * * * * [progress]: [ 96 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ (sqrt U) (* J 2)) (* (/ (sqrt U) (cos (/ K 2))) (/ U (* 2 (* (cos (* 1/2 K)) J))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.225 * * * * [progress]: [ 97 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ 1 (* J 2)) (* (/ U (cos (/ K 2))) (/ U (* 2 (* (cos (* 1/2 K)) J))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.225 * * * * [progress]: [ 98 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.225 * * * * [progress]: [ 99 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* U (* (/ 1 (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.225 * * * * [progress]: [ 100 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (/ (* (/ U (* (* J 2) (cos (/ K 2)))) U) (* 2 (* (cos (* 1/2 K)) J))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.225 * * * * [progress]: [ 101 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (/ (* U (/ U (* 2 (* (cos (* 1/2 K)) J)))) (* (* J 2) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.225 * * * * [progress]: [ 102 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (posit16->real (real->posit16 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.225 * * * * [progress]: [ 103 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* 2 (* (cos (* 1/2 K)) J))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.225 * * * * [progress]: [ 104 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (pow (* (* J 2) (cos (/ K 2))) 1)) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.225 * * * * [progress]: [ 105 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (pow (* (* J 2) (cos (/ K 2))) 1)) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.225 * * * * [progress]: [ 106 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (pow (* (* J 2) (cos (/ K 2))) 1)) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.225 * * * * [progress]: [ 107 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (exp (+ (+ (log J) (log 2)) (log (cos (/ K 2)))))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.225 * * * * [progress]: [ 108 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (exp (+ (log (* J 2)) (log (cos (/ K 2)))))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.226 * * * * [progress]: [ 109 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (exp (log (* (* J 2) (cos (/ K 2)))))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.226 * * * * [progress]: [ 110 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (log (exp (* (* J 2) (cos (/ K 2)))))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.226 * * * * [progress]: [ 111 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (cbrt (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.226 * * * * [progress]: [ 112 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (cbrt (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.226 * * * * [progress]: [ 113 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* (cbrt (* (* J 2) (cos (/ K 2)))) (cbrt (* (* J 2) (cos (/ K 2))))) (cbrt (* (* J 2) (cos (/ K 2)))))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.226 * * * * [progress]: [ 114 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (cbrt (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2)))))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.226 * * * * [progress]: [ 115 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (sqrt (* (* J 2) (cos (/ K 2)))) (sqrt (* (* J 2) (cos (/ K 2)))))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.226 * * * * [progress]: [ 116 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* 1 (* (* J 2) (cos (/ K 2))))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.226 * * * * [progress]: [ 117 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* (* J 2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2))))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.226 * * * * [progress]: [ 118 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* (* J 2) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2))))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.226 * * * * [progress]: [ 119 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* (* J 2) 1) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.226 * * * * [progress]: [ 120 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* J (* 2 (cos (/ K 2))))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.227 * * * * [progress]: [ 121 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (posit16->real (real->posit16 (* (* J 2) (cos (/ K 2)))))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.227 * * * * [progress]: [ 122 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.227 * * * * [progress]: [ 123 / 134 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* (cos (/ K 2)) (* -2 J))))>
8.227 * * * * [progress]: [ 124 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* (cos (/ K 2)) (* -2 J))))>
8.227 * * * * [progress]: [ 125 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* (cos (/ K 2)) (* -2 J))))>
8.227 * * * * [progress]: [ 126 / 134 ] simplifiying candidate #<alt (λ (J K U) (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))))>
8.227 * * * * [progress]: [ 127 / 134 ] simplifiying candidate #<alt (λ (J K U) (* -1 U))>
8.227 * * * * [progress]: [ 128 / 134 ] simplifiying candidate #<alt (λ (J K U) (* -1 U))>
8.227 * * * * [progress]: [ 129 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.227 * * * * [progress]: [ 130 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.227 * * * * [progress]: [ 131 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.227 * * * * [progress]: [ 132 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* 2 J)) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.227 * * * * [progress]: [ 133 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* 2 (* (cos (* 1/2 K)) J))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.227 * * * * [progress]: [ 134 / 134 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* 2 (* (cos (* 1/2 K)) J))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))>
8.230 * [simplify]: Simplifying:
  (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)))
  (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)))
  (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))))
  (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)))
  (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)))
  (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))))
  (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))
  (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 3) (pow 1 3)))
  (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))))
  (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J))))) (* 1 1)))
  (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))
  (/ 1 2)
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)))
  (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)))
  (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J)))
  (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J)))
  (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J)))
  (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (+ (log (cos (/ K 2))) (+ (log -2) (log J))))
  (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (+ (log (cos (/ K 2))) (log (* -2 J))))
  (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (log (* (cos (/ K 2)) (* -2 J))))
  (log (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))
  (exp (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))
  (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J))))
  (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J))))
  (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J))))
  (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J)))))
  (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))
  (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J)))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))
  (sqrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))
  (sqrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))
  (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (cos (/ K 2)))
  (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (* (cos (/ K 2)) (* -2 J)))
  (* (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (* (cos (/ K 2)) (* -2 J)))
  (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (* (cos (/ K 2)) (* -2 J)))
  (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J)))
  (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))) (* (cos (/ K 2)) (* -2 J)))
  (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J)))
  (* (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 3) (pow 1 3))) (* (cos (/ K 2)) (* -2 J)))
  (* (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J))))) (* 1 1))) (* (cos (/ K 2)) (* -2 J)))
  (real->posit16 (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))
  (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J))))
  (+ (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))) (- (log U) (+ (log 2) (+ (log (cos (* 1/2 K))) (log J)))))
  (+ (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))) (- (log U) (+ (log 2) (log (* (cos (* 1/2 K)) J)))))
  (+ (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))) (- (log U) (log (* 2 (* (cos (* 1/2 K)) J)))))
  (+ (- (log U) (+ (+ (log J) (log 2)) (log (cos (/ K 2))))) (log (/ U (* 2 (* (cos (* 1/2 K)) J)))))
  (+ (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))) (- (log U) (+ (log 2) (+ (log (cos (* 1/2 K))) (log J)))))
  (+ (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))) (- (log U) (+ (log 2) (log (* (cos (* 1/2 K)) J)))))
  (+ (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))) (- (log U) (log (* 2 (* (cos (* 1/2 K)) J)))))
  (+ (- (log U) (+ (log (* J 2)) (log (cos (/ K 2))))) (log (/ U (* 2 (* (cos (* 1/2 K)) J)))))
  (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (+ (log 2) (+ (log (cos (* 1/2 K))) (log J)))))
  (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (+ (log 2) (log (* (cos (* 1/2 K)) J)))))
  (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* 2 (* (cos (* 1/2 K)) J)))))
  (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (log (/ U (* 2 (* (cos (* 1/2 K)) J)))))
  (+ (log (/ U (* (* J 2) (cos (/ K 2))))) (- (log U) (+ (log 2) (+ (log (cos (* 1/2 K))) (log J)))))
  (+ (log (/ U (* (* J 2) (cos (/ K 2))))) (- (log U) (+ (log 2) (log (* (cos (* 1/2 K)) J)))))
  (+ (log (/ U (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* 2 (* (cos (* 1/2 K)) J)))))
  (+ (log (/ U (* (* J 2) (cos (/ K 2))))) (log (/ U (* 2 (* (cos (* 1/2 K)) J)))))
  (log (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))))
  (exp (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))))
  (* (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (* 1/2 K)) (cos (* 1/2 K))) (cos (* 1/2 K))) (* (* J J) J)))))
  (* (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (* 1/2 K)) J) (* (cos (* 1/2 K)) J)) (* (cos (* 1/2 K)) J)))))
  (* (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* 2 (* (cos (* 1/2 K)) J)) (* 2 (* (cos (* 1/2 K)) J))) (* 2 (* (cos (* 1/2 K)) J)))))
  (* (/ (* (* U U) U) (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (* (* (/ U (* 2 (* (cos (* 1/2 K)) J))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))))
  (* (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (* 1/2 K)) (cos (* 1/2 K))) (cos (* 1/2 K))) (* (* J J) J)))))
  (* (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (* 1/2 K)) J) (* (cos (* 1/2 K)) J)) (* (cos (* 1/2 K)) J)))))
  (* (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* 2 (* (cos (* 1/2 K)) J)) (* 2 (* (cos (* 1/2 K)) J))) (* 2 (* (cos (* 1/2 K)) J)))))
  (* (/ (* (* U U) U) (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (* (* (/ U (* 2 (* (cos (* 1/2 K)) J))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))))
  (* (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (* 1/2 K)) (cos (* 1/2 K))) (cos (* 1/2 K))) (* (* J J) J)))))
  (* (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (* 1/2 K)) J) (* (cos (* 1/2 K)) J)) (* (cos (* 1/2 K)) J)))))
  (* (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* 2 (* (cos (* 1/2 K)) J)) (* 2 (* (cos (* 1/2 K)) J))) (* 2 (* (cos (* 1/2 K)) J)))))
  (* (/ (* (* U U) U) (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))) (* (* (/ U (* 2 (* (cos (* 1/2 K)) J))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))))
  (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (* 1/2 K)) (cos (* 1/2 K))) (cos (* 1/2 K))) (* (* J J) J)))))
  (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (* 1/2 K)) J) (* (cos (* 1/2 K)) J)) (* (cos (* 1/2 K)) J)))))
  (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* 2 (* (cos (* 1/2 K)) J)) (* 2 (* (cos (* 1/2 K)) J))) (* 2 (* (cos (* 1/2 K)) J)))))
  (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* (* J 2) (cos (/ K 2))))) (* (* (/ U (* 2 (* (cos (* 1/2 K)) J))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))))
  (* (cbrt (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J))))) (cbrt (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J))))))
  (cbrt (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))))
  (* (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))))
  (sqrt (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))))
  (sqrt (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))))
  (* U U)
  (* (* (* J 2) (cos (/ K 2))) (* 2 (* (cos (* 1/2 K)) J)))
  (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (sqrt (/ U (* 2 (* (cos (* 1/2 K)) J)))))
  (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (sqrt (/ U (* 2 (* (cos (* 1/2 K)) J)))))
  (* (/ U (* (* J 2) (cos (/ K 2)))) (* (cbrt (/ U (* 2 (* (cos (* 1/2 K)) J)))) (cbrt (/ U (* 2 (* (cos (* 1/2 K)) J))))))
  (* (/ U (* (* J 2) (cos (/ K 2)))) (sqrt (/ U (* 2 (* (cos (* 1/2 K)) J)))))
  (* (/ U (* (* J 2) (cos (/ K 2)))) (/ (* (cbrt U) (cbrt U)) 2))
  (* (/ U (* (* J 2) (cos (/ K 2)))) (/ (sqrt U) 2))
  (* (/ U (* (* J 2) (cos (/ K 2)))) (/ 1 2))
  (* (/ U (* (* J 2) (cos (/ K 2)))) 1)
  (* (/ U (* (* J 2) (cos (/ K 2)))) U)
  (* (cbrt (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* 2 (* (cos (* 1/2 K)) J))))
  (* (sqrt (/ U (* (* J 2) (cos (/ K 2))))) (/ U (* 2 (* (cos (* 1/2 K)) J))))
  (* (/ (cbrt U) (cos (/ K 2))) (/ U (* 2 (* (cos (* 1/2 K)) J))))
  (* (/ (sqrt U) (cos (/ K 2))) (/ U (* 2 (* (cos (* 1/2 K)) J))))
  (* (/ U (cos (/ K 2))) (/ U (* 2 (* (cos (* 1/2 K)) J))))
  (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J))))
  (* (/ 1 (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J))))
  (* (/ U (* (* J 2) (cos (/ K 2)))) U)
  (* U (/ U (* 2 (* (cos (* 1/2 K)) J))))
  (real->posit16 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))))
  (* (* J 2) (cos (/ K 2)))
  (* (* J 2) (cos (/ K 2)))
  (+ (+ (log J) (log 2)) (log (cos (/ K 2))))
  (+ (log (* J 2)) (log (cos (/ K 2))))
  (log (* (* J 2) (cos (/ K 2))))
  (exp (* (* J 2) (cos (/ K 2))))
  (* (* (* (* J J) J) (* (* 2 2) 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
  (* (* (* (* J 2) (* J 2)) (* J 2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
  (* (cbrt (* (* J 2) (cos (/ K 2)))) (cbrt (* (* J 2) (cos (/ K 2)))))
  (cbrt (* (* J 2) (cos (/ K 2))))
  (* (* (* (* J 2) (cos (/ K 2))) (* (* J 2) (cos (/ K 2)))) (* (* J 2) (cos (/ K 2))))
  (sqrt (* (* J 2) (cos (/ K 2))))
  (sqrt (* (* J 2) (cos (/ K 2))))
  (* (* J 2) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
  (* (* J 2) (sqrt (cos (/ K 2))))
  (* (* J 2) 1)
  (* 2 (cos (/ K 2)))
  (real->posit16 (* (* J 2) (cos (/ K 2))))
  1
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J))))
  (* -1 U)
  (* -1 U)
  (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
  (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
  (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
  (* 2 J)
  (* 2 (* (cos (* 1/2 K)) J))
  (* 2 (* (cos (* 1/2 K)) J))
8.238 * * [simplify]: iteration 1: (249 enodes)
8.343 * * [simplify]: iteration 2: (721 enodes)
8.975 * * [simplify]: Extracting #0: cost 84 inf + 0
8.979 * * [simplify]: Extracting #1: cost 866 inf + 2
8.988 * * [simplify]: Extracting #2: cost 1370 inf + 2358
9.003 * * [simplify]: Extracting #3: cost 1236 inf + 22643
9.018 * * [simplify]: Extracting #4: cost 1119 inf + 43569
9.053 * * [simplify]: Extracting #5: cost 597 inf + 242058
9.162 * * [simplify]: Extracting #6: cost 159 inf + 444154
9.287 * * [simplify]: Extracting #7: cost 22 inf + 519017
9.443 * * [simplify]: Extracting #8: cost 0 inf + 534189
9.626 * * [simplify]: Extracting #9: cost 0 inf + 533927
9.852 * [simplify]: Simplified to:
  (log (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))))
  (exp (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))))
  (* (cbrt (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))))) (cbrt (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))))))
  (cbrt (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))))
  (* (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))) (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))))
  (fabs (cbrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))))
  (sqrt (cbrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))))
  (sqrt (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))))
  (sqrt (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))))
  1
  (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))))
  (sqrt (+ 1 (* (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)) (* (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)) (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))))))
  (sqrt (- (+ (* (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)) (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))) 1) (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))))
  (sqrt (- (* (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)) (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))) 1))
  (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)) -1))
  1/2
  (sqrt (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))))
  (sqrt (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))))
  (real->posit16 (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))))
  (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))))
  (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))))
  (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))))
  (log (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))))))
  (log (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))))))
  (log (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))))))
  (log (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))))))
  (exp (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))))))
  (* (* -8 (* J (* J J))) (* (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))) (* (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))
  (* (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (* J -2) (cos (/ K 2)))) (* (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))) (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))))))
  (* (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (* J -2) (cos (/ K 2)))) (* (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))) (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))))))
  (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))))))
  (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))))))
  (* (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (* J -2) (cos (/ K 2)))) (* (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))) (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))))))
  (sqrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))))))
  (sqrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))))))
  (* (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))) (cos (/ K 2)))
  (* (* (* J -2) (cos (/ K 2))) (cbrt (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))))))
  (* (sqrt (cbrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))))) (* (* J -2) (cos (/ K 2))))
  (* (* (* J -2) (cos (/ K 2))) (sqrt (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))))))
  (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))))
  (* (* (* J -2) (cos (/ K 2))) (sqrt (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))))))
  (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))))
  (* (sqrt (+ 1 (* (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)) (* (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)) (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))))) (* (* J -2) (cos (/ K 2))))
  (* (* (cos (/ K 2)) (sqrt (- (* (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)) (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))) 1))) (* J -2))
  (real->posit16 (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))))))
  (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))
  (log (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))
  (log (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))
  (log (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))
  (log (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))
  (log (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))
  (log (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))
  (log (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))
  (log (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))
  (log (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))
  (log (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))
  (log (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))
  (log (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))
  (log (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))
  (log (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))
  (log (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))
  (log (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))
  (log (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))
  (exp (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))
  (/ (/ (/ (* (* (* U U) U) (/ (* (* U U) U) 8)) (* (* (* (cos (* K 1/2)) (cos (* K 1/2))) (* (cos (* K 1/2)) (* J J))) J)) (* J (* J J))) (* (* 8 (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))))
  (/ (/ (* (* (* U U) U) (* (* U U) U)) (* (* (* (* (cos (* K 1/2)) J) (* (cos (* K 1/2)) J)) (* (cos (* K 1/2)) J)) 8)) (* (* J J) (* J (* (* 8 (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))))))
  (* (* (* (/ (* U U) (* J (* J J))) (/ U (* (* 8 (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))))) (/ U (* (* (cos (* K 1/2)) 2) J))) (* (/ U (* (* (cos (* K 1/2)) 2) J)) (/ U (* (* (cos (* K 1/2)) 2) J))))
  (* (* (* (/ (* U U) (* J (* J J))) (/ U (* (* 8 (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2)))))) (/ U (* (* (cos (* K 1/2)) 2) J))) (* (/ U (* (* (cos (* K 1/2)) 2) J)) (/ U (* (* (cos (* K 1/2)) 2) J))))
  (/ (/ (* (* (* U U) U) (/ (* (* U U) U) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (* (* 2 J) (* (* 2 J) (* 2 J))))))) 8) (* (* (cos (* K 1/2)) (* (* (cos (* K 1/2)) J) (* (cos (* K 1/2)) J))) J))
  (* (/ (/ (* (* U U) U) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (* (* 2 J) (* (* 2 J) (* 2 J)))))) 8) (/ (* (* U U) U) (* (* (* (cos (* K 1/2)) J) (* (cos (* K 1/2)) J)) (* (cos (* K 1/2)) J))))
  (* (* (/ U (* (* (cos (* K 1/2)) 2) J)) (* (/ U (* (* (cos (* K 1/2)) 2) J)) (/ U (* (* (cos (* K 1/2)) 2) J)))) (/ (* (* U U) U) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (* (* 2 J) (* (* 2 J) (* 2 J)))))))
  (* (* (/ U (* (* (cos (* K 1/2)) 2) J)) (* (/ U (* (* (cos (* K 1/2)) 2) J)) (/ U (* (* (cos (* K 1/2)) 2) J)))) (/ (* (* U U) U) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (* (* 2 J) (* (* 2 J) (* 2 J)))))))
  (/ (/ (/ (* (* (* U U) U) (* (* U U) U)) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J)))) 8) (* (* (cos (* K 1/2)) (* (* (cos (* K 1/2)) J) (* (cos (* K 1/2)) J))) J))
  (/ (/ (* (* (* U U) U) (* (* U U) U)) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J)))) (* (* (* (* (cos (* K 1/2)) J) (* (cos (* K 1/2)) J)) (* (cos (* K 1/2)) J)) 8))
  (* (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)) (* (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)) (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))))
  (* (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)) (* (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)) (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))))
  (/ (/ (/ (* (* (* U U) U) (* (* U U) U)) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J)))) 8) (* (* (cos (* K 1/2)) (* (* (cos (* K 1/2)) J) (* (cos (* K 1/2)) J))) J))
  (/ (/ (* (* (* U U) U) (* (* U U) U)) (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J)))) (* (* (* (* (cos (* K 1/2)) J) (* (cos (* K 1/2)) J)) (* (cos (* K 1/2)) J)) 8))
  (* (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)) (* (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)) (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))))
  (* (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)) (* (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)) (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))))
  (* (cbrt (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))) (cbrt (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))))
  (cbrt (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))
  (* (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)) (* (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)) (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))))
  (sqrt (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))
  (sqrt (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))
  (* U U)
  (* (* (* (cos (/ K 2)) (* 2 J)) 2) (* (cos (* K 1/2)) J))
  (* (sqrt (/ U (* (* (cos (* K 1/2)) 2) J))) (sqrt (/ (/ U (cos (/ K 2))) (* 2 J))))
  (* (sqrt (/ U (* (* (cos (* K 1/2)) 2) J))) (sqrt (/ (/ U (cos (/ K 2))) (* 2 J))))
  (* (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cbrt (/ U (* (* (cos (* K 1/2)) 2) J))) (cbrt (/ U (* (* (cos (* K 1/2)) 2) J)))))
  (* (/ (/ U (cos (/ K 2))) (* 2 J)) (sqrt (/ U (* (* (cos (* K 1/2)) 2) J))))
  (/ (* (/ U (* 2 J)) (/ (cbrt U) (/ 2 (cbrt U)))) (cos (/ K 2)))
  (/ (* (/ (sqrt U) 2) U) (* (cos (/ K 2)) (* 2 J)))
  (/ (/ (/ U (cos (/ K 2))) (* 2 J)) 2)
  (/ (/ U (cos (/ K 2))) (* 2 J))
  (* (/ U (cos (/ K 2))) (/ U (* 2 J)))
  (/ (* (cbrt (/ (/ U (cos (/ K 2))) (* 2 J))) (/ U 2)) (* (cos (* K 1/2)) J))
  (* (/ (sqrt (/ (/ U (cos (/ K 2))) (* 2 J))) 2) (/ U (* J (cos (* K 1/2)))))
  (/ (/ (* (cbrt U) U) (cos (/ K 2))) (* (* (cos (* K 1/2)) 2) J))
  (/ (/ (/ (* (sqrt U) U) (cos (/ K 2))) 2) (* (cos (* K 1/2)) J))
  (* (/ U (* (* (cos (* K 1/2)) 2) J)) (/ U (cos (/ K 2))))
  (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2))
  (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (* (cos (* K 1/2)) 2) J))
  (* (/ U (cos (/ K 2))) (/ U (* 2 J)))
  (/ (* (/ U 2) U) (* (cos (* K 1/2)) J))
  (real->posit16 (* (/ (/ (/ U (cos (/ K 2))) (* 2 J)) (* (cos (* K 1/2)) J)) (/ U 2)))
  (* (cos (/ K 2)) (* 2 J))
  (* (cos (/ K 2)) (* 2 J))
  (log (* (cos (/ K 2)) (* 2 J)))
  (log (* (cos (/ K 2)) (* 2 J)))
  (log (* (cos (/ K 2)) (* 2 J)))
  (exp (* (cos (/ K 2)) (* 2 J)))
  (* (* J J) (* J (* (* 8 (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2))))))
  (* (* (cos (/ K 2)) (cos (/ K 2))) (* (cos (/ K 2)) (* (* 2 J) (* (* 2 J) (* 2 J)))))
  (* (cbrt (* (cos (/ K 2)) (* 2 J))) (cbrt (* (cos (/ K 2)) (* 2 J))))
  (cbrt (* (cos (/ K 2)) (* 2 J)))
  (* (* (* (cos (/ K 2)) (* 2 J)) (* (cos (/ K 2)) (* 2 J))) (* (cos (/ K 2)) (* 2 J)))
  (sqrt (* (cos (/ K 2)) (* 2 J)))
  (sqrt (* (cos (/ K 2)) (* 2 J)))
  (* J (* (* 2 (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))
  (* (* 2 J) (sqrt (cos (/ K 2))))
  (* 2 J)
  (* (cos (/ K 2)) 2)
  (real->posit16 (* (cos (/ K 2)) (* 2 J)))
  1
  (* (/ 1/2 (cos (* K 1/2))) (/ U J))
  (* (/ 1/2 (cos (* K 1/2))) (/ U J))
  (- (+ (* 2 J) (* (/ (* U U) J) 1/4)))
  (- U)
  (- U)
  (+ (* (/ (* K K) (* (/ J U) (/ J U))) 1/16) (/ 1/4 (* (/ J U) (/ J U))))
  (* 1/4 (* (/ U (* (cos (* K 1/2)) J)) (/ U (* (cos (* K 1/2)) J))))
  (* 1/4 (* (/ U (* (cos (* K 1/2)) J)) (/ U (* (cos (* K 1/2)) J))))
  (* 2 J)
  (* (* (cos (* K 1/2)) 2) J)
  (* (* (cos (* K 1/2)) 2) J)
9.882 * * * [progress]: adding candidates to table
12.104 * * [progress]: iteration 3 / 4
12.104 * * * [progress]: picking best candidate
12.163 * * * * [pick]: Picked  #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
12.163 * * * [progress]: localizing error
12.220 * * * [progress]: generating rewritten candidates
12.220 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
12.394 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
12.559 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1)
12.751 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
12.941 * * * [progress]: generating series expansions
12.941 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
12.942 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
12.942 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0
12.942 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
12.943 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
12.943 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
12.943 * [taylor]: Taking taylor expansion of 1/4 in K
12.943 * [backup-simplify]: Simplify 1/4 into 1/4
12.943 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
12.943 * [taylor]: Taking taylor expansion of (pow U 2) in K
12.943 * [taylor]: Taking taylor expansion of U in K
12.943 * [backup-simplify]: Simplify U into U
12.943 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
12.943 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
12.943 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
12.943 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
12.943 * [taylor]: Taking taylor expansion of 1/2 in K
12.943 * [backup-simplify]: Simplify 1/2 into 1/2
12.943 * [taylor]: Taking taylor expansion of K in K
12.943 * [backup-simplify]: Simplify 0 into 0
12.943 * [backup-simplify]: Simplify 1 into 1
12.944 * [backup-simplify]: Simplify (* 1/2 0) into 0
12.945 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
12.945 * [taylor]: Taking taylor expansion of (pow J 2) in K
12.945 * [taylor]: Taking taylor expansion of J in K
12.945 * [backup-simplify]: Simplify J into J
12.945 * [backup-simplify]: Simplify (* U U) into (pow U 2)
12.945 * [backup-simplify]: Simplify (* 1 1) into 1
12.945 * [backup-simplify]: Simplify (* J J) into (pow J 2)
12.945 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
12.946 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
12.946 * [taylor]: Taking taylor expansion of 1 in K
12.946 * [backup-simplify]: Simplify 1 into 1
12.946 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
12.946 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
12.946 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
12.946 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
12.946 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
12.947 * [backup-simplify]: Simplify (+ 0) into 0
12.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
12.949 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
12.949 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
12.950 * [backup-simplify]: Simplify (+ 0 0) into 0
12.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
12.950 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
12.950 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
12.950 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
12.950 * [taylor]: Taking taylor expansion of 1/4 in J
12.950 * [backup-simplify]: Simplify 1/4 into 1/4
12.950 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
12.950 * [taylor]: Taking taylor expansion of (pow U 2) in J
12.950 * [taylor]: Taking taylor expansion of U in J
12.950 * [backup-simplify]: Simplify U into U
12.950 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
12.950 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
12.950 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
12.950 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
12.950 * [taylor]: Taking taylor expansion of 1/2 in J
12.950 * [backup-simplify]: Simplify 1/2 into 1/2
12.950 * [taylor]: Taking taylor expansion of K in J
12.950 * [backup-simplify]: Simplify K into K
12.950 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
12.950 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
12.950 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
12.951 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
12.951 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
12.951 * [backup-simplify]: Simplify (- 0) into 0
12.951 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
12.951 * [taylor]: Taking taylor expansion of (pow J 2) in J
12.951 * [taylor]: Taking taylor expansion of J in J
12.951 * [backup-simplify]: Simplify 0 into 0
12.951 * [backup-simplify]: Simplify 1 into 1
12.951 * [backup-simplify]: Simplify (* U U) into (pow U 2)
12.951 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
12.952 * [backup-simplify]: Simplify (* 1 1) into 1
12.952 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
12.952 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
12.952 * [taylor]: Taking taylor expansion of 1 in J
12.952 * [backup-simplify]: Simplify 1 into 1
12.952 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
12.953 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
12.953 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
12.953 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
12.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.954 * [backup-simplify]: Simplify (+ 0) into 0
12.955 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
12.955 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
12.956 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.956 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
12.956 * [backup-simplify]: Simplify (- 0) into 0
12.957 * [backup-simplify]: Simplify (+ 0 0) into 0
12.957 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
12.957 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
12.958 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
12.958 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
12.959 * [backup-simplify]: Simplify (+ 0 0) into 0
12.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
12.959 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
12.959 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
12.959 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
12.959 * [taylor]: Taking taylor expansion of 1/4 in U
12.959 * [backup-simplify]: Simplify 1/4 into 1/4
12.959 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
12.959 * [taylor]: Taking taylor expansion of (pow U 2) in U
12.959 * [taylor]: Taking taylor expansion of U in U
12.959 * [backup-simplify]: Simplify 0 into 0
12.959 * [backup-simplify]: Simplify 1 into 1
12.959 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
12.959 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
12.959 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
12.959 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
12.959 * [taylor]: Taking taylor expansion of 1/2 in U
12.959 * [backup-simplify]: Simplify 1/2 into 1/2
12.959 * [taylor]: Taking taylor expansion of K in U
12.959 * [backup-simplify]: Simplify K into K
12.959 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
12.959 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
12.959 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
12.959 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
12.960 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
12.960 * [backup-simplify]: Simplify (- 0) into 0
12.960 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
12.960 * [taylor]: Taking taylor expansion of (pow J 2) in U
12.960 * [taylor]: Taking taylor expansion of J in U
12.960 * [backup-simplify]: Simplify J into J
12.960 * [backup-simplify]: Simplify (* 1 1) into 1
12.960 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
12.960 * [backup-simplify]: Simplify (* J J) into (pow J 2)
12.960 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
12.961 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
12.961 * [taylor]: Taking taylor expansion of 1 in U
12.961 * [backup-simplify]: Simplify 1 into 1
12.961 * [backup-simplify]: Simplify (+ 0 1) into 1
12.961 * [backup-simplify]: Simplify (sqrt 1) into 1
12.961 * [backup-simplify]: Simplify (+ 0 0) into 0
12.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.962 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
12.962 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
12.962 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
12.962 * [taylor]: Taking taylor expansion of 1/4 in U
12.962 * [backup-simplify]: Simplify 1/4 into 1/4
12.962 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
12.962 * [taylor]: Taking taylor expansion of (pow U 2) in U
12.962 * [taylor]: Taking taylor expansion of U in U
12.962 * [backup-simplify]: Simplify 0 into 0
12.962 * [backup-simplify]: Simplify 1 into 1
12.962 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
12.962 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
12.962 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
12.962 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
12.962 * [taylor]: Taking taylor expansion of 1/2 in U
12.962 * [backup-simplify]: Simplify 1/2 into 1/2
12.962 * [taylor]: Taking taylor expansion of K in U
12.962 * [backup-simplify]: Simplify K into K
12.962 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
12.962 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
12.962 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
12.962 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
12.962 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
12.963 * [backup-simplify]: Simplify (- 0) into 0
12.963 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
12.963 * [taylor]: Taking taylor expansion of (pow J 2) in U
12.963 * [taylor]: Taking taylor expansion of J in U
12.963 * [backup-simplify]: Simplify J into J
12.963 * [backup-simplify]: Simplify (* 1 1) into 1
12.963 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
12.963 * [backup-simplify]: Simplify (* J J) into (pow J 2)
12.963 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
12.963 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
12.963 * [taylor]: Taking taylor expansion of 1 in U
12.963 * [backup-simplify]: Simplify 1 into 1
12.964 * [backup-simplify]: Simplify (+ 0 1) into 1
12.964 * [backup-simplify]: Simplify (sqrt 1) into 1
12.964 * [backup-simplify]: Simplify (+ 0 0) into 0
12.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.965 * [taylor]: Taking taylor expansion of 1 in J
12.965 * [backup-simplify]: Simplify 1 into 1
12.965 * [taylor]: Taking taylor expansion of 0 in J
12.965 * [backup-simplify]: Simplify 0 into 0
12.965 * [taylor]: Taking taylor expansion of 1 in K
12.965 * [backup-simplify]: Simplify 1 into 1
12.965 * [backup-simplify]: Simplify 1 into 1
12.965 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
12.965 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
12.966 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
12.966 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
12.966 * [taylor]: Taking taylor expansion of 1/8 in J
12.966 * [backup-simplify]: Simplify 1/8 into 1/8
12.966 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
12.966 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
12.966 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
12.966 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
12.966 * [taylor]: Taking taylor expansion of 1/2 in J
12.966 * [backup-simplify]: Simplify 1/2 into 1/2
12.966 * [taylor]: Taking taylor expansion of K in J
12.966 * [backup-simplify]: Simplify K into K
12.967 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
12.967 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
12.967 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
12.967 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
12.967 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
12.967 * [backup-simplify]: Simplify (- 0) into 0
12.967 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
12.967 * [taylor]: Taking taylor expansion of (pow J 2) in J
12.967 * [taylor]: Taking taylor expansion of J in J
12.967 * [backup-simplify]: Simplify 0 into 0
12.967 * [backup-simplify]: Simplify 1 into 1
12.967 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
12.967 * [backup-simplify]: Simplify (* 1 1) into 1
12.970 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
12.970 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
12.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.971 * [backup-simplify]: Simplify (+ 0) into 0
12.972 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
12.972 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
12.973 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.973 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
12.973 * [backup-simplify]: Simplify (- 0) into 0
12.973 * [backup-simplify]: Simplify (+ 0 0) into 0
12.974 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
12.974 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
12.974 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
12.974 * [taylor]: Taking taylor expansion of 0 in K
12.974 * [backup-simplify]: Simplify 0 into 0
12.974 * [backup-simplify]: Simplify 0 into 0
12.975 * [taylor]: Taking taylor expansion of 0 in K
12.975 * [backup-simplify]: Simplify 0 into 0
12.975 * [backup-simplify]: Simplify 0 into 0
12.975 * [taylor]: Taking taylor expansion of 0 in K
12.975 * [backup-simplify]: Simplify 0 into 0
12.975 * [backup-simplify]: Simplify 0 into 0
12.975 * [backup-simplify]: Simplify 0 into 0
12.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.976 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
12.977 * [backup-simplify]: Simplify (+ 0) into 0
12.977 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
12.977 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
12.978 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.978 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
12.979 * [backup-simplify]: Simplify (- 0) into 0
12.979 * [backup-simplify]: Simplify (+ 0 0) into 0
12.979 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
12.979 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
12.979 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
12.980 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
12.980 * [backup-simplify]: Simplify (+ 0 0) into 0
12.981 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
12.981 * [taylor]: Taking taylor expansion of 0 in J
12.981 * [backup-simplify]: Simplify 0 into 0
12.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.982 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.982 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
12.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
12.983 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.984 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
12.984 * [backup-simplify]: Simplify (- 0) into 0
12.984 * [backup-simplify]: Simplify (+ 0 0) into 0
12.984 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
12.985 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
12.985 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
12.985 * [taylor]: Taking taylor expansion of 0 in K
12.985 * [backup-simplify]: Simplify 0 into 0
12.985 * [backup-simplify]: Simplify 0 into 0
12.985 * [taylor]: Taking taylor expansion of 0 in K
12.985 * [backup-simplify]: Simplify 0 into 0
12.985 * [backup-simplify]: Simplify 0 into 0
12.985 * [backup-simplify]: Simplify 1 into 1
12.986 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
12.986 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0
12.986 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
12.986 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
12.986 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
12.986 * [taylor]: Taking taylor expansion of 1/4 in K
12.986 * [backup-simplify]: Simplify 1/4 into 1/4
12.986 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
12.986 * [taylor]: Taking taylor expansion of (pow J 2) in K
12.986 * [taylor]: Taking taylor expansion of J in K
12.986 * [backup-simplify]: Simplify J into J
12.986 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
12.986 * [taylor]: Taking taylor expansion of (pow U 2) in K
12.986 * [taylor]: Taking taylor expansion of U in K
12.986 * [backup-simplify]: Simplify U into U
12.986 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
12.986 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
12.986 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
12.986 * [taylor]: Taking taylor expansion of 1/2 in K
12.986 * [backup-simplify]: Simplify 1/2 into 1/2
12.986 * [taylor]: Taking taylor expansion of K in K
12.986 * [backup-simplify]: Simplify 0 into 0
12.986 * [backup-simplify]: Simplify 1 into 1
12.986 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.986 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.987 * [backup-simplify]: Simplify (* J J) into (pow J 2)
12.987 * [backup-simplify]: Simplify (* U U) into (pow U 2)
12.987 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
12.987 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
12.987 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
12.987 * [taylor]: Taking taylor expansion of 1 in K
12.987 * [backup-simplify]: Simplify 1 into 1
12.987 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
12.987 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
12.988 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
12.988 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
12.988 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
12.988 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
12.988 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
12.988 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
12.989 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
12.989 * [backup-simplify]: Simplify (+ 0 0) into 0
12.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
12.989 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
12.989 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
12.989 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
12.989 * [taylor]: Taking taylor expansion of 1/4 in J
12.989 * [backup-simplify]: Simplify 1/4 into 1/4
12.989 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
12.989 * [taylor]: Taking taylor expansion of (pow J 2) in J
12.990 * [taylor]: Taking taylor expansion of J in J
12.990 * [backup-simplify]: Simplify 0 into 0
12.990 * [backup-simplify]: Simplify 1 into 1
12.990 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
12.990 * [taylor]: Taking taylor expansion of (pow U 2) in J
12.990 * [taylor]: Taking taylor expansion of U in J
12.990 * [backup-simplify]: Simplify U into U
12.990 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
12.990 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
12.990 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
12.990 * [taylor]: Taking taylor expansion of 1/2 in J
12.990 * [backup-simplify]: Simplify 1/2 into 1/2
12.990 * [taylor]: Taking taylor expansion of K in J
12.990 * [backup-simplify]: Simplify K into K
12.990 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
12.990 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.990 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
12.990 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
12.990 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
12.990 * [backup-simplify]: Simplify (- 0) into 0
12.990 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
12.991 * [backup-simplify]: Simplify (* 1 1) into 1
12.991 * [backup-simplify]: Simplify (* U U) into (pow U 2)
12.991 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
12.991 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
12.991 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
12.991 * [taylor]: Taking taylor expansion of 1 in J
12.991 * [backup-simplify]: Simplify 1 into 1
12.992 * [backup-simplify]: Simplify (+ 0 1) into 1
12.992 * [backup-simplify]: Simplify (sqrt 1) into 1
12.992 * [backup-simplify]: Simplify (+ 0 0) into 0
12.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.993 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
12.993 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
12.993 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
12.993 * [taylor]: Taking taylor expansion of 1/4 in U
12.993 * [backup-simplify]: Simplify 1/4 into 1/4
12.993 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
12.993 * [taylor]: Taking taylor expansion of (pow J 2) in U
12.993 * [taylor]: Taking taylor expansion of J in U
12.993 * [backup-simplify]: Simplify J into J
12.993 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
12.993 * [taylor]: Taking taylor expansion of (pow U 2) in U
12.993 * [taylor]: Taking taylor expansion of U in U
12.993 * [backup-simplify]: Simplify 0 into 0
12.993 * [backup-simplify]: Simplify 1 into 1
12.993 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
12.994 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
12.994 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
12.994 * [taylor]: Taking taylor expansion of 1/2 in U
12.994 * [backup-simplify]: Simplify 1/2 into 1/2
12.994 * [taylor]: Taking taylor expansion of K in U
12.994 * [backup-simplify]: Simplify K into K
12.994 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
12.994 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.994 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
12.994 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
12.994 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
12.994 * [backup-simplify]: Simplify (- 0) into 0
12.994 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
12.995 * [backup-simplify]: Simplify (* J J) into (pow J 2)
12.995 * [backup-simplify]: Simplify (* 1 1) into 1
12.995 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
12.995 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
12.995 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
12.995 * [taylor]: Taking taylor expansion of 1 in U
12.995 * [backup-simplify]: Simplify 1 into 1
12.996 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
12.996 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
12.996 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
12.996 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
12.997 * [backup-simplify]: Simplify (+ 0) into 0
12.997 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
12.997 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
12.998 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.998 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
12.999 * [backup-simplify]: Simplify (- 0) into 0
12.999 * [backup-simplify]: Simplify (+ 0 0) into 0
12.999 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
13.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
13.001 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
13.002 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
13.002 * [backup-simplify]: Simplify (+ 0 0) into 0
13.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
13.002 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
13.002 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
13.002 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
13.002 * [taylor]: Taking taylor expansion of 1/4 in U
13.002 * [backup-simplify]: Simplify 1/4 into 1/4
13.002 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
13.002 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.002 * [taylor]: Taking taylor expansion of J in U
13.002 * [backup-simplify]: Simplify J into J
13.003 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
13.003 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.003 * [taylor]: Taking taylor expansion of U in U
13.003 * [backup-simplify]: Simplify 0 into 0
13.003 * [backup-simplify]: Simplify 1 into 1
13.003 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
13.003 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
13.003 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
13.003 * [taylor]: Taking taylor expansion of 1/2 in U
13.003 * [backup-simplify]: Simplify 1/2 into 1/2
13.003 * [taylor]: Taking taylor expansion of K in U
13.003 * [backup-simplify]: Simplify K into K
13.003 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
13.003 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
13.003 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
13.003 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
13.003 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
13.004 * [backup-simplify]: Simplify (- 0) into 0
13.004 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
13.004 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.004 * [backup-simplify]: Simplify (* 1 1) into 1
13.004 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
13.004 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
13.004 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
13.005 * [taylor]: Taking taylor expansion of 1 in U
13.005 * [backup-simplify]: Simplify 1 into 1
13.005 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
13.005 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
13.005 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
13.005 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.006 * [backup-simplify]: Simplify (+ 0) into 0
13.006 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
13.006 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
13.007 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.008 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
13.008 * [backup-simplify]: Simplify (- 0) into 0
13.008 * [backup-simplify]: Simplify (+ 0 0) into 0
13.008 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
13.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
13.010 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
13.011 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
13.011 * [backup-simplify]: Simplify (+ 0 0) into 0
13.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
13.011 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
13.011 * [taylor]: Taking taylor expansion of 1/2 in J
13.011 * [backup-simplify]: Simplify 1/2 into 1/2
13.011 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
13.011 * [taylor]: Taking taylor expansion of J in J
13.011 * [backup-simplify]: Simplify 0 into 0
13.011 * [backup-simplify]: Simplify 1 into 1
13.011 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
13.012 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
13.012 * [taylor]: Taking taylor expansion of 1/2 in J
13.012 * [backup-simplify]: Simplify 1/2 into 1/2
13.012 * [taylor]: Taking taylor expansion of K in J
13.012 * [backup-simplify]: Simplify K into K
13.012 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
13.012 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
13.012 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
13.012 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
13.012 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
13.012 * [backup-simplify]: Simplify (- 0) into 0
13.012 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
13.013 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
13.013 * [taylor]: Taking taylor expansion of 0 in J
13.013 * [backup-simplify]: Simplify 0 into 0
13.013 * [taylor]: Taking taylor expansion of 0 in K
13.013 * [backup-simplify]: Simplify 0 into 0
13.013 * [backup-simplify]: Simplify 0 into 0
13.013 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
13.013 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
13.013 * [taylor]: Taking taylor expansion of 1/2 in K
13.013 * [backup-simplify]: Simplify 1/2 into 1/2
13.013 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
13.013 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
13.013 * [taylor]: Taking taylor expansion of 1/2 in K
13.013 * [backup-simplify]: Simplify 1/2 into 1/2
13.013 * [taylor]: Taking taylor expansion of K in K
13.013 * [backup-simplify]: Simplify 0 into 0
13.013 * [backup-simplify]: Simplify 1 into 1
13.013 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
13.014 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
13.014 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
13.014 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
13.014 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
13.015 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.016 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
13.016 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
13.017 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.017 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
13.018 * [backup-simplify]: Simplify (- 0) into 0
13.018 * [backup-simplify]: Simplify (+ 0 0) into 0
13.019 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
13.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
13.021 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
13.022 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
13.023 * [backup-simplify]: Simplify (+ 0 1) into 1
13.023 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
13.024 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
13.024 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
13.024 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
13.024 * [taylor]: Taking taylor expansion of 1/2 in J
13.024 * [backup-simplify]: Simplify 1/2 into 1/2
13.024 * [taylor]: Taking taylor expansion of K in J
13.024 * [backup-simplify]: Simplify K into K
13.024 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
13.024 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
13.024 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
13.024 * [taylor]: Taking taylor expansion of J in J
13.024 * [backup-simplify]: Simplify 0 into 0
13.024 * [backup-simplify]: Simplify 1 into 1
13.024 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
13.024 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
13.025 * [backup-simplify]: Simplify (- 0) into 0
13.025 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
13.025 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
13.025 * [backup-simplify]: Simplify (+ 0) into 0
13.026 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
13.026 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
13.027 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.028 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
13.028 * [backup-simplify]: Simplify (- 0) into 0
13.028 * [backup-simplify]: Simplify (+ 0 0) into 0
13.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
13.029 * [taylor]: Taking taylor expansion of 0 in K
13.029 * [backup-simplify]: Simplify 0 into 0
13.029 * [backup-simplify]: Simplify 0 into 0
13.029 * [taylor]: Taking taylor expansion of 0 in K
13.029 * [backup-simplify]: Simplify 0 into 0
13.030 * [backup-simplify]: Simplify 0 into 0
13.030 * [backup-simplify]: Simplify (+ 0) into 0
13.031 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
13.031 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
13.031 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.032 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
13.032 * [backup-simplify]: Simplify (- 0) into 0
13.033 * [backup-simplify]: Simplify (+ 0 0) into 0
13.033 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
13.034 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
13.034 * [taylor]: Taking taylor expansion of 0 in K
13.034 * [backup-simplify]: Simplify 0 into 0
13.034 * [backup-simplify]: Simplify 0 into 0
13.034 * [backup-simplify]: Simplify 0 into 0
13.034 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
13.034 * [backup-simplify]: Simplify 0 into 0
13.035 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
13.036 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
13.037 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.037 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
13.039 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
13.039 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
13.040 * [backup-simplify]: Simplify (- 0) into 0
13.040 * [backup-simplify]: Simplify (+ 0 0) into 0
13.041 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
13.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
13.045 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
13.046 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
13.047 * [backup-simplify]: Simplify (+ 0 0) into 0
13.047 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
13.047 * [taylor]: Taking taylor expansion of 0 in J
13.047 * [backup-simplify]: Simplify 0 into 0
13.047 * [taylor]: Taking taylor expansion of 0 in K
13.047 * [backup-simplify]: Simplify 0 into 0
13.047 * [backup-simplify]: Simplify 0 into 0
13.047 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
13.048 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
13.048 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0
13.048 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
13.048 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
13.048 * [taylor]: Taking taylor expansion of 1 in K
13.048 * [backup-simplify]: Simplify 1 into 1
13.048 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
13.048 * [taylor]: Taking taylor expansion of 1/4 in K
13.048 * [backup-simplify]: Simplify 1/4 into 1/4
13.048 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
13.048 * [taylor]: Taking taylor expansion of (pow J 2) in K
13.048 * [taylor]: Taking taylor expansion of J in K
13.048 * [backup-simplify]: Simplify J into J
13.048 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
13.048 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
13.049 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
13.049 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
13.049 * [taylor]: Taking taylor expansion of -1/2 in K
13.049 * [backup-simplify]: Simplify -1/2 into -1/2
13.049 * [taylor]: Taking taylor expansion of K in K
13.049 * [backup-simplify]: Simplify 0 into 0
13.049 * [backup-simplify]: Simplify 1 into 1
13.049 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
13.049 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
13.049 * [taylor]: Taking taylor expansion of (pow U 2) in K
13.049 * [taylor]: Taking taylor expansion of U in K
13.049 * [backup-simplify]: Simplify U into U
13.050 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.050 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
13.050 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.050 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
13.050 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
13.050 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
13.051 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
13.051 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
13.051 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.052 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
13.052 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
13.052 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
13.053 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
13.054 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
13.054 * [backup-simplify]: Simplify (+ 0 0) into 0
13.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
13.055 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
13.055 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
13.055 * [taylor]: Taking taylor expansion of 1 in J
13.055 * [backup-simplify]: Simplify 1 into 1
13.055 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
13.055 * [taylor]: Taking taylor expansion of 1/4 in J
13.055 * [backup-simplify]: Simplify 1/4 into 1/4
13.055 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
13.055 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.055 * [taylor]: Taking taylor expansion of J in J
13.055 * [backup-simplify]: Simplify 0 into 0
13.055 * [backup-simplify]: Simplify 1 into 1
13.055 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
13.055 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
13.055 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
13.055 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
13.055 * [taylor]: Taking taylor expansion of -1/2 in J
13.055 * [backup-simplify]: Simplify -1/2 into -1/2
13.055 * [taylor]: Taking taylor expansion of K in J
13.055 * [backup-simplify]: Simplify K into K
13.055 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
13.055 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
13.055 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
13.056 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
13.056 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
13.056 * [backup-simplify]: Simplify (- 0) into 0
13.056 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
13.056 * [taylor]: Taking taylor expansion of (pow U 2) in J
13.056 * [taylor]: Taking taylor expansion of U in J
13.056 * [backup-simplify]: Simplify U into U
13.057 * [backup-simplify]: Simplify (* 1 1) into 1
13.057 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
13.057 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.057 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
13.057 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
13.058 * [backup-simplify]: Simplify (+ 1 0) into 1
13.058 * [backup-simplify]: Simplify (sqrt 1) into 1
13.059 * [backup-simplify]: Simplify (+ 0 0) into 0
13.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.059 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
13.059 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
13.060 * [taylor]: Taking taylor expansion of 1 in U
13.060 * [backup-simplify]: Simplify 1 into 1
13.060 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
13.060 * [taylor]: Taking taylor expansion of 1/4 in U
13.060 * [backup-simplify]: Simplify 1/4 into 1/4
13.060 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
13.060 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.060 * [taylor]: Taking taylor expansion of J in U
13.060 * [backup-simplify]: Simplify J into J
13.060 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
13.060 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
13.060 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
13.060 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
13.060 * [taylor]: Taking taylor expansion of -1/2 in U
13.060 * [backup-simplify]: Simplify -1/2 into -1/2
13.060 * [taylor]: Taking taylor expansion of K in U
13.060 * [backup-simplify]: Simplify K into K
13.060 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
13.060 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
13.060 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
13.060 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
13.060 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
13.061 * [backup-simplify]: Simplify (- 0) into 0
13.061 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
13.061 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.061 * [taylor]: Taking taylor expansion of U in U
13.061 * [backup-simplify]: Simplify 0 into 0
13.061 * [backup-simplify]: Simplify 1 into 1
13.061 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.061 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
13.062 * [backup-simplify]: Simplify (* 1 1) into 1
13.062 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
13.062 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
13.062 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
13.063 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
13.063 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
13.063 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.064 * [backup-simplify]: Simplify (+ 0) into 0
13.065 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
13.065 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
13.066 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.066 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
13.067 * [backup-simplify]: Simplify (- 0) into 0
13.067 * [backup-simplify]: Simplify (+ 0 0) into 0
13.067 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
13.068 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
13.068 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
13.069 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
13.069 * [backup-simplify]: Simplify (+ 0 0) into 0
13.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
13.070 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
13.070 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
13.070 * [taylor]: Taking taylor expansion of 1 in U
13.070 * [backup-simplify]: Simplify 1 into 1
13.070 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
13.070 * [taylor]: Taking taylor expansion of 1/4 in U
13.070 * [backup-simplify]: Simplify 1/4 into 1/4
13.070 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
13.070 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.070 * [taylor]: Taking taylor expansion of J in U
13.070 * [backup-simplify]: Simplify J into J
13.070 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
13.070 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
13.070 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
13.070 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
13.070 * [taylor]: Taking taylor expansion of -1/2 in U
13.070 * [backup-simplify]: Simplify -1/2 into -1/2
13.070 * [taylor]: Taking taylor expansion of K in U
13.070 * [backup-simplify]: Simplify K into K
13.070 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
13.070 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
13.070 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
13.071 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
13.071 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
13.071 * [backup-simplify]: Simplify (- 0) into 0
13.071 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
13.071 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.071 * [taylor]: Taking taylor expansion of U in U
13.071 * [backup-simplify]: Simplify 0 into 0
13.071 * [backup-simplify]: Simplify 1 into 1
13.071 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.072 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
13.072 * [backup-simplify]: Simplify (* 1 1) into 1
13.072 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
13.072 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
13.073 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
13.073 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
13.073 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
13.073 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.074 * [backup-simplify]: Simplify (+ 0) into 0
13.075 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
13.075 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
13.076 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.077 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
13.077 * [backup-simplify]: Simplify (- 0) into 0
13.077 * [backup-simplify]: Simplify (+ 0 0) into 0
13.078 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
13.078 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
13.079 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
13.079 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
13.080 * [backup-simplify]: Simplify (+ 0 0) into 0
13.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
13.080 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
13.080 * [taylor]: Taking taylor expansion of 1/2 in J
13.080 * [backup-simplify]: Simplify 1/2 into 1/2
13.080 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
13.080 * [taylor]: Taking taylor expansion of J in J
13.080 * [backup-simplify]: Simplify 0 into 0
13.080 * [backup-simplify]: Simplify 1 into 1
13.080 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
13.080 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
13.080 * [taylor]: Taking taylor expansion of -1/2 in J
13.080 * [backup-simplify]: Simplify -1/2 into -1/2
13.080 * [taylor]: Taking taylor expansion of K in J
13.080 * [backup-simplify]: Simplify K into K
13.081 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
13.081 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
13.081 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
13.081 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
13.081 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
13.081 * [backup-simplify]: Simplify (- 0) into 0
13.081 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
13.081 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
13.082 * [taylor]: Taking taylor expansion of 0 in J
13.082 * [backup-simplify]: Simplify 0 into 0
13.082 * [taylor]: Taking taylor expansion of 0 in K
13.082 * [backup-simplify]: Simplify 0 into 0
13.082 * [backup-simplify]: Simplify 0 into 0
13.082 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
13.082 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
13.082 * [taylor]: Taking taylor expansion of 1/2 in K
13.082 * [backup-simplify]: Simplify 1/2 into 1/2
13.082 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
13.082 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
13.082 * [taylor]: Taking taylor expansion of -1/2 in K
13.082 * [backup-simplify]: Simplify -1/2 into -1/2
13.082 * [taylor]: Taking taylor expansion of K in K
13.082 * [backup-simplify]: Simplify 0 into 0
13.082 * [backup-simplify]: Simplify 1 into 1
13.083 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
13.083 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
13.083 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
13.083 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
13.083 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
13.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.086 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.087 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
13.087 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
13.088 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.088 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
13.089 * [backup-simplify]: Simplify (- 0) into 0
13.089 * [backup-simplify]: Simplify (+ 0 0) into 0
13.090 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
13.090 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
13.091 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
13.092 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
13.092 * [backup-simplify]: Simplify (+ 1 0) into 1
13.093 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
13.093 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
13.093 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
13.094 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
13.094 * [taylor]: Taking taylor expansion of -1/2 in J
13.094 * [backup-simplify]: Simplify -1/2 into -1/2
13.094 * [taylor]: Taking taylor expansion of K in J
13.094 * [backup-simplify]: Simplify K into K
13.094 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
13.094 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
13.094 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
13.094 * [taylor]: Taking taylor expansion of J in J
13.094 * [backup-simplify]: Simplify 0 into 0
13.094 * [backup-simplify]: Simplify 1 into 1
13.094 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
13.094 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
13.095 * [backup-simplify]: Simplify (- 0) into 0
13.095 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
13.095 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
13.095 * [backup-simplify]: Simplify (+ 0) into 0
13.096 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
13.096 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
13.097 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.097 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
13.098 * [backup-simplify]: Simplify (- 0) into 0
13.098 * [backup-simplify]: Simplify (+ 0 0) into 0
13.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
13.099 * [taylor]: Taking taylor expansion of 0 in K
13.099 * [backup-simplify]: Simplify 0 into 0
13.099 * [backup-simplify]: Simplify 0 into 0
13.099 * [taylor]: Taking taylor expansion of 0 in K
13.099 * [backup-simplify]: Simplify 0 into 0
13.099 * [backup-simplify]: Simplify 0 into 0
13.100 * [backup-simplify]: Simplify (+ 0) into 0
13.100 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
13.100 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
13.101 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.102 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
13.102 * [backup-simplify]: Simplify (- 0) into 0
13.102 * [backup-simplify]: Simplify (+ 0 0) into 0
13.103 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
13.103 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
13.103 * [taylor]: Taking taylor expansion of 0 in K
13.103 * [backup-simplify]: Simplify 0 into 0
13.103 * [backup-simplify]: Simplify 0 into 0
13.103 * [backup-simplify]: Simplify 0 into 0
13.104 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
13.104 * [backup-simplify]: Simplify 0 into 0
13.105 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
13.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.107 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
13.108 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.108 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
13.110 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
13.111 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
13.111 * [backup-simplify]: Simplify (- 0) into 0
13.111 * [backup-simplify]: Simplify (+ 0 0) into 0
13.112 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
13.113 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.114 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
13.115 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
13.116 * [backup-simplify]: Simplify (+ 0 0) into 0
13.116 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
13.116 * [taylor]: Taking taylor expansion of 0 in J
13.116 * [backup-simplify]: Simplify 0 into 0
13.116 * [taylor]: Taking taylor expansion of 0 in K
13.116 * [backup-simplify]: Simplify 0 into 0
13.116 * [backup-simplify]: Simplify 0 into 0
13.116 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
13.117 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
13.117 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
13.117 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0
13.117 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
13.117 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
13.117 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
13.117 * [taylor]: Taking taylor expansion of 1/4 in K
13.117 * [backup-simplify]: Simplify 1/4 into 1/4
13.117 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
13.117 * [taylor]: Taking taylor expansion of (pow U 2) in K
13.117 * [taylor]: Taking taylor expansion of U in K
13.117 * [backup-simplify]: Simplify U into U
13.117 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
13.117 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
13.118 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
13.118 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
13.118 * [taylor]: Taking taylor expansion of 1/2 in K
13.118 * [backup-simplify]: Simplify 1/2 into 1/2
13.118 * [taylor]: Taking taylor expansion of K in K
13.118 * [backup-simplify]: Simplify 0 into 0
13.118 * [backup-simplify]: Simplify 1 into 1
13.123 * [backup-simplify]: Simplify (* 1/2 0) into 0
13.124 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
13.124 * [taylor]: Taking taylor expansion of (pow J 2) in K
13.124 * [taylor]: Taking taylor expansion of J in K
13.124 * [backup-simplify]: Simplify J into J
13.124 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.125 * [backup-simplify]: Simplify (* 1 1) into 1
13.125 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.125 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
13.125 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
13.125 * [taylor]: Taking taylor expansion of 1 in K
13.125 * [backup-simplify]: Simplify 1 into 1
13.125 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
13.125 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
13.126 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
13.126 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
13.126 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.127 * [backup-simplify]: Simplify (+ 0) into 0
13.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
13.128 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
13.129 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
13.129 * [backup-simplify]: Simplify (+ 0 0) into 0
13.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
13.130 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
13.130 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
13.130 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
13.130 * [taylor]: Taking taylor expansion of 1/4 in J
13.130 * [backup-simplify]: Simplify 1/4 into 1/4
13.130 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
13.130 * [taylor]: Taking taylor expansion of (pow U 2) in J
13.130 * [taylor]: Taking taylor expansion of U in J
13.130 * [backup-simplify]: Simplify U into U
13.130 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
13.130 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
13.130 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
13.130 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
13.130 * [taylor]: Taking taylor expansion of 1/2 in J
13.130 * [backup-simplify]: Simplify 1/2 into 1/2
13.130 * [taylor]: Taking taylor expansion of K in J
13.130 * [backup-simplify]: Simplify K into K
13.130 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
13.130 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
13.130 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
13.130 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
13.131 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
13.131 * [backup-simplify]: Simplify (- 0) into 0
13.131 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
13.131 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.131 * [taylor]: Taking taylor expansion of J in J
13.131 * [backup-simplify]: Simplify 0 into 0
13.131 * [backup-simplify]: Simplify 1 into 1
13.131 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.131 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
13.132 * [backup-simplify]: Simplify (* 1 1) into 1
13.132 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
13.132 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
13.132 * [taylor]: Taking taylor expansion of 1 in J
13.132 * [backup-simplify]: Simplify 1 into 1
13.132 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
13.133 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
13.133 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
13.133 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
13.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.134 * [backup-simplify]: Simplify (+ 0) into 0
13.135 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
13.135 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
13.136 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.137 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
13.137 * [backup-simplify]: Simplify (- 0) into 0
13.137 * [backup-simplify]: Simplify (+ 0 0) into 0
13.138 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
13.138 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
13.139 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
13.140 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
13.140 * [backup-simplify]: Simplify (+ 0 0) into 0
13.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
13.140 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
13.140 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
13.140 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
13.140 * [taylor]: Taking taylor expansion of 1/4 in U
13.140 * [backup-simplify]: Simplify 1/4 into 1/4
13.140 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
13.140 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.140 * [taylor]: Taking taylor expansion of U in U
13.141 * [backup-simplify]: Simplify 0 into 0
13.141 * [backup-simplify]: Simplify 1 into 1
13.141 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
13.141 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
13.141 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
13.141 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
13.141 * [taylor]: Taking taylor expansion of 1/2 in U
13.141 * [backup-simplify]: Simplify 1/2 into 1/2
13.141 * [taylor]: Taking taylor expansion of K in U
13.141 * [backup-simplify]: Simplify K into K
13.141 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
13.141 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
13.141 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
13.141 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
13.141 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
13.142 * [backup-simplify]: Simplify (- 0) into 0
13.142 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
13.142 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.142 * [taylor]: Taking taylor expansion of J in U
13.142 * [backup-simplify]: Simplify J into J
13.142 * [backup-simplify]: Simplify (* 1 1) into 1
13.142 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
13.142 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.143 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
13.143 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
13.143 * [taylor]: Taking taylor expansion of 1 in U
13.143 * [backup-simplify]: Simplify 1 into 1
13.143 * [backup-simplify]: Simplify (+ 0 1) into 1
13.144 * [backup-simplify]: Simplify (sqrt 1) into 1
13.144 * [backup-simplify]: Simplify (+ 0 0) into 0
13.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.145 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
13.145 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
13.145 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
13.145 * [taylor]: Taking taylor expansion of 1/4 in U
13.145 * [backup-simplify]: Simplify 1/4 into 1/4
13.145 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
13.145 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.145 * [taylor]: Taking taylor expansion of U in U
13.145 * [backup-simplify]: Simplify 0 into 0
13.145 * [backup-simplify]: Simplify 1 into 1
13.145 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
13.145 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
13.145 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
13.145 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
13.145 * [taylor]: Taking taylor expansion of 1/2 in U
13.145 * [backup-simplify]: Simplify 1/2 into 1/2
13.145 * [taylor]: Taking taylor expansion of K in U
13.145 * [backup-simplify]: Simplify K into K
13.146 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
13.146 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
13.146 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
13.146 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
13.146 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
13.146 * [backup-simplify]: Simplify (- 0) into 0
13.146 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
13.146 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.147 * [taylor]: Taking taylor expansion of J in U
13.147 * [backup-simplify]: Simplify J into J
13.147 * [backup-simplify]: Simplify (* 1 1) into 1
13.147 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
13.147 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.147 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
13.148 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
13.148 * [taylor]: Taking taylor expansion of 1 in U
13.148 * [backup-simplify]: Simplify 1 into 1
13.148 * [backup-simplify]: Simplify (+ 0 1) into 1
13.148 * [backup-simplify]: Simplify (sqrt 1) into 1
13.149 * [backup-simplify]: Simplify (+ 0 0) into 0
13.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.150 * [taylor]: Taking taylor expansion of 1 in J
13.150 * [backup-simplify]: Simplify 1 into 1
13.150 * [taylor]: Taking taylor expansion of 0 in J
13.150 * [backup-simplify]: Simplify 0 into 0
13.150 * [taylor]: Taking taylor expansion of 1 in K
13.150 * [backup-simplify]: Simplify 1 into 1
13.150 * [backup-simplify]: Simplify 1 into 1
13.150 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
13.151 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
13.152 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
13.153 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
13.153 * [taylor]: Taking taylor expansion of 1/8 in J
13.153 * [backup-simplify]: Simplify 1/8 into 1/8
13.153 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
13.153 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
13.153 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
13.153 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
13.153 * [taylor]: Taking taylor expansion of 1/2 in J
13.153 * [backup-simplify]: Simplify 1/2 into 1/2
13.153 * [taylor]: Taking taylor expansion of K in J
13.153 * [backup-simplify]: Simplify K into K
13.153 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
13.153 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
13.153 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
13.153 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
13.153 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
13.154 * [backup-simplify]: Simplify (- 0) into 0
13.154 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
13.154 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.154 * [taylor]: Taking taylor expansion of J in J
13.154 * [backup-simplify]: Simplify 0 into 0
13.154 * [backup-simplify]: Simplify 1 into 1
13.154 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
13.155 * [backup-simplify]: Simplify (* 1 1) into 1
13.155 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
13.155 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
13.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.156 * [backup-simplify]: Simplify (+ 0) into 0
13.157 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
13.157 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
13.158 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.158 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
13.159 * [backup-simplify]: Simplify (- 0) into 0
13.159 * [backup-simplify]: Simplify (+ 0 0) into 0
13.159 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
13.160 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
13.160 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
13.160 * [taylor]: Taking taylor expansion of 0 in K
13.160 * [backup-simplify]: Simplify 0 into 0
13.160 * [backup-simplify]: Simplify 0 into 0
13.161 * [taylor]: Taking taylor expansion of 0 in K
13.161 * [backup-simplify]: Simplify 0 into 0
13.161 * [backup-simplify]: Simplify 0 into 0
13.161 * [taylor]: Taking taylor expansion of 0 in K
13.161 * [backup-simplify]: Simplify 0 into 0
13.161 * [backup-simplify]: Simplify 0 into 0
13.161 * [backup-simplify]: Simplify 0 into 0
13.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.162 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.162 * [backup-simplify]: Simplify (+ 0) into 0
13.163 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
13.163 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
13.164 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.164 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
13.165 * [backup-simplify]: Simplify (- 0) into 0
13.165 * [backup-simplify]: Simplify (+ 0 0) into 0
13.165 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
13.166 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
13.166 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
13.167 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
13.167 * [backup-simplify]: Simplify (+ 0 0) into 0
13.168 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
13.168 * [taylor]: Taking taylor expansion of 0 in J
13.168 * [backup-simplify]: Simplify 0 into 0
13.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.170 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.171 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
13.172 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
13.173 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.173 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
13.174 * [backup-simplify]: Simplify (- 0) into 0
13.174 * [backup-simplify]: Simplify (+ 0 0) into 0
13.175 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
13.175 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
13.176 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
13.176 * [taylor]: Taking taylor expansion of 0 in K
13.176 * [backup-simplify]: Simplify 0 into 0
13.176 * [backup-simplify]: Simplify 0 into 0
13.176 * [taylor]: Taking taylor expansion of 0 in K
13.176 * [backup-simplify]: Simplify 0 into 0
13.176 * [backup-simplify]: Simplify 0 into 0
13.176 * [backup-simplify]: Simplify 1 into 1
13.177 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
13.177 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0
13.177 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
13.177 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
13.177 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
13.177 * [taylor]: Taking taylor expansion of 1/4 in K
13.177 * [backup-simplify]: Simplify 1/4 into 1/4
13.177 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
13.177 * [taylor]: Taking taylor expansion of (pow J 2) in K
13.177 * [taylor]: Taking taylor expansion of J in K
13.177 * [backup-simplify]: Simplify J into J
13.177 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
13.177 * [taylor]: Taking taylor expansion of (pow U 2) in K
13.177 * [taylor]: Taking taylor expansion of U in K
13.177 * [backup-simplify]: Simplify U into U
13.177 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
13.177 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
13.177 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
13.177 * [taylor]: Taking taylor expansion of 1/2 in K
13.177 * [backup-simplify]: Simplify 1/2 into 1/2
13.177 * [taylor]: Taking taylor expansion of K in K
13.177 * [backup-simplify]: Simplify 0 into 0
13.178 * [backup-simplify]: Simplify 1 into 1
13.178 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
13.178 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
13.178 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.178 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.179 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
13.179 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
13.179 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
13.179 * [taylor]: Taking taylor expansion of 1 in K
13.179 * [backup-simplify]: Simplify 1 into 1
13.179 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
13.180 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
13.180 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
13.180 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.180 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
13.180 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
13.180 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
13.181 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
13.182 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
13.182 * [backup-simplify]: Simplify (+ 0 0) into 0
13.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
13.183 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
13.183 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
13.183 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
13.183 * [taylor]: Taking taylor expansion of 1/4 in J
13.183 * [backup-simplify]: Simplify 1/4 into 1/4
13.183 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
13.183 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.183 * [taylor]: Taking taylor expansion of J in J
13.183 * [backup-simplify]: Simplify 0 into 0
13.183 * [backup-simplify]: Simplify 1 into 1
13.183 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
13.183 * [taylor]: Taking taylor expansion of (pow U 2) in J
13.183 * [taylor]: Taking taylor expansion of U in J
13.183 * [backup-simplify]: Simplify U into U
13.183 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
13.183 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
13.183 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
13.183 * [taylor]: Taking taylor expansion of 1/2 in J
13.183 * [backup-simplify]: Simplify 1/2 into 1/2
13.183 * [taylor]: Taking taylor expansion of K in J
13.183 * [backup-simplify]: Simplify K into K
13.184 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
13.184 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
13.184 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
13.184 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
13.184 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
13.184 * [backup-simplify]: Simplify (- 0) into 0
13.184 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
13.185 * [backup-simplify]: Simplify (* 1 1) into 1
13.185 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.185 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
13.185 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
13.185 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
13.185 * [taylor]: Taking taylor expansion of 1 in J
13.185 * [backup-simplify]: Simplify 1 into 1
13.186 * [backup-simplify]: Simplify (+ 0 1) into 1
13.186 * [backup-simplify]: Simplify (sqrt 1) into 1
13.187 * [backup-simplify]: Simplify (+ 0 0) into 0
13.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.188 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
13.188 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
13.188 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
13.188 * [taylor]: Taking taylor expansion of 1/4 in U
13.188 * [backup-simplify]: Simplify 1/4 into 1/4
13.188 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
13.188 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.188 * [taylor]: Taking taylor expansion of J in U
13.188 * [backup-simplify]: Simplify J into J
13.188 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
13.188 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.188 * [taylor]: Taking taylor expansion of U in U
13.188 * [backup-simplify]: Simplify 0 into 0
13.188 * [backup-simplify]: Simplify 1 into 1
13.188 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
13.188 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
13.188 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
13.188 * [taylor]: Taking taylor expansion of 1/2 in U
13.188 * [backup-simplify]: Simplify 1/2 into 1/2
13.188 * [taylor]: Taking taylor expansion of K in U
13.188 * [backup-simplify]: Simplify K into K
13.188 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
13.188 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
13.189 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
13.189 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
13.189 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
13.189 * [backup-simplify]: Simplify (- 0) into 0
13.189 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
13.189 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.190 * [backup-simplify]: Simplify (* 1 1) into 1
13.190 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
13.190 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
13.190 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
13.190 * [taylor]: Taking taylor expansion of 1 in U
13.190 * [backup-simplify]: Simplify 1 into 1
13.190 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
13.191 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
13.191 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
13.191 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.192 * [backup-simplify]: Simplify (+ 0) into 0
13.192 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
13.192 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
13.193 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.193 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
13.194 * [backup-simplify]: Simplify (- 0) into 0
13.194 * [backup-simplify]: Simplify (+ 0 0) into 0
13.194 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
13.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
13.196 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
13.197 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
13.197 * [backup-simplify]: Simplify (+ 0 0) into 0
13.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
13.197 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
13.197 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
13.197 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
13.197 * [taylor]: Taking taylor expansion of 1/4 in U
13.197 * [backup-simplify]: Simplify 1/4 into 1/4
13.198 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
13.198 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.198 * [taylor]: Taking taylor expansion of J in U
13.198 * [backup-simplify]: Simplify J into J
13.198 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
13.198 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.198 * [taylor]: Taking taylor expansion of U in U
13.198 * [backup-simplify]: Simplify 0 into 0
13.198 * [backup-simplify]: Simplify 1 into 1
13.198 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
13.198 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
13.198 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
13.198 * [taylor]: Taking taylor expansion of 1/2 in U
13.198 * [backup-simplify]: Simplify 1/2 into 1/2
13.198 * [taylor]: Taking taylor expansion of K in U
13.198 * [backup-simplify]: Simplify K into K
13.198 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
13.198 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
13.198 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
13.198 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
13.198 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
13.199 * [backup-simplify]: Simplify (- 0) into 0
13.199 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
13.199 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.199 * [backup-simplify]: Simplify (* 1 1) into 1
13.200 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
13.200 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
13.200 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
13.200 * [taylor]: Taking taylor expansion of 1 in U
13.200 * [backup-simplify]: Simplify 1 into 1
13.200 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
13.200 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
13.201 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
13.201 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.201 * [backup-simplify]: Simplify (+ 0) into 0
13.202 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
13.202 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
13.203 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.203 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
13.204 * [backup-simplify]: Simplify (- 0) into 0
13.204 * [backup-simplify]: Simplify (+ 0 0) into 0
13.204 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
13.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
13.206 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
13.207 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
13.207 * [backup-simplify]: Simplify (+ 0 0) into 0
13.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
13.207 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
13.207 * [taylor]: Taking taylor expansion of 1/2 in J
13.207 * [backup-simplify]: Simplify 1/2 into 1/2
13.207 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
13.208 * [taylor]: Taking taylor expansion of J in J
13.208 * [backup-simplify]: Simplify 0 into 0
13.208 * [backup-simplify]: Simplify 1 into 1
13.208 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
13.208 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
13.208 * [taylor]: Taking taylor expansion of 1/2 in J
13.208 * [backup-simplify]: Simplify 1/2 into 1/2
13.208 * [taylor]: Taking taylor expansion of K in J
13.208 * [backup-simplify]: Simplify K into K
13.208 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
13.208 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
13.208 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
13.208 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
13.208 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
13.209 * [backup-simplify]: Simplify (- 0) into 0
13.209 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
13.209 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
13.209 * [taylor]: Taking taylor expansion of 0 in J
13.209 * [backup-simplify]: Simplify 0 into 0
13.209 * [taylor]: Taking taylor expansion of 0 in K
13.209 * [backup-simplify]: Simplify 0 into 0
13.209 * [backup-simplify]: Simplify 0 into 0
13.209 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
13.209 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
13.209 * [taylor]: Taking taylor expansion of 1/2 in K
13.209 * [backup-simplify]: Simplify 1/2 into 1/2
13.209 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
13.209 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
13.209 * [taylor]: Taking taylor expansion of 1/2 in K
13.209 * [backup-simplify]: Simplify 1/2 into 1/2
13.209 * [taylor]: Taking taylor expansion of K in K
13.209 * [backup-simplify]: Simplify 0 into 0
13.209 * [backup-simplify]: Simplify 1 into 1
13.210 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
13.210 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
13.210 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
13.210 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
13.210 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
13.211 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.211 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
13.212 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
13.212 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.212 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
13.213 * [backup-simplify]: Simplify (- 0) into 0
13.213 * [backup-simplify]: Simplify (+ 0 0) into 0
13.213 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
13.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
13.215 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
13.215 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
13.215 * [backup-simplify]: Simplify (+ 0 1) into 1
13.216 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
13.216 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
13.216 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
13.216 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
13.216 * [taylor]: Taking taylor expansion of 1/2 in J
13.216 * [backup-simplify]: Simplify 1/2 into 1/2
13.216 * [taylor]: Taking taylor expansion of K in J
13.216 * [backup-simplify]: Simplify K into K
13.216 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
13.216 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
13.216 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
13.216 * [taylor]: Taking taylor expansion of J in J
13.216 * [backup-simplify]: Simplify 0 into 0
13.216 * [backup-simplify]: Simplify 1 into 1
13.216 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
13.216 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
13.217 * [backup-simplify]: Simplify (- 0) into 0
13.217 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
13.217 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
13.217 * [backup-simplify]: Simplify (+ 0) into 0
13.217 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
13.217 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
13.218 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.218 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
13.218 * [backup-simplify]: Simplify (- 0) into 0
13.219 * [backup-simplify]: Simplify (+ 0 0) into 0
13.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
13.219 * [taylor]: Taking taylor expansion of 0 in K
13.219 * [backup-simplify]: Simplify 0 into 0
13.219 * [backup-simplify]: Simplify 0 into 0
13.219 * [taylor]: Taking taylor expansion of 0 in K
13.219 * [backup-simplify]: Simplify 0 into 0
13.219 * [backup-simplify]: Simplify 0 into 0
13.220 * [backup-simplify]: Simplify (+ 0) into 0
13.220 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
13.220 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
13.221 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.221 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
13.221 * [backup-simplify]: Simplify (- 0) into 0
13.221 * [backup-simplify]: Simplify (+ 0 0) into 0
13.221 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
13.222 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
13.222 * [taylor]: Taking taylor expansion of 0 in K
13.222 * [backup-simplify]: Simplify 0 into 0
13.222 * [backup-simplify]: Simplify 0 into 0
13.222 * [backup-simplify]: Simplify 0 into 0
13.222 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
13.222 * [backup-simplify]: Simplify 0 into 0
13.223 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
13.224 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
13.225 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.225 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
13.226 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
13.227 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
13.228 * [backup-simplify]: Simplify (- 0) into 0
13.228 * [backup-simplify]: Simplify (+ 0 0) into 0
13.229 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
13.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
13.232 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
13.233 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
13.234 * [backup-simplify]: Simplify (+ 0 0) into 0
13.234 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
13.234 * [taylor]: Taking taylor expansion of 0 in J
13.234 * [backup-simplify]: Simplify 0 into 0
13.234 * [taylor]: Taking taylor expansion of 0 in K
13.234 * [backup-simplify]: Simplify 0 into 0
13.234 * [backup-simplify]: Simplify 0 into 0
13.235 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
13.235 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
13.235 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0
13.235 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
13.235 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
13.235 * [taylor]: Taking taylor expansion of 1 in K
13.236 * [backup-simplify]: Simplify 1 into 1
13.236 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
13.236 * [taylor]: Taking taylor expansion of 1/4 in K
13.236 * [backup-simplify]: Simplify 1/4 into 1/4
13.236 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
13.236 * [taylor]: Taking taylor expansion of (pow J 2) in K
13.236 * [taylor]: Taking taylor expansion of J in K
13.236 * [backup-simplify]: Simplify J into J
13.236 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
13.236 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
13.236 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
13.236 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
13.236 * [taylor]: Taking taylor expansion of -1/2 in K
13.236 * [backup-simplify]: Simplify -1/2 into -1/2
13.236 * [taylor]: Taking taylor expansion of K in K
13.236 * [backup-simplify]: Simplify 0 into 0
13.236 * [backup-simplify]: Simplify 1 into 1
13.237 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
13.237 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
13.237 * [taylor]: Taking taylor expansion of (pow U 2) in K
13.237 * [taylor]: Taking taylor expansion of U in K
13.237 * [backup-simplify]: Simplify U into U
13.237 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.237 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
13.237 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.237 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
13.238 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
13.238 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
13.238 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
13.239 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
13.239 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.239 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
13.239 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
13.239 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
13.240 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
13.241 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
13.241 * [backup-simplify]: Simplify (+ 0 0) into 0
13.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
13.242 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
13.242 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
13.242 * [taylor]: Taking taylor expansion of 1 in J
13.242 * [backup-simplify]: Simplify 1 into 1
13.242 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
13.242 * [taylor]: Taking taylor expansion of 1/4 in J
13.242 * [backup-simplify]: Simplify 1/4 into 1/4
13.242 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
13.242 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.242 * [taylor]: Taking taylor expansion of J in J
13.242 * [backup-simplify]: Simplify 0 into 0
13.242 * [backup-simplify]: Simplify 1 into 1
13.242 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
13.242 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
13.242 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
13.242 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
13.242 * [taylor]: Taking taylor expansion of -1/2 in J
13.242 * [backup-simplify]: Simplify -1/2 into -1/2
13.242 * [taylor]: Taking taylor expansion of K in J
13.242 * [backup-simplify]: Simplify K into K
13.242 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
13.242 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
13.243 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
13.243 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
13.243 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
13.243 * [backup-simplify]: Simplify (- 0) into 0
13.243 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
13.243 * [taylor]: Taking taylor expansion of (pow U 2) in J
13.243 * [taylor]: Taking taylor expansion of U in J
13.243 * [backup-simplify]: Simplify U into U
13.244 * [backup-simplify]: Simplify (* 1 1) into 1
13.244 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
13.244 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.244 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
13.244 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
13.245 * [backup-simplify]: Simplify (+ 1 0) into 1
13.245 * [backup-simplify]: Simplify (sqrt 1) into 1
13.246 * [backup-simplify]: Simplify (+ 0 0) into 0
13.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
13.246 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
13.246 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
13.246 * [taylor]: Taking taylor expansion of 1 in U
13.246 * [backup-simplify]: Simplify 1 into 1
13.246 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
13.247 * [taylor]: Taking taylor expansion of 1/4 in U
13.247 * [backup-simplify]: Simplify 1/4 into 1/4
13.247 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
13.247 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.247 * [taylor]: Taking taylor expansion of J in U
13.247 * [backup-simplify]: Simplify J into J
13.247 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
13.247 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
13.247 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
13.247 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
13.247 * [taylor]: Taking taylor expansion of -1/2 in U
13.247 * [backup-simplify]: Simplify -1/2 into -1/2
13.247 * [taylor]: Taking taylor expansion of K in U
13.247 * [backup-simplify]: Simplify K into K
13.247 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
13.247 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
13.247 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
13.247 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
13.247 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
13.248 * [backup-simplify]: Simplify (- 0) into 0
13.248 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
13.248 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.248 * [taylor]: Taking taylor expansion of U in U
13.248 * [backup-simplify]: Simplify 0 into 0
13.248 * [backup-simplify]: Simplify 1 into 1
13.248 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.248 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
13.249 * [backup-simplify]: Simplify (* 1 1) into 1
13.249 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
13.249 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
13.249 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
13.249 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
13.250 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
13.250 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.251 * [backup-simplify]: Simplify (+ 0) into 0
13.251 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
13.251 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
13.252 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.253 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
13.253 * [backup-simplify]: Simplify (- 0) into 0
13.253 * [backup-simplify]: Simplify (+ 0 0) into 0
13.254 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
13.254 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
13.254 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
13.255 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
13.255 * [backup-simplify]: Simplify (+ 0 0) into 0
13.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
13.256 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
13.256 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
13.256 * [taylor]: Taking taylor expansion of 1 in U
13.256 * [backup-simplify]: Simplify 1 into 1
13.256 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
13.256 * [taylor]: Taking taylor expansion of 1/4 in U
13.256 * [backup-simplify]: Simplify 1/4 into 1/4
13.256 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
13.256 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.256 * [taylor]: Taking taylor expansion of J in U
13.256 * [backup-simplify]: Simplify J into J
13.256 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
13.256 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
13.256 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
13.256 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
13.256 * [taylor]: Taking taylor expansion of -1/2 in U
13.256 * [backup-simplify]: Simplify -1/2 into -1/2
13.256 * [taylor]: Taking taylor expansion of K in U
13.256 * [backup-simplify]: Simplify K into K
13.256 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
13.256 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
13.256 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
13.257 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
13.257 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
13.257 * [backup-simplify]: Simplify (- 0) into 0
13.257 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
13.257 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.257 * [taylor]: Taking taylor expansion of U in U
13.257 * [backup-simplify]: Simplify 0 into 0
13.257 * [backup-simplify]: Simplify 1 into 1
13.257 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.257 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
13.258 * [backup-simplify]: Simplify (* 1 1) into 1
13.258 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
13.258 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
13.258 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
13.259 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
13.259 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
13.259 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.260 * [backup-simplify]: Simplify (+ 0) into 0
13.260 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
13.261 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
13.261 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.262 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
13.262 * [backup-simplify]: Simplify (- 0) into 0
13.263 * [backup-simplify]: Simplify (+ 0 0) into 0
13.263 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
13.263 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
13.264 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
13.264 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
13.265 * [backup-simplify]: Simplify (+ 0 0) into 0
13.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
13.265 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
13.265 * [taylor]: Taking taylor expansion of 1/2 in J
13.265 * [backup-simplify]: Simplify 1/2 into 1/2
13.265 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
13.265 * [taylor]: Taking taylor expansion of J in J
13.265 * [backup-simplify]: Simplify 0 into 0
13.265 * [backup-simplify]: Simplify 1 into 1
13.265 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
13.265 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
13.265 * [taylor]: Taking taylor expansion of -1/2 in J
13.266 * [backup-simplify]: Simplify -1/2 into -1/2
13.266 * [taylor]: Taking taylor expansion of K in J
13.266 * [backup-simplify]: Simplify K into K
13.266 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
13.266 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
13.266 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
13.266 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
13.266 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
13.266 * [backup-simplify]: Simplify (- 0) into 0
13.266 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
13.266 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
13.267 * [taylor]: Taking taylor expansion of 0 in J
13.267 * [backup-simplify]: Simplify 0 into 0
13.267 * [taylor]: Taking taylor expansion of 0 in K
13.267 * [backup-simplify]: Simplify 0 into 0
13.267 * [backup-simplify]: Simplify 0 into 0
13.267 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
13.267 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
13.267 * [taylor]: Taking taylor expansion of 1/2 in K
13.267 * [backup-simplify]: Simplify 1/2 into 1/2
13.267 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
13.267 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
13.267 * [taylor]: Taking taylor expansion of -1/2 in K
13.267 * [backup-simplify]: Simplify -1/2 into -1/2
13.267 * [taylor]: Taking taylor expansion of K in K
13.267 * [backup-simplify]: Simplify 0 into 0
13.267 * [backup-simplify]: Simplify 1 into 1
13.267 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
13.268 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
13.268 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
13.268 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
13.268 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
13.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.270 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.271 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
13.271 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
13.272 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.273 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
13.278 * [backup-simplify]: Simplify (- 0) into 0
13.278 * [backup-simplify]: Simplify (+ 0 0) into 0
13.279 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
13.280 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
13.280 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
13.281 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
13.282 * [backup-simplify]: Simplify (+ 1 0) into 1
13.283 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
13.283 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
13.283 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
13.283 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
13.283 * [taylor]: Taking taylor expansion of -1/2 in J
13.283 * [backup-simplify]: Simplify -1/2 into -1/2
13.283 * [taylor]: Taking taylor expansion of K in J
13.283 * [backup-simplify]: Simplify K into K
13.283 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
13.283 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
13.283 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
13.283 * [taylor]: Taking taylor expansion of J in J
13.283 * [backup-simplify]: Simplify 0 into 0
13.283 * [backup-simplify]: Simplify 1 into 1
13.283 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
13.283 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
13.284 * [backup-simplify]: Simplify (- 0) into 0
13.284 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
13.284 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
13.284 * [backup-simplify]: Simplify (+ 0) into 0
13.285 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
13.285 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
13.286 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.286 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
13.286 * [backup-simplify]: Simplify (- 0) into 0
13.287 * [backup-simplify]: Simplify (+ 0 0) into 0
13.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
13.288 * [taylor]: Taking taylor expansion of 0 in K
13.288 * [backup-simplify]: Simplify 0 into 0
13.288 * [backup-simplify]: Simplify 0 into 0
13.288 * [taylor]: Taking taylor expansion of 0 in K
13.288 * [backup-simplify]: Simplify 0 into 0
13.288 * [backup-simplify]: Simplify 0 into 0
13.288 * [backup-simplify]: Simplify (+ 0) into 0
13.289 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
13.289 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
13.290 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.290 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
13.290 * [backup-simplify]: Simplify (- 0) into 0
13.291 * [backup-simplify]: Simplify (+ 0 0) into 0
13.291 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
13.291 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
13.291 * [taylor]: Taking taylor expansion of 0 in K
13.291 * [backup-simplify]: Simplify 0 into 0
13.291 * [backup-simplify]: Simplify 0 into 0
13.291 * [backup-simplify]: Simplify 0 into 0
13.291 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
13.291 * [backup-simplify]: Simplify 0 into 0
13.292 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
13.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.293 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
13.294 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.294 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
13.295 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
13.296 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
13.296 * [backup-simplify]: Simplify (- 0) into 0
13.296 * [backup-simplify]: Simplify (+ 0 0) into 0
13.297 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
13.298 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
13.298 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
13.299 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
13.300 * [backup-simplify]: Simplify (+ 0 0) into 0
13.300 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
13.300 * [taylor]: Taking taylor expansion of 0 in J
13.300 * [backup-simplify]: Simplify 0 into 0
13.300 * [taylor]: Taking taylor expansion of 0 in K
13.300 * [backup-simplify]: Simplify 0 into 0
13.300 * [backup-simplify]: Simplify 0 into 0
13.300 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
13.301 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1)
13.301 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4)
13.301 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in (U J K) around 0
13.301 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in K
13.301 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K
13.301 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K
13.301 * [taylor]: Taking taylor expansion of 1/4 in K
13.301 * [backup-simplify]: Simplify 1/4 into 1/4
13.301 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
13.301 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
13.301 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
13.301 * [taylor]: Taking taylor expansion of 1/4 in K
13.301 * [backup-simplify]: Simplify 1/4 into 1/4
13.301 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
13.301 * [taylor]: Taking taylor expansion of (pow U 2) in K
13.301 * [taylor]: Taking taylor expansion of U in K
13.301 * [backup-simplify]: Simplify U into U
13.301 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
13.301 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
13.301 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
13.301 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
13.301 * [taylor]: Taking taylor expansion of 1/2 in K
13.302 * [backup-simplify]: Simplify 1/2 into 1/2
13.302 * [taylor]: Taking taylor expansion of K in K
13.302 * [backup-simplify]: Simplify 0 into 0
13.302 * [backup-simplify]: Simplify 1 into 1
13.302 * [backup-simplify]: Simplify (* 1/2 0) into 0
13.303 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
13.303 * [taylor]: Taking taylor expansion of (pow J 2) in K
13.303 * [taylor]: Taking taylor expansion of J in K
13.303 * [backup-simplify]: Simplify J into J
13.303 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.303 * [backup-simplify]: Simplify (* 1 1) into 1
13.303 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.303 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
13.303 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
13.303 * [taylor]: Taking taylor expansion of 1 in K
13.304 * [backup-simplify]: Simplify 1 into 1
13.304 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
13.304 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
13.304 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
13.304 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))
13.305 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4)
13.305 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in J
13.305 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J
13.305 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J
13.305 * [taylor]: Taking taylor expansion of 1/4 in J
13.305 * [backup-simplify]: Simplify 1/4 into 1/4
13.305 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
13.305 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
13.305 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
13.305 * [taylor]: Taking taylor expansion of 1/4 in J
13.305 * [backup-simplify]: Simplify 1/4 into 1/4
13.305 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
13.305 * [taylor]: Taking taylor expansion of (pow U 2) in J
13.305 * [taylor]: Taking taylor expansion of U in J
13.305 * [backup-simplify]: Simplify U into U
13.305 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
13.305 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
13.305 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
13.305 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
13.305 * [taylor]: Taking taylor expansion of 1/2 in J
13.305 * [backup-simplify]: Simplify 1/2 into 1/2
13.305 * [taylor]: Taking taylor expansion of K in J
13.305 * [backup-simplify]: Simplify K into K
13.305 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
13.305 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
13.305 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
13.305 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
13.305 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
13.306 * [backup-simplify]: Simplify (- 0) into 0
13.306 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
13.306 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.306 * [taylor]: Taking taylor expansion of J in J
13.306 * [backup-simplify]: Simplify 0 into 0
13.306 * [backup-simplify]: Simplify 1 into 1
13.306 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.306 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
13.307 * [backup-simplify]: Simplify (* 1 1) into 1
13.307 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
13.307 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
13.307 * [taylor]: Taking taylor expansion of 1 in J
13.307 * [backup-simplify]: Simplify 1 into 1
13.307 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
13.307 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
13.307 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))
13.308 * [backup-simplify]: Simplify (+ (* (- 2) (log J)) (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))
13.308 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))
13.309 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))))
13.309 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U
13.309 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U
13.309 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U
13.309 * [taylor]: Taking taylor expansion of 1/4 in U
13.309 * [backup-simplify]: Simplify 1/4 into 1/4
13.309 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
13.309 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
13.309 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
13.309 * [taylor]: Taking taylor expansion of 1/4 in U
13.309 * [backup-simplify]: Simplify 1/4 into 1/4
13.309 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
13.309 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.309 * [taylor]: Taking taylor expansion of U in U
13.309 * [backup-simplify]: Simplify 0 into 0
13.309 * [backup-simplify]: Simplify 1 into 1
13.309 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
13.309 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
13.309 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
13.309 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
13.309 * [taylor]: Taking taylor expansion of 1/2 in U
13.309 * [backup-simplify]: Simplify 1/2 into 1/2
13.309 * [taylor]: Taking taylor expansion of K in U
13.309 * [backup-simplify]: Simplify K into K
13.309 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
13.309 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
13.309 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
13.309 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
13.309 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
13.310 * [backup-simplify]: Simplify (- 0) into 0
13.310 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
13.310 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.310 * [taylor]: Taking taylor expansion of J in U
13.310 * [backup-simplify]: Simplify J into J
13.310 * [backup-simplify]: Simplify (* 1 1) into 1
13.311 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
13.311 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.311 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
13.311 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
13.311 * [taylor]: Taking taylor expansion of 1 in U
13.311 * [backup-simplify]: Simplify 1 into 1
13.311 * [backup-simplify]: Simplify (+ 0 1) into 1
13.312 * [backup-simplify]: Simplify (log 1) into 0
13.312 * [backup-simplify]: Simplify (* 1/4 0) into 0
13.312 * [backup-simplify]: Simplify (+ 0 0) into 0
13.314 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
13.314 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0
13.314 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
13.315 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
13.316 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
13.317 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
13.317 * [backup-simplify]: Simplify (exp 0) into 1
13.317 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U
13.317 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U
13.317 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U
13.317 * [taylor]: Taking taylor expansion of 1/4 in U
13.317 * [backup-simplify]: Simplify 1/4 into 1/4
13.317 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
13.317 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
13.317 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
13.317 * [taylor]: Taking taylor expansion of 1/4 in U
13.317 * [backup-simplify]: Simplify 1/4 into 1/4
13.317 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
13.318 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.318 * [taylor]: Taking taylor expansion of U in U
13.318 * [backup-simplify]: Simplify 0 into 0
13.318 * [backup-simplify]: Simplify 1 into 1
13.318 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
13.318 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
13.318 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
13.318 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
13.318 * [taylor]: Taking taylor expansion of 1/2 in U
13.318 * [backup-simplify]: Simplify 1/2 into 1/2
13.318 * [taylor]: Taking taylor expansion of K in U
13.318 * [backup-simplify]: Simplify K into K
13.318 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
13.318 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
13.318 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
13.318 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
13.318 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
13.319 * [backup-simplify]: Simplify (- 0) into 0
13.319 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
13.319 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.319 * [taylor]: Taking taylor expansion of J in U
13.319 * [backup-simplify]: Simplify J into J
13.319 * [backup-simplify]: Simplify (* 1 1) into 1
13.319 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
13.319 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.319 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
13.320 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
13.320 * [taylor]: Taking taylor expansion of 1 in U
13.320 * [backup-simplify]: Simplify 1 into 1
13.320 * [backup-simplify]: Simplify (+ 0 1) into 1
13.320 * [backup-simplify]: Simplify (log 1) into 0
13.321 * [backup-simplify]: Simplify (* 1/4 0) into 0
13.321 * [backup-simplify]: Simplify (+ 0 0) into 0
13.322 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
13.323 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0
13.323 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
13.323 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
13.325 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
13.326 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
13.326 * [backup-simplify]: Simplify (exp 0) into 1
13.326 * [taylor]: Taking taylor expansion of 1 in J
13.326 * [backup-simplify]: Simplify 1 into 1
13.326 * [taylor]: Taking taylor expansion of 1 in K
13.326 * [backup-simplify]: Simplify 1 into 1
13.326 * [backup-simplify]: Simplify 1 into 1
13.327 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
13.327 * [taylor]: Taking taylor expansion of 0 in J
13.327 * [backup-simplify]: Simplify 0 into 0
13.327 * [taylor]: Taking taylor expansion of 0 in K
13.327 * [backup-simplify]: Simplify 0 into 0
13.327 * [backup-simplify]: Simplify 0 into 0
13.327 * [taylor]: Taking taylor expansion of 0 in K
13.327 * [backup-simplify]: Simplify 0 into 0
13.327 * [backup-simplify]: Simplify 0 into 0
13.327 * [backup-simplify]: Simplify 0 into 0
13.328 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
13.328 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
13.328 * [taylor]: Taking taylor expansion of 1/16 in J
13.328 * [backup-simplify]: Simplify 1/16 into 1/16
13.328 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
13.328 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
13.328 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
13.328 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
13.328 * [taylor]: Taking taylor expansion of 1/2 in J
13.328 * [backup-simplify]: Simplify 1/2 into 1/2
13.328 * [taylor]: Taking taylor expansion of K in J
13.328 * [backup-simplify]: Simplify K into K
13.329 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
13.329 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
13.329 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
13.329 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
13.329 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
13.329 * [backup-simplify]: Simplify (- 0) into 0
13.329 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
13.329 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.329 * [taylor]: Taking taylor expansion of J in J
13.329 * [backup-simplify]: Simplify 0 into 0
13.329 * [backup-simplify]: Simplify 1 into 1
13.329 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
13.330 * [backup-simplify]: Simplify (* 1 1) into 1
13.330 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
13.330 * [backup-simplify]: Simplify (/ 1/16 (pow (cos (* 1/2 K)) 2)) into (/ 1/16 (pow (cos (* 1/2 K)) 2))
13.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.331 * [backup-simplify]: Simplify (+ 0) into 0
13.332 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
13.332 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
13.333 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.333 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
13.333 * [backup-simplify]: Simplify (- 0) into 0
13.334 * [backup-simplify]: Simplify (+ 0 0) into 0
13.334 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
13.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.335 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.336 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
13.337 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
13.338 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.339 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
13.339 * [backup-simplify]: Simplify (- 0) into 0
13.340 * [backup-simplify]: Simplify (+ 0 0) into 0
13.340 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
13.341 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
13.341 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
13.342 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
13.342 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
13.342 * [taylor]: Taking taylor expansion of 0 in K
13.342 * [backup-simplify]: Simplify 0 into 0
13.342 * [backup-simplify]: Simplify 0 into 0
13.342 * [taylor]: Taking taylor expansion of 0 in K
13.342 * [backup-simplify]: Simplify 0 into 0
13.343 * [backup-simplify]: Simplify 0 into 0
13.343 * [taylor]: Taking taylor expansion of 0 in K
13.343 * [backup-simplify]: Simplify 0 into 0
13.343 * [backup-simplify]: Simplify 0 into 0
13.343 * [backup-simplify]: Simplify 1 into 1
13.343 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4)
13.344 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in (U J K) around 0
13.344 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in K
13.344 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K
13.344 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K
13.344 * [taylor]: Taking taylor expansion of 1/4 in K
13.344 * [backup-simplify]: Simplify 1/4 into 1/4
13.344 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
13.344 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
13.344 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
13.344 * [taylor]: Taking taylor expansion of 1/4 in K
13.344 * [backup-simplify]: Simplify 1/4 into 1/4
13.344 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
13.344 * [taylor]: Taking taylor expansion of (pow J 2) in K
13.344 * [taylor]: Taking taylor expansion of J in K
13.344 * [backup-simplify]: Simplify J into J
13.344 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
13.344 * [taylor]: Taking taylor expansion of (pow U 2) in K
13.344 * [taylor]: Taking taylor expansion of U in K
13.344 * [backup-simplify]: Simplify U into U
13.344 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
13.344 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
13.344 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
13.344 * [taylor]: Taking taylor expansion of 1/2 in K
13.344 * [backup-simplify]: Simplify 1/2 into 1/2
13.344 * [taylor]: Taking taylor expansion of K in K
13.344 * [backup-simplify]: Simplify 0 into 0
13.344 * [backup-simplify]: Simplify 1 into 1
13.345 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
13.345 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
13.345 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.345 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.345 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
13.345 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
13.346 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
13.346 * [taylor]: Taking taylor expansion of 1 in K
13.346 * [backup-simplify]: Simplify 1 into 1
13.346 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
13.346 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
13.347 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
13.347 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))
13.347 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4)
13.348 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in J
13.348 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J
13.348 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J
13.348 * [taylor]: Taking taylor expansion of 1/4 in J
13.348 * [backup-simplify]: Simplify 1/4 into 1/4
13.348 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
13.348 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
13.348 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
13.348 * [taylor]: Taking taylor expansion of 1/4 in J
13.348 * [backup-simplify]: Simplify 1/4 into 1/4
13.348 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
13.348 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.348 * [taylor]: Taking taylor expansion of J in J
13.348 * [backup-simplify]: Simplify 0 into 0
13.348 * [backup-simplify]: Simplify 1 into 1
13.348 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
13.348 * [taylor]: Taking taylor expansion of (pow U 2) in J
13.348 * [taylor]: Taking taylor expansion of U in J
13.348 * [backup-simplify]: Simplify U into U
13.348 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
13.348 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
13.348 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
13.348 * [taylor]: Taking taylor expansion of 1/2 in J
13.348 * [backup-simplify]: Simplify 1/2 into 1/2
13.348 * [taylor]: Taking taylor expansion of K in J
13.348 * [backup-simplify]: Simplify K into K
13.348 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
13.348 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
13.348 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
13.348 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
13.349 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
13.349 * [backup-simplify]: Simplify (- 0) into 0
13.349 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
13.350 * [backup-simplify]: Simplify (* 1 1) into 1
13.350 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.350 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
13.350 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
13.350 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
13.350 * [taylor]: Taking taylor expansion of 1 in J
13.350 * [backup-simplify]: Simplify 1 into 1
13.351 * [backup-simplify]: Simplify (+ 0 1) into 1
13.351 * [backup-simplify]: Simplify (log 1) into 0
13.351 * [backup-simplify]: Simplify (* 1/4 0) into 0
13.352 * [backup-simplify]: Simplify (+ 0 0) into 0
13.352 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
13.353 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0
13.353 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
13.353 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
13.354 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
13.355 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
13.355 * [backup-simplify]: Simplify (exp 0) into 1
13.355 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U
13.355 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U
13.355 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U
13.355 * [taylor]: Taking taylor expansion of 1/4 in U
13.355 * [backup-simplify]: Simplify 1/4 into 1/4
13.355 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
13.355 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
13.355 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
13.355 * [taylor]: Taking taylor expansion of 1/4 in U
13.355 * [backup-simplify]: Simplify 1/4 into 1/4
13.355 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
13.355 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.355 * [taylor]: Taking taylor expansion of J in U
13.355 * [backup-simplify]: Simplify J into J
13.355 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
13.355 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.355 * [taylor]: Taking taylor expansion of U in U
13.355 * [backup-simplify]: Simplify 0 into 0
13.355 * [backup-simplify]: Simplify 1 into 1
13.355 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
13.355 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
13.355 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
13.355 * [taylor]: Taking taylor expansion of 1/2 in U
13.355 * [backup-simplify]: Simplify 1/2 into 1/2
13.355 * [taylor]: Taking taylor expansion of K in U
13.355 * [backup-simplify]: Simplify K into K
13.355 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
13.355 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
13.355 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
13.355 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
13.356 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
13.356 * [backup-simplify]: Simplify (- 0) into 0
13.356 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
13.356 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.356 * [backup-simplify]: Simplify (* 1 1) into 1
13.356 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
13.356 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
13.356 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
13.356 * [taylor]: Taking taylor expansion of 1 in U
13.356 * [backup-simplify]: Simplify 1 into 1
13.357 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
13.357 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
13.357 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))
13.357 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))
13.357 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))
13.358 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))
13.358 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U
13.358 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U
13.358 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U
13.358 * [taylor]: Taking taylor expansion of 1/4 in U
13.358 * [backup-simplify]: Simplify 1/4 into 1/4
13.358 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
13.358 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
13.358 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
13.358 * [taylor]: Taking taylor expansion of 1/4 in U
13.358 * [backup-simplify]: Simplify 1/4 into 1/4
13.358 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
13.358 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.358 * [taylor]: Taking taylor expansion of J in U
13.358 * [backup-simplify]: Simplify J into J
13.358 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
13.358 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.358 * [taylor]: Taking taylor expansion of U in U
13.358 * [backup-simplify]: Simplify 0 into 0
13.358 * [backup-simplify]: Simplify 1 into 1
13.358 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
13.358 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
13.358 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
13.358 * [taylor]: Taking taylor expansion of 1/2 in U
13.358 * [backup-simplify]: Simplify 1/2 into 1/2
13.358 * [taylor]: Taking taylor expansion of K in U
13.358 * [backup-simplify]: Simplify K into K
13.358 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
13.358 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
13.358 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
13.358 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
13.358 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
13.359 * [backup-simplify]: Simplify (- 0) into 0
13.359 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
13.359 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.359 * [backup-simplify]: Simplify (* 1 1) into 1
13.359 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
13.359 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
13.359 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
13.359 * [taylor]: Taking taylor expansion of 1 in U
13.359 * [backup-simplify]: Simplify 1 into 1
13.359 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
13.360 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
13.360 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))
13.360 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))
13.360 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))
13.360 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))
13.361 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J
13.361 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J
13.361 * [taylor]: Taking taylor expansion of 1/4 in J
13.361 * [backup-simplify]: Simplify 1/4 into 1/4
13.361 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J
13.361 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J
13.361 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J
13.361 * [taylor]: Taking taylor expansion of 1/4 in J
13.361 * [backup-simplify]: Simplify 1/4 into 1/4
13.361 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J
13.361 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.361 * [taylor]: Taking taylor expansion of J in J
13.361 * [backup-simplify]: Simplify 0 into 0
13.361 * [backup-simplify]: Simplify 1 into 1
13.361 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
13.361 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
13.361 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
13.361 * [taylor]: Taking taylor expansion of 1/2 in J
13.361 * [backup-simplify]: Simplify 1/2 into 1/2
13.361 * [taylor]: Taking taylor expansion of K in J
13.361 * [backup-simplify]: Simplify K into K
13.361 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
13.361 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
13.361 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
13.361 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
13.361 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
13.361 * [backup-simplify]: Simplify (- 0) into 0
13.361 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
13.362 * [backup-simplify]: Simplify (* 1 1) into 1
13.362 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
13.362 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2))
13.362 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
13.362 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))
13.362 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J
13.362 * [taylor]: Taking taylor expansion of 2 in J
13.362 * [backup-simplify]: Simplify 2 into 2
13.362 * [taylor]: Taking taylor expansion of (log U) in J
13.362 * [taylor]: Taking taylor expansion of U in J
13.362 * [backup-simplify]: Simplify U into U
13.362 * [backup-simplify]: Simplify (log U) into (log U)
13.363 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))))
13.363 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U))
13.363 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U)))
13.363 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))
13.363 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))
13.363 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))
13.363 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K
13.363 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K
13.363 * [taylor]: Taking taylor expansion of 1/4 in K
13.363 * [backup-simplify]: Simplify 1/4 into 1/4
13.363 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K
13.363 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) in K
13.363 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K
13.363 * [taylor]: Taking taylor expansion of 2 in K
13.363 * [backup-simplify]: Simplify 2 into 2
13.363 * [taylor]: Taking taylor expansion of (log J) in K
13.363 * [taylor]: Taking taylor expansion of J in K
13.363 * [backup-simplify]: Simplify J into J
13.364 * [backup-simplify]: Simplify (log J) into (log J)
13.364 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) in K
13.364 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K
13.364 * [taylor]: Taking taylor expansion of 1/4 in K
13.364 * [backup-simplify]: Simplify 1/4 into 1/4
13.364 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
13.364 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
13.364 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
13.364 * [taylor]: Taking taylor expansion of 1/2 in K
13.364 * [backup-simplify]: Simplify 1/2 into 1/2
13.364 * [taylor]: Taking taylor expansion of K in K
13.364 * [backup-simplify]: Simplify 0 into 0
13.364 * [backup-simplify]: Simplify 1 into 1
13.364 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
13.364 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
13.364 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
13.364 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
13.364 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))
13.364 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K
13.364 * [taylor]: Taking taylor expansion of 2 in K
13.364 * [backup-simplify]: Simplify 2 into 2
13.364 * [taylor]: Taking taylor expansion of (log U) in K
13.364 * [taylor]: Taking taylor expansion of U in K
13.364 * [backup-simplify]: Simplify U into U
13.364 * [backup-simplify]: Simplify (log U) into (log U)
13.364 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J))
13.365 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))))
13.365 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U))
13.365 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U)))
13.365 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))
13.365 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))
13.365 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))
13.365 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))
13.365 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.366 * [backup-simplify]: Simplify (+ 0) into 0
13.366 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
13.366 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
13.367 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.367 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
13.367 * [backup-simplify]: Simplify (- 0) into 0
13.368 * [backup-simplify]: Simplify (+ 0 0) into 0
13.368 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
13.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
13.369 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
13.369 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
13.369 * [backup-simplify]: Simplify (+ 0 0) into 0
13.370 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0
13.370 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))
13.371 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0
13.371 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.372 * [taylor]: Taking taylor expansion of 0 in J
13.372 * [backup-simplify]: Simplify 0 into 0
13.372 * [taylor]: Taking taylor expansion of 0 in K
13.372 * [backup-simplify]: Simplify 0 into 0
13.372 * [backup-simplify]: Simplify 0 into 0
13.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.372 * [backup-simplify]: Simplify (+ 0) into 0
13.373 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
13.373 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
13.373 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.374 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
13.374 * [backup-simplify]: Simplify (- 0) into 0
13.374 * [backup-simplify]: Simplify (+ 0 0) into 0
13.374 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
13.374 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
13.375 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0
13.375 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0
13.376 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
13.376 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0
13.376 * [backup-simplify]: Simplify (- 0) into 0
13.377 * [backup-simplify]: Simplify (+ 0 0) into 0
13.377 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0
13.378 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.378 * [taylor]: Taking taylor expansion of 0 in K
13.378 * [backup-simplify]: Simplify 0 into 0
13.378 * [backup-simplify]: Simplify 0 into 0
13.378 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
13.379 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0
13.379 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
13.379 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
13.380 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0
13.381 * [backup-simplify]: Simplify (+ 0 0) into 0
13.381 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
13.382 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0
13.382 * [backup-simplify]: Simplify (- 0) into 0
13.383 * [backup-simplify]: Simplify (+ 0 0) into 0
13.383 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0
13.385 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.385 * [backup-simplify]: Simplify 0 into 0
13.385 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
13.386 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.387 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
13.387 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
13.388 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.388 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
13.389 * [backup-simplify]: Simplify (- 0) into 0
13.389 * [backup-simplify]: Simplify (+ 0 0) into 0
13.390 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
13.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
13.392 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
13.393 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
13.394 * [backup-simplify]: Simplify (+ 0 1) into 1
13.396 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))
13.397 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))
13.397 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))
13.399 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))
13.399 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J
13.399 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J
13.399 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J
13.399 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J
13.399 * [taylor]: Taking taylor expansion of 1/4 in J
13.399 * [backup-simplify]: Simplify 1/4 into 1/4
13.399 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J
13.399 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J
13.399 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J
13.399 * [taylor]: Taking taylor expansion of 1/4 in J
13.399 * [backup-simplify]: Simplify 1/4 into 1/4
13.399 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J
13.399 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.399 * [taylor]: Taking taylor expansion of J in J
13.399 * [backup-simplify]: Simplify 0 into 0
13.399 * [backup-simplify]: Simplify 1 into 1
13.399 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
13.399 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
13.399 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
13.399 * [taylor]: Taking taylor expansion of 1/2 in J
13.399 * [backup-simplify]: Simplify 1/2 into 1/2
13.399 * [taylor]: Taking taylor expansion of K in J
13.399 * [backup-simplify]: Simplify K into K
13.399 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
13.399 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
13.399 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
13.399 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
13.399 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
13.400 * [backup-simplify]: Simplify (- 0) into 0
13.400 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
13.400 * [backup-simplify]: Simplify (* 1 1) into 1
13.400 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
13.400 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2))
13.400 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
13.400 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))
13.400 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J
13.400 * [taylor]: Taking taylor expansion of 2 in J
13.400 * [backup-simplify]: Simplify 2 into 2
13.400 * [taylor]: Taking taylor expansion of (log U) in J
13.400 * [taylor]: Taking taylor expansion of U in J
13.400 * [backup-simplify]: Simplify U into U
13.400 * [backup-simplify]: Simplify (log U) into (log U)
13.401 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))))
13.401 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U))
13.401 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U)))
13.401 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))
13.401 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))
13.401 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))
13.401 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
13.401 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
13.401 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
13.401 * [taylor]: Taking taylor expansion of 1/2 in J
13.401 * [backup-simplify]: Simplify 1/2 into 1/2
13.402 * [taylor]: Taking taylor expansion of K in J
13.402 * [backup-simplify]: Simplify K into K
13.402 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
13.402 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
13.402 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
13.402 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
13.402 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
13.402 * [backup-simplify]: Simplify (- 0) into 0
13.402 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
13.402 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.402 * [taylor]: Taking taylor expansion of J in J
13.402 * [backup-simplify]: Simplify 0 into 0
13.402 * [backup-simplify]: Simplify 1 into 1
13.402 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
13.403 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2))
13.403 * [backup-simplify]: Simplify (* 1 1) into 1
13.403 * [backup-simplify]: Simplify (/ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2))
13.403 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
13.407 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.408 * [backup-simplify]: Simplify (+ 0) into 0
13.408 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
13.409 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
13.409 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.410 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.410 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
13.410 * [backup-simplify]: Simplify (- 0) into 0
13.411 * [backup-simplify]: Simplify (+ 0 0) into 0
13.411 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
13.411 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
13.411 * [backup-simplify]: Simplify (- 0) into 0
13.412 * [backup-simplify]: Simplify (+ 0 0) into 0
13.412 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
13.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.413 * [backup-simplify]: Simplify (+ 0) into 0
13.413 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
13.413 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
13.414 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.414 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
13.414 * [backup-simplify]: Simplify (- 0) into 0
13.414 * [backup-simplify]: Simplify (+ 0 0) into 0
13.414 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
13.415 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
13.415 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0
13.416 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0
13.416 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
13.416 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0
13.417 * [backup-simplify]: Simplify (- 0) into 0
13.417 * [backup-simplify]: Simplify (+ 0 0) into 0
13.417 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0
13.418 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.418 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
13.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.420 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.421 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
13.421 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
13.422 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.422 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
13.422 * [backup-simplify]: Simplify (- 0) into 0
13.423 * [backup-simplify]: Simplify (+ 0 0) into 0
13.423 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
13.424 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
13.425 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0
13.427 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0
13.429 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
13.430 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0
13.430 * [backup-simplify]: Simplify (- 0) into 0
13.431 * [backup-simplify]: Simplify (+ 0 0) into 0
13.432 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0
13.433 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.434 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
13.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.436 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
13.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0
13.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.440 * [taylor]: Taking taylor expansion of 0 in K
13.440 * [backup-simplify]: Simplify 0 into 0
13.440 * [backup-simplify]: Simplify 0 into 0
13.440 * [taylor]: Taking taylor expansion of 0 in K
13.440 * [backup-simplify]: Simplify 0 into 0
13.440 * [backup-simplify]: Simplify 0 into 0
13.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.442 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.443 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
13.443 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
13.444 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.444 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
13.445 * [backup-simplify]: Simplify (- 0) into 0
13.445 * [backup-simplify]: Simplify (+ 0 0) into 0
13.446 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
13.446 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
13.447 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0
13.449 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0
13.451 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
13.452 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0
13.453 * [backup-simplify]: Simplify (- 0) into 0
13.453 * [backup-simplify]: Simplify (+ 0 0) into 0
13.454 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0
13.456 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.456 * [taylor]: Taking taylor expansion of 0 in K
13.456 * [backup-simplify]: Simplify 0 into 0
13.456 * [backup-simplify]: Simplify 0 into 0
13.457 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U))))))
13.457 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4)
13.457 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in (U J K) around 0
13.457 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in K
13.457 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K
13.457 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K
13.457 * [taylor]: Taking taylor expansion of 1/4 in K
13.457 * [backup-simplify]: Simplify 1/4 into 1/4
13.458 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
13.458 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
13.458 * [taylor]: Taking taylor expansion of 1 in K
13.458 * [backup-simplify]: Simplify 1 into 1
13.458 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
13.458 * [taylor]: Taking taylor expansion of 1/4 in K
13.458 * [backup-simplify]: Simplify 1/4 into 1/4
13.458 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
13.458 * [taylor]: Taking taylor expansion of (pow J 2) in K
13.458 * [taylor]: Taking taylor expansion of J in K
13.458 * [backup-simplify]: Simplify J into J
13.458 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
13.458 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
13.458 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
13.458 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
13.458 * [taylor]: Taking taylor expansion of -1/2 in K
13.458 * [backup-simplify]: Simplify -1/2 into -1/2
13.458 * [taylor]: Taking taylor expansion of K in K
13.458 * [backup-simplify]: Simplify 0 into 0
13.458 * [backup-simplify]: Simplify 1 into 1
13.459 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
13.459 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
13.459 * [taylor]: Taking taylor expansion of (pow U 2) in K
13.459 * [taylor]: Taking taylor expansion of U in K
13.459 * [backup-simplify]: Simplify U into U
13.459 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.459 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
13.459 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.459 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
13.459 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
13.460 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
13.460 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
13.460 * [backup-simplify]: Simplify (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
13.461 * [backup-simplify]: Simplify (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))
13.461 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4)
13.461 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in J
13.461 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J
13.461 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J
13.461 * [taylor]: Taking taylor expansion of 1/4 in J
13.461 * [backup-simplify]: Simplify 1/4 into 1/4
13.461 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
13.461 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
13.461 * [taylor]: Taking taylor expansion of 1 in J
13.461 * [backup-simplify]: Simplify 1 into 1
13.461 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
13.461 * [taylor]: Taking taylor expansion of 1/4 in J
13.461 * [backup-simplify]: Simplify 1/4 into 1/4
13.461 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
13.461 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.462 * [taylor]: Taking taylor expansion of J in J
13.462 * [backup-simplify]: Simplify 0 into 0
13.462 * [backup-simplify]: Simplify 1 into 1
13.462 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
13.462 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
13.462 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
13.462 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
13.462 * [taylor]: Taking taylor expansion of -1/2 in J
13.462 * [backup-simplify]: Simplify -1/2 into -1/2
13.462 * [taylor]: Taking taylor expansion of K in J
13.462 * [backup-simplify]: Simplify K into K
13.462 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
13.462 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
13.462 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
13.462 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
13.462 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
13.463 * [backup-simplify]: Simplify (- 0) into 0
13.463 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
13.463 * [taylor]: Taking taylor expansion of (pow U 2) in J
13.463 * [taylor]: Taking taylor expansion of U in J
13.463 * [backup-simplify]: Simplify U into U
13.463 * [backup-simplify]: Simplify (* 1 1) into 1
13.464 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
13.464 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.464 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
13.464 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
13.464 * [backup-simplify]: Simplify (+ 1 0) into 1
13.465 * [backup-simplify]: Simplify (log 1) into 0
13.465 * [backup-simplify]: Simplify (* 1/4 0) into 0
13.466 * [backup-simplify]: Simplify (+ 0 0) into 0
13.467 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
13.468 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0
13.468 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
13.468 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
13.471 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
13.471 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
13.471 * [backup-simplify]: Simplify (exp 0) into 1
13.471 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U
13.471 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
13.471 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
13.471 * [taylor]: Taking taylor expansion of 1/4 in U
13.471 * [backup-simplify]: Simplify 1/4 into 1/4
13.472 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
13.472 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
13.472 * [taylor]: Taking taylor expansion of 1 in U
13.472 * [backup-simplify]: Simplify 1 into 1
13.472 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
13.472 * [taylor]: Taking taylor expansion of 1/4 in U
13.472 * [backup-simplify]: Simplify 1/4 into 1/4
13.472 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
13.472 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.472 * [taylor]: Taking taylor expansion of J in U
13.472 * [backup-simplify]: Simplify J into J
13.472 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
13.472 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
13.472 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
13.472 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
13.472 * [taylor]: Taking taylor expansion of -1/2 in U
13.472 * [backup-simplify]: Simplify -1/2 into -1/2
13.472 * [taylor]: Taking taylor expansion of K in U
13.472 * [backup-simplify]: Simplify K into K
13.472 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
13.472 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
13.472 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
13.472 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
13.472 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
13.473 * [backup-simplify]: Simplify (- 0) into 0
13.473 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
13.473 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.473 * [taylor]: Taking taylor expansion of U in U
13.473 * [backup-simplify]: Simplify 0 into 0
13.473 * [backup-simplify]: Simplify 1 into 1
13.473 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.473 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
13.473 * [backup-simplify]: Simplify (* 1 1) into 1
13.474 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
13.474 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
13.474 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
13.474 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
13.474 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))
13.475 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))
13.475 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))
13.476 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))
13.476 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U
13.476 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
13.476 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
13.476 * [taylor]: Taking taylor expansion of 1/4 in U
13.476 * [backup-simplify]: Simplify 1/4 into 1/4
13.476 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
13.476 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
13.476 * [taylor]: Taking taylor expansion of 1 in U
13.476 * [backup-simplify]: Simplify 1 into 1
13.476 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
13.476 * [taylor]: Taking taylor expansion of 1/4 in U
13.476 * [backup-simplify]: Simplify 1/4 into 1/4
13.476 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
13.476 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.476 * [taylor]: Taking taylor expansion of J in U
13.476 * [backup-simplify]: Simplify J into J
13.476 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
13.476 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
13.476 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
13.476 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
13.476 * [taylor]: Taking taylor expansion of -1/2 in U
13.476 * [backup-simplify]: Simplify -1/2 into -1/2
13.476 * [taylor]: Taking taylor expansion of K in U
13.477 * [backup-simplify]: Simplify K into K
13.477 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
13.477 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
13.477 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
13.477 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
13.477 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
13.477 * [backup-simplify]: Simplify (- 0) into 0
13.477 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
13.477 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.478 * [taylor]: Taking taylor expansion of U in U
13.478 * [backup-simplify]: Simplify 0 into 0
13.478 * [backup-simplify]: Simplify 1 into 1
13.478 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.478 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
13.478 * [backup-simplify]: Simplify (* 1 1) into 1
13.478 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
13.478 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
13.479 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
13.479 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
13.479 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))
13.480 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))
13.480 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))
13.480 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))
13.480 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J
13.480 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J
13.480 * [taylor]: Taking taylor expansion of 1/4 in J
13.480 * [backup-simplify]: Simplify 1/4 into 1/4
13.480 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J
13.481 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J
13.481 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J
13.481 * [taylor]: Taking taylor expansion of 1/4 in J
13.481 * [backup-simplify]: Simplify 1/4 into 1/4
13.481 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J
13.481 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.481 * [taylor]: Taking taylor expansion of J in J
13.481 * [backup-simplify]: Simplify 0 into 0
13.481 * [backup-simplify]: Simplify 1 into 1
13.481 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
13.481 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
13.481 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
13.481 * [taylor]: Taking taylor expansion of -1/2 in J
13.481 * [backup-simplify]: Simplify -1/2 into -1/2
13.481 * [taylor]: Taking taylor expansion of K in J
13.481 * [backup-simplify]: Simplify K into K
13.481 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
13.481 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
13.481 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
13.481 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
13.481 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
13.482 * [backup-simplify]: Simplify (- 0) into 0
13.482 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
13.482 * [backup-simplify]: Simplify (* 1 1) into 1
13.482 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
13.483 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2))
13.483 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
13.483 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))
13.483 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J
13.483 * [taylor]: Taking taylor expansion of 2 in J
13.483 * [backup-simplify]: Simplify 2 into 2
13.483 * [taylor]: Taking taylor expansion of (log U) in J
13.483 * [taylor]: Taking taylor expansion of U in J
13.483 * [backup-simplify]: Simplify U into U
13.483 * [backup-simplify]: Simplify (log U) into (log U)
13.484 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))))
13.484 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U))
13.484 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U)))
13.484 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))
13.484 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))
13.485 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))
13.485 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K
13.485 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K
13.485 * [taylor]: Taking taylor expansion of 1/4 in K
13.485 * [backup-simplify]: Simplify 1/4 into 1/4
13.485 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K
13.485 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) in K
13.485 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K
13.485 * [taylor]: Taking taylor expansion of 2 in K
13.485 * [backup-simplify]: Simplify 2 into 2
13.485 * [taylor]: Taking taylor expansion of (log J) in K
13.485 * [taylor]: Taking taylor expansion of J in K
13.485 * [backup-simplify]: Simplify J into J
13.485 * [backup-simplify]: Simplify (log J) into (log J)
13.485 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) in K
13.485 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K
13.485 * [taylor]: Taking taylor expansion of 1/4 in K
13.485 * [backup-simplify]: Simplify 1/4 into 1/4
13.485 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
13.485 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
13.485 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
13.485 * [taylor]: Taking taylor expansion of -1/2 in K
13.486 * [backup-simplify]: Simplify -1/2 into -1/2
13.486 * [taylor]: Taking taylor expansion of K in K
13.486 * [backup-simplify]: Simplify 0 into 0
13.486 * [backup-simplify]: Simplify 1 into 1
13.486 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
13.486 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
13.487 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
13.487 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
13.487 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))
13.487 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K
13.487 * [taylor]: Taking taylor expansion of 2 in K
13.487 * [backup-simplify]: Simplify 2 into 2
13.487 * [taylor]: Taking taylor expansion of (log U) in K
13.487 * [taylor]: Taking taylor expansion of U in K
13.487 * [backup-simplify]: Simplify U into U
13.487 * [backup-simplify]: Simplify (log U) into (log U)
13.487 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J))
13.487 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))))
13.487 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U))
13.487 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U)))
13.488 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))
13.488 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))
13.488 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))
13.489 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))
13.489 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.490 * [backup-simplify]: Simplify (+ 0) into 0
13.491 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
13.491 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
13.492 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.492 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
13.493 * [backup-simplify]: Simplify (- 0) into 0
13.493 * [backup-simplify]: Simplify (+ 0 0) into 0
13.493 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
13.494 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
13.494 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
13.495 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
13.495 * [backup-simplify]: Simplify (+ 0 0) into 0
13.496 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0
13.497 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))
13.498 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0
13.499 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.499 * [taylor]: Taking taylor expansion of 0 in J
13.499 * [backup-simplify]: Simplify 0 into 0
13.499 * [taylor]: Taking taylor expansion of 0 in K
13.499 * [backup-simplify]: Simplify 0 into 0
13.499 * [backup-simplify]: Simplify 0 into 0
13.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.500 * [backup-simplify]: Simplify (+ 0) into 0
13.501 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
13.501 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
13.502 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.502 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
13.503 * [backup-simplify]: Simplify (- 0) into 0
13.503 * [backup-simplify]: Simplify (+ 0 0) into 0
13.503 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
13.504 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
13.504 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0
13.505 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0
13.506 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
13.507 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0
13.507 * [backup-simplify]: Simplify (- 0) into 0
13.507 * [backup-simplify]: Simplify (+ 0 0) into 0
13.508 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0
13.509 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.510 * [taylor]: Taking taylor expansion of 0 in K
13.510 * [backup-simplify]: Simplify 0 into 0
13.510 * [backup-simplify]: Simplify 0 into 0
13.511 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
13.511 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0
13.511 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
13.512 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
13.513 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0
13.513 * [backup-simplify]: Simplify (+ 0 0) into 0
13.514 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
13.515 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0
13.515 * [backup-simplify]: Simplify (- 0) into 0
13.515 * [backup-simplify]: Simplify (+ 0 0) into 0
13.516 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0
13.517 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.517 * [backup-simplify]: Simplify 0 into 0
13.518 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
13.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.520 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.521 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
13.521 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
13.522 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.522 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
13.523 * [backup-simplify]: Simplify (- 0) into 0
13.523 * [backup-simplify]: Simplify (+ 0 0) into 0
13.524 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
13.525 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
13.525 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
13.526 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
13.527 * [backup-simplify]: Simplify (+ 1 0) into 1
13.529 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))
13.530 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))
13.531 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))
13.532 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))
13.532 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J
13.532 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J
13.532 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
13.532 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
13.532 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
13.532 * [taylor]: Taking taylor expansion of -1/2 in J
13.532 * [backup-simplify]: Simplify -1/2 into -1/2
13.532 * [taylor]: Taking taylor expansion of K in J
13.532 * [backup-simplify]: Simplify K into K
13.532 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
13.532 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
13.533 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
13.533 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
13.533 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
13.533 * [backup-simplify]: Simplify (- 0) into 0
13.533 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
13.533 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J
13.533 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J
13.533 * [taylor]: Taking taylor expansion of 1/4 in J
13.533 * [backup-simplify]: Simplify 1/4 into 1/4
13.533 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J
13.533 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J
13.533 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J
13.534 * [taylor]: Taking taylor expansion of 1/4 in J
13.534 * [backup-simplify]: Simplify 1/4 into 1/4
13.534 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J
13.534 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.534 * [taylor]: Taking taylor expansion of J in J
13.534 * [backup-simplify]: Simplify 0 into 0
13.534 * [backup-simplify]: Simplify 1 into 1
13.534 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
13.534 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
13.534 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
13.534 * [taylor]: Taking taylor expansion of -1/2 in J
13.534 * [backup-simplify]: Simplify -1/2 into -1/2
13.534 * [taylor]: Taking taylor expansion of K in J
13.534 * [backup-simplify]: Simplify K into K
13.534 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
13.534 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
13.534 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
13.534 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
13.534 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
13.535 * [backup-simplify]: Simplify (- 0) into 0
13.535 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
13.535 * [backup-simplify]: Simplify (* 1 1) into 1
13.535 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
13.536 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2))
13.536 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
13.536 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))
13.536 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J
13.536 * [taylor]: Taking taylor expansion of 2 in J
13.536 * [backup-simplify]: Simplify 2 into 2
13.536 * [taylor]: Taking taylor expansion of (log U) in J
13.536 * [taylor]: Taking taylor expansion of U in J
13.536 * [backup-simplify]: Simplify U into U
13.536 * [backup-simplify]: Simplify (log U) into (log U)
13.537 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))))
13.537 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U))
13.537 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U)))
13.537 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))
13.537 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))
13.538 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))
13.538 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.538 * [taylor]: Taking taylor expansion of J in J
13.538 * [backup-simplify]: Simplify 0 into 0
13.538 * [backup-simplify]: Simplify 1 into 1
13.538 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
13.538 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))
13.539 * [backup-simplify]: Simplify (* 1 1) into 1
13.540 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))
13.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.541 * [backup-simplify]: Simplify (+ 0) into 0
13.541 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
13.542 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
13.543 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.543 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
13.543 * [backup-simplify]: Simplify (- 0) into 0
13.544 * [backup-simplify]: Simplify (+ 0 0) into 0
13.544 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
13.544 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
13.545 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0
13.546 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0
13.547 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
13.547 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0
13.548 * [backup-simplify]: Simplify (- 0) into 0
13.548 * [backup-simplify]: Simplify (+ 0 0) into 0
13.549 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0
13.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.551 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.552 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
13.552 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
13.553 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.553 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
13.554 * [backup-simplify]: Simplify (- 0) into 0
13.554 * [backup-simplify]: Simplify (+ 0 0) into 0
13.555 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
13.556 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
13.557 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0
13.559 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0
13.566 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
13.567 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0
13.567 * [backup-simplify]: Simplify (- 0) into 0
13.568 * [backup-simplify]: Simplify (+ 0 0) into 0
13.569 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0
13.571 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.571 * [backup-simplify]: Simplify (+ 0) into 0
13.572 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
13.572 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
13.573 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.573 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
13.574 * [backup-simplify]: Simplify (- 0) into 0
13.574 * [backup-simplify]: Simplify (+ 0 0) into 0
13.574 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
13.576 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.577 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.577 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
13.578 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
13.578 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.579 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
13.579 * [backup-simplify]: Simplify (- 0) into 0
13.580 * [backup-simplify]: Simplify (+ 0 0) into 0
13.580 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
13.581 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0
13.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.583 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0
13.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0
13.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.587 * [taylor]: Taking taylor expansion of 0 in K
13.587 * [backup-simplify]: Simplify 0 into 0
13.587 * [backup-simplify]: Simplify 0 into 0
13.587 * [taylor]: Taking taylor expansion of 0 in K
13.587 * [backup-simplify]: Simplify 0 into 0
13.587 * [backup-simplify]: Simplify 0 into 0
13.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.589 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.590 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
13.590 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
13.591 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.591 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
13.592 * [backup-simplify]: Simplify (- 0) into 0
13.592 * [backup-simplify]: Simplify (+ 0 0) into 0
13.592 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
13.593 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
13.594 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0
13.596 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0
13.598 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
13.598 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0
13.599 * [backup-simplify]: Simplify (- 0) into 0
13.599 * [backup-simplify]: Simplify (+ 0 0) into 0
13.600 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0
13.602 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.602 * [taylor]: Taking taylor expansion of 0 in K
13.602 * [backup-simplify]: Simplify 0 into 0
13.602 * [backup-simplify]: Simplify 0 into 0
13.602 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U))))))
13.602 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
13.603 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4)
13.603 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in (U J K) around 0
13.603 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in K
13.603 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K
13.603 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K
13.603 * [taylor]: Taking taylor expansion of 1/4 in K
13.603 * [backup-simplify]: Simplify 1/4 into 1/4
13.603 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
13.603 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
13.603 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
13.603 * [taylor]: Taking taylor expansion of 1/4 in K
13.603 * [backup-simplify]: Simplify 1/4 into 1/4
13.603 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
13.603 * [taylor]: Taking taylor expansion of (pow U 2) in K
13.603 * [taylor]: Taking taylor expansion of U in K
13.603 * [backup-simplify]: Simplify U into U
13.603 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
13.603 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
13.603 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
13.604 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
13.604 * [taylor]: Taking taylor expansion of 1/2 in K
13.604 * [backup-simplify]: Simplify 1/2 into 1/2
13.604 * [taylor]: Taking taylor expansion of K in K
13.604 * [backup-simplify]: Simplify 0 into 0
13.604 * [backup-simplify]: Simplify 1 into 1
13.604 * [backup-simplify]: Simplify (* 1/2 0) into 0
13.605 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
13.605 * [taylor]: Taking taylor expansion of (pow J 2) in K
13.605 * [taylor]: Taking taylor expansion of J in K
13.605 * [backup-simplify]: Simplify J into J
13.605 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.605 * [backup-simplify]: Simplify (* 1 1) into 1
13.605 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.606 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
13.606 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
13.606 * [taylor]: Taking taylor expansion of 1 in K
13.606 * [backup-simplify]: Simplify 1 into 1
13.606 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
13.606 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
13.606 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
13.607 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))
13.607 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4)
13.607 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in J
13.607 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J
13.607 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J
13.607 * [taylor]: Taking taylor expansion of 1/4 in J
13.607 * [backup-simplify]: Simplify 1/4 into 1/4
13.607 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
13.607 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
13.607 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
13.607 * [taylor]: Taking taylor expansion of 1/4 in J
13.607 * [backup-simplify]: Simplify 1/4 into 1/4
13.607 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
13.607 * [taylor]: Taking taylor expansion of (pow U 2) in J
13.607 * [taylor]: Taking taylor expansion of U in J
13.607 * [backup-simplify]: Simplify U into U
13.607 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
13.607 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
13.607 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
13.607 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
13.607 * [taylor]: Taking taylor expansion of 1/2 in J
13.607 * [backup-simplify]: Simplify 1/2 into 1/2
13.607 * [taylor]: Taking taylor expansion of K in J
13.607 * [backup-simplify]: Simplify K into K
13.607 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
13.608 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
13.608 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
13.608 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
13.608 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
13.608 * [backup-simplify]: Simplify (- 0) into 0
13.608 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
13.608 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.608 * [taylor]: Taking taylor expansion of J in J
13.608 * [backup-simplify]: Simplify 0 into 0
13.608 * [backup-simplify]: Simplify 1 into 1
13.609 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.609 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
13.609 * [backup-simplify]: Simplify (* 1 1) into 1
13.609 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
13.609 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
13.609 * [taylor]: Taking taylor expansion of 1 in J
13.609 * [backup-simplify]: Simplify 1 into 1
13.610 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
13.610 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
13.610 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))
13.611 * [backup-simplify]: Simplify (+ (* (- 2) (log J)) (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))
13.611 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))
13.611 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))))
13.611 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U
13.611 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U
13.611 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U
13.611 * [taylor]: Taking taylor expansion of 1/4 in U
13.611 * [backup-simplify]: Simplify 1/4 into 1/4
13.611 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
13.611 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
13.612 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
13.612 * [taylor]: Taking taylor expansion of 1/4 in U
13.612 * [backup-simplify]: Simplify 1/4 into 1/4
13.612 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
13.612 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.612 * [taylor]: Taking taylor expansion of U in U
13.612 * [backup-simplify]: Simplify 0 into 0
13.612 * [backup-simplify]: Simplify 1 into 1
13.612 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
13.612 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
13.612 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
13.612 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
13.612 * [taylor]: Taking taylor expansion of 1/2 in U
13.612 * [backup-simplify]: Simplify 1/2 into 1/2
13.612 * [taylor]: Taking taylor expansion of K in U
13.612 * [backup-simplify]: Simplify K into K
13.612 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
13.612 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
13.612 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
13.612 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
13.612 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
13.613 * [backup-simplify]: Simplify (- 0) into 0
13.613 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
13.613 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.613 * [taylor]: Taking taylor expansion of J in U
13.613 * [backup-simplify]: Simplify J into J
13.613 * [backup-simplify]: Simplify (* 1 1) into 1
13.613 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
13.613 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.614 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
13.614 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
13.614 * [taylor]: Taking taylor expansion of 1 in U
13.614 * [backup-simplify]: Simplify 1 into 1
13.614 * [backup-simplify]: Simplify (+ 0 1) into 1
13.615 * [backup-simplify]: Simplify (log 1) into 0
13.615 * [backup-simplify]: Simplify (* 1/4 0) into 0
13.615 * [backup-simplify]: Simplify (+ 0 0) into 0
13.617 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
13.617 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0
13.617 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
13.618 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
13.620 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
13.621 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
13.621 * [backup-simplify]: Simplify (exp 0) into 1
13.621 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U
13.621 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U
13.621 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U
13.621 * [taylor]: Taking taylor expansion of 1/4 in U
13.621 * [backup-simplify]: Simplify 1/4 into 1/4
13.621 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
13.621 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
13.621 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
13.621 * [taylor]: Taking taylor expansion of 1/4 in U
13.621 * [backup-simplify]: Simplify 1/4 into 1/4
13.621 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
13.621 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.621 * [taylor]: Taking taylor expansion of U in U
13.621 * [backup-simplify]: Simplify 0 into 0
13.621 * [backup-simplify]: Simplify 1 into 1
13.621 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
13.621 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
13.621 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
13.621 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
13.621 * [taylor]: Taking taylor expansion of 1/2 in U
13.621 * [backup-simplify]: Simplify 1/2 into 1/2
13.621 * [taylor]: Taking taylor expansion of K in U
13.621 * [backup-simplify]: Simplify K into K
13.621 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
13.622 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
13.622 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
13.622 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
13.622 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
13.622 * [backup-simplify]: Simplify (- 0) into 0
13.622 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
13.622 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.622 * [taylor]: Taking taylor expansion of J in U
13.622 * [backup-simplify]: Simplify J into J
13.623 * [backup-simplify]: Simplify (* 1 1) into 1
13.623 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
13.623 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.623 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
13.623 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
13.623 * [taylor]: Taking taylor expansion of 1 in U
13.623 * [backup-simplify]: Simplify 1 into 1
13.623 * [backup-simplify]: Simplify (+ 0 1) into 1
13.623 * [backup-simplify]: Simplify (log 1) into 0
13.624 * [backup-simplify]: Simplify (* 1/4 0) into 0
13.624 * [backup-simplify]: Simplify (+ 0 0) into 0
13.625 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
13.625 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0
13.625 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
13.625 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
13.627 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
13.627 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
13.627 * [backup-simplify]: Simplify (exp 0) into 1
13.627 * [taylor]: Taking taylor expansion of 1 in J
13.627 * [backup-simplify]: Simplify 1 into 1
13.627 * [taylor]: Taking taylor expansion of 1 in K
13.627 * [backup-simplify]: Simplify 1 into 1
13.627 * [backup-simplify]: Simplify 1 into 1
13.628 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
13.628 * [taylor]: Taking taylor expansion of 0 in J
13.628 * [backup-simplify]: Simplify 0 into 0
13.628 * [taylor]: Taking taylor expansion of 0 in K
13.628 * [backup-simplify]: Simplify 0 into 0
13.628 * [backup-simplify]: Simplify 0 into 0
13.628 * [taylor]: Taking taylor expansion of 0 in K
13.628 * [backup-simplify]: Simplify 0 into 0
13.628 * [backup-simplify]: Simplify 0 into 0
13.628 * [backup-simplify]: Simplify 0 into 0
13.629 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
13.629 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
13.629 * [taylor]: Taking taylor expansion of 1/16 in J
13.629 * [backup-simplify]: Simplify 1/16 into 1/16
13.629 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
13.629 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
13.629 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
13.629 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
13.629 * [taylor]: Taking taylor expansion of 1/2 in J
13.629 * [backup-simplify]: Simplify 1/2 into 1/2
13.629 * [taylor]: Taking taylor expansion of K in J
13.629 * [backup-simplify]: Simplify K into K
13.629 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
13.629 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
13.629 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
13.629 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
13.629 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
13.629 * [backup-simplify]: Simplify (- 0) into 0
13.629 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
13.629 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.629 * [taylor]: Taking taylor expansion of J in J
13.629 * [backup-simplify]: Simplify 0 into 0
13.629 * [backup-simplify]: Simplify 1 into 1
13.629 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
13.630 * [backup-simplify]: Simplify (* 1 1) into 1
13.630 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
13.630 * [backup-simplify]: Simplify (/ 1/16 (pow (cos (* 1/2 K)) 2)) into (/ 1/16 (pow (cos (* 1/2 K)) 2))
13.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.631 * [backup-simplify]: Simplify (+ 0) into 0
13.631 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
13.631 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
13.632 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.632 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
13.632 * [backup-simplify]: Simplify (- 0) into 0
13.632 * [backup-simplify]: Simplify (+ 0 0) into 0
13.633 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
13.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.633 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.634 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
13.634 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
13.635 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.635 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
13.636 * [backup-simplify]: Simplify (- 0) into 0
13.636 * [backup-simplify]: Simplify (+ 0 0) into 0
13.636 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
13.637 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
13.637 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
13.637 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
13.637 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
13.637 * [taylor]: Taking taylor expansion of 0 in K
13.637 * [backup-simplify]: Simplify 0 into 0
13.637 * [backup-simplify]: Simplify 0 into 0
13.637 * [taylor]: Taking taylor expansion of 0 in K
13.637 * [backup-simplify]: Simplify 0 into 0
13.637 * [backup-simplify]: Simplify 0 into 0
13.637 * [taylor]: Taking taylor expansion of 0 in K
13.637 * [backup-simplify]: Simplify 0 into 0
13.637 * [backup-simplify]: Simplify 0 into 0
13.637 * [backup-simplify]: Simplify 1 into 1
13.638 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4)
13.638 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in (U J K) around 0
13.638 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in K
13.638 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K
13.638 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K
13.638 * [taylor]: Taking taylor expansion of 1/4 in K
13.638 * [backup-simplify]: Simplify 1/4 into 1/4
13.638 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
13.638 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
13.638 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
13.638 * [taylor]: Taking taylor expansion of 1/4 in K
13.638 * [backup-simplify]: Simplify 1/4 into 1/4
13.638 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
13.638 * [taylor]: Taking taylor expansion of (pow J 2) in K
13.638 * [taylor]: Taking taylor expansion of J in K
13.638 * [backup-simplify]: Simplify J into J
13.638 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
13.638 * [taylor]: Taking taylor expansion of (pow U 2) in K
13.638 * [taylor]: Taking taylor expansion of U in K
13.638 * [backup-simplify]: Simplify U into U
13.638 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
13.638 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
13.638 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
13.638 * [taylor]: Taking taylor expansion of 1/2 in K
13.638 * [backup-simplify]: Simplify 1/2 into 1/2
13.638 * [taylor]: Taking taylor expansion of K in K
13.638 * [backup-simplify]: Simplify 0 into 0
13.638 * [backup-simplify]: Simplify 1 into 1
13.639 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
13.639 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
13.639 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.639 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.639 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
13.639 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
13.639 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
13.639 * [taylor]: Taking taylor expansion of 1 in K
13.639 * [backup-simplify]: Simplify 1 into 1
13.639 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
13.639 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
13.640 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
13.640 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))
13.640 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4)
13.640 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in J
13.640 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J
13.640 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J
13.640 * [taylor]: Taking taylor expansion of 1/4 in J
13.640 * [backup-simplify]: Simplify 1/4 into 1/4
13.640 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
13.640 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
13.640 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
13.640 * [taylor]: Taking taylor expansion of 1/4 in J
13.640 * [backup-simplify]: Simplify 1/4 into 1/4
13.640 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
13.640 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.640 * [taylor]: Taking taylor expansion of J in J
13.640 * [backup-simplify]: Simplify 0 into 0
13.640 * [backup-simplify]: Simplify 1 into 1
13.640 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
13.640 * [taylor]: Taking taylor expansion of (pow U 2) in J
13.640 * [taylor]: Taking taylor expansion of U in J
13.640 * [backup-simplify]: Simplify U into U
13.641 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
13.641 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
13.641 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
13.641 * [taylor]: Taking taylor expansion of 1/2 in J
13.641 * [backup-simplify]: Simplify 1/2 into 1/2
13.641 * [taylor]: Taking taylor expansion of K in J
13.641 * [backup-simplify]: Simplify K into K
13.641 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
13.641 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
13.641 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
13.641 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
13.641 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
13.641 * [backup-simplify]: Simplify (- 0) into 0
13.641 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
13.641 * [backup-simplify]: Simplify (* 1 1) into 1
13.642 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.642 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
13.642 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
13.642 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
13.642 * [taylor]: Taking taylor expansion of 1 in J
13.642 * [backup-simplify]: Simplify 1 into 1
13.642 * [backup-simplify]: Simplify (+ 0 1) into 1
13.642 * [backup-simplify]: Simplify (log 1) into 0
13.643 * [backup-simplify]: Simplify (* 1/4 0) into 0
13.643 * [backup-simplify]: Simplify (+ 0 0) into 0
13.644 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
13.645 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0
13.645 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
13.646 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
13.648 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
13.648 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
13.648 * [backup-simplify]: Simplify (exp 0) into 1
13.648 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U
13.648 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U
13.649 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U
13.649 * [taylor]: Taking taylor expansion of 1/4 in U
13.649 * [backup-simplify]: Simplify 1/4 into 1/4
13.649 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
13.649 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
13.649 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
13.649 * [taylor]: Taking taylor expansion of 1/4 in U
13.649 * [backup-simplify]: Simplify 1/4 into 1/4
13.649 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
13.649 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.649 * [taylor]: Taking taylor expansion of J in U
13.649 * [backup-simplify]: Simplify J into J
13.649 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
13.649 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.649 * [taylor]: Taking taylor expansion of U in U
13.649 * [backup-simplify]: Simplify 0 into 0
13.649 * [backup-simplify]: Simplify 1 into 1
13.649 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
13.649 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
13.649 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
13.649 * [taylor]: Taking taylor expansion of 1/2 in U
13.649 * [backup-simplify]: Simplify 1/2 into 1/2
13.649 * [taylor]: Taking taylor expansion of K in U
13.649 * [backup-simplify]: Simplify K into K
13.649 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
13.649 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
13.649 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
13.649 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
13.649 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
13.649 * [backup-simplify]: Simplify (- 0) into 0
13.649 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
13.650 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.650 * [backup-simplify]: Simplify (* 1 1) into 1
13.650 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
13.650 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
13.650 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
13.650 * [taylor]: Taking taylor expansion of 1 in U
13.650 * [backup-simplify]: Simplify 1 into 1
13.650 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
13.650 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
13.651 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))
13.651 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))
13.651 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))
13.652 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))
13.652 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U
13.652 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U
13.652 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U
13.652 * [taylor]: Taking taylor expansion of 1/4 in U
13.652 * [backup-simplify]: Simplify 1/4 into 1/4
13.652 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
13.652 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
13.652 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
13.652 * [taylor]: Taking taylor expansion of 1/4 in U
13.652 * [backup-simplify]: Simplify 1/4 into 1/4
13.652 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
13.652 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.652 * [taylor]: Taking taylor expansion of J in U
13.652 * [backup-simplify]: Simplify J into J
13.652 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
13.652 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.652 * [taylor]: Taking taylor expansion of U in U
13.652 * [backup-simplify]: Simplify 0 into 0
13.652 * [backup-simplify]: Simplify 1 into 1
13.652 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
13.652 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
13.652 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
13.652 * [taylor]: Taking taylor expansion of 1/2 in U
13.652 * [backup-simplify]: Simplify 1/2 into 1/2
13.652 * [taylor]: Taking taylor expansion of K in U
13.652 * [backup-simplify]: Simplify K into K
13.652 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
13.652 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
13.652 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
13.652 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
13.652 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
13.653 * [backup-simplify]: Simplify (- 0) into 0
13.653 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
13.653 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.653 * [backup-simplify]: Simplify (* 1 1) into 1
13.653 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
13.653 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
13.653 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
13.653 * [taylor]: Taking taylor expansion of 1 in U
13.653 * [backup-simplify]: Simplify 1 into 1
13.653 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
13.654 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
13.654 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))
13.654 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))
13.654 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))
13.655 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))
13.655 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J
13.655 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J
13.655 * [taylor]: Taking taylor expansion of 1/4 in J
13.655 * [backup-simplify]: Simplify 1/4 into 1/4
13.655 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J
13.655 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J
13.655 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J
13.655 * [taylor]: Taking taylor expansion of 1/4 in J
13.655 * [backup-simplify]: Simplify 1/4 into 1/4
13.655 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J
13.655 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.655 * [taylor]: Taking taylor expansion of J in J
13.655 * [backup-simplify]: Simplify 0 into 0
13.655 * [backup-simplify]: Simplify 1 into 1
13.655 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
13.655 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
13.655 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
13.655 * [taylor]: Taking taylor expansion of 1/2 in J
13.655 * [backup-simplify]: Simplify 1/2 into 1/2
13.655 * [taylor]: Taking taylor expansion of K in J
13.655 * [backup-simplify]: Simplify K into K
13.655 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
13.655 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
13.655 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
13.655 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
13.655 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
13.655 * [backup-simplify]: Simplify (- 0) into 0
13.656 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
13.656 * [backup-simplify]: Simplify (* 1 1) into 1
13.656 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
13.656 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2))
13.656 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
13.656 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))
13.656 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J
13.656 * [taylor]: Taking taylor expansion of 2 in J
13.656 * [backup-simplify]: Simplify 2 into 2
13.656 * [taylor]: Taking taylor expansion of (log U) in J
13.656 * [taylor]: Taking taylor expansion of U in J
13.656 * [backup-simplify]: Simplify U into U
13.656 * [backup-simplify]: Simplify (log U) into (log U)
13.657 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))))
13.657 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U))
13.657 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U)))
13.657 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))
13.657 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))
13.657 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))
13.657 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K
13.657 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K
13.657 * [taylor]: Taking taylor expansion of 1/4 in K
13.657 * [backup-simplify]: Simplify 1/4 into 1/4
13.657 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K
13.657 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) in K
13.657 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K
13.657 * [taylor]: Taking taylor expansion of 2 in K
13.657 * [backup-simplify]: Simplify 2 into 2
13.657 * [taylor]: Taking taylor expansion of (log J) in K
13.657 * [taylor]: Taking taylor expansion of J in K
13.657 * [backup-simplify]: Simplify J into J
13.657 * [backup-simplify]: Simplify (log J) into (log J)
13.657 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) in K
13.657 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K
13.657 * [taylor]: Taking taylor expansion of 1/4 in K
13.657 * [backup-simplify]: Simplify 1/4 into 1/4
13.657 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
13.658 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
13.658 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
13.658 * [taylor]: Taking taylor expansion of 1/2 in K
13.658 * [backup-simplify]: Simplify 1/2 into 1/2
13.658 * [taylor]: Taking taylor expansion of K in K
13.658 * [backup-simplify]: Simplify 0 into 0
13.658 * [backup-simplify]: Simplify 1 into 1
13.658 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
13.658 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
13.658 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
13.658 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
13.658 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))
13.658 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K
13.658 * [taylor]: Taking taylor expansion of 2 in K
13.658 * [backup-simplify]: Simplify 2 into 2
13.658 * [taylor]: Taking taylor expansion of (log U) in K
13.658 * [taylor]: Taking taylor expansion of U in K
13.658 * [backup-simplify]: Simplify U into U
13.658 * [backup-simplify]: Simplify (log U) into (log U)
13.658 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J))
13.658 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))))
13.659 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U))
13.659 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U)))
13.659 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))
13.659 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))
13.659 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))
13.659 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))
13.659 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.660 * [backup-simplify]: Simplify (+ 0) into 0
13.660 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
13.660 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
13.661 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.661 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
13.661 * [backup-simplify]: Simplify (- 0) into 0
13.661 * [backup-simplify]: Simplify (+ 0 0) into 0
13.661 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
13.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
13.662 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
13.663 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
13.663 * [backup-simplify]: Simplify (+ 0 0) into 0
13.664 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0
13.664 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))
13.664 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0
13.665 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.665 * [taylor]: Taking taylor expansion of 0 in J
13.665 * [backup-simplify]: Simplify 0 into 0
13.665 * [taylor]: Taking taylor expansion of 0 in K
13.665 * [backup-simplify]: Simplify 0 into 0
13.665 * [backup-simplify]: Simplify 0 into 0
13.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.666 * [backup-simplify]: Simplify (+ 0) into 0
13.667 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
13.667 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
13.667 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.667 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
13.668 * [backup-simplify]: Simplify (- 0) into 0
13.668 * [backup-simplify]: Simplify (+ 0 0) into 0
13.668 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
13.668 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
13.669 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0
13.669 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0
13.670 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
13.670 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0
13.670 * [backup-simplify]: Simplify (- 0) into 0
13.670 * [backup-simplify]: Simplify (+ 0 0) into 0
13.671 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0
13.671 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.671 * [taylor]: Taking taylor expansion of 0 in K
13.671 * [backup-simplify]: Simplify 0 into 0
13.671 * [backup-simplify]: Simplify 0 into 0
13.672 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
13.672 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0
13.672 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
13.673 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
13.673 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0
13.673 * [backup-simplify]: Simplify (+ 0 0) into 0
13.674 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
13.674 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0
13.674 * [backup-simplify]: Simplify (- 0) into 0
13.675 * [backup-simplify]: Simplify (+ 0 0) into 0
13.675 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0
13.676 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.676 * [backup-simplify]: Simplify 0 into 0
13.676 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
13.676 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.677 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
13.677 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
13.677 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.678 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
13.678 * [backup-simplify]: Simplify (- 0) into 0
13.678 * [backup-simplify]: Simplify (+ 0 0) into 0
13.679 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
13.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
13.680 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
13.681 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
13.681 * [backup-simplify]: Simplify (+ 0 1) into 1
13.683 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))
13.689 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))
13.690 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))
13.692 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))
13.692 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J
13.692 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J
13.692 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J
13.692 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J
13.692 * [taylor]: Taking taylor expansion of 1/4 in J
13.692 * [backup-simplify]: Simplify 1/4 into 1/4
13.692 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J
13.692 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J
13.692 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J
13.692 * [taylor]: Taking taylor expansion of 1/4 in J
13.692 * [backup-simplify]: Simplify 1/4 into 1/4
13.692 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J
13.692 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.692 * [taylor]: Taking taylor expansion of J in J
13.692 * [backup-simplify]: Simplify 0 into 0
13.692 * [backup-simplify]: Simplify 1 into 1
13.692 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
13.692 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
13.692 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
13.692 * [taylor]: Taking taylor expansion of 1/2 in J
13.692 * [backup-simplify]: Simplify 1/2 into 1/2
13.692 * [taylor]: Taking taylor expansion of K in J
13.692 * [backup-simplify]: Simplify K into K
13.693 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
13.693 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
13.693 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
13.693 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
13.693 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
13.693 * [backup-simplify]: Simplify (- 0) into 0
13.693 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
13.694 * [backup-simplify]: Simplify (* 1 1) into 1
13.694 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
13.694 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2))
13.694 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
13.694 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))
13.695 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J
13.695 * [taylor]: Taking taylor expansion of 2 in J
13.695 * [backup-simplify]: Simplify 2 into 2
13.695 * [taylor]: Taking taylor expansion of (log U) in J
13.695 * [taylor]: Taking taylor expansion of U in J
13.695 * [backup-simplify]: Simplify U into U
13.695 * [backup-simplify]: Simplify (log U) into (log U)
13.695 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))))
13.695 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U))
13.695 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U)))
13.696 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))
13.696 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))
13.696 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))
13.697 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
13.697 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
13.697 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
13.697 * [taylor]: Taking taylor expansion of 1/2 in J
13.697 * [backup-simplify]: Simplify 1/2 into 1/2
13.697 * [taylor]: Taking taylor expansion of K in J
13.697 * [backup-simplify]: Simplify K into K
13.697 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
13.697 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
13.697 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
13.697 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
13.697 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
13.698 * [backup-simplify]: Simplify (- 0) into 0
13.698 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
13.698 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.698 * [taylor]: Taking taylor expansion of J in J
13.698 * [backup-simplify]: Simplify 0 into 0
13.698 * [backup-simplify]: Simplify 1 into 1
13.698 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
13.698 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2))
13.699 * [backup-simplify]: Simplify (* 1 1) into 1
13.699 * [backup-simplify]: Simplify (/ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2))
13.700 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
13.701 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.701 * [backup-simplify]: Simplify (+ 0) into 0
13.702 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
13.702 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
13.703 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.704 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.704 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
13.705 * [backup-simplify]: Simplify (- 0) into 0
13.705 * [backup-simplify]: Simplify (+ 0 0) into 0
13.706 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
13.706 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
13.706 * [backup-simplify]: Simplify (- 0) into 0
13.707 * [backup-simplify]: Simplify (+ 0 0) into 0
13.707 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
13.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.708 * [backup-simplify]: Simplify (+ 0) into 0
13.709 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
13.709 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
13.710 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.710 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
13.711 * [backup-simplify]: Simplify (- 0) into 0
13.711 * [backup-simplify]: Simplify (+ 0 0) into 0
13.711 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
13.712 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
13.712 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0
13.713 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0
13.714 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
13.714 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0
13.715 * [backup-simplify]: Simplify (- 0) into 0
13.715 * [backup-simplify]: Simplify (+ 0 0) into 0
13.716 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0
13.718 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.718 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
13.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.720 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.721 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
13.721 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
13.722 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.723 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
13.723 * [backup-simplify]: Simplify (- 0) into 0
13.723 * [backup-simplify]: Simplify (+ 0 0) into 0
13.724 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
13.724 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
13.725 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0
13.727 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0
13.729 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
13.730 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0
13.730 * [backup-simplify]: Simplify (- 0) into 0
13.731 * [backup-simplify]: Simplify (+ 0 0) into 0
13.732 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0
13.734 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.736 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
13.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.738 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
13.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0
13.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.742 * [taylor]: Taking taylor expansion of 0 in K
13.742 * [backup-simplify]: Simplify 0 into 0
13.742 * [backup-simplify]: Simplify 0 into 0
13.742 * [taylor]: Taking taylor expansion of 0 in K
13.742 * [backup-simplify]: Simplify 0 into 0
13.742 * [backup-simplify]: Simplify 0 into 0
13.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.744 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.745 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
13.745 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
13.746 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.747 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
13.747 * [backup-simplify]: Simplify (- 0) into 0
13.747 * [backup-simplify]: Simplify (+ 0 0) into 0
13.748 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
13.748 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
13.749 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0
13.751 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0
13.753 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
13.754 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0
13.754 * [backup-simplify]: Simplify (- 0) into 0
13.755 * [backup-simplify]: Simplify (+ 0 0) into 0
13.756 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0
13.757 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.757 * [taylor]: Taking taylor expansion of 0 in K
13.757 * [backup-simplify]: Simplify 0 into 0
13.758 * [backup-simplify]: Simplify 0 into 0
13.758 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U))))))
13.759 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4)
13.759 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in (U J K) around 0
13.759 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in K
13.759 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K
13.759 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K
13.759 * [taylor]: Taking taylor expansion of 1/4 in K
13.759 * [backup-simplify]: Simplify 1/4 into 1/4
13.759 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
13.759 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
13.759 * [taylor]: Taking taylor expansion of 1 in K
13.759 * [backup-simplify]: Simplify 1 into 1
13.759 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
13.759 * [taylor]: Taking taylor expansion of 1/4 in K
13.759 * [backup-simplify]: Simplify 1/4 into 1/4
13.759 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
13.759 * [taylor]: Taking taylor expansion of (pow J 2) in K
13.759 * [taylor]: Taking taylor expansion of J in K
13.759 * [backup-simplify]: Simplify J into J
13.759 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
13.759 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
13.759 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
13.759 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
13.759 * [taylor]: Taking taylor expansion of -1/2 in K
13.759 * [backup-simplify]: Simplify -1/2 into -1/2
13.759 * [taylor]: Taking taylor expansion of K in K
13.759 * [backup-simplify]: Simplify 0 into 0
13.759 * [backup-simplify]: Simplify 1 into 1
13.760 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
13.760 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
13.760 * [taylor]: Taking taylor expansion of (pow U 2) in K
13.760 * [taylor]: Taking taylor expansion of U in K
13.760 * [backup-simplify]: Simplify U into U
13.760 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.760 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
13.761 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.761 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
13.761 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
13.761 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
13.762 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
13.762 * [backup-simplify]: Simplify (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
13.762 * [backup-simplify]: Simplify (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))
13.763 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4)
13.763 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in J
13.763 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J
13.763 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J
13.763 * [taylor]: Taking taylor expansion of 1/4 in J
13.763 * [backup-simplify]: Simplify 1/4 into 1/4
13.763 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
13.763 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
13.763 * [taylor]: Taking taylor expansion of 1 in J
13.763 * [backup-simplify]: Simplify 1 into 1
13.763 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
13.763 * [taylor]: Taking taylor expansion of 1/4 in J
13.763 * [backup-simplify]: Simplify 1/4 into 1/4
13.763 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
13.763 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.763 * [taylor]: Taking taylor expansion of J in J
13.763 * [backup-simplify]: Simplify 0 into 0
13.763 * [backup-simplify]: Simplify 1 into 1
13.763 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
13.763 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
13.763 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
13.763 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
13.763 * [taylor]: Taking taylor expansion of -1/2 in J
13.764 * [backup-simplify]: Simplify -1/2 into -1/2
13.764 * [taylor]: Taking taylor expansion of K in J
13.764 * [backup-simplify]: Simplify K into K
13.764 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
13.764 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
13.764 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
13.764 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
13.764 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
13.765 * [backup-simplify]: Simplify (- 0) into 0
13.765 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
13.765 * [taylor]: Taking taylor expansion of (pow U 2) in J
13.765 * [taylor]: Taking taylor expansion of U in J
13.765 * [backup-simplify]: Simplify U into U
13.765 * [backup-simplify]: Simplify (* 1 1) into 1
13.765 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
13.765 * [backup-simplify]: Simplify (* U U) into (pow U 2)
13.765 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
13.766 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
13.766 * [backup-simplify]: Simplify (+ 1 0) into 1
13.767 * [backup-simplify]: Simplify (log 1) into 0
13.767 * [backup-simplify]: Simplify (* 1/4 0) into 0
13.768 * [backup-simplify]: Simplify (+ 0 0) into 0
13.770 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
13.770 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0
13.771 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
13.771 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
13.773 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
13.774 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
13.774 * [backup-simplify]: Simplify (exp 0) into 1
13.774 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U
13.774 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
13.774 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
13.774 * [taylor]: Taking taylor expansion of 1/4 in U
13.774 * [backup-simplify]: Simplify 1/4 into 1/4
13.774 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
13.774 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
13.774 * [taylor]: Taking taylor expansion of 1 in U
13.774 * [backup-simplify]: Simplify 1 into 1
13.774 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
13.774 * [taylor]: Taking taylor expansion of 1/4 in U
13.774 * [backup-simplify]: Simplify 1/4 into 1/4
13.774 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
13.774 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.774 * [taylor]: Taking taylor expansion of J in U
13.774 * [backup-simplify]: Simplify J into J
13.774 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
13.774 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
13.774 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
13.774 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
13.774 * [taylor]: Taking taylor expansion of -1/2 in U
13.774 * [backup-simplify]: Simplify -1/2 into -1/2
13.775 * [taylor]: Taking taylor expansion of K in U
13.775 * [backup-simplify]: Simplify K into K
13.775 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
13.775 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
13.775 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
13.775 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
13.775 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
13.775 * [backup-simplify]: Simplify (- 0) into 0
13.775 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
13.775 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.775 * [taylor]: Taking taylor expansion of U in U
13.775 * [backup-simplify]: Simplify 0 into 0
13.776 * [backup-simplify]: Simplify 1 into 1
13.776 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.776 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
13.776 * [backup-simplify]: Simplify (* 1 1) into 1
13.776 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
13.776 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
13.777 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
13.777 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
13.777 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))
13.778 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))
13.778 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))
13.778 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))
13.779 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U
13.779 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
13.779 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
13.779 * [taylor]: Taking taylor expansion of 1/4 in U
13.779 * [backup-simplify]: Simplify 1/4 into 1/4
13.779 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
13.779 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
13.779 * [taylor]: Taking taylor expansion of 1 in U
13.779 * [backup-simplify]: Simplify 1 into 1
13.779 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
13.779 * [taylor]: Taking taylor expansion of 1/4 in U
13.779 * [backup-simplify]: Simplify 1/4 into 1/4
13.779 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
13.779 * [taylor]: Taking taylor expansion of (pow J 2) in U
13.779 * [taylor]: Taking taylor expansion of J in U
13.779 * [backup-simplify]: Simplify J into J
13.779 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
13.779 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
13.779 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
13.779 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
13.779 * [taylor]: Taking taylor expansion of -1/2 in U
13.779 * [backup-simplify]: Simplify -1/2 into -1/2
13.779 * [taylor]: Taking taylor expansion of K in U
13.779 * [backup-simplify]: Simplify K into K
13.779 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
13.779 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
13.779 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
13.779 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
13.780 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
13.780 * [backup-simplify]: Simplify (- 0) into 0
13.780 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
13.780 * [taylor]: Taking taylor expansion of (pow U 2) in U
13.780 * [taylor]: Taking taylor expansion of U in U
13.780 * [backup-simplify]: Simplify 0 into 0
13.780 * [backup-simplify]: Simplify 1 into 1
13.780 * [backup-simplify]: Simplify (* J J) into (pow J 2)
13.780 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
13.781 * [backup-simplify]: Simplify (* 1 1) into 1
13.781 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
13.781 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
13.781 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
13.782 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
13.782 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))
13.783 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))
13.783 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))
13.783 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))
13.783 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J
13.783 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J
13.783 * [taylor]: Taking taylor expansion of 1/4 in J
13.784 * [backup-simplify]: Simplify 1/4 into 1/4
13.784 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J
13.784 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J
13.784 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J
13.784 * [taylor]: Taking taylor expansion of 1/4 in J
13.784 * [backup-simplify]: Simplify 1/4 into 1/4
13.784 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J
13.784 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.784 * [taylor]: Taking taylor expansion of J in J
13.784 * [backup-simplify]: Simplify 0 into 0
13.784 * [backup-simplify]: Simplify 1 into 1
13.784 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
13.784 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
13.784 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
13.784 * [taylor]: Taking taylor expansion of -1/2 in J
13.784 * [backup-simplify]: Simplify -1/2 into -1/2
13.784 * [taylor]: Taking taylor expansion of K in J
13.784 * [backup-simplify]: Simplify K into K
13.784 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
13.784 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
13.784 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
13.784 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
13.784 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
13.785 * [backup-simplify]: Simplify (- 0) into 0
13.785 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
13.785 * [backup-simplify]: Simplify (* 1 1) into 1
13.786 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
13.786 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2))
13.786 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
13.786 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))
13.786 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J
13.786 * [taylor]: Taking taylor expansion of 2 in J
13.786 * [backup-simplify]: Simplify 2 into 2
13.786 * [taylor]: Taking taylor expansion of (log U) in J
13.786 * [taylor]: Taking taylor expansion of U in J
13.786 * [backup-simplify]: Simplify U into U
13.786 * [backup-simplify]: Simplify (log U) into (log U)
13.787 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))))
13.787 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U))
13.787 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U)))
13.787 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))
13.788 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))
13.788 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))
13.788 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K
13.788 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K
13.788 * [taylor]: Taking taylor expansion of 1/4 in K
13.788 * [backup-simplify]: Simplify 1/4 into 1/4
13.788 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K
13.788 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) in K
13.788 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K
13.788 * [taylor]: Taking taylor expansion of 2 in K
13.788 * [backup-simplify]: Simplify 2 into 2
13.788 * [taylor]: Taking taylor expansion of (log J) in K
13.788 * [taylor]: Taking taylor expansion of J in K
13.788 * [backup-simplify]: Simplify J into J
13.788 * [backup-simplify]: Simplify (log J) into (log J)
13.788 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) in K
13.788 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K
13.788 * [taylor]: Taking taylor expansion of 1/4 in K
13.788 * [backup-simplify]: Simplify 1/4 into 1/4
13.788 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
13.788 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
13.789 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
13.789 * [taylor]: Taking taylor expansion of -1/2 in K
13.789 * [backup-simplify]: Simplify -1/2 into -1/2
13.789 * [taylor]: Taking taylor expansion of K in K
13.789 * [backup-simplify]: Simplify 0 into 0
13.789 * [backup-simplify]: Simplify 1 into 1
13.789 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
13.789 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
13.789 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
13.790 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
13.790 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))
13.790 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K
13.790 * [taylor]: Taking taylor expansion of 2 in K
13.790 * [backup-simplify]: Simplify 2 into 2
13.790 * [taylor]: Taking taylor expansion of (log U) in K
13.790 * [taylor]: Taking taylor expansion of U in K
13.790 * [backup-simplify]: Simplify U into U
13.790 * [backup-simplify]: Simplify (log U) into (log U)
13.790 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J))
13.790 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))))
13.790 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U))
13.790 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U)))
13.791 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))
13.791 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))
13.792 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))
13.792 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))
13.792 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
13.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.793 * [backup-simplify]: Simplify (+ 0) into 0
13.794 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
13.794 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
13.795 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.795 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
13.796 * [backup-simplify]: Simplify (- 0) into 0
13.796 * [backup-simplify]: Simplify (+ 0 0) into 0
13.796 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
13.797 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
13.797 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
13.798 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
13.798 * [backup-simplify]: Simplify (+ 0 0) into 0
13.799 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0
13.799 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))
13.800 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0
13.800 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.800 * [taylor]: Taking taylor expansion of 0 in J
13.800 * [backup-simplify]: Simplify 0 into 0
13.800 * [taylor]: Taking taylor expansion of 0 in K
13.800 * [backup-simplify]: Simplify 0 into 0
13.800 * [backup-simplify]: Simplify 0 into 0
13.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.801 * [backup-simplify]: Simplify (+ 0) into 0
13.801 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
13.802 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
13.802 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.802 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
13.803 * [backup-simplify]: Simplify (- 0) into 0
13.803 * [backup-simplify]: Simplify (+ 0 0) into 0
13.803 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
13.803 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
13.803 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0
13.804 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0
13.805 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
13.805 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0
13.805 * [backup-simplify]: Simplify (- 0) into 0
13.805 * [backup-simplify]: Simplify (+ 0 0) into 0
13.806 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0
13.807 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.807 * [taylor]: Taking taylor expansion of 0 in K
13.807 * [backup-simplify]: Simplify 0 into 0
13.807 * [backup-simplify]: Simplify 0 into 0
13.807 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0
13.807 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0
13.808 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
13.808 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
13.808 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0
13.808 * [backup-simplify]: Simplify (+ 0 0) into 0
13.809 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
13.809 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0
13.810 * [backup-simplify]: Simplify (- 0) into 0
13.810 * [backup-simplify]: Simplify (+ 0 0) into 0
13.810 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0
13.811 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.811 * [backup-simplify]: Simplify 0 into 0
13.811 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
13.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.812 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.813 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
13.813 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
13.813 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.814 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
13.814 * [backup-simplify]: Simplify (- 0) into 0
13.814 * [backup-simplify]: Simplify (+ 0 0) into 0
13.814 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
13.815 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
13.815 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
13.816 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
13.816 * [backup-simplify]: Simplify (+ 1 0) into 1
13.817 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))
13.818 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))
13.818 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))
13.819 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))
13.819 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J
13.819 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J
13.819 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
13.819 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
13.819 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
13.819 * [taylor]: Taking taylor expansion of -1/2 in J
13.819 * [backup-simplify]: Simplify -1/2 into -1/2
13.819 * [taylor]: Taking taylor expansion of K in J
13.819 * [backup-simplify]: Simplify K into K
13.819 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
13.819 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
13.819 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
13.819 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
13.820 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
13.820 * [backup-simplify]: Simplify (- 0) into 0
13.820 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
13.820 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J
13.820 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J
13.820 * [taylor]: Taking taylor expansion of 1/4 in J
13.820 * [backup-simplify]: Simplify 1/4 into 1/4
13.820 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J
13.820 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J
13.820 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J
13.820 * [taylor]: Taking taylor expansion of 1/4 in J
13.820 * [backup-simplify]: Simplify 1/4 into 1/4
13.820 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J
13.820 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.820 * [taylor]: Taking taylor expansion of J in J
13.820 * [backup-simplify]: Simplify 0 into 0
13.820 * [backup-simplify]: Simplify 1 into 1
13.820 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
13.820 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
13.820 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
13.820 * [taylor]: Taking taylor expansion of -1/2 in J
13.820 * [backup-simplify]: Simplify -1/2 into -1/2
13.820 * [taylor]: Taking taylor expansion of K in J
13.820 * [backup-simplify]: Simplify K into K
13.820 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
13.820 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
13.820 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
13.820 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
13.820 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
13.821 * [backup-simplify]: Simplify (- 0) into 0
13.821 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
13.821 * [backup-simplify]: Simplify (* 1 1) into 1
13.821 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
13.821 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2))
13.821 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
13.821 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))
13.821 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J
13.821 * [taylor]: Taking taylor expansion of 2 in J
13.821 * [backup-simplify]: Simplify 2 into 2
13.821 * [taylor]: Taking taylor expansion of (log U) in J
13.821 * [taylor]: Taking taylor expansion of U in J
13.821 * [backup-simplify]: Simplify U into U
13.821 * [backup-simplify]: Simplify (log U) into (log U)
13.822 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))))
13.822 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U))
13.822 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U)))
13.822 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))
13.822 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))
13.822 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))
13.823 * [taylor]: Taking taylor expansion of (pow J 2) in J
13.823 * [taylor]: Taking taylor expansion of J in J
13.823 * [backup-simplify]: Simplify 0 into 0
13.823 * [backup-simplify]: Simplify 1 into 1
13.823 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
13.823 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))
13.823 * [backup-simplify]: Simplify (* 1 1) into 1
13.823 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))
13.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.824 * [backup-simplify]: Simplify (+ 0) into 0
13.825 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
13.825 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
13.825 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.826 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
13.826 * [backup-simplify]: Simplify (- 0) into 0
13.826 * [backup-simplify]: Simplify (+ 0 0) into 0
13.827 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
13.827 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
13.828 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0
13.828 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0
13.829 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0
13.830 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0
13.830 * [backup-simplify]: Simplify (- 0) into 0
13.835 * [backup-simplify]: Simplify (+ 0 0) into 0
13.836 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0
13.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.838 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.839 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
13.839 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
13.840 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.840 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
13.841 * [backup-simplify]: Simplify (- 0) into 0
13.841 * [backup-simplify]: Simplify (+ 0 0) into 0
13.842 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
13.843 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
13.844 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0
13.846 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0
13.847 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
13.848 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0
13.848 * [backup-simplify]: Simplify (- 0) into 0
13.849 * [backup-simplify]: Simplify (+ 0 0) into 0
13.850 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0
13.851 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.852 * [backup-simplify]: Simplify (+ 0) into 0
13.852 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
13.852 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
13.853 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
13.853 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
13.854 * [backup-simplify]: Simplify (- 0) into 0
13.854 * [backup-simplify]: Simplify (+ 0 0) into 0
13.854 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
13.855 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.856 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.857 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
13.857 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
13.858 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.859 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
13.859 * [backup-simplify]: Simplify (- 0) into 0
13.859 * [backup-simplify]: Simplify (+ 0 0) into 0
13.860 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
13.861 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0
13.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.862 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0
13.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
13.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0
13.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.866 * [taylor]: Taking taylor expansion of 0 in K
13.867 * [backup-simplify]: Simplify 0 into 0
13.867 * [backup-simplify]: Simplify 0 into 0
13.867 * [taylor]: Taking taylor expansion of 0 in K
13.867 * [backup-simplify]: Simplify 0 into 0
13.867 * [backup-simplify]: Simplify 0 into 0
13.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
13.869 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
13.869 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
13.870 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
13.871 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
13.871 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
13.872 * [backup-simplify]: Simplify (- 0) into 0
13.872 * [backup-simplify]: Simplify (+ 0 0) into 0
13.873 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
13.873 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
13.874 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0
13.876 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0
13.878 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0
13.879 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0
13.879 * [backup-simplify]: Simplify (- 0) into 0
13.879 * [backup-simplify]: Simplify (+ 0 0) into 0
13.881 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0
13.882 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.882 * [taylor]: Taking taylor expansion of 0 in K
13.882 * [backup-simplify]: Simplify 0 into 0
13.882 * [backup-simplify]: Simplify 0 into 0
13.883 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U))))))
13.883 * * * [progress]: simplifying candidates
13.883 * * * * [progress]: [ 1 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 1/2)) (* (cos (/ K 2)) (* -2 J)))))>
13.883 * * * * [progress]: [ 2 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (pow (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) 1)) (* (cos (/ K 2)) (* -2 J)))))>
13.883 * * * * [progress]: [ 3 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (exp (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))>
13.883 * * * * [progress]: [ 4 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (log (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))>
13.883 * * * * [progress]: [ 5 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))>
13.884 * * * * [progress]: [ 6 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))>
13.884 * * * * [progress]: [ 7 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (* (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))>
13.884 * * * * [progress]: [ 8 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))>
13.884 * * * * [progress]: [ 9 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (* (sqrt 1) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))))>
13.884 * * * * [progress]: [ 10 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (/ (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))) (* (cos (/ K 2)) (* -2 J)))))>
13.884 * * * * [progress]: [ 11 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (/ (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))))>
13.884 * * * * [progress]: [ 12 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) (/ 1 2))) (* (cos (/ K 2)) (* -2 J)))))>
13.884 * * * * [progress]: [ 13 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))>
13.884 * * * * [progress]: [ 14 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (fabs (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))))>
13.884 * * * * [progress]: [ 15 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (* 1 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))))>
13.884 * * * * [progress]: [ 16 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (posit16->real (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))>
13.885 * * * * [progress]: [ 17 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 1/2)) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.885 * * * * [progress]: [ 18 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (pow (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) 1)) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.885 * * * * [progress]: [ 19 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (exp (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.885 * * * * [progress]: [ 20 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (log (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.885 * * * * [progress]: [ 21 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.885 * * * * [progress]: [ 22 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.885 * * * * [progress]: [ 23 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (* (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.885 * * * * [progress]: [ 24 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.885 * * * * [progress]: [ 25 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (* (sqrt 1) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.885 * * * * [progress]: [ 26 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (/ (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.885 * * * * [progress]: [ 27 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (/ (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.886 * * * * [progress]: [ 28 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) (/ 1 2))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.886 * * * * [progress]: [ 29 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.886 * * * * [progress]: [ 30 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (fabs (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.886 * * * * [progress]: [ 31 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (* 1 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.886 * * * * [progress]: [ 32 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (posit16->real (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.886 * * * * [progress]: [ 33 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (pow (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) 1/2) (* (cos (/ K 2)) (* -2 J)))))>
13.886 * * * * [progress]: [ 34 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (pow (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) 1) (* (cos (/ K 2)) (* -2 J)))))>
13.886 * * * * [progress]: [ 35 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (exp (log (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))>
13.886 * * * * [progress]: [ 36 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (log (exp (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))>
13.886 * * * * [progress]: [ 37 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (cbrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (cbrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))>
13.886 * * * * [progress]: [ 38 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cbrt (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))>
13.886 * * * * [progress]: [ 39 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (sqrt (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (sqrt (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))>
13.887 * * * * [progress]: [ 40 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (sqrt (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (sqrt (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))>
13.887 * * * * [progress]: [ 41 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (sqrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))>
13.887 * * * * [progress]: [ 42 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (sqrt (sqrt 1)) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))))>
13.887 * * * * [progress]: [ 43 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (sqrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))>
13.887 * * * * [progress]: [ 44 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (sqrt 1) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))))>
13.887 * * * * [progress]: [ 45 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (/ (sqrt (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3)))) (sqrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))) (* (cos (/ K 2)) (* -2 J)))))>
13.887 * * * * [progress]: [ 46 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (/ (sqrt (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1)))) (sqrt (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))))>
13.887 * * * * [progress]: [ 47 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) (/ 1/2 2)) (* (cos (/ K 2)) (* -2 J)))))>
13.887 * * * * [progress]: [ 48 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (pow (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (/ 1 2)) (* (cos (/ K 2)) (* -2 J)))))>
13.887 * * * * [progress]: [ 49 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) (/ (/ 1 2) 2)) (* (cos (/ K 2)) (* -2 J)))))>
13.887 * * * * [progress]: [ 50 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (sqrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))>
13.887 * * * * [progress]: [ 51 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (fabs (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))))>
13.888 * * * * [progress]: [ 52 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (fabs (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))))>
13.888 * * * * [progress]: [ 53 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* 1 (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))))>
13.888 * * * * [progress]: [ 54 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (posit16->real (real->posit16 (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))>
13.888 * * * * [progress]: [ 55 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (pow (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) 1/2) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.888 * * * * [progress]: [ 56 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (pow (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) 1) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.888 * * * * [progress]: [ 57 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (exp (log (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.888 * * * * [progress]: [ 58 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (log (exp (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.888 * * * * [progress]: [ 59 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (cbrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.888 * * * * [progress]: [ 60 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (cbrt (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.888 * * * * [progress]: [ 61 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (sqrt (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.888 * * * * [progress]: [ 62 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (sqrt (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.889 * * * * [progress]: [ 63 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.889 * * * * [progress]: [ 64 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (sqrt 1)) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.889 * * * * [progress]: [ 65 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.889 * * * * [progress]: [ 66 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt 1) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.889 * * * * [progress]: [ 67 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (/ (sqrt (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3)))) (sqrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.889 * * * * [progress]: [ 68 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (/ (sqrt (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1)))) (sqrt (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.889 * * * * [progress]: [ 69 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) (/ 1/2 2)) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.889 * * * * [progress]: [ 70 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (pow (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (/ 1 2)) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.889 * * * * [progress]: [ 71 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) (/ (/ 1 2) 2)) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.889 * * * * [progress]: [ 72 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.889 * * * * [progress]: [ 73 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (fabs (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.890 * * * * [progress]: [ 74 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (fabs (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.890 * * * * [progress]: [ 75 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (* 1 (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.890 * * * * [progress]: [ 76 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (posit16->real (real->posit16 (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.890 * * * * [progress]: [ 77 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt 1) (* (cos (/ K 2)) (* -2 J)))))>
13.890 * * * * [progress]: [ 78 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (* (cos (/ K 2)) (* -2 J)))))>
13.890 * * * * [progress]: [ 79 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (* (cos (/ K 2)) (* -2 J)))))>
13.890 * * * * [progress]: [ 80 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt 1) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.890 * * * * [progress]: [ 81 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.890 * * * * [progress]: [ 82 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.890 * * * * [progress]: [ 83 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* 1 (* (cos (/ K 2)) (* -2 J)))))>
13.890 * * * * [progress]: [ 84 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) (* (cos (/ K 2)) (* -2 J)))))>
13.890 * * * * [progress]: [ 85 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) (* (cos (/ K 2)) (* -2 J)))))>
13.891 * * * * [progress]: [ 86 / 88 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.891 * * * * [progress]: [ 87 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.891 * * * * [progress]: [ 88 / 88 ] simplifiying candidate #<alt (λ (J K U) (* (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))>
13.893 * [simplify]: Simplifying:
  (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3)))
  (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1)))
  (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (/ 1 2)
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3)))
  (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1)))
  (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (/ 1 2)
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (log (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (exp (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (* (cbrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))
  (cbrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))
  (sqrt (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))
  (sqrt (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (sqrt 1))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt 1)
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))))
  (sqrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))
  (sqrt (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))))
  (sqrt (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (/ 1/2 2)
  (/ 1 2)
  (/ (/ 1 2) 2)
  (sqrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (real->posit16 (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (log (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (exp (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (* (cbrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))
  (cbrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))
  (sqrt (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))
  (sqrt (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (sqrt 1))
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  (sqrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt 1)
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))))
  (sqrt (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))))
  (sqrt (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))))
  (sqrt (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (/ 1/2 2)
  (/ 1 2)
  (/ (/ 1 2) 2)
  (sqrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (real->posit16 (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  1
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  1
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  1
  (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U))))))
  (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U))))))
  1
  (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U))))))
  (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U))))))
13.897 * * [simplify]: iteration 1: (92 enodes)
13.942 * * [simplify]: iteration 2: (182 enodes)
14.026 * * [simplify]: iteration 3: (449 enodes)
14.580 * * [simplify]: iteration 4: (1864 enodes)
32.088 * * [simplify]: Extracting #0: cost 35 inf + 0
32.088 * * [simplify]: Extracting #1: cost 124 inf + 3
32.090 * * [simplify]: Extracting #2: cost 502 inf + 655
32.103 * * [simplify]: Extracting #3: cost 2130 inf + 1633
32.137 * * [simplify]: Extracting #4: cost 4190 inf + 17694
32.242 * * [simplify]: Extracting #5: cost 3481 inf + 228781
32.725 * * [simplify]: Extracting #6: cost 868 inf + 1263546
33.377 * * [simplify]: Extracting #7: cost 33 inf + 1592419
34.029 * * [simplify]: Extracting #8: cost 2 inf + 1599719
34.712 * * [simplify]: Extracting #9: cost 0 inf + 1599549
35.295 * * [simplify]: Extracting #10: cost 0 inf + 1598671
35.959 * [simplify]: Simplified to:
  (log (sqrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1)))
  (exp (sqrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1)))
  (* (cbrt (sqrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1))))
  (cbrt (sqrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1)))
  (* (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1) (sqrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1)))
  (fabs (cbrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1)))
  (sqrt (cbrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1)))
  1
  (sqrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1))
  (sqrt (+ (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) 1))
  (sqrt (- 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (- 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))
  (sqrt (+ -1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (sqrt (+ -1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))
  1/2
  (sqrt (sqrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1)))
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  (log (sqrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1)))
  (exp (sqrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1)))
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  (cbrt (sqrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1)))
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  (sqrt (cbrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1)))
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  (sqrt (sqrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1)))
  1
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  (sqrt (+ (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) 1))
  (sqrt (- 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (- 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))
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  1/2
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  (log (sqrt (sqrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1))))
  (exp (sqrt (sqrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1))))
  (* (cbrt (sqrt (sqrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1)))) (cbrt (sqrt (sqrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1)))))
  (cbrt (sqrt (sqrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1))))
  (* (sqrt (sqrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1))) (sqrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1)))
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  (sqrt (cbrt (sqrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1))))
  (sqrt (fabs (cbrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1))))
  (sqrt (sqrt (cbrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1))))
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  1
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  1
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  1/4
  1/2
  1/4
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  (cbrt (sqrt (sqrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1))))
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  (sqrt (sqrt (sqrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1))))
  1
  (sqrt (sqrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1)))
  (sqrt (sqrt (sqrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1))))
  (sqrt (sqrt (sqrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1))))
  1
  (sqrt (sqrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) 1)))
  (sqrt (sqrt (- 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (- 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))))
  (sqrt (sqrt (+ -1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))
  (sqrt (sqrt (+ -1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  1/4
  1/2
  1/4
  (sqrt (sqrt (sqrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1))))
  (sqrt (sqrt (sqrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1))))
  (real->posit16 (sqrt (sqrt (+ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1))))
  1
  (/ (/ (* U 1/2) (cos (* 1/2 K))) J)
  (/ (/ (* U 1/2) (cos (* 1/2 K))) J)
  1
  (/ (/ (* U 1/2) (cos (* 1/2 K))) J)
  (/ (/ (* U 1/2) (cos (* 1/2 K))) J)
  1
  (exp (+ (* (log (/ 1/4 (* (cos (* 1/2 K)) (cos (* 1/2 K))))) 1/4) (* 1/2 (+ (- (log J)) (log U)))))
  (exp (+ (* (log (/ 1/4 (* (cos (* 1/2 K)) (cos (* 1/2 K))))) 1/4) (* 1/2 (- (log (/ -1 J)) (log (/ -1 U))))))
  1
  (exp (+ (* (log (/ 1/4 (* (cos (* 1/2 K)) (cos (* 1/2 K))))) 1/4) (* 1/2 (+ (- (log J)) (log U)))))
  (exp (+ (* (log (/ 1/4 (* (cos (* 1/2 K)) (cos (* 1/2 K))))) 1/4) (* 1/2 (- (log (/ -1 J)) (log (/ -1 U))))))
35.989 * * * [progress]: adding candidates to table
37.486 * * [progress]: iteration 4 / 4
37.487 * * * [progress]: picking best candidate
37.524 * * * * [pick]: Picked  #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
37.524 * * * [progress]: localizing error
37.600 * * * [progress]: generating rewritten candidates
37.600 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
37.785 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1)
37.944 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1)
38.111 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
38.480 * * * [progress]: generating series expansions
38.480 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
38.481 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
38.481 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0
38.481 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
38.481 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
38.481 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
38.481 * [taylor]: Taking taylor expansion of 1/4 in K
38.481 * [backup-simplify]: Simplify 1/4 into 1/4
38.481 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
38.481 * [taylor]: Taking taylor expansion of (pow U 2) in K
38.481 * [taylor]: Taking taylor expansion of U in K
38.481 * [backup-simplify]: Simplify U into U
38.481 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
38.481 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
38.481 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
38.481 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
38.481 * [taylor]: Taking taylor expansion of 1/2 in K
38.481 * [backup-simplify]: Simplify 1/2 into 1/2
38.481 * [taylor]: Taking taylor expansion of K in K
38.481 * [backup-simplify]: Simplify 0 into 0
38.481 * [backup-simplify]: Simplify 1 into 1
38.482 * [backup-simplify]: Simplify (* 1/2 0) into 0
38.483 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
38.483 * [taylor]: Taking taylor expansion of (pow J 2) in K
38.483 * [taylor]: Taking taylor expansion of J in K
38.483 * [backup-simplify]: Simplify J into J
38.483 * [backup-simplify]: Simplify (* U U) into (pow U 2)
38.484 * [backup-simplify]: Simplify (* 1 1) into 1
38.484 * [backup-simplify]: Simplify (* J J) into (pow J 2)
38.484 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
38.484 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
38.484 * [taylor]: Taking taylor expansion of 1 in K
38.484 * [backup-simplify]: Simplify 1 into 1
38.484 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
38.484 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
38.485 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
38.485 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
38.485 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
38.485 * [backup-simplify]: Simplify (+ 0) into 0
38.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
38.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
38.487 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
38.487 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
38.488 * [backup-simplify]: Simplify (+ 0 0) into 0
38.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
38.488 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
38.488 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
38.488 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
38.488 * [taylor]: Taking taylor expansion of 1/4 in J
38.488 * [backup-simplify]: Simplify 1/4 into 1/4
38.488 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
38.488 * [taylor]: Taking taylor expansion of (pow U 2) in J
38.488 * [taylor]: Taking taylor expansion of U in J
38.488 * [backup-simplify]: Simplify U into U
38.488 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
38.488 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
38.488 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
38.488 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
38.488 * [taylor]: Taking taylor expansion of 1/2 in J
38.488 * [backup-simplify]: Simplify 1/2 into 1/2
38.488 * [taylor]: Taking taylor expansion of K in J
38.488 * [backup-simplify]: Simplify K into K
38.488 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
38.488 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
38.489 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
38.489 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
38.489 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
38.489 * [backup-simplify]: Simplify (- 0) into 0
38.489 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
38.489 * [taylor]: Taking taylor expansion of (pow J 2) in J
38.489 * [taylor]: Taking taylor expansion of J in J
38.489 * [backup-simplify]: Simplify 0 into 0
38.489 * [backup-simplify]: Simplify 1 into 1
38.489 * [backup-simplify]: Simplify (* U U) into (pow U 2)
38.490 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
38.490 * [backup-simplify]: Simplify (* 1 1) into 1
38.490 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
38.490 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
38.490 * [taylor]: Taking taylor expansion of 1 in J
38.490 * [backup-simplify]: Simplify 1 into 1
38.491 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
38.491 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
38.491 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
38.491 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
38.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
38.492 * [backup-simplify]: Simplify (+ 0) into 0
38.493 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
38.493 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
38.494 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
38.495 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
38.495 * [backup-simplify]: Simplify (- 0) into 0
38.495 * [backup-simplify]: Simplify (+ 0 0) into 0
38.495 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
38.496 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
38.496 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
38.497 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
38.497 * [backup-simplify]: Simplify (+ 0 0) into 0
38.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
38.498 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
38.498 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
38.498 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
38.498 * [taylor]: Taking taylor expansion of 1/4 in U
38.498 * [backup-simplify]: Simplify 1/4 into 1/4
38.498 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
38.498 * [taylor]: Taking taylor expansion of (pow U 2) in U
38.498 * [taylor]: Taking taylor expansion of U in U
38.498 * [backup-simplify]: Simplify 0 into 0
38.498 * [backup-simplify]: Simplify 1 into 1
38.498 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
38.498 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
38.498 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
38.498 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
38.498 * [taylor]: Taking taylor expansion of 1/2 in U
38.498 * [backup-simplify]: Simplify 1/2 into 1/2
38.498 * [taylor]: Taking taylor expansion of K in U
38.498 * [backup-simplify]: Simplify K into K
38.498 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
38.498 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
38.498 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
38.498 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
38.498 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
38.499 * [backup-simplify]: Simplify (- 0) into 0
38.499 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
38.499 * [taylor]: Taking taylor expansion of (pow J 2) in U
38.499 * [taylor]: Taking taylor expansion of J in U
38.499 * [backup-simplify]: Simplify J into J
38.499 * [backup-simplify]: Simplify (* 1 1) into 1
38.500 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
38.500 * [backup-simplify]: Simplify (* J J) into (pow J 2)
38.500 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
38.500 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
38.500 * [taylor]: Taking taylor expansion of 1 in U
38.500 * [backup-simplify]: Simplify 1 into 1
38.500 * [backup-simplify]: Simplify (+ 0 1) into 1
38.501 * [backup-simplify]: Simplify (sqrt 1) into 1
38.501 * [backup-simplify]: Simplify (+ 0 0) into 0
38.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
38.502 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
38.502 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
38.502 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
38.502 * [taylor]: Taking taylor expansion of 1/4 in U
38.502 * [backup-simplify]: Simplify 1/4 into 1/4
38.502 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
38.502 * [taylor]: Taking taylor expansion of (pow U 2) in U
38.502 * [taylor]: Taking taylor expansion of U in U
38.502 * [backup-simplify]: Simplify 0 into 0
38.502 * [backup-simplify]: Simplify 1 into 1
38.502 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
38.502 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
38.502 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
38.502 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
38.502 * [taylor]: Taking taylor expansion of 1/2 in U
38.502 * [backup-simplify]: Simplify 1/2 into 1/2
38.502 * [taylor]: Taking taylor expansion of K in U
38.502 * [backup-simplify]: Simplify K into K
38.502 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
38.502 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
38.503 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
38.503 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
38.503 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
38.503 * [backup-simplify]: Simplify (- 0) into 0
38.503 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
38.503 * [taylor]: Taking taylor expansion of (pow J 2) in U
38.503 * [taylor]: Taking taylor expansion of J in U
38.503 * [backup-simplify]: Simplify J into J
38.504 * [backup-simplify]: Simplify (* 1 1) into 1
38.504 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
38.504 * [backup-simplify]: Simplify (* J J) into (pow J 2)
38.504 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
38.504 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
38.505 * [taylor]: Taking taylor expansion of 1 in U
38.505 * [backup-simplify]: Simplify 1 into 1
38.505 * [backup-simplify]: Simplify (+ 0 1) into 1
38.506 * [backup-simplify]: Simplify (sqrt 1) into 1
38.506 * [backup-simplify]: Simplify (+ 0 0) into 0
38.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
38.507 * [taylor]: Taking taylor expansion of 1 in J
38.507 * [backup-simplify]: Simplify 1 into 1
38.507 * [taylor]: Taking taylor expansion of 0 in J
38.507 * [backup-simplify]: Simplify 0 into 0
38.507 * [taylor]: Taking taylor expansion of 1 in K
38.507 * [backup-simplify]: Simplify 1 into 1
38.507 * [backup-simplify]: Simplify 1 into 1
38.507 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
38.508 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
38.509 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
38.509 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
38.509 * [taylor]: Taking taylor expansion of 1/8 in J
38.509 * [backup-simplify]: Simplify 1/8 into 1/8
38.509 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
38.509 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
38.509 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
38.509 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
38.509 * [taylor]: Taking taylor expansion of 1/2 in J
38.509 * [backup-simplify]: Simplify 1/2 into 1/2
38.509 * [taylor]: Taking taylor expansion of K in J
38.509 * [backup-simplify]: Simplify K into K
38.509 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
38.509 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
38.509 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
38.510 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
38.510 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
38.510 * [backup-simplify]: Simplify (- 0) into 0
38.510 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
38.510 * [taylor]: Taking taylor expansion of (pow J 2) in J
38.510 * [taylor]: Taking taylor expansion of J in J
38.510 * [backup-simplify]: Simplify 0 into 0
38.510 * [backup-simplify]: Simplify 1 into 1
38.510 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
38.511 * [backup-simplify]: Simplify (* 1 1) into 1
38.511 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
38.511 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
38.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
38.512 * [backup-simplify]: Simplify (+ 0) into 0
38.512 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
38.513 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
38.514 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
38.514 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
38.515 * [backup-simplify]: Simplify (- 0) into 0
38.515 * [backup-simplify]: Simplify (+ 0 0) into 0
38.515 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
38.516 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
38.516 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
38.516 * [taylor]: Taking taylor expansion of 0 in K
38.516 * [backup-simplify]: Simplify 0 into 0
38.516 * [backup-simplify]: Simplify 0 into 0
38.516 * [taylor]: Taking taylor expansion of 0 in K
38.516 * [backup-simplify]: Simplify 0 into 0
38.516 * [backup-simplify]: Simplify 0 into 0
38.516 * [taylor]: Taking taylor expansion of 0 in K
38.516 * [backup-simplify]: Simplify 0 into 0
38.516 * [backup-simplify]: Simplify 0 into 0
38.517 * [backup-simplify]: Simplify 0 into 0
38.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
38.517 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
38.518 * [backup-simplify]: Simplify (+ 0) into 0
38.518 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
38.519 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
38.519 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
38.520 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
38.520 * [backup-simplify]: Simplify (- 0) into 0
38.520 * [backup-simplify]: Simplify (+ 0 0) into 0
38.521 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
38.521 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
38.521 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
38.522 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
38.522 * [backup-simplify]: Simplify (+ 0 0) into 0
38.523 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
38.523 * [taylor]: Taking taylor expansion of 0 in J
38.523 * [backup-simplify]: Simplify 0 into 0
38.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
38.525 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
38.526 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
38.526 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
38.527 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
38.528 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
38.528 * [backup-simplify]: Simplify (- 0) into 0
38.528 * [backup-simplify]: Simplify (+ 0 0) into 0
38.529 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
38.530 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
38.530 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
38.530 * [taylor]: Taking taylor expansion of 0 in K
38.530 * [backup-simplify]: Simplify 0 into 0
38.530 * [backup-simplify]: Simplify 0 into 0
38.530 * [taylor]: Taking taylor expansion of 0 in K
38.530 * [backup-simplify]: Simplify 0 into 0
38.530 * [backup-simplify]: Simplify 0 into 0
38.530 * [backup-simplify]: Simplify 1 into 1
38.531 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
38.531 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0
38.531 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
38.531 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
38.531 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
38.531 * [taylor]: Taking taylor expansion of 1/4 in K
38.531 * [backup-simplify]: Simplify 1/4 into 1/4
38.531 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
38.531 * [taylor]: Taking taylor expansion of (pow J 2) in K
38.531 * [taylor]: Taking taylor expansion of J in K
38.531 * [backup-simplify]: Simplify J into J
38.531 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
38.531 * [taylor]: Taking taylor expansion of (pow U 2) in K
38.531 * [taylor]: Taking taylor expansion of U in K
38.531 * [backup-simplify]: Simplify U into U
38.531 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
38.531 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
38.531 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
38.531 * [taylor]: Taking taylor expansion of 1/2 in K
38.531 * [backup-simplify]: Simplify 1/2 into 1/2
38.531 * [taylor]: Taking taylor expansion of K in K
38.531 * [backup-simplify]: Simplify 0 into 0
38.531 * [backup-simplify]: Simplify 1 into 1
38.532 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
38.532 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
38.532 * [backup-simplify]: Simplify (* J J) into (pow J 2)
38.532 * [backup-simplify]: Simplify (* U U) into (pow U 2)
38.532 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
38.532 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
38.533 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
38.533 * [taylor]: Taking taylor expansion of 1 in K
38.533 * [backup-simplify]: Simplify 1 into 1
38.533 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
38.533 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
38.534 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
38.534 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
38.534 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
38.534 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
38.534 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
38.535 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
38.536 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
38.536 * [backup-simplify]: Simplify (+ 0 0) into 0
38.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
38.537 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
38.537 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
38.537 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
38.537 * [taylor]: Taking taylor expansion of 1/4 in J
38.537 * [backup-simplify]: Simplify 1/4 into 1/4
38.537 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
38.537 * [taylor]: Taking taylor expansion of (pow J 2) in J
38.537 * [taylor]: Taking taylor expansion of J in J
38.537 * [backup-simplify]: Simplify 0 into 0
38.537 * [backup-simplify]: Simplify 1 into 1
38.537 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
38.537 * [taylor]: Taking taylor expansion of (pow U 2) in J
38.537 * [taylor]: Taking taylor expansion of U in J
38.537 * [backup-simplify]: Simplify U into U
38.537 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
38.537 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
38.537 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
38.537 * [taylor]: Taking taylor expansion of 1/2 in J
38.537 * [backup-simplify]: Simplify 1/2 into 1/2
38.537 * [taylor]: Taking taylor expansion of K in J
38.537 * [backup-simplify]: Simplify K into K
38.537 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
38.537 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
38.537 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
38.537 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
38.537 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
38.538 * [backup-simplify]: Simplify (- 0) into 0
38.538 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
38.538 * [backup-simplify]: Simplify (* 1 1) into 1
38.538 * [backup-simplify]: Simplify (* U U) into (pow U 2)
38.539 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
38.539 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
38.539 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
38.539 * [taylor]: Taking taylor expansion of 1 in J
38.539 * [backup-simplify]: Simplify 1 into 1
38.539 * [backup-simplify]: Simplify (+ 0 1) into 1
38.540 * [backup-simplify]: Simplify (sqrt 1) into 1
38.540 * [backup-simplify]: Simplify (+ 0 0) into 0
38.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
38.541 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
38.541 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
38.541 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
38.541 * [taylor]: Taking taylor expansion of 1/4 in U
38.541 * [backup-simplify]: Simplify 1/4 into 1/4
38.541 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
38.541 * [taylor]: Taking taylor expansion of (pow J 2) in U
38.541 * [taylor]: Taking taylor expansion of J in U
38.541 * [backup-simplify]: Simplify J into J
38.541 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
38.541 * [taylor]: Taking taylor expansion of (pow U 2) in U
38.541 * [taylor]: Taking taylor expansion of U in U
38.541 * [backup-simplify]: Simplify 0 into 0
38.541 * [backup-simplify]: Simplify 1 into 1
38.541 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
38.541 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
38.541 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
38.541 * [taylor]: Taking taylor expansion of 1/2 in U
38.541 * [backup-simplify]: Simplify 1/2 into 1/2
38.541 * [taylor]: Taking taylor expansion of K in U
38.541 * [backup-simplify]: Simplify K into K
38.541 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
38.541 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
38.541 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
38.541 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
38.542 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
38.542 * [backup-simplify]: Simplify (- 0) into 0
38.542 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
38.542 * [backup-simplify]: Simplify (* J J) into (pow J 2)
38.542 * [backup-simplify]: Simplify (* 1 1) into 1
38.543 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
38.543 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
38.543 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
38.543 * [taylor]: Taking taylor expansion of 1 in U
38.543 * [backup-simplify]: Simplify 1 into 1
38.543 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
38.543 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
38.544 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
38.544 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
38.544 * [backup-simplify]: Simplify (+ 0) into 0
38.545 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
38.545 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
38.545 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
38.546 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
38.546 * [backup-simplify]: Simplify (- 0) into 0
38.546 * [backup-simplify]: Simplify (+ 0 0) into 0
38.547 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
38.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
38.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
38.548 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
38.549 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
38.549 * [backup-simplify]: Simplify (+ 0 0) into 0
38.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
38.550 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
38.550 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
38.550 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
38.550 * [taylor]: Taking taylor expansion of 1/4 in U
38.550 * [backup-simplify]: Simplify 1/4 into 1/4
38.550 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
38.550 * [taylor]: Taking taylor expansion of (pow J 2) in U
38.550 * [taylor]: Taking taylor expansion of J in U
38.550 * [backup-simplify]: Simplify J into J
38.550 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
38.550 * [taylor]: Taking taylor expansion of (pow U 2) in U
38.550 * [taylor]: Taking taylor expansion of U in U
38.550 * [backup-simplify]: Simplify 0 into 0
38.550 * [backup-simplify]: Simplify 1 into 1
38.550 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
38.550 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
38.550 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
38.550 * [taylor]: Taking taylor expansion of 1/2 in U
38.550 * [backup-simplify]: Simplify 1/2 into 1/2
38.550 * [taylor]: Taking taylor expansion of K in U
38.550 * [backup-simplify]: Simplify K into K
38.550 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
38.550 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
38.550 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
38.550 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
38.550 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
38.551 * [backup-simplify]: Simplify (- 0) into 0
38.551 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
38.551 * [backup-simplify]: Simplify (* J J) into (pow J 2)
38.551 * [backup-simplify]: Simplify (* 1 1) into 1
38.552 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
38.552 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
38.552 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
38.552 * [taylor]: Taking taylor expansion of 1 in U
38.552 * [backup-simplify]: Simplify 1 into 1
38.552 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
38.552 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
38.552 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
38.553 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
38.553 * [backup-simplify]: Simplify (+ 0) into 0
38.553 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
38.554 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
38.554 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
38.555 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
38.555 * [backup-simplify]: Simplify (- 0) into 0
38.556 * [backup-simplify]: Simplify (+ 0 0) into 0
38.556 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
38.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
38.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
38.557 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
38.558 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
38.559 * [backup-simplify]: Simplify (+ 0 0) into 0
38.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
38.559 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
38.559 * [taylor]: Taking taylor expansion of 1/2 in J
38.559 * [backup-simplify]: Simplify 1/2 into 1/2
38.559 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
38.559 * [taylor]: Taking taylor expansion of J in J
38.559 * [backup-simplify]: Simplify 0 into 0
38.559 * [backup-simplify]: Simplify 1 into 1
38.559 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
38.559 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
38.559 * [taylor]: Taking taylor expansion of 1/2 in J
38.559 * [backup-simplify]: Simplify 1/2 into 1/2
38.559 * [taylor]: Taking taylor expansion of K in J
38.559 * [backup-simplify]: Simplify K into K
38.559 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
38.560 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
38.560 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
38.560 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
38.560 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
38.560 * [backup-simplify]: Simplify (- 0) into 0
38.560 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
38.560 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
38.560 * [taylor]: Taking taylor expansion of 0 in J
38.560 * [backup-simplify]: Simplify 0 into 0
38.560 * [taylor]: Taking taylor expansion of 0 in K
38.560 * [backup-simplify]: Simplify 0 into 0
38.561 * [backup-simplify]: Simplify 0 into 0
38.561 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
38.561 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
38.561 * [taylor]: Taking taylor expansion of 1/2 in K
38.561 * [backup-simplify]: Simplify 1/2 into 1/2
38.561 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
38.561 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
38.561 * [taylor]: Taking taylor expansion of 1/2 in K
38.561 * [backup-simplify]: Simplify 1/2 into 1/2
38.561 * [taylor]: Taking taylor expansion of K in K
38.561 * [backup-simplify]: Simplify 0 into 0
38.561 * [backup-simplify]: Simplify 1 into 1
38.561 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
38.561 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
38.561 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
38.562 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
38.562 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
38.563 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
38.564 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
38.564 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
38.565 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
38.565 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
38.565 * [backup-simplify]: Simplify (- 0) into 0
38.566 * [backup-simplify]: Simplify (+ 0 0) into 0
38.566 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
38.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
38.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
38.568 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
38.569 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
38.570 * [backup-simplify]: Simplify (+ 0 1) into 1
38.571 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
38.571 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
38.571 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
38.571 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
38.571 * [taylor]: Taking taylor expansion of 1/2 in J
38.571 * [backup-simplify]: Simplify 1/2 into 1/2
38.571 * [taylor]: Taking taylor expansion of K in J
38.571 * [backup-simplify]: Simplify K into K
38.571 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
38.571 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
38.571 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
38.571 * [taylor]: Taking taylor expansion of J in J
38.571 * [backup-simplify]: Simplify 0 into 0
38.571 * [backup-simplify]: Simplify 1 into 1
38.571 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
38.571 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
38.572 * [backup-simplify]: Simplify (- 0) into 0
38.572 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
38.572 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
38.572 * [backup-simplify]: Simplify (+ 0) into 0
38.573 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
38.573 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
38.573 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
38.574 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
38.574 * [backup-simplify]: Simplify (- 0) into 0
38.575 * [backup-simplify]: Simplify (+ 0 0) into 0
38.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
38.576 * [taylor]: Taking taylor expansion of 0 in K
38.576 * [backup-simplify]: Simplify 0 into 0
38.576 * [backup-simplify]: Simplify 0 into 0
38.576 * [taylor]: Taking taylor expansion of 0 in K
38.576 * [backup-simplify]: Simplify 0 into 0
38.576 * [backup-simplify]: Simplify 0 into 0
38.577 * [backup-simplify]: Simplify (+ 0) into 0
38.577 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
38.577 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
38.578 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
38.578 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
38.579 * [backup-simplify]: Simplify (- 0) into 0
38.579 * [backup-simplify]: Simplify (+ 0 0) into 0
38.579 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
38.580 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
38.580 * [taylor]: Taking taylor expansion of 0 in K
38.580 * [backup-simplify]: Simplify 0 into 0
38.580 * [backup-simplify]: Simplify 0 into 0
38.580 * [backup-simplify]: Simplify 0 into 0
38.580 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
38.580 * [backup-simplify]: Simplify 0 into 0
38.581 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
38.582 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
38.583 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
38.583 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
38.585 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
38.585 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
38.586 * [backup-simplify]: Simplify (- 0) into 0
38.586 * [backup-simplify]: Simplify (+ 0 0) into 0
38.587 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
38.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
38.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
38.590 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
38.592 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
38.592 * [backup-simplify]: Simplify (+ 0 0) into 0
38.592 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
38.593 * [taylor]: Taking taylor expansion of 0 in J
38.593 * [backup-simplify]: Simplify 0 into 0
38.593 * [taylor]: Taking taylor expansion of 0 in K
38.593 * [backup-simplify]: Simplify 0 into 0
38.593 * [backup-simplify]: Simplify 0 into 0
38.593 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
38.594 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
38.594 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0
38.594 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
38.594 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
38.594 * [taylor]: Taking taylor expansion of 1 in K
38.594 * [backup-simplify]: Simplify 1 into 1
38.594 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
38.594 * [taylor]: Taking taylor expansion of 1/4 in K
38.594 * [backup-simplify]: Simplify 1/4 into 1/4
38.594 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
38.594 * [taylor]: Taking taylor expansion of (pow J 2) in K
38.594 * [taylor]: Taking taylor expansion of J in K
38.594 * [backup-simplify]: Simplify J into J
38.594 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
38.594 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
38.594 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
38.594 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
38.594 * [taylor]: Taking taylor expansion of -1/2 in K
38.594 * [backup-simplify]: Simplify -1/2 into -1/2
38.594 * [taylor]: Taking taylor expansion of K in K
38.594 * [backup-simplify]: Simplify 0 into 0
38.594 * [backup-simplify]: Simplify 1 into 1
38.595 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
38.595 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
38.595 * [taylor]: Taking taylor expansion of (pow U 2) in K
38.595 * [taylor]: Taking taylor expansion of U in K
38.595 * [backup-simplify]: Simplify U into U
38.595 * [backup-simplify]: Simplify (* J J) into (pow J 2)
38.595 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
38.595 * [backup-simplify]: Simplify (* U U) into (pow U 2)
38.595 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
38.596 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
38.596 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
38.596 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
38.597 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
38.597 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
38.597 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
38.597 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
38.597 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
38.598 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
38.599 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
38.599 * [backup-simplify]: Simplify (+ 0 0) into 0
38.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
38.600 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
38.600 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
38.600 * [taylor]: Taking taylor expansion of 1 in J
38.601 * [backup-simplify]: Simplify 1 into 1
38.601 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
38.601 * [taylor]: Taking taylor expansion of 1/4 in J
38.601 * [backup-simplify]: Simplify 1/4 into 1/4
38.601 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
38.601 * [taylor]: Taking taylor expansion of (pow J 2) in J
38.601 * [taylor]: Taking taylor expansion of J in J
38.601 * [backup-simplify]: Simplify 0 into 0
38.601 * [backup-simplify]: Simplify 1 into 1
38.601 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
38.601 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
38.601 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
38.601 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
38.601 * [taylor]: Taking taylor expansion of -1/2 in J
38.601 * [backup-simplify]: Simplify -1/2 into -1/2
38.601 * [taylor]: Taking taylor expansion of K in J
38.601 * [backup-simplify]: Simplify K into K
38.601 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
38.601 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
38.601 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
38.601 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
38.601 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
38.602 * [backup-simplify]: Simplify (- 0) into 0
38.602 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
38.602 * [taylor]: Taking taylor expansion of (pow U 2) in J
38.602 * [taylor]: Taking taylor expansion of U in J
38.602 * [backup-simplify]: Simplify U into U
38.602 * [backup-simplify]: Simplify (* 1 1) into 1
38.603 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
38.603 * [backup-simplify]: Simplify (* U U) into (pow U 2)
38.603 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
38.603 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
38.603 * [backup-simplify]: Simplify (+ 1 0) into 1
38.604 * [backup-simplify]: Simplify (sqrt 1) into 1
38.604 * [backup-simplify]: Simplify (+ 0 0) into 0
38.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
38.605 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
38.605 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
38.605 * [taylor]: Taking taylor expansion of 1 in U
38.605 * [backup-simplify]: Simplify 1 into 1
38.605 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
38.605 * [taylor]: Taking taylor expansion of 1/4 in U
38.605 * [backup-simplify]: Simplify 1/4 into 1/4
38.605 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
38.605 * [taylor]: Taking taylor expansion of (pow J 2) in U
38.605 * [taylor]: Taking taylor expansion of J in U
38.605 * [backup-simplify]: Simplify J into J
38.605 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
38.605 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
38.605 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
38.605 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
38.605 * [taylor]: Taking taylor expansion of -1/2 in U
38.605 * [backup-simplify]: Simplify -1/2 into -1/2
38.605 * [taylor]: Taking taylor expansion of K in U
38.606 * [backup-simplify]: Simplify K into K
38.606 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
38.606 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
38.606 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
38.606 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
38.606 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
38.610 * [backup-simplify]: Simplify (- 0) into 0
38.610 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
38.610 * [taylor]: Taking taylor expansion of (pow U 2) in U
38.610 * [taylor]: Taking taylor expansion of U in U
38.611 * [backup-simplify]: Simplify 0 into 0
38.611 * [backup-simplify]: Simplify 1 into 1
38.611 * [backup-simplify]: Simplify (* J J) into (pow J 2)
38.611 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
38.611 * [backup-simplify]: Simplify (* 1 1) into 1
38.612 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
38.612 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
38.612 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
38.612 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
38.613 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
38.613 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
38.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
38.614 * [backup-simplify]: Simplify (+ 0) into 0
38.614 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
38.615 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
38.616 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
38.616 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
38.617 * [backup-simplify]: Simplify (- 0) into 0
38.617 * [backup-simplify]: Simplify (+ 0 0) into 0
38.617 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
38.618 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
38.618 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
38.619 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
38.619 * [backup-simplify]: Simplify (+ 0 0) into 0
38.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
38.619 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
38.619 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
38.619 * [taylor]: Taking taylor expansion of 1 in U
38.619 * [backup-simplify]: Simplify 1 into 1
38.619 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
38.620 * [taylor]: Taking taylor expansion of 1/4 in U
38.620 * [backup-simplify]: Simplify 1/4 into 1/4
38.620 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
38.620 * [taylor]: Taking taylor expansion of (pow J 2) in U
38.620 * [taylor]: Taking taylor expansion of J in U
38.620 * [backup-simplify]: Simplify J into J
38.620 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
38.620 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
38.620 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
38.620 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
38.620 * [taylor]: Taking taylor expansion of -1/2 in U
38.620 * [backup-simplify]: Simplify -1/2 into -1/2
38.620 * [taylor]: Taking taylor expansion of K in U
38.620 * [backup-simplify]: Simplify K into K
38.620 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
38.620 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
38.620 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
38.620 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
38.620 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
38.621 * [backup-simplify]: Simplify (- 0) into 0
38.621 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
38.621 * [taylor]: Taking taylor expansion of (pow U 2) in U
38.621 * [taylor]: Taking taylor expansion of U in U
38.621 * [backup-simplify]: Simplify 0 into 0
38.621 * [backup-simplify]: Simplify 1 into 1
38.621 * [backup-simplify]: Simplify (* J J) into (pow J 2)
38.621 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
38.621 * [backup-simplify]: Simplify (* 1 1) into 1
38.622 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
38.622 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
38.622 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
38.622 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
38.623 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
38.623 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
38.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
38.624 * [backup-simplify]: Simplify (+ 0) into 0
38.624 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
38.625 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
38.625 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
38.626 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
38.626 * [backup-simplify]: Simplify (- 0) into 0
38.627 * [backup-simplify]: Simplify (+ 0 0) into 0
38.627 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
38.627 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
38.627 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
38.628 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
38.628 * [backup-simplify]: Simplify (+ 0 0) into 0
38.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
38.629 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
38.629 * [taylor]: Taking taylor expansion of 1/2 in J
38.629 * [backup-simplify]: Simplify 1/2 into 1/2
38.629 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
38.629 * [taylor]: Taking taylor expansion of J in J
38.629 * [backup-simplify]: Simplify 0 into 0
38.629 * [backup-simplify]: Simplify 1 into 1
38.629 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
38.629 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
38.629 * [taylor]: Taking taylor expansion of -1/2 in J
38.629 * [backup-simplify]: Simplify -1/2 into -1/2
38.629 * [taylor]: Taking taylor expansion of K in J
38.629 * [backup-simplify]: Simplify K into K
38.629 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
38.629 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
38.629 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
38.629 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
38.629 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
38.630 * [backup-simplify]: Simplify (- 0) into 0
38.630 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
38.630 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
38.630 * [taylor]: Taking taylor expansion of 0 in J
38.630 * [backup-simplify]: Simplify 0 into 0
38.630 * [taylor]: Taking taylor expansion of 0 in K
38.630 * [backup-simplify]: Simplify 0 into 0
38.630 * [backup-simplify]: Simplify 0 into 0
38.630 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
38.630 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
38.630 * [taylor]: Taking taylor expansion of 1/2 in K
38.630 * [backup-simplify]: Simplify 1/2 into 1/2
38.630 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
38.630 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
38.630 * [taylor]: Taking taylor expansion of -1/2 in K
38.630 * [backup-simplify]: Simplify -1/2 into -1/2
38.630 * [taylor]: Taking taylor expansion of K in K
38.630 * [backup-simplify]: Simplify 0 into 0
38.631 * [backup-simplify]: Simplify 1 into 1
38.631 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
38.631 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
38.631 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
38.631 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
38.632 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
38.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
38.633 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
38.634 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
38.634 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
38.635 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
38.635 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
38.636 * [backup-simplify]: Simplify (- 0) into 0
38.636 * [backup-simplify]: Simplify (+ 0 0) into 0
38.637 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
38.637 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
38.638 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
38.639 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
38.639 * [backup-simplify]: Simplify (+ 1 0) into 1
38.640 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
38.640 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
38.640 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
38.640 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
38.640 * [taylor]: Taking taylor expansion of -1/2 in J
38.640 * [backup-simplify]: Simplify -1/2 into -1/2
38.640 * [taylor]: Taking taylor expansion of K in J
38.640 * [backup-simplify]: Simplify K into K
38.640 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
38.640 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
38.640 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
38.640 * [taylor]: Taking taylor expansion of J in J
38.640 * [backup-simplify]: Simplify 0 into 0
38.640 * [backup-simplify]: Simplify 1 into 1
38.640 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
38.640 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
38.641 * [backup-simplify]: Simplify (- 0) into 0
38.641 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
38.641 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
38.641 * [backup-simplify]: Simplify (+ 0) into 0
38.642 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
38.642 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
38.643 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
38.643 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
38.643 * [backup-simplify]: Simplify (- 0) into 0
38.644 * [backup-simplify]: Simplify (+ 0 0) into 0
38.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
38.645 * [taylor]: Taking taylor expansion of 0 in K
38.645 * [backup-simplify]: Simplify 0 into 0
38.645 * [backup-simplify]: Simplify 0 into 0
38.645 * [taylor]: Taking taylor expansion of 0 in K
38.645 * [backup-simplify]: Simplify 0 into 0
38.645 * [backup-simplify]: Simplify 0 into 0
38.645 * [backup-simplify]: Simplify (+ 0) into 0
38.646 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
38.646 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
38.647 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
38.647 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
38.647 * [backup-simplify]: Simplify (- 0) into 0
38.648 * [backup-simplify]: Simplify (+ 0 0) into 0
38.648 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
38.648 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
38.648 * [taylor]: Taking taylor expansion of 0 in K
38.648 * [backup-simplify]: Simplify 0 into 0
38.648 * [backup-simplify]: Simplify 0 into 0
38.649 * [backup-simplify]: Simplify 0 into 0
38.649 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
38.649 * [backup-simplify]: Simplify 0 into 0
38.650 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
38.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
38.651 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
38.652 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
38.652 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
38.653 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
38.653 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
38.653 * [backup-simplify]: Simplify (- 0) into 0
38.654 * [backup-simplify]: Simplify (+ 0 0) into 0
38.654 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
38.655 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
38.655 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
38.656 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
38.656 * [backup-simplify]: Simplify (+ 0 0) into 0
38.656 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
38.656 * [taylor]: Taking taylor expansion of 0 in J
38.656 * [backup-simplify]: Simplify 0 into 0
38.656 * [taylor]: Taking taylor expansion of 0 in K
38.656 * [backup-simplify]: Simplify 0 into 0
38.656 * [backup-simplify]: Simplify 0 into 0
38.657 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
38.657 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1)
38.657 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
38.657 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0
38.657 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
38.657 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
38.657 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
38.657 * [taylor]: Taking taylor expansion of 1/4 in K
38.657 * [backup-simplify]: Simplify 1/4 into 1/4
38.657 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
38.657 * [taylor]: Taking taylor expansion of (pow U 2) in K
38.657 * [taylor]: Taking taylor expansion of U in K
38.657 * [backup-simplify]: Simplify U into U
38.657 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
38.657 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
38.657 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
38.657 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
38.657 * [taylor]: Taking taylor expansion of 1/2 in K
38.657 * [backup-simplify]: Simplify 1/2 into 1/2
38.657 * [taylor]: Taking taylor expansion of K in K
38.657 * [backup-simplify]: Simplify 0 into 0
38.657 * [backup-simplify]: Simplify 1 into 1
38.658 * [backup-simplify]: Simplify (* 1/2 0) into 0
38.658 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
38.658 * [taylor]: Taking taylor expansion of (pow J 2) in K
38.658 * [taylor]: Taking taylor expansion of J in K
38.658 * [backup-simplify]: Simplify J into J
38.658 * [backup-simplify]: Simplify (* U U) into (pow U 2)
38.658 * [backup-simplify]: Simplify (* 1 1) into 1
38.658 * [backup-simplify]: Simplify (* J J) into (pow J 2)
38.658 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
38.659 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
38.659 * [taylor]: Taking taylor expansion of 1 in K
38.659 * [backup-simplify]: Simplify 1 into 1
38.659 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
38.659 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
38.659 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
38.659 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
38.659 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
38.659 * [backup-simplify]: Simplify (+ 0) into 0
38.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
38.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
38.660 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
38.661 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
38.661 * [backup-simplify]: Simplify (+ 0 0) into 0
38.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
38.661 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
38.661 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
38.661 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
38.661 * [taylor]: Taking taylor expansion of 1/4 in J
38.661 * [backup-simplify]: Simplify 1/4 into 1/4
38.661 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
38.661 * [taylor]: Taking taylor expansion of (pow U 2) in J
38.661 * [taylor]: Taking taylor expansion of U in J
38.661 * [backup-simplify]: Simplify U into U
38.661 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
38.661 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
38.661 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
38.661 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
38.661 * [taylor]: Taking taylor expansion of 1/2 in J
38.661 * [backup-simplify]: Simplify 1/2 into 1/2
38.661 * [taylor]: Taking taylor expansion of K in J
38.661 * [backup-simplify]: Simplify K into K
38.661 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
38.661 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
38.661 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
38.662 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
38.662 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
38.662 * [backup-simplify]: Simplify (- 0) into 0
38.662 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
38.662 * [taylor]: Taking taylor expansion of (pow J 2) in J
38.662 * [taylor]: Taking taylor expansion of J in J
38.662 * [backup-simplify]: Simplify 0 into 0
38.662 * [backup-simplify]: Simplify 1 into 1
38.662 * [backup-simplify]: Simplify (* U U) into (pow U 2)
38.662 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
38.662 * [backup-simplify]: Simplify (* 1 1) into 1
38.662 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
38.663 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
38.663 * [taylor]: Taking taylor expansion of 1 in J
38.663 * [backup-simplify]: Simplify 1 into 1
38.663 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
38.663 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
38.663 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
38.663 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
38.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
38.664 * [backup-simplify]: Simplify (+ 0) into 0
38.664 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
38.664 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
38.665 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
38.665 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
38.665 * [backup-simplify]: Simplify (- 0) into 0
38.666 * [backup-simplify]: Simplify (+ 0 0) into 0
38.666 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
38.666 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
38.667 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
38.667 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
38.667 * [backup-simplify]: Simplify (+ 0 0) into 0
38.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
38.668 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
38.668 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
38.668 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
38.668 * [taylor]: Taking taylor expansion of 1/4 in U
38.668 * [backup-simplify]: Simplify 1/4 into 1/4
38.668 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
38.668 * [taylor]: Taking taylor expansion of (pow U 2) in U
38.668 * [taylor]: Taking taylor expansion of U in U
38.668 * [backup-simplify]: Simplify 0 into 0
38.668 * [backup-simplify]: Simplify 1 into 1
38.668 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
38.668 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
38.668 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
38.668 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
38.668 * [taylor]: Taking taylor expansion of 1/2 in U
38.668 * [backup-simplify]: Simplify 1/2 into 1/2
38.668 * [taylor]: Taking taylor expansion of K in U
38.668 * [backup-simplify]: Simplify K into K
38.668 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
38.668 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
38.668 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
38.668 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
38.668 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
38.668 * [backup-simplify]: Simplify (- 0) into 0
38.668 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
38.668 * [taylor]: Taking taylor expansion of (pow J 2) in U
38.668 * [taylor]: Taking taylor expansion of J in U
38.668 * [backup-simplify]: Simplify J into J
38.669 * [backup-simplify]: Simplify (* 1 1) into 1
38.669 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
38.669 * [backup-simplify]: Simplify (* J J) into (pow J 2)
38.669 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
38.669 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
38.669 * [taylor]: Taking taylor expansion of 1 in U
38.669 * [backup-simplify]: Simplify 1 into 1
38.669 * [backup-simplify]: Simplify (+ 0 1) into 1
38.670 * [backup-simplify]: Simplify (sqrt 1) into 1
38.670 * [backup-simplify]: Simplify (+ 0 0) into 0
38.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
38.670 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
38.670 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
38.670 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
38.670 * [taylor]: Taking taylor expansion of 1/4 in U
38.670 * [backup-simplify]: Simplify 1/4 into 1/4
38.670 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
38.671 * [taylor]: Taking taylor expansion of (pow U 2) in U
38.671 * [taylor]: Taking taylor expansion of U in U
38.671 * [backup-simplify]: Simplify 0 into 0
38.671 * [backup-simplify]: Simplify 1 into 1
38.671 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
38.671 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
38.671 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
38.671 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
38.671 * [taylor]: Taking taylor expansion of 1/2 in U
38.671 * [backup-simplify]: Simplify 1/2 into 1/2
38.671 * [taylor]: Taking taylor expansion of K in U
38.671 * [backup-simplify]: Simplify K into K
38.671 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
38.671 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
38.671 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
38.671 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
38.671 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
38.671 * [backup-simplify]: Simplify (- 0) into 0
38.671 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
38.671 * [taylor]: Taking taylor expansion of (pow J 2) in U
38.671 * [taylor]: Taking taylor expansion of J in U
38.671 * [backup-simplify]: Simplify J into J
38.672 * [backup-simplify]: Simplify (* 1 1) into 1
38.672 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
38.672 * [backup-simplify]: Simplify (* J J) into (pow J 2)
38.672 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
38.672 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
38.672 * [taylor]: Taking taylor expansion of 1 in U
38.672 * [backup-simplify]: Simplify 1 into 1
38.672 * [backup-simplify]: Simplify (+ 0 1) into 1
38.672 * [backup-simplify]: Simplify (sqrt 1) into 1
38.673 * [backup-simplify]: Simplify (+ 0 0) into 0
38.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
38.673 * [taylor]: Taking taylor expansion of 1 in J
38.673 * [backup-simplify]: Simplify 1 into 1
38.673 * [taylor]: Taking taylor expansion of 0 in J
38.673 * [backup-simplify]: Simplify 0 into 0
38.673 * [taylor]: Taking taylor expansion of 1 in K
38.673 * [backup-simplify]: Simplify 1 into 1
38.673 * [backup-simplify]: Simplify 1 into 1
38.673 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
38.674 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
38.674 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
38.674 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
38.674 * [taylor]: Taking taylor expansion of 1/8 in J
38.675 * [backup-simplify]: Simplify 1/8 into 1/8
38.675 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
38.675 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
38.675 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
38.675 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
38.675 * [taylor]: Taking taylor expansion of 1/2 in J
38.675 * [backup-simplify]: Simplify 1/2 into 1/2
38.675 * [taylor]: Taking taylor expansion of K in J
38.675 * [backup-simplify]: Simplify K into K
38.675 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
38.675 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
38.675 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
38.675 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
38.675 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
38.675 * [backup-simplify]: Simplify (- 0) into 0
38.675 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
38.675 * [taylor]: Taking taylor expansion of (pow J 2) in J
38.675 * [taylor]: Taking taylor expansion of J in J
38.675 * [backup-simplify]: Simplify 0 into 0
38.675 * [backup-simplify]: Simplify 1 into 1
38.675 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
38.676 * [backup-simplify]: Simplify (* 1 1) into 1
38.676 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
38.676 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
38.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
38.676 * [backup-simplify]: Simplify (+ 0) into 0
38.677 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
38.677 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
38.678 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
38.678 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
38.678 * [backup-simplify]: Simplify (- 0) into 0
38.678 * [backup-simplify]: Simplify (+ 0 0) into 0
38.678 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
38.679 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
38.679 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
38.679 * [taylor]: Taking taylor expansion of 0 in K
38.679 * [backup-simplify]: Simplify 0 into 0
38.679 * [backup-simplify]: Simplify 0 into 0
38.679 * [taylor]: Taking taylor expansion of 0 in K
38.679 * [backup-simplify]: Simplify 0 into 0
38.679 * [backup-simplify]: Simplify 0 into 0
38.679 * [taylor]: Taking taylor expansion of 0 in K
38.679 * [backup-simplify]: Simplify 0 into 0
38.679 * [backup-simplify]: Simplify 0 into 0
38.679 * [backup-simplify]: Simplify 0 into 0
38.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
38.680 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
38.680 * [backup-simplify]: Simplify (+ 0) into 0
38.680 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
38.680 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
38.681 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
38.681 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
38.681 * [backup-simplify]: Simplify (- 0) into 0
38.682 * [backup-simplify]: Simplify (+ 0 0) into 0
38.682 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
38.682 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
38.682 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
38.683 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
38.683 * [backup-simplify]: Simplify (+ 0 0) into 0
38.683 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
38.683 * [taylor]: Taking taylor expansion of 0 in J
38.683 * [backup-simplify]: Simplify 0 into 0
38.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
38.685 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
38.685 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
38.686 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
38.686 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
38.686 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
38.687 * [backup-simplify]: Simplify (- 0) into 0
38.687 * [backup-simplify]: Simplify (+ 0 0) into 0
38.687 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
38.688 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
38.688 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
38.688 * [taylor]: Taking taylor expansion of 0 in K
38.688 * [backup-simplify]: Simplify 0 into 0
38.688 * [backup-simplify]: Simplify 0 into 0
38.688 * [taylor]: Taking taylor expansion of 0 in K
38.688 * [backup-simplify]: Simplify 0 into 0
38.688 * [backup-simplify]: Simplify 0 into 0
38.688 * [backup-simplify]: Simplify 1 into 1
38.688 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
38.688 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0
38.689 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
38.689 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
38.689 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
38.689 * [taylor]: Taking taylor expansion of 1/4 in K
38.689 * [backup-simplify]: Simplify 1/4 into 1/4
38.689 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
38.689 * [taylor]: Taking taylor expansion of (pow J 2) in K
38.689 * [taylor]: Taking taylor expansion of J in K
38.689 * [backup-simplify]: Simplify J into J
38.689 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
38.689 * [taylor]: Taking taylor expansion of (pow U 2) in K
38.689 * [taylor]: Taking taylor expansion of U in K
38.689 * [backup-simplify]: Simplify U into U
38.689 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
38.689 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
38.689 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
38.689 * [taylor]: Taking taylor expansion of 1/2 in K
38.689 * [backup-simplify]: Simplify 1/2 into 1/2
38.689 * [taylor]: Taking taylor expansion of K in K
38.689 * [backup-simplify]: Simplify 0 into 0
38.689 * [backup-simplify]: Simplify 1 into 1
38.689 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
38.689 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
38.689 * [backup-simplify]: Simplify (* J J) into (pow J 2)
38.689 * [backup-simplify]: Simplify (* U U) into (pow U 2)
38.689 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
38.689 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
38.690 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
38.690 * [taylor]: Taking taylor expansion of 1 in K
38.690 * [backup-simplify]: Simplify 1 into 1
38.690 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
38.690 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
38.690 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
38.690 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
38.690 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
38.690 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
38.690 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
38.691 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
38.691 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
38.692 * [backup-simplify]: Simplify (+ 0 0) into 0
38.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
38.692 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
38.692 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
38.692 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
38.692 * [taylor]: Taking taylor expansion of 1/4 in J
38.692 * [backup-simplify]: Simplify 1/4 into 1/4
38.692 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
38.692 * [taylor]: Taking taylor expansion of (pow J 2) in J
38.692 * [taylor]: Taking taylor expansion of J in J
38.692 * [backup-simplify]: Simplify 0 into 0
38.692 * [backup-simplify]: Simplify 1 into 1
38.692 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
38.692 * [taylor]: Taking taylor expansion of (pow U 2) in J
38.692 * [taylor]: Taking taylor expansion of U in J
38.692 * [backup-simplify]: Simplify U into U
38.692 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
38.692 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
38.692 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
38.692 * [taylor]: Taking taylor expansion of 1/2 in J
38.692 * [backup-simplify]: Simplify 1/2 into 1/2
38.692 * [taylor]: Taking taylor expansion of K in J
38.692 * [backup-simplify]: Simplify K into K
38.692 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
38.692 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
38.692 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
38.692 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
38.692 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
38.693 * [backup-simplify]: Simplify (- 0) into 0
38.693 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
38.693 * [backup-simplify]: Simplify (* 1 1) into 1
38.693 * [backup-simplify]: Simplify (* U U) into (pow U 2)
38.693 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
38.693 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
38.693 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
38.693 * [taylor]: Taking taylor expansion of 1 in J
38.693 * [backup-simplify]: Simplify 1 into 1
38.694 * [backup-simplify]: Simplify (+ 0 1) into 1
38.694 * [backup-simplify]: Simplify (sqrt 1) into 1
38.694 * [backup-simplify]: Simplify (+ 0 0) into 0
38.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
38.694 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
38.695 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
38.695 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
38.695 * [taylor]: Taking taylor expansion of 1/4 in U
38.695 * [backup-simplify]: Simplify 1/4 into 1/4
38.695 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
38.695 * [taylor]: Taking taylor expansion of (pow J 2) in U
38.695 * [taylor]: Taking taylor expansion of J in U
38.695 * [backup-simplify]: Simplify J into J
38.695 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
38.695 * [taylor]: Taking taylor expansion of (pow U 2) in U
38.695 * [taylor]: Taking taylor expansion of U in U
38.695 * [backup-simplify]: Simplify 0 into 0
38.695 * [backup-simplify]: Simplify 1 into 1
38.695 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
38.695 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
38.695 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
38.695 * [taylor]: Taking taylor expansion of 1/2 in U
38.695 * [backup-simplify]: Simplify 1/2 into 1/2
38.695 * [taylor]: Taking taylor expansion of K in U
38.695 * [backup-simplify]: Simplify K into K
38.695 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
38.695 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
38.695 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
38.695 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
38.695 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
38.695 * [backup-simplify]: Simplify (- 0) into 0
38.695 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
38.695 * [backup-simplify]: Simplify (* J J) into (pow J 2)
38.696 * [backup-simplify]: Simplify (* 1 1) into 1
38.696 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
38.696 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
38.696 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
38.696 * [taylor]: Taking taylor expansion of 1 in U
38.696 * [backup-simplify]: Simplify 1 into 1
38.696 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
38.696 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
38.696 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
38.696 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
38.697 * [backup-simplify]: Simplify (+ 0) into 0
38.697 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
38.697 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
38.698 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
38.698 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
38.698 * [backup-simplify]: Simplify (- 0) into 0
38.698 * [backup-simplify]: Simplify (+ 0 0) into 0
38.699 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
38.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
38.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
38.700 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
38.701 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
38.701 * [backup-simplify]: Simplify (+ 0 0) into 0
38.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
38.702 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
38.702 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
38.702 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
38.702 * [taylor]: Taking taylor expansion of 1/4 in U
38.702 * [backup-simplify]: Simplify 1/4 into 1/4
38.702 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
38.702 * [taylor]: Taking taylor expansion of (pow J 2) in U
38.702 * [taylor]: Taking taylor expansion of J in U
38.702 * [backup-simplify]: Simplify J into J
38.702 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
38.702 * [taylor]: Taking taylor expansion of (pow U 2) in U
38.702 * [taylor]: Taking taylor expansion of U in U
38.702 * [backup-simplify]: Simplify 0 into 0
38.702 * [backup-simplify]: Simplify 1 into 1
38.702 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
38.702 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
38.702 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
38.702 * [taylor]: Taking taylor expansion of 1/2 in U
38.702 * [backup-simplify]: Simplify 1/2 into 1/2
38.702 * [taylor]: Taking taylor expansion of K in U
38.702 * [backup-simplify]: Simplify K into K
38.702 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
38.702 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
38.702 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
38.702 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
38.702 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
38.703 * [backup-simplify]: Simplify (- 0) into 0
38.703 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
38.703 * [backup-simplify]: Simplify (* J J) into (pow J 2)
38.703 * [backup-simplify]: Simplify (* 1 1) into 1
38.703 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
38.704 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
38.704 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
38.704 * [taylor]: Taking taylor expansion of 1 in U
38.704 * [backup-simplify]: Simplify 1 into 1
38.704 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
38.704 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
38.704 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
38.705 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
38.705 * [backup-simplify]: Simplify (+ 0) into 0
38.705 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
38.706 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
38.706 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
38.707 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
38.707 * [backup-simplify]: Simplify (- 0) into 0
38.707 * [backup-simplify]: Simplify (+ 0 0) into 0
38.708 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
38.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
38.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
38.709 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
38.710 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
38.710 * [backup-simplify]: Simplify (+ 0 0) into 0
38.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
38.710 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
38.710 * [taylor]: Taking taylor expansion of 1/2 in J
38.710 * [backup-simplify]: Simplify 1/2 into 1/2
38.710 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
38.710 * [taylor]: Taking taylor expansion of J in J
38.710 * [backup-simplify]: Simplify 0 into 0
38.710 * [backup-simplify]: Simplify 1 into 1
38.710 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
38.711 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
38.711 * [taylor]: Taking taylor expansion of 1/2 in J
38.711 * [backup-simplify]: Simplify 1/2 into 1/2
38.711 * [taylor]: Taking taylor expansion of K in J
38.711 * [backup-simplify]: Simplify K into K
38.711 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
38.711 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
38.711 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
38.711 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
38.711 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
38.711 * [backup-simplify]: Simplify (- 0) into 0
38.711 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
38.711 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
38.712 * [taylor]: Taking taylor expansion of 0 in J
38.712 * [backup-simplify]: Simplify 0 into 0
38.712 * [taylor]: Taking taylor expansion of 0 in K
38.712 * [backup-simplify]: Simplify 0 into 0
38.712 * [backup-simplify]: Simplify 0 into 0
38.712 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
38.712 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
38.712 * [taylor]: Taking taylor expansion of 1/2 in K
38.712 * [backup-simplify]: Simplify 1/2 into 1/2
38.712 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
38.712 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
38.712 * [taylor]: Taking taylor expansion of 1/2 in K
38.712 * [backup-simplify]: Simplify 1/2 into 1/2
38.712 * [taylor]: Taking taylor expansion of K in K
38.712 * [backup-simplify]: Simplify 0 into 0
38.712 * [backup-simplify]: Simplify 1 into 1
38.712 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
38.712 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
38.713 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
38.713 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
38.713 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
38.714 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
38.715 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
38.715 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
38.715 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
38.716 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
38.716 * [backup-simplify]: Simplify (- 0) into 0
38.717 * [backup-simplify]: Simplify (+ 0 0) into 0
38.717 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
38.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
38.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
38.720 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
38.721 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
38.721 * [backup-simplify]: Simplify (+ 0 1) into 1
38.722 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
38.722 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
38.722 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
38.722 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
38.722 * [taylor]: Taking taylor expansion of 1/2 in J
38.722 * [backup-simplify]: Simplify 1/2 into 1/2
38.722 * [taylor]: Taking taylor expansion of K in J
38.722 * [backup-simplify]: Simplify K into K
38.722 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
38.722 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
38.722 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
38.722 * [taylor]: Taking taylor expansion of J in J
38.722 * [backup-simplify]: Simplify 0 into 0
38.722 * [backup-simplify]: Simplify 1 into 1
38.722 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
38.722 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
38.723 * [backup-simplify]: Simplify (- 0) into 0
38.723 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
38.723 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
38.723 * [backup-simplify]: Simplify (+ 0) into 0
38.724 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
38.724 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
38.725 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
38.725 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
38.725 * [backup-simplify]: Simplify (- 0) into 0
38.726 * [backup-simplify]: Simplify (+ 0 0) into 0
38.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
38.727 * [taylor]: Taking taylor expansion of 0 in K
38.727 * [backup-simplify]: Simplify 0 into 0
38.727 * [backup-simplify]: Simplify 0 into 0
38.727 * [taylor]: Taking taylor expansion of 0 in K
38.727 * [backup-simplify]: Simplify 0 into 0
38.727 * [backup-simplify]: Simplify 0 into 0
38.731 * [backup-simplify]: Simplify (+ 0) into 0
38.732 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
38.732 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
38.733 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
38.733 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
38.733 * [backup-simplify]: Simplify (- 0) into 0
38.734 * [backup-simplify]: Simplify (+ 0 0) into 0
38.734 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
38.734 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
38.734 * [taylor]: Taking taylor expansion of 0 in K
38.734 * [backup-simplify]: Simplify 0 into 0
38.734 * [backup-simplify]: Simplify 0 into 0
38.735 * [backup-simplify]: Simplify 0 into 0
38.735 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
38.735 * [backup-simplify]: Simplify 0 into 0
38.736 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
38.737 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
38.738 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
38.738 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
38.739 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
38.740 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
38.740 * [backup-simplify]: Simplify (- 0) into 0
38.741 * [backup-simplify]: Simplify (+ 0 0) into 0
38.741 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
38.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
38.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
38.744 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
38.745 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
38.746 * [backup-simplify]: Simplify (+ 0 0) into 0
38.746 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
38.746 * [taylor]: Taking taylor expansion of 0 in J
38.746 * [backup-simplify]: Simplify 0 into 0
38.746 * [taylor]: Taking taylor expansion of 0 in K
38.746 * [backup-simplify]: Simplify 0 into 0
38.746 * [backup-simplify]: Simplify 0 into 0
38.746 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
38.747 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
38.747 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0
38.747 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
38.747 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
38.747 * [taylor]: Taking taylor expansion of 1 in K
38.747 * [backup-simplify]: Simplify 1 into 1
38.747 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
38.747 * [taylor]: Taking taylor expansion of 1/4 in K
38.747 * [backup-simplify]: Simplify 1/4 into 1/4
38.747 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
38.747 * [taylor]: Taking taylor expansion of (pow J 2) in K
38.747 * [taylor]: Taking taylor expansion of J in K
38.747 * [backup-simplify]: Simplify J into J
38.747 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
38.747 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
38.747 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
38.747 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
38.747 * [taylor]: Taking taylor expansion of -1/2 in K
38.747 * [backup-simplify]: Simplify -1/2 into -1/2
38.747 * [taylor]: Taking taylor expansion of K in K
38.747 * [backup-simplify]: Simplify 0 into 0
38.747 * [backup-simplify]: Simplify 1 into 1
38.748 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
38.748 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
38.748 * [taylor]: Taking taylor expansion of (pow U 2) in K
38.748 * [taylor]: Taking taylor expansion of U in K
38.748 * [backup-simplify]: Simplify U into U
38.748 * [backup-simplify]: Simplify (* J J) into (pow J 2)
38.748 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
38.748 * [backup-simplify]: Simplify (* U U) into (pow U 2)
38.748 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
38.749 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
38.749 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
38.749 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
38.750 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
38.750 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
38.750 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
38.750 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
38.750 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
38.751 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
38.752 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
38.752 * [backup-simplify]: Simplify (+ 0 0) into 0
38.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
38.752 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
38.752 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
38.752 * [taylor]: Taking taylor expansion of 1 in J
38.752 * [backup-simplify]: Simplify 1 into 1
38.752 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
38.752 * [taylor]: Taking taylor expansion of 1/4 in J
38.753 * [backup-simplify]: Simplify 1/4 into 1/4
38.753 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
38.753 * [taylor]: Taking taylor expansion of (pow J 2) in J
38.753 * [taylor]: Taking taylor expansion of J in J
38.753 * [backup-simplify]: Simplify 0 into 0
38.753 * [backup-simplify]: Simplify 1 into 1
38.753 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
38.753 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
38.753 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
38.753 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
38.753 * [taylor]: Taking taylor expansion of -1/2 in J
38.753 * [backup-simplify]: Simplify -1/2 into -1/2
38.753 * [taylor]: Taking taylor expansion of K in J
38.753 * [backup-simplify]: Simplify K into K
38.753 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
38.753 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
38.753 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
38.753 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
38.753 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
38.754 * [backup-simplify]: Simplify (- 0) into 0
38.754 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
38.754 * [taylor]: Taking taylor expansion of (pow U 2) in J
38.754 * [taylor]: Taking taylor expansion of U in J
38.754 * [backup-simplify]: Simplify U into U
38.754 * [backup-simplify]: Simplify (* 1 1) into 1
38.754 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
38.754 * [backup-simplify]: Simplify (* U U) into (pow U 2)
38.754 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
38.755 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
38.755 * [backup-simplify]: Simplify (+ 1 0) into 1
38.755 * [backup-simplify]: Simplify (sqrt 1) into 1
38.756 * [backup-simplify]: Simplify (+ 0 0) into 0
38.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
38.756 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
38.756 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
38.756 * [taylor]: Taking taylor expansion of 1 in U
38.757 * [backup-simplify]: Simplify 1 into 1
38.757 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
38.757 * [taylor]: Taking taylor expansion of 1/4 in U
38.757 * [backup-simplify]: Simplify 1/4 into 1/4
38.757 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
38.757 * [taylor]: Taking taylor expansion of (pow J 2) in U
38.757 * [taylor]: Taking taylor expansion of J in U
38.757 * [backup-simplify]: Simplify J into J
38.757 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
38.757 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
38.757 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
38.757 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
38.757 * [taylor]: Taking taylor expansion of -1/2 in U
38.757 * [backup-simplify]: Simplify -1/2 into -1/2
38.757 * [taylor]: Taking taylor expansion of K in U
38.757 * [backup-simplify]: Simplify K into K
38.757 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
38.757 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
38.757 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
38.757 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
38.757 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
38.758 * [backup-simplify]: Simplify (- 0) into 0
38.758 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
38.758 * [taylor]: Taking taylor expansion of (pow U 2) in U
38.758 * [taylor]: Taking taylor expansion of U in U
38.758 * [backup-simplify]: Simplify 0 into 0
38.758 * [backup-simplify]: Simplify 1 into 1
38.758 * [backup-simplify]: Simplify (* J J) into (pow J 2)
38.758 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
38.758 * [backup-simplify]: Simplify (* 1 1) into 1
38.759 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
38.759 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
38.759 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
38.759 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
38.759 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
38.759 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
38.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
38.760 * [backup-simplify]: Simplify (+ 0) into 0
38.761 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
38.761 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
38.762 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
38.762 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
38.762 * [backup-simplify]: Simplify (- 0) into 0
38.763 * [backup-simplify]: Simplify (+ 0 0) into 0
38.763 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
38.763 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
38.764 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
38.764 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
38.765 * [backup-simplify]: Simplify (+ 0 0) into 0
38.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
38.765 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
38.765 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
38.765 * [taylor]: Taking taylor expansion of 1 in U
38.765 * [backup-simplify]: Simplify 1 into 1
38.765 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
38.765 * [taylor]: Taking taylor expansion of 1/4 in U
38.765 * [backup-simplify]: Simplify 1/4 into 1/4
38.765 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
38.765 * [taylor]: Taking taylor expansion of (pow J 2) in U
38.765 * [taylor]: Taking taylor expansion of J in U
38.765 * [backup-simplify]: Simplify J into J
38.765 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
38.766 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
38.766 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
38.766 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
38.766 * [taylor]: Taking taylor expansion of -1/2 in U
38.766 * [backup-simplify]: Simplify -1/2 into -1/2
38.766 * [taylor]: Taking taylor expansion of K in U
38.766 * [backup-simplify]: Simplify K into K
38.766 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
38.766 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
38.766 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
38.766 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
38.766 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
38.767 * [backup-simplify]: Simplify (- 0) into 0
38.767 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
38.767 * [taylor]: Taking taylor expansion of (pow U 2) in U
38.767 * [taylor]: Taking taylor expansion of U in U
38.767 * [backup-simplify]: Simplify 0 into 0
38.767 * [backup-simplify]: Simplify 1 into 1
38.767 * [backup-simplify]: Simplify (* J J) into (pow J 2)
38.767 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
38.767 * [backup-simplify]: Simplify (* 1 1) into 1
38.767 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
38.768 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
38.768 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
38.768 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
38.768 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
38.768 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
38.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
38.769 * [backup-simplify]: Simplify (+ 0) into 0
38.770 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
38.770 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
38.771 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
38.771 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
38.771 * [backup-simplify]: Simplify (- 0) into 0
38.772 * [backup-simplify]: Simplify (+ 0 0) into 0
38.772 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
38.772 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
38.773 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
38.773 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
38.774 * [backup-simplify]: Simplify (+ 0 0) into 0
38.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
38.774 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
38.774 * [taylor]: Taking taylor expansion of 1/2 in J
38.774 * [backup-simplify]: Simplify 1/2 into 1/2
38.774 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
38.774 * [taylor]: Taking taylor expansion of J in J
38.774 * [backup-simplify]: Simplify 0 into 0
38.774 * [backup-simplify]: Simplify 1 into 1
38.774 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
38.774 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
38.774 * [taylor]: Taking taylor expansion of -1/2 in J
38.774 * [backup-simplify]: Simplify -1/2 into -1/2
38.775 * [taylor]: Taking taylor expansion of K in J
38.775 * [backup-simplify]: Simplify K into K
38.775 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
38.775 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
38.775 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
38.775 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
38.775 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
38.775 * [backup-simplify]: Simplify (- 0) into 0
38.775 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
38.775 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
38.776 * [taylor]: Taking taylor expansion of 0 in J
38.776 * [backup-simplify]: Simplify 0 into 0
38.776 * [taylor]: Taking taylor expansion of 0 in K
38.776 * [backup-simplify]: Simplify 0 into 0
38.776 * [backup-simplify]: Simplify 0 into 0
38.776 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
38.776 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
38.776 * [taylor]: Taking taylor expansion of 1/2 in K
38.776 * [backup-simplify]: Simplify 1/2 into 1/2
38.776 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
38.776 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
38.776 * [taylor]: Taking taylor expansion of -1/2 in K
38.776 * [backup-simplify]: Simplify -1/2 into -1/2
38.776 * [taylor]: Taking taylor expansion of K in K
38.776 * [backup-simplify]: Simplify 0 into 0
38.776 * [backup-simplify]: Simplify 1 into 1
38.776 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
38.776 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
38.777 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
38.777 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
38.777 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
38.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
38.779 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
38.779 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
38.780 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
38.780 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
38.781 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
38.781 * [backup-simplify]: Simplify (- 0) into 0
38.782 * [backup-simplify]: Simplify (+ 0 0) into 0
38.782 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
38.783 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
38.784 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
38.785 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
38.785 * [backup-simplify]: Simplify (+ 1 0) into 1
38.786 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
38.786 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
38.786 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
38.786 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
38.786 * [taylor]: Taking taylor expansion of -1/2 in J
38.786 * [backup-simplify]: Simplify -1/2 into -1/2
38.786 * [taylor]: Taking taylor expansion of K in J
38.786 * [backup-simplify]: Simplify K into K
38.786 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
38.786 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
38.786 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
38.786 * [taylor]: Taking taylor expansion of J in J
38.786 * [backup-simplify]: Simplify 0 into 0
38.786 * [backup-simplify]: Simplify 1 into 1
38.786 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
38.787 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
38.787 * [backup-simplify]: Simplify (- 0) into 0
38.787 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
38.787 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
38.787 * [backup-simplify]: Simplify (+ 0) into 0
38.788 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
38.788 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
38.789 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
38.789 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
38.790 * [backup-simplify]: Simplify (- 0) into 0
38.790 * [backup-simplify]: Simplify (+ 0 0) into 0
38.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
38.791 * [taylor]: Taking taylor expansion of 0 in K
38.791 * [backup-simplify]: Simplify 0 into 0
38.791 * [backup-simplify]: Simplify 0 into 0
38.791 * [taylor]: Taking taylor expansion of 0 in K
38.791 * [backup-simplify]: Simplify 0 into 0
38.791 * [backup-simplify]: Simplify 0 into 0
38.791 * [backup-simplify]: Simplify (+ 0) into 0
38.792 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
38.792 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
38.793 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
38.793 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
38.793 * [backup-simplify]: Simplify (- 0) into 0
38.794 * [backup-simplify]: Simplify (+ 0 0) into 0
38.794 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
38.794 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
38.795 * [taylor]: Taking taylor expansion of 0 in K
38.795 * [backup-simplify]: Simplify 0 into 0
38.795 * [backup-simplify]: Simplify 0 into 0
38.795 * [backup-simplify]: Simplify 0 into 0
38.795 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
38.795 * [backup-simplify]: Simplify 0 into 0
38.796 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
38.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
38.798 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
38.799 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
38.799 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
38.800 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
38.801 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
38.802 * [backup-simplify]: Simplify (- 0) into 0
38.802 * [backup-simplify]: Simplify (+ 0 0) into 0
38.803 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
38.804 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
38.805 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
38.806 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
38.806 * [backup-simplify]: Simplify (+ 0 0) into 0
38.807 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
38.807 * [taylor]: Taking taylor expansion of 0 in J
38.807 * [backup-simplify]: Simplify 0 into 0
38.807 * [taylor]: Taking taylor expansion of 0 in K
38.807 * [backup-simplify]: Simplify 0 into 0
38.807 * [backup-simplify]: Simplify 0 into 0
38.807 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
38.807 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1)
38.808 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
38.808 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0
38.808 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
38.808 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
38.808 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
38.808 * [taylor]: Taking taylor expansion of 1/4 in K
38.808 * [backup-simplify]: Simplify 1/4 into 1/4
38.808 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
38.808 * [taylor]: Taking taylor expansion of (pow U 2) in K
38.808 * [taylor]: Taking taylor expansion of U in K
38.808 * [backup-simplify]: Simplify U into U
38.808 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
38.808 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
38.808 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
38.808 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
38.808 * [taylor]: Taking taylor expansion of 1/2 in K
38.808 * [backup-simplify]: Simplify 1/2 into 1/2
38.808 * [taylor]: Taking taylor expansion of K in K
38.808 * [backup-simplify]: Simplify 0 into 0
38.808 * [backup-simplify]: Simplify 1 into 1
38.809 * [backup-simplify]: Simplify (* 1/2 0) into 0
38.809 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
38.809 * [taylor]: Taking taylor expansion of (pow J 2) in K
38.809 * [taylor]: Taking taylor expansion of J in K
38.809 * [backup-simplify]: Simplify J into J
38.809 * [backup-simplify]: Simplify (* U U) into (pow U 2)
38.810 * [backup-simplify]: Simplify (* 1 1) into 1
38.810 * [backup-simplify]: Simplify (* J J) into (pow J 2)
38.810 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
38.810 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
38.810 * [taylor]: Taking taylor expansion of 1 in K
38.810 * [backup-simplify]: Simplify 1 into 1
38.810 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
38.811 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
38.811 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
38.811 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
38.811 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
38.812 * [backup-simplify]: Simplify (+ 0) into 0
38.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
38.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
38.813 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
38.814 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
38.814 * [backup-simplify]: Simplify (+ 0 0) into 0
38.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
38.814 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
38.814 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
38.814 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
38.815 * [taylor]: Taking taylor expansion of 1/4 in J
38.815 * [backup-simplify]: Simplify 1/4 into 1/4
38.815 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
38.815 * [taylor]: Taking taylor expansion of (pow U 2) in J
38.815 * [taylor]: Taking taylor expansion of U in J
38.815 * [backup-simplify]: Simplify U into U
38.815 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
38.815 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
38.815 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
38.815 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
38.815 * [taylor]: Taking taylor expansion of 1/2 in J
38.815 * [backup-simplify]: Simplify 1/2 into 1/2
38.815 * [taylor]: Taking taylor expansion of K in J
38.815 * [backup-simplify]: Simplify K into K
38.815 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
38.815 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
38.815 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
38.815 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
38.815 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
38.816 * [backup-simplify]: Simplify (- 0) into 0
38.816 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
38.816 * [taylor]: Taking taylor expansion of (pow J 2) in J
38.816 * [taylor]: Taking taylor expansion of J in J
38.816 * [backup-simplify]: Simplify 0 into 0
38.816 * [backup-simplify]: Simplify 1 into 1
38.816 * [backup-simplify]: Simplify (* U U) into (pow U 2)
38.816 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
38.816 * [backup-simplify]: Simplify (* 1 1) into 1
38.817 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
38.817 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
38.817 * [taylor]: Taking taylor expansion of 1 in J
38.817 * [backup-simplify]: Simplify 1 into 1
38.817 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
38.817 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
38.817 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
38.818 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
38.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
38.819 * [backup-simplify]: Simplify (+ 0) into 0
38.819 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
38.820 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
38.820 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
38.821 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
38.821 * [backup-simplify]: Simplify (- 0) into 0
38.822 * [backup-simplify]: Simplify (+ 0 0) into 0
38.822 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
38.822 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
38.823 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
38.823 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
38.824 * [backup-simplify]: Simplify (+ 0 0) into 0
38.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
38.824 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
38.824 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
38.824 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
38.824 * [taylor]: Taking taylor expansion of 1/4 in U
38.824 * [backup-simplify]: Simplify 1/4 into 1/4
38.824 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
38.824 * [taylor]: Taking taylor expansion of (pow U 2) in U
38.824 * [taylor]: Taking taylor expansion of U in U
38.824 * [backup-simplify]: Simplify 0 into 0
38.824 * [backup-simplify]: Simplify 1 into 1
38.824 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
38.824 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
38.824 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
38.824 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
38.824 * [taylor]: Taking taylor expansion of 1/2 in U
38.824 * [backup-simplify]: Simplify 1/2 into 1/2
38.825 * [taylor]: Taking taylor expansion of K in U
38.825 * [backup-simplify]: Simplify K into K
38.825 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
38.825 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
38.825 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
38.825 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
38.825 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
38.825 * [backup-simplify]: Simplify (- 0) into 0
38.825 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
38.825 * [taylor]: Taking taylor expansion of (pow J 2) in U
38.825 * [taylor]: Taking taylor expansion of J in U
38.826 * [backup-simplify]: Simplify J into J
38.826 * [backup-simplify]: Simplify (* 1 1) into 1
38.826 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
38.826 * [backup-simplify]: Simplify (* J J) into (pow J 2)
38.826 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
38.826 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
38.826 * [taylor]: Taking taylor expansion of 1 in U
38.827 * [backup-simplify]: Simplify 1 into 1
38.827 * [backup-simplify]: Simplify (+ 0 1) into 1
38.827 * [backup-simplify]: Simplify (sqrt 1) into 1
38.828 * [backup-simplify]: Simplify (+ 0 0) into 0
38.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
38.828 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
38.828 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
38.829 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
38.829 * [taylor]: Taking taylor expansion of 1/4 in U
38.829 * [backup-simplify]: Simplify 1/4 into 1/4
38.829 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
38.829 * [taylor]: Taking taylor expansion of (pow U 2) in U
38.829 * [taylor]: Taking taylor expansion of U in U
38.829 * [backup-simplify]: Simplify 0 into 0
38.829 * [backup-simplify]: Simplify 1 into 1
38.829 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
38.829 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
38.829 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
38.829 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
38.829 * [taylor]: Taking taylor expansion of 1/2 in U
38.829 * [backup-simplify]: Simplify 1/2 into 1/2
38.829 * [taylor]: Taking taylor expansion of K in U
38.829 * [backup-simplify]: Simplify K into K
38.829 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
38.829 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
38.829 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
38.829 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
38.829 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
38.830 * [backup-simplify]: Simplify (- 0) into 0
38.830 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
38.830 * [taylor]: Taking taylor expansion of (pow J 2) in U
38.830 * [taylor]: Taking taylor expansion of J in U
38.830 * [backup-simplify]: Simplify J into J
38.830 * [backup-simplify]: Simplify (* 1 1) into 1
38.830 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
38.830 * [backup-simplify]: Simplify (* J J) into (pow J 2)
38.831 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
38.831 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
38.831 * [taylor]: Taking taylor expansion of 1 in U
38.831 * [backup-simplify]: Simplify 1 into 1
38.831 * [backup-simplify]: Simplify (+ 0 1) into 1
38.832 * [backup-simplify]: Simplify (sqrt 1) into 1
38.832 * [backup-simplify]: Simplify (+ 0 0) into 0
38.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
38.833 * [taylor]: Taking taylor expansion of 1 in J
38.833 * [backup-simplify]: Simplify 1 into 1
38.833 * [taylor]: Taking taylor expansion of 0 in J
38.833 * [backup-simplify]: Simplify 0 into 0
38.833 * [taylor]: Taking taylor expansion of 1 in K
38.833 * [backup-simplify]: Simplify 1 into 1
38.833 * [backup-simplify]: Simplify 1 into 1
38.833 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
38.834 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
38.835 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
38.835 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
38.835 * [taylor]: Taking taylor expansion of 1/8 in J
38.835 * [backup-simplify]: Simplify 1/8 into 1/8
38.835 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
38.835 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
38.835 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
38.835 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
38.835 * [taylor]: Taking taylor expansion of 1/2 in J
38.835 * [backup-simplify]: Simplify 1/2 into 1/2
38.835 * [taylor]: Taking taylor expansion of K in J
38.835 * [backup-simplify]: Simplify K into K
38.836 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
38.836 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
38.836 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
38.836 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
38.836 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
38.836 * [backup-simplify]: Simplify (- 0) into 0
38.836 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
38.837 * [taylor]: Taking taylor expansion of (pow J 2) in J
38.837 * [taylor]: Taking taylor expansion of J in J
38.837 * [backup-simplify]: Simplify 0 into 0
38.837 * [backup-simplify]: Simplify 1 into 1
38.837 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
38.837 * [backup-simplify]: Simplify (* 1 1) into 1
38.837 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
38.837 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
38.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
38.838 * [backup-simplify]: Simplify (+ 0) into 0
38.839 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
38.839 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
38.840 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
38.841 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
38.841 * [backup-simplify]: Simplify (- 0) into 0
38.841 * [backup-simplify]: Simplify (+ 0 0) into 0
38.842 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
38.842 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
38.843 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
38.843 * [taylor]: Taking taylor expansion of 0 in K
38.843 * [backup-simplify]: Simplify 0 into 0
38.843 * [backup-simplify]: Simplify 0 into 0
38.843 * [taylor]: Taking taylor expansion of 0 in K
38.843 * [backup-simplify]: Simplify 0 into 0
38.843 * [backup-simplify]: Simplify 0 into 0
38.843 * [taylor]: Taking taylor expansion of 0 in K
38.843 * [backup-simplify]: Simplify 0 into 0
38.843 * [backup-simplify]: Simplify 0 into 0
38.843 * [backup-simplify]: Simplify 0 into 0
38.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
38.844 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
38.844 * [backup-simplify]: Simplify (+ 0) into 0
38.845 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
38.845 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
38.846 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
38.846 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
38.847 * [backup-simplify]: Simplify (- 0) into 0
38.847 * [backup-simplify]: Simplify (+ 0 0) into 0
38.847 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
38.847 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
38.847 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
38.848 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
38.848 * [backup-simplify]: Simplify (+ 0 0) into 0
38.849 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
38.849 * [taylor]: Taking taylor expansion of 0 in J
38.849 * [backup-simplify]: Simplify 0 into 0
38.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
38.850 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
38.850 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
38.851 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
38.851 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
38.852 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
38.852 * [backup-simplify]: Simplify (- 0) into 0
38.852 * [backup-simplify]: Simplify (+ 0 0) into 0
38.853 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
38.853 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
38.853 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
38.853 * [taylor]: Taking taylor expansion of 0 in K
38.853 * [backup-simplify]: Simplify 0 into 0
38.853 * [backup-simplify]: Simplify 0 into 0
38.853 * [taylor]: Taking taylor expansion of 0 in K
38.853 * [backup-simplify]: Simplify 0 into 0
38.853 * [backup-simplify]: Simplify 0 into 0
38.853 * [backup-simplify]: Simplify 1 into 1
38.854 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
38.854 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0
38.854 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
38.854 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
38.854 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
38.854 * [taylor]: Taking taylor expansion of 1/4 in K
38.854 * [backup-simplify]: Simplify 1/4 into 1/4
38.854 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
38.854 * [taylor]: Taking taylor expansion of (pow J 2) in K
38.854 * [taylor]: Taking taylor expansion of J in K
38.854 * [backup-simplify]: Simplify J into J
38.854 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
38.854 * [taylor]: Taking taylor expansion of (pow U 2) in K
38.854 * [taylor]: Taking taylor expansion of U in K
38.854 * [backup-simplify]: Simplify U into U
38.854 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
38.854 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
38.854 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
38.854 * [taylor]: Taking taylor expansion of 1/2 in K
38.854 * [backup-simplify]: Simplify 1/2 into 1/2
38.854 * [taylor]: Taking taylor expansion of K in K
38.854 * [backup-simplify]: Simplify 0 into 0
38.854 * [backup-simplify]: Simplify 1 into 1
38.854 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
38.855 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
38.855 * [backup-simplify]: Simplify (* J J) into (pow J 2)
38.855 * [backup-simplify]: Simplify (* U U) into (pow U 2)
38.855 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
38.855 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
38.855 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
38.855 * [taylor]: Taking taylor expansion of 1 in K
38.855 * [backup-simplify]: Simplify 1 into 1
38.855 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
38.855 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
38.856 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
38.856 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
38.856 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
38.856 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
38.856 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
38.856 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
38.857 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
38.857 * [backup-simplify]: Simplify (+ 0 0) into 0
38.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
38.857 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
38.857 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
38.857 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
38.857 * [taylor]: Taking taylor expansion of 1/4 in J
38.857 * [backup-simplify]: Simplify 1/4 into 1/4
38.857 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
38.857 * [taylor]: Taking taylor expansion of (pow J 2) in J
38.857 * [taylor]: Taking taylor expansion of J in J
38.857 * [backup-simplify]: Simplify 0 into 0
38.857 * [backup-simplify]: Simplify 1 into 1
38.857 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
38.857 * [taylor]: Taking taylor expansion of (pow U 2) in J
38.857 * [taylor]: Taking taylor expansion of U in J
38.857 * [backup-simplify]: Simplify U into U
38.857 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
38.857 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
38.857 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
38.857 * [taylor]: Taking taylor expansion of 1/2 in J
38.857 * [backup-simplify]: Simplify 1/2 into 1/2
38.857 * [taylor]: Taking taylor expansion of K in J
38.857 * [backup-simplify]: Simplify K into K
38.858 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
38.858 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
38.858 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
38.858 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
38.858 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
38.858 * [backup-simplify]: Simplify (- 0) into 0
38.858 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
38.858 * [backup-simplify]: Simplify (* 1 1) into 1
38.858 * [backup-simplify]: Simplify (* U U) into (pow U 2)
38.858 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
38.859 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
38.859 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
38.859 * [taylor]: Taking taylor expansion of 1 in J
38.859 * [backup-simplify]: Simplify 1 into 1
38.859 * [backup-simplify]: Simplify (+ 0 1) into 1
38.859 * [backup-simplify]: Simplify (sqrt 1) into 1
38.859 * [backup-simplify]: Simplify (+ 0 0) into 0
38.860 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
38.860 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
38.860 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
38.860 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
38.860 * [taylor]: Taking taylor expansion of 1/4 in U
38.860 * [backup-simplify]: Simplify 1/4 into 1/4
38.860 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
38.860 * [taylor]: Taking taylor expansion of (pow J 2) in U
38.860 * [taylor]: Taking taylor expansion of J in U
38.860 * [backup-simplify]: Simplify J into J
38.860 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
38.860 * [taylor]: Taking taylor expansion of (pow U 2) in U
38.860 * [taylor]: Taking taylor expansion of U in U
38.860 * [backup-simplify]: Simplify 0 into 0
38.860 * [backup-simplify]: Simplify 1 into 1
38.860 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
38.860 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
38.860 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
38.860 * [taylor]: Taking taylor expansion of 1/2 in U
38.860 * [backup-simplify]: Simplify 1/2 into 1/2
38.860 * [taylor]: Taking taylor expansion of K in U
38.860 * [backup-simplify]: Simplify K into K
38.860 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
38.860 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
38.860 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
38.860 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
38.860 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
38.861 * [backup-simplify]: Simplify (- 0) into 0
38.861 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
38.861 * [backup-simplify]: Simplify (* J J) into (pow J 2)
38.861 * [backup-simplify]: Simplify (* 1 1) into 1
38.861 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
38.861 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
38.861 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
38.861 * [taylor]: Taking taylor expansion of 1 in U
38.861 * [backup-simplify]: Simplify 1 into 1
38.861 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
38.862 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
38.862 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
38.862 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
38.862 * [backup-simplify]: Simplify (+ 0) into 0
38.862 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
38.863 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
38.863 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
38.863 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
38.864 * [backup-simplify]: Simplify (- 0) into 0
38.864 * [backup-simplify]: Simplify (+ 0 0) into 0
38.864 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
38.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
38.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
38.868 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
38.868 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
38.869 * [backup-simplify]: Simplify (+ 0 0) into 0
38.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
38.869 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
38.869 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
38.869 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
38.869 * [taylor]: Taking taylor expansion of 1/4 in U
38.869 * [backup-simplify]: Simplify 1/4 into 1/4
38.869 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
38.869 * [taylor]: Taking taylor expansion of (pow J 2) in U
38.869 * [taylor]: Taking taylor expansion of J in U
38.869 * [backup-simplify]: Simplify J into J
38.869 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
38.869 * [taylor]: Taking taylor expansion of (pow U 2) in U
38.869 * [taylor]: Taking taylor expansion of U in U
38.869 * [backup-simplify]: Simplify 0 into 0
38.869 * [backup-simplify]: Simplify 1 into 1
38.869 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
38.869 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
38.869 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
38.869 * [taylor]: Taking taylor expansion of 1/2 in U
38.869 * [backup-simplify]: Simplify 1/2 into 1/2
38.869 * [taylor]: Taking taylor expansion of K in U
38.869 * [backup-simplify]: Simplify K into K
38.869 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
38.869 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
38.869 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
38.869 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
38.869 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
38.870 * [backup-simplify]: Simplify (- 0) into 0
38.870 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
38.870 * [backup-simplify]: Simplify (* J J) into (pow J 2)
38.870 * [backup-simplify]: Simplify (* 1 1) into 1
38.870 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
38.870 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
38.870 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
38.870 * [taylor]: Taking taylor expansion of 1 in U
38.870 * [backup-simplify]: Simplify 1 into 1
38.870 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
38.870 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
38.871 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
38.871 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
38.871 * [backup-simplify]: Simplify (+ 0) into 0
38.871 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
38.871 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
38.872 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
38.872 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
38.872 * [backup-simplify]: Simplify (- 0) into 0
38.873 * [backup-simplify]: Simplify (+ 0 0) into 0
38.873 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
38.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
38.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
38.874 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
38.874 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
38.874 * [backup-simplify]: Simplify (+ 0 0) into 0
38.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
38.875 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
38.875 * [taylor]: Taking taylor expansion of 1/2 in J
38.875 * [backup-simplify]: Simplify 1/2 into 1/2
38.875 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
38.875 * [taylor]: Taking taylor expansion of J in J
38.875 * [backup-simplify]: Simplify 0 into 0
38.875 * [backup-simplify]: Simplify 1 into 1
38.875 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
38.875 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
38.875 * [taylor]: Taking taylor expansion of 1/2 in J
38.875 * [backup-simplify]: Simplify 1/2 into 1/2
38.875 * [taylor]: Taking taylor expansion of K in J
38.875 * [backup-simplify]: Simplify K into K
38.875 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
38.875 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
38.875 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
38.875 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
38.875 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
38.875 * [backup-simplify]: Simplify (- 0) into 0
38.875 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
38.875 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
38.876 * [taylor]: Taking taylor expansion of 0 in J
38.876 * [backup-simplify]: Simplify 0 into 0
38.876 * [taylor]: Taking taylor expansion of 0 in K
38.876 * [backup-simplify]: Simplify 0 into 0
38.876 * [backup-simplify]: Simplify 0 into 0
38.876 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
38.876 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
38.876 * [taylor]: Taking taylor expansion of 1/2 in K
38.876 * [backup-simplify]: Simplify 1/2 into 1/2
38.876 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
38.876 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
38.876 * [taylor]: Taking taylor expansion of 1/2 in K
38.876 * [backup-simplify]: Simplify 1/2 into 1/2
38.876 * [taylor]: Taking taylor expansion of K in K
38.876 * [backup-simplify]: Simplify 0 into 0
38.876 * [backup-simplify]: Simplify 1 into 1
38.876 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
38.876 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
38.876 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
38.876 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
38.877 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
38.877 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
38.878 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
38.878 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
38.878 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
38.879 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
38.879 * [backup-simplify]: Simplify (- 0) into 0
38.879 * [backup-simplify]: Simplify (+ 0 0) into 0
38.879 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
38.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
38.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
38.881 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
38.881 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
38.882 * [backup-simplify]: Simplify (+ 0 1) into 1
38.882 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
38.882 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
38.882 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
38.882 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
38.882 * [taylor]: Taking taylor expansion of 1/2 in J
38.882 * [backup-simplify]: Simplify 1/2 into 1/2
38.882 * [taylor]: Taking taylor expansion of K in J
38.882 * [backup-simplify]: Simplify K into K
38.882 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
38.882 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
38.882 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
38.882 * [taylor]: Taking taylor expansion of J in J
38.882 * [backup-simplify]: Simplify 0 into 0
38.883 * [backup-simplify]: Simplify 1 into 1
38.883 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
38.883 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
38.883 * [backup-simplify]: Simplify (- 0) into 0
38.883 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
38.883 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
38.884 * [backup-simplify]: Simplify (+ 0) into 0
38.884 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
38.884 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
38.885 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
38.885 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
38.886 * [backup-simplify]: Simplify (- 0) into 0
38.887 * [backup-simplify]: Simplify (+ 0 0) into 0
38.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
38.887 * [taylor]: Taking taylor expansion of 0 in K
38.887 * [backup-simplify]: Simplify 0 into 0
38.887 * [backup-simplify]: Simplify 0 into 0
38.888 * [taylor]: Taking taylor expansion of 0 in K
38.888 * [backup-simplify]: Simplify 0 into 0
38.888 * [backup-simplify]: Simplify 0 into 0
38.888 * [backup-simplify]: Simplify (+ 0) into 0
38.888 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
38.889 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
38.889 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
38.890 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
38.890 * [backup-simplify]: Simplify (- 0) into 0
38.891 * [backup-simplify]: Simplify (+ 0 0) into 0
38.891 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
38.891 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
38.891 * [taylor]: Taking taylor expansion of 0 in K
38.891 * [backup-simplify]: Simplify 0 into 0
38.891 * [backup-simplify]: Simplify 0 into 0
38.891 * [backup-simplify]: Simplify 0 into 0
38.892 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
38.892 * [backup-simplify]: Simplify 0 into 0
38.892 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
38.893 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
38.894 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
38.894 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
38.896 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
38.897 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
38.897 * [backup-simplify]: Simplify (- 0) into 0
38.898 * [backup-simplify]: Simplify (+ 0 0) into 0
38.898 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
38.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
38.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
38.902 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
38.904 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
38.904 * [backup-simplify]: Simplify (+ 0 0) into 0
38.905 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
38.905 * [taylor]: Taking taylor expansion of 0 in J
38.905 * [backup-simplify]: Simplify 0 into 0
38.905 * [taylor]: Taking taylor expansion of 0 in K
38.905 * [backup-simplify]: Simplify 0 into 0
38.905 * [backup-simplify]: Simplify 0 into 0
38.905 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
38.906 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
38.906 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0
38.906 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
38.906 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
38.906 * [taylor]: Taking taylor expansion of 1 in K
38.906 * [backup-simplify]: Simplify 1 into 1
38.906 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
38.906 * [taylor]: Taking taylor expansion of 1/4 in K
38.906 * [backup-simplify]: Simplify 1/4 into 1/4
38.906 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
38.906 * [taylor]: Taking taylor expansion of (pow J 2) in K
38.906 * [taylor]: Taking taylor expansion of J in K
38.906 * [backup-simplify]: Simplify J into J
38.906 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
38.906 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
38.906 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
38.906 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
38.906 * [taylor]: Taking taylor expansion of -1/2 in K
38.906 * [backup-simplify]: Simplify -1/2 into -1/2
38.906 * [taylor]: Taking taylor expansion of K in K
38.906 * [backup-simplify]: Simplify 0 into 0
38.906 * [backup-simplify]: Simplify 1 into 1
38.907 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
38.907 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
38.907 * [taylor]: Taking taylor expansion of (pow U 2) in K
38.907 * [taylor]: Taking taylor expansion of U in K
38.907 * [backup-simplify]: Simplify U into U
38.907 * [backup-simplify]: Simplify (* J J) into (pow J 2)
38.907 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
38.907 * [backup-simplify]: Simplify (* U U) into (pow U 2)
38.907 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
38.908 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
38.908 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
38.908 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
38.909 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
38.909 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
38.909 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
38.909 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
38.909 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
38.910 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
38.911 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
38.911 * [backup-simplify]: Simplify (+ 0 0) into 0
38.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
38.911 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
38.911 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
38.912 * [taylor]: Taking taylor expansion of 1 in J
38.912 * [backup-simplify]: Simplify 1 into 1
38.912 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
38.912 * [taylor]: Taking taylor expansion of 1/4 in J
38.912 * [backup-simplify]: Simplify 1/4 into 1/4
38.912 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
38.912 * [taylor]: Taking taylor expansion of (pow J 2) in J
38.912 * [taylor]: Taking taylor expansion of J in J
38.912 * [backup-simplify]: Simplify 0 into 0
38.912 * [backup-simplify]: Simplify 1 into 1
38.912 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
38.912 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
38.912 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
38.912 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
38.912 * [taylor]: Taking taylor expansion of -1/2 in J
38.912 * [backup-simplify]: Simplify -1/2 into -1/2
38.912 * [taylor]: Taking taylor expansion of K in J
38.912 * [backup-simplify]: Simplify K into K
38.912 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
38.912 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
38.912 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
38.912 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
38.912 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
38.913 * [backup-simplify]: Simplify (- 0) into 0
38.913 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
38.913 * [taylor]: Taking taylor expansion of (pow U 2) in J
38.913 * [taylor]: Taking taylor expansion of U in J
38.913 * [backup-simplify]: Simplify U into U
38.913 * [backup-simplify]: Simplify (* 1 1) into 1
38.914 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
38.914 * [backup-simplify]: Simplify (* U U) into (pow U 2)
38.914 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
38.914 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
38.915 * [backup-simplify]: Simplify (+ 1 0) into 1
38.915 * [backup-simplify]: Simplify (sqrt 1) into 1
38.915 * [backup-simplify]: Simplify (+ 0 0) into 0
38.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
38.916 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
38.916 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
38.916 * [taylor]: Taking taylor expansion of 1 in U
38.916 * [backup-simplify]: Simplify 1 into 1
38.916 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
38.916 * [taylor]: Taking taylor expansion of 1/4 in U
38.916 * [backup-simplify]: Simplify 1/4 into 1/4
38.916 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
38.916 * [taylor]: Taking taylor expansion of (pow J 2) in U
38.916 * [taylor]: Taking taylor expansion of J in U
38.916 * [backup-simplify]: Simplify J into J
38.916 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
38.916 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
38.916 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
38.916 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
38.917 * [taylor]: Taking taylor expansion of -1/2 in U
38.917 * [backup-simplify]: Simplify -1/2 into -1/2
38.917 * [taylor]: Taking taylor expansion of K in U
38.917 * [backup-simplify]: Simplify K into K
38.917 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
38.917 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
38.917 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
38.917 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
38.917 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
38.917 * [backup-simplify]: Simplify (- 0) into 0
38.917 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
38.917 * [taylor]: Taking taylor expansion of (pow U 2) in U
38.917 * [taylor]: Taking taylor expansion of U in U
38.918 * [backup-simplify]: Simplify 0 into 0
38.918 * [backup-simplify]: Simplify 1 into 1
38.918 * [backup-simplify]: Simplify (* J J) into (pow J 2)
38.918 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
38.918 * [backup-simplify]: Simplify (* 1 1) into 1
38.918 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
38.918 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
38.919 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
38.919 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
38.919 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
38.919 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
38.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
38.920 * [backup-simplify]: Simplify (+ 0) into 0
38.921 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
38.921 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
38.922 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
38.922 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
38.922 * [backup-simplify]: Simplify (- 0) into 0
38.923 * [backup-simplify]: Simplify (+ 0 0) into 0
38.923 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
38.924 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
38.924 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
38.925 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
38.925 * [backup-simplify]: Simplify (+ 0 0) into 0
38.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
38.925 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
38.925 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
38.925 * [taylor]: Taking taylor expansion of 1 in U
38.925 * [backup-simplify]: Simplify 1 into 1
38.925 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
38.925 * [taylor]: Taking taylor expansion of 1/4 in U
38.925 * [backup-simplify]: Simplify 1/4 into 1/4
38.925 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
38.925 * [taylor]: Taking taylor expansion of (pow J 2) in U
38.925 * [taylor]: Taking taylor expansion of J in U
38.925 * [backup-simplify]: Simplify J into J
38.925 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
38.926 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
38.926 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
38.926 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
38.926 * [taylor]: Taking taylor expansion of -1/2 in U
38.926 * [backup-simplify]: Simplify -1/2 into -1/2
38.926 * [taylor]: Taking taylor expansion of K in U
38.926 * [backup-simplify]: Simplify K into K
38.926 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
38.926 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
38.926 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
38.926 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
38.926 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
38.926 * [backup-simplify]: Simplify (- 0) into 0
38.926 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
38.927 * [taylor]: Taking taylor expansion of (pow U 2) in U
38.927 * [taylor]: Taking taylor expansion of U in U
38.927 * [backup-simplify]: Simplify 0 into 0
38.927 * [backup-simplify]: Simplify 1 into 1
38.927 * [backup-simplify]: Simplify (* J J) into (pow J 2)
38.927 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
38.927 * [backup-simplify]: Simplify (* 1 1) into 1
38.927 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
38.927 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
38.928 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
38.928 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
38.928 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
38.928 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
38.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
38.929 * [backup-simplify]: Simplify (+ 0) into 0
38.930 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
38.930 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
38.931 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
38.931 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
38.931 * [backup-simplify]: Simplify (- 0) into 0
38.932 * [backup-simplify]: Simplify (+ 0 0) into 0
38.932 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
38.932 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
38.933 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
38.934 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
38.934 * [backup-simplify]: Simplify (+ 0 0) into 0
38.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
38.934 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
38.934 * [taylor]: Taking taylor expansion of 1/2 in J
38.934 * [backup-simplify]: Simplify 1/2 into 1/2
38.934 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
38.934 * [taylor]: Taking taylor expansion of J in J
38.934 * [backup-simplify]: Simplify 0 into 0
38.934 * [backup-simplify]: Simplify 1 into 1
38.934 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
38.934 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
38.935 * [taylor]: Taking taylor expansion of -1/2 in J
38.935 * [backup-simplify]: Simplify -1/2 into -1/2
38.935 * [taylor]: Taking taylor expansion of K in J
38.935 * [backup-simplify]: Simplify K into K
38.935 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
38.935 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
38.935 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
38.935 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
38.935 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
38.935 * [backup-simplify]: Simplify (- 0) into 0
38.935 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
38.936 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
38.936 * [taylor]: Taking taylor expansion of 0 in J
38.936 * [backup-simplify]: Simplify 0 into 0
38.936 * [taylor]: Taking taylor expansion of 0 in K
38.936 * [backup-simplify]: Simplify 0 into 0
38.936 * [backup-simplify]: Simplify 0 into 0
38.936 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
38.936 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
38.936 * [taylor]: Taking taylor expansion of 1/2 in K
38.936 * [backup-simplify]: Simplify 1/2 into 1/2
38.936 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
38.936 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
38.936 * [taylor]: Taking taylor expansion of -1/2 in K
38.936 * [backup-simplify]: Simplify -1/2 into -1/2
38.936 * [taylor]: Taking taylor expansion of K in K
38.936 * [backup-simplify]: Simplify 0 into 0
38.936 * [backup-simplify]: Simplify 1 into 1
38.937 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
38.937 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
38.937 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
38.937 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
38.937 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
38.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
38.939 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
38.940 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
38.940 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
38.941 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
38.942 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
38.942 * [backup-simplify]: Simplify (- 0) into 0
38.942 * [backup-simplify]: Simplify (+ 0 0) into 0
38.943 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
38.944 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
38.944 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
38.945 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
38.946 * [backup-simplify]: Simplify (+ 1 0) into 1
38.947 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
38.947 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
38.947 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
38.947 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
38.947 * [taylor]: Taking taylor expansion of -1/2 in J
38.947 * [backup-simplify]: Simplify -1/2 into -1/2
38.947 * [taylor]: Taking taylor expansion of K in J
38.947 * [backup-simplify]: Simplify K into K
38.947 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
38.947 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
38.947 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
38.947 * [taylor]: Taking taylor expansion of J in J
38.947 * [backup-simplify]: Simplify 0 into 0
38.947 * [backup-simplify]: Simplify 1 into 1
38.948 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
38.948 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
38.948 * [backup-simplify]: Simplify (- 0) into 0
38.948 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
38.948 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
38.949 * [backup-simplify]: Simplify (+ 0) into 0
38.949 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
38.949 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
38.950 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
38.950 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
38.951 * [backup-simplify]: Simplify (- 0) into 0
38.951 * [backup-simplify]: Simplify (+ 0 0) into 0
38.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
38.952 * [taylor]: Taking taylor expansion of 0 in K
38.952 * [backup-simplify]: Simplify 0 into 0
38.952 * [backup-simplify]: Simplify 0 into 0
38.952 * [taylor]: Taking taylor expansion of 0 in K
38.952 * [backup-simplify]: Simplify 0 into 0
38.952 * [backup-simplify]: Simplify 0 into 0
38.953 * [backup-simplify]: Simplify (+ 0) into 0
38.953 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
38.953 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
38.954 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
38.954 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
38.955 * [backup-simplify]: Simplify (- 0) into 0
38.955 * [backup-simplify]: Simplify (+ 0 0) into 0
38.955 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
38.956 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
38.956 * [taylor]: Taking taylor expansion of 0 in K
38.956 * [backup-simplify]: Simplify 0 into 0
38.956 * [backup-simplify]: Simplify 0 into 0
38.956 * [backup-simplify]: Simplify 0 into 0
38.956 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
38.956 * [backup-simplify]: Simplify 0 into 0
38.957 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
38.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
38.959 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
38.960 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
38.960 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
38.962 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
38.963 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
38.963 * [backup-simplify]: Simplify (- 0) into 0
38.963 * [backup-simplify]: Simplify (+ 0 0) into 0
38.964 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
38.965 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
38.966 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
38.967 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
38.967 * [backup-simplify]: Simplify (+ 0 0) into 0
38.968 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
38.968 * [taylor]: Taking taylor expansion of 0 in J
38.968 * [backup-simplify]: Simplify 0 into 0
38.968 * [taylor]: Taking taylor expansion of 0 in K
38.968 * [backup-simplify]: Simplify 0 into 0
38.968 * [backup-simplify]: Simplify 0 into 0
38.968 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
38.968 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
38.969 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))))
38.969 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (U J K) around 0
38.969 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K
38.969 * [taylor]: Taking taylor expansion of -2 in K
38.969 * [backup-simplify]: Simplify -2 into -2
38.969 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K
38.969 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
38.969 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
38.969 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
38.969 * [taylor]: Taking taylor expansion of 1/2 in K
38.969 * [backup-simplify]: Simplify 1/2 into 1/2
38.969 * [taylor]: Taking taylor expansion of K in K
38.969 * [backup-simplify]: Simplify 0 into 0
38.969 * [backup-simplify]: Simplify 1 into 1
38.969 * [backup-simplify]: Simplify (* 1/2 0) into 0
38.970 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
38.970 * [taylor]: Taking taylor expansion of J in K
38.970 * [backup-simplify]: Simplify J into J
38.970 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
38.970 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
38.970 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
38.970 * [taylor]: Taking taylor expansion of 1/4 in K
38.970 * [backup-simplify]: Simplify 1/4 into 1/4
38.970 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
38.970 * [taylor]: Taking taylor expansion of (pow U 2) in K
38.970 * [taylor]: Taking taylor expansion of U in K
38.971 * [backup-simplify]: Simplify U into U
38.971 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
38.971 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
38.971 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
38.971 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
38.971 * [taylor]: Taking taylor expansion of 1/2 in K
38.971 * [backup-simplify]: Simplify 1/2 into 1/2
38.971 * [taylor]: Taking taylor expansion of K in K
38.971 * [backup-simplify]: Simplify 0 into 0
38.971 * [backup-simplify]: Simplify 1 into 1
38.971 * [backup-simplify]: Simplify (* 1/2 0) into 0
38.972 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
38.972 * [taylor]: Taking taylor expansion of (pow J 2) in K
38.972 * [taylor]: Taking taylor expansion of J in K
38.972 * [backup-simplify]: Simplify J into J
38.972 * [backup-simplify]: Simplify (* U U) into (pow U 2)
38.972 * [backup-simplify]: Simplify (* 1 1) into 1
38.972 * [backup-simplify]: Simplify (* J J) into (pow J 2)
38.973 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
38.973 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
38.973 * [taylor]: Taking taylor expansion of 1 in K
38.973 * [backup-simplify]: Simplify 1 into 1
38.973 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
38.973 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
38.973 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
38.973 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
38.974 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
38.974 * [backup-simplify]: Simplify (+ 0) into 0
38.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
38.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
38.975 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
38.976 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
38.976 * [backup-simplify]: Simplify (+ 0 0) into 0
38.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
38.977 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J
38.977 * [taylor]: Taking taylor expansion of -2 in J
38.977 * [backup-simplify]: Simplify -2 into -2
38.977 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J
38.977 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
38.977 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
38.977 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
38.977 * [taylor]: Taking taylor expansion of 1/2 in J
38.977 * [backup-simplify]: Simplify 1/2 into 1/2
38.977 * [taylor]: Taking taylor expansion of K in J
38.977 * [backup-simplify]: Simplify K into K
38.977 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
38.977 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
38.977 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
38.977 * [taylor]: Taking taylor expansion of J in J
38.977 * [backup-simplify]: Simplify 0 into 0
38.977 * [backup-simplify]: Simplify 1 into 1
38.977 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
38.977 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
38.977 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
38.977 * [taylor]: Taking taylor expansion of 1/4 in J
38.977 * [backup-simplify]: Simplify 1/4 into 1/4
38.977 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
38.977 * [taylor]: Taking taylor expansion of (pow U 2) in J
38.977 * [taylor]: Taking taylor expansion of U in J
38.977 * [backup-simplify]: Simplify U into U
38.977 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
38.977 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
38.977 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
38.977 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
38.977 * [taylor]: Taking taylor expansion of 1/2 in J
38.977 * [backup-simplify]: Simplify 1/2 into 1/2
38.977 * [taylor]: Taking taylor expansion of K in J
38.977 * [backup-simplify]: Simplify K into K
38.978 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
38.978 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
38.978 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
38.978 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
38.978 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
38.978 * [backup-simplify]: Simplify (- 0) into 0
38.978 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
38.978 * [taylor]: Taking taylor expansion of (pow J 2) in J
38.978 * [taylor]: Taking taylor expansion of J in J
38.978 * [backup-simplify]: Simplify 0 into 0
38.979 * [backup-simplify]: Simplify 1 into 1
38.979 * [backup-simplify]: Simplify (* U U) into (pow U 2)
38.979 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
38.979 * [backup-simplify]: Simplify (* 1 1) into 1
38.979 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
38.979 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
38.979 * [taylor]: Taking taylor expansion of 1 in J
38.979 * [backup-simplify]: Simplify 1 into 1
38.980 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
38.980 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
38.980 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
38.980 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
38.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
38.981 * [backup-simplify]: Simplify (+ 0) into 0
38.982 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
38.982 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
38.983 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
38.983 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
38.984 * [backup-simplify]: Simplify (- 0) into 0
38.984 * [backup-simplify]: Simplify (+ 0 0) into 0
38.984 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
38.985 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
38.985 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
38.986 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
38.986 * [backup-simplify]: Simplify (+ 0 0) into 0
38.987 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
38.987 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U
38.987 * [taylor]: Taking taylor expansion of -2 in U
38.987 * [backup-simplify]: Simplify -2 into -2
38.987 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U
38.987 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
38.987 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
38.987 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
38.987 * [taylor]: Taking taylor expansion of 1/2 in U
38.987 * [backup-simplify]: Simplify 1/2 into 1/2
38.987 * [taylor]: Taking taylor expansion of K in U
38.987 * [backup-simplify]: Simplify K into K
38.987 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
38.987 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
38.987 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
38.987 * [taylor]: Taking taylor expansion of J in U
38.987 * [backup-simplify]: Simplify J into J
38.987 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
38.987 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
38.987 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
38.987 * [taylor]: Taking taylor expansion of 1/4 in U
38.987 * [backup-simplify]: Simplify 1/4 into 1/4
38.987 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
38.987 * [taylor]: Taking taylor expansion of (pow U 2) in U
38.987 * [taylor]: Taking taylor expansion of U in U
38.987 * [backup-simplify]: Simplify 0 into 0
38.987 * [backup-simplify]: Simplify 1 into 1
38.987 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
38.988 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
38.988 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
38.988 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
38.988 * [taylor]: Taking taylor expansion of 1/2 in U
38.988 * [backup-simplify]: Simplify 1/2 into 1/2
38.988 * [taylor]: Taking taylor expansion of K in U
38.988 * [backup-simplify]: Simplify K into K
38.988 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
38.988 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
38.988 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
38.988 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
38.988 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
38.988 * [backup-simplify]: Simplify (- 0) into 0
38.989 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
38.989 * [taylor]: Taking taylor expansion of (pow J 2) in U
38.989 * [taylor]: Taking taylor expansion of J in U
38.989 * [backup-simplify]: Simplify J into J
38.989 * [backup-simplify]: Simplify (* 1 1) into 1
38.989 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
38.989 * [backup-simplify]: Simplify (* J J) into (pow J 2)
38.989 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
38.990 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
38.990 * [taylor]: Taking taylor expansion of 1 in U
38.990 * [backup-simplify]: Simplify 1 into 1
38.990 * [backup-simplify]: Simplify (+ 0 1) into 1
38.990 * [backup-simplify]: Simplify (sqrt 1) into 1
38.991 * [backup-simplify]: Simplify (+ 0 0) into 0
38.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
38.991 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U
38.992 * [taylor]: Taking taylor expansion of -2 in U
38.992 * [backup-simplify]: Simplify -2 into -2
38.992 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U
38.992 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
38.992 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
38.992 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
38.992 * [taylor]: Taking taylor expansion of 1/2 in U
38.992 * [backup-simplify]: Simplify 1/2 into 1/2
38.992 * [taylor]: Taking taylor expansion of K in U
38.992 * [backup-simplify]: Simplify K into K
38.992 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
38.992 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
38.992 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
38.992 * [taylor]: Taking taylor expansion of J in U
38.992 * [backup-simplify]: Simplify J into J
38.992 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
38.992 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
38.992 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
38.992 * [taylor]: Taking taylor expansion of 1/4 in U
38.992 * [backup-simplify]: Simplify 1/4 into 1/4
38.992 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
38.992 * [taylor]: Taking taylor expansion of (pow U 2) in U
38.992 * [taylor]: Taking taylor expansion of U in U
38.992 * [backup-simplify]: Simplify 0 into 0
38.992 * [backup-simplify]: Simplify 1 into 1
38.992 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
38.992 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
38.992 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
38.992 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
38.992 * [taylor]: Taking taylor expansion of 1/2 in U
38.992 * [backup-simplify]: Simplify 1/2 into 1/2
38.992 * [taylor]: Taking taylor expansion of K in U
38.992 * [backup-simplify]: Simplify K into K
38.993 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
38.993 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
38.993 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
38.993 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
38.993 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
38.993 * [backup-simplify]: Simplify (- 0) into 0
38.993 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
38.993 * [taylor]: Taking taylor expansion of (pow J 2) in U
38.993 * [taylor]: Taking taylor expansion of J in U
38.993 * [backup-simplify]: Simplify J into J
38.994 * [backup-simplify]: Simplify (* 1 1) into 1
38.994 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
38.994 * [backup-simplify]: Simplify (* J J) into (pow J 2)
38.994 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
38.994 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
38.994 * [taylor]: Taking taylor expansion of 1 in U
38.994 * [backup-simplify]: Simplify 1 into 1
38.995 * [backup-simplify]: Simplify (+ 0 1) into 1
38.995 * [backup-simplify]: Simplify (sqrt 1) into 1
38.996 * [backup-simplify]: Simplify (+ 0 0) into 0
38.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
38.997 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
38.997 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
38.997 * [backup-simplify]: Simplify (- 0) into 0
38.997 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
38.997 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J)
38.997 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J)
38.998 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J))
38.998 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J
38.998 * [taylor]: Taking taylor expansion of -2 in J
38.998 * [backup-simplify]: Simplify -2 into -2
38.998 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
38.998 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
38.998 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
38.998 * [taylor]: Taking taylor expansion of 1/2 in J
38.998 * [backup-simplify]: Simplify 1/2 into 1/2
38.998 * [taylor]: Taking taylor expansion of K in J
38.998 * [backup-simplify]: Simplify K into K
38.998 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
38.998 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
38.998 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
38.998 * [taylor]: Taking taylor expansion of J in J
38.998 * [backup-simplify]: Simplify 0 into 0
38.998 * [backup-simplify]: Simplify 1 into 1
38.998 * [backup-simplify]: Simplify (+ 0) into 0
38.999 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
38.999 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
39.000 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
39.001 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
39.001 * [backup-simplify]: Simplify (- 0) into 0
39.001 * [backup-simplify]: Simplify (+ 0 0) into 0
39.001 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0
39.002 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0
39.003 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0
39.003 * [taylor]: Taking taylor expansion of 0 in J
39.003 * [backup-simplify]: Simplify 0 into 0
39.003 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
39.003 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
39.003 * [backup-simplify]: Simplify (- 0) into 0
39.003 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
39.003 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
39.004 * [backup-simplify]: Simplify (* -2 0) into 0
39.004 * [taylor]: Taking taylor expansion of 0 in K
39.004 * [backup-simplify]: Simplify 0 into 0
39.004 * [backup-simplify]: Simplify 0 into 0
39.004 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
39.004 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
39.006 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
39.011 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
39.012 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
39.013 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
39.014 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
39.014 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
39.015 * [backup-simplify]: Simplify (- 0) into 0
39.015 * [backup-simplify]: Simplify (+ 0 0) into 0
39.015 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0
39.016 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))
39.017 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))))
39.017 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J
39.017 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J
39.017 * [taylor]: Taking taylor expansion of 1/4 in J
39.017 * [backup-simplify]: Simplify 1/4 into 1/4
39.017 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J
39.017 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
39.017 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
39.017 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
39.017 * [taylor]: Taking taylor expansion of 1/2 in J
39.017 * [backup-simplify]: Simplify 1/2 into 1/2
39.017 * [taylor]: Taking taylor expansion of K in J
39.017 * [backup-simplify]: Simplify K into K
39.017 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
39.017 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
39.017 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
39.017 * [taylor]: Taking taylor expansion of J in J
39.017 * [backup-simplify]: Simplify 0 into 0
39.018 * [backup-simplify]: Simplify 1 into 1
39.018 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
39.018 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
39.018 * [backup-simplify]: Simplify (- 0) into 0
39.018 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
39.018 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
39.019 * [backup-simplify]: Simplify (+ 0) into 0
39.019 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
39.020 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
39.020 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
39.021 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
39.021 * [backup-simplify]: Simplify (- 0) into 0
39.022 * [backup-simplify]: Simplify (+ 0 0) into 0
39.022 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
39.022 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K)))
39.022 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K)))
39.022 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K)))))
39.022 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K
39.022 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K
39.022 * [taylor]: Taking taylor expansion of 1/4 in K
39.023 * [backup-simplify]: Simplify 1/4 into 1/4
39.023 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K
39.023 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
39.023 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
39.023 * [taylor]: Taking taylor expansion of 1/2 in K
39.023 * [backup-simplify]: Simplify 1/2 into 1/2
39.023 * [taylor]: Taking taylor expansion of K in K
39.023 * [backup-simplify]: Simplify 0 into 0
39.023 * [backup-simplify]: Simplify 1 into 1
39.023 * [backup-simplify]: Simplify (* 1/2 0) into 0
39.024 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
39.024 * [backup-simplify]: Simplify (/ 1 1) into 1
39.025 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
39.025 * [backup-simplify]: Simplify (- 1/4) into -1/4
39.026 * [backup-simplify]: Simplify -1/4 into -1/4
39.026 * [taylor]: Taking taylor expansion of 0 in K
39.026 * [backup-simplify]: Simplify 0 into 0
39.026 * [backup-simplify]: Simplify 0 into 0
39.026 * [backup-simplify]: Simplify (+ 0) into 0
39.027 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
39.027 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
39.028 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
39.028 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
39.029 * [backup-simplify]: Simplify (- 0) into 0
39.029 * [backup-simplify]: Simplify (+ 0 0) into 0
39.029 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
39.030 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K))))
39.030 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K
39.030 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K
39.030 * [taylor]: Taking taylor expansion of 2 in K
39.030 * [backup-simplify]: Simplify 2 into 2
39.030 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
39.030 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
39.030 * [taylor]: Taking taylor expansion of 1/2 in K
39.030 * [backup-simplify]: Simplify 1/2 into 1/2
39.030 * [taylor]: Taking taylor expansion of K in K
39.030 * [backup-simplify]: Simplify 0 into 0
39.030 * [backup-simplify]: Simplify 1 into 1
39.030 * [backup-simplify]: Simplify (* 1/2 0) into 0
39.031 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
39.031 * [backup-simplify]: Simplify (* 2 1) into 2
39.031 * [backup-simplify]: Simplify (- 2) into -2
39.031 * [backup-simplify]: Simplify -2 into -2
39.031 * [backup-simplify]: Simplify 0 into 0
39.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
39.032 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
39.032 * [backup-simplify]: Simplify (+ 0) into 0
39.033 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
39.033 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
39.033 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
39.034 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
39.034 * [backup-simplify]: Simplify (- 0) into 0
39.034 * [backup-simplify]: Simplify (+ 0 0) into 0
39.034 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
39.034 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
39.035 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
39.035 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
39.035 * [backup-simplify]: Simplify (+ 0 0) into 0
39.036 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
39.036 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
39.037 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
39.038 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
39.039 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
39.039 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
39.039 * [backup-simplify]: Simplify (- 0) into 0
39.040 * [backup-simplify]: Simplify (+ 0 0) into 0
39.040 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
39.041 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0
39.041 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0
39.041 * [taylor]: Taking taylor expansion of 0 in J
39.041 * [backup-simplify]: Simplify 0 into 0
39.042 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
39.042 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
39.043 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
39.043 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
39.044 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
39.044 * [backup-simplify]: Simplify (- 0) into 0
39.044 * [backup-simplify]: Simplify (+ 0 0) into 0
39.045 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
39.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0
39.045 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0
39.046 * [backup-simplify]: Simplify (- 0) into 0
39.046 * [taylor]: Taking taylor expansion of 0 in K
39.046 * [backup-simplify]: Simplify 0 into 0
39.046 * [backup-simplify]: Simplify 0 into 0
39.046 * [taylor]: Taking taylor expansion of 0 in K
39.046 * [backup-simplify]: Simplify 0 into 0
39.046 * [backup-simplify]: Simplify 0 into 0
39.046 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
39.047 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
39.048 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
39.048 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
39.048 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
39.049 * [backup-simplify]: Simplify (- 0) into 0
39.049 * [backup-simplify]: Simplify (+ 0 0) into 0
39.049 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
39.050 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0
39.050 * [taylor]: Taking taylor expansion of 0 in K
39.050 * [backup-simplify]: Simplify 0 into 0
39.050 * [backup-simplify]: Simplify 0 into 0
39.050 * [backup-simplify]: Simplify (+ 0) into 0
39.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
39.051 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
39.052 * [backup-simplify]: Simplify (- 0) into 0
39.052 * [backup-simplify]: Simplify 0 into 0
39.052 * [backup-simplify]: Simplify 0 into 0
39.052 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J))))
39.052 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (* (/ 1 J) 2) (cos (/ (/ 1 K) 2))))) 1)) (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))
39.052 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (U J K) around 0
39.052 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K
39.052 * [taylor]: Taking taylor expansion of -2 in K
39.052 * [backup-simplify]: Simplify -2 into -2
39.052 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K
39.052 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
39.052 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
39.052 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
39.052 * [taylor]: Taking taylor expansion of 1/4 in K
39.052 * [backup-simplify]: Simplify 1/4 into 1/4
39.052 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
39.052 * [taylor]: Taking taylor expansion of (pow J 2) in K
39.052 * [taylor]: Taking taylor expansion of J in K
39.052 * [backup-simplify]: Simplify J into J
39.052 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
39.052 * [taylor]: Taking taylor expansion of (pow U 2) in K
39.052 * [taylor]: Taking taylor expansion of U in K
39.053 * [backup-simplify]: Simplify U into U
39.053 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
39.053 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
39.053 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
39.053 * [taylor]: Taking taylor expansion of 1/2 in K
39.053 * [backup-simplify]: Simplify 1/2 into 1/2
39.053 * [taylor]: Taking taylor expansion of K in K
39.053 * [backup-simplify]: Simplify 0 into 0
39.053 * [backup-simplify]: Simplify 1 into 1
39.053 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
39.053 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
39.053 * [backup-simplify]: Simplify (* J J) into (pow J 2)
39.053 * [backup-simplify]: Simplify (* U U) into (pow U 2)
39.053 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
39.053 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
39.053 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
39.053 * [taylor]: Taking taylor expansion of 1 in K
39.053 * [backup-simplify]: Simplify 1 into 1
39.054 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
39.054 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)
39.054 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
39.054 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
39.054 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
39.054 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
39.054 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
39.055 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
39.055 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
39.055 * [backup-simplify]: Simplify (+ 0 0) into 0
39.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
39.056 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
39.056 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
39.056 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
39.056 * [taylor]: Taking taylor expansion of 1/2 in K
39.056 * [backup-simplify]: Simplify 1/2 into 1/2
39.056 * [taylor]: Taking taylor expansion of K in K
39.056 * [backup-simplify]: Simplify 0 into 0
39.056 * [backup-simplify]: Simplify 1 into 1
39.056 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
39.056 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
39.056 * [taylor]: Taking taylor expansion of J in K
39.056 * [backup-simplify]: Simplify J into J
39.056 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
39.056 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J
39.056 * [taylor]: Taking taylor expansion of -2 in J
39.056 * [backup-simplify]: Simplify -2 into -2
39.056 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J
39.056 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
39.056 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
39.056 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
39.056 * [taylor]: Taking taylor expansion of 1/4 in J
39.056 * [backup-simplify]: Simplify 1/4 into 1/4
39.056 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
39.056 * [taylor]: Taking taylor expansion of (pow J 2) in J
39.056 * [taylor]: Taking taylor expansion of J in J
39.056 * [backup-simplify]: Simplify 0 into 0
39.056 * [backup-simplify]: Simplify 1 into 1
39.056 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
39.056 * [taylor]: Taking taylor expansion of (pow U 2) in J
39.057 * [taylor]: Taking taylor expansion of U in J
39.057 * [backup-simplify]: Simplify U into U
39.057 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
39.057 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
39.057 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
39.057 * [taylor]: Taking taylor expansion of 1/2 in J
39.057 * [backup-simplify]: Simplify 1/2 into 1/2
39.057 * [taylor]: Taking taylor expansion of K in J
39.057 * [backup-simplify]: Simplify K into K
39.057 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
39.057 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
39.057 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
39.057 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
39.057 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
39.057 * [backup-simplify]: Simplify (- 0) into 0
39.057 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
39.057 * [backup-simplify]: Simplify (* 1 1) into 1
39.057 * [backup-simplify]: Simplify (* U U) into (pow U 2)
39.058 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
39.058 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
39.058 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
39.058 * [taylor]: Taking taylor expansion of 1 in J
39.058 * [backup-simplify]: Simplify 1 into 1
39.058 * [backup-simplify]: Simplify (+ 0 1) into 1
39.058 * [backup-simplify]: Simplify (sqrt 1) into 1
39.059 * [backup-simplify]: Simplify (+ 0 0) into 0
39.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
39.059 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
39.060 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
39.060 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
39.060 * [taylor]: Taking taylor expansion of 1/2 in J
39.060 * [backup-simplify]: Simplify 1/2 into 1/2
39.060 * [taylor]: Taking taylor expansion of K in J
39.060 * [backup-simplify]: Simplify K into K
39.060 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
39.060 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
39.060 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
39.060 * [taylor]: Taking taylor expansion of J in J
39.060 * [backup-simplify]: Simplify 0 into 0
39.060 * [backup-simplify]: Simplify 1 into 1
39.060 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
39.060 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
39.060 * [backup-simplify]: Simplify (- 0) into 0
39.061 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
39.061 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
39.061 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U
39.061 * [taylor]: Taking taylor expansion of -2 in U
39.061 * [backup-simplify]: Simplify -2 into -2
39.061 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U
39.061 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
39.061 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
39.061 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
39.061 * [taylor]: Taking taylor expansion of 1/4 in U
39.061 * [backup-simplify]: Simplify 1/4 into 1/4
39.061 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
39.061 * [taylor]: Taking taylor expansion of (pow J 2) in U
39.061 * [taylor]: Taking taylor expansion of J in U
39.061 * [backup-simplify]: Simplify J into J
39.061 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
39.061 * [taylor]: Taking taylor expansion of (pow U 2) in U
39.061 * [taylor]: Taking taylor expansion of U in U
39.061 * [backup-simplify]: Simplify 0 into 0
39.061 * [backup-simplify]: Simplify 1 into 1
39.061 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
39.061 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
39.061 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
39.061 * [taylor]: Taking taylor expansion of 1/2 in U
39.061 * [backup-simplify]: Simplify 1/2 into 1/2
39.061 * [taylor]: Taking taylor expansion of K in U
39.061 * [backup-simplify]: Simplify K into K
39.061 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
39.061 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
39.061 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
39.062 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
39.062 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
39.062 * [backup-simplify]: Simplify (- 0) into 0
39.062 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
39.062 * [backup-simplify]: Simplify (* J J) into (pow J 2)
39.063 * [backup-simplify]: Simplify (* 1 1) into 1
39.063 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
39.063 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
39.063 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
39.063 * [taylor]: Taking taylor expansion of 1 in U
39.063 * [backup-simplify]: Simplify 1 into 1
39.063 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
39.064 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
39.064 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
39.064 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
39.064 * [backup-simplify]: Simplify (+ 0) into 0
39.065 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
39.065 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
39.066 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
39.066 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
39.066 * [backup-simplify]: Simplify (- 0) into 0
39.067 * [backup-simplify]: Simplify (+ 0 0) into 0
39.067 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
39.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
39.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
39.069 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
39.069 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
39.069 * [backup-simplify]: Simplify (+ 0 0) into 0
39.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
39.070 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
39.070 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
39.070 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
39.070 * [taylor]: Taking taylor expansion of 1/2 in U
39.070 * [backup-simplify]: Simplify 1/2 into 1/2
39.070 * [taylor]: Taking taylor expansion of K in U
39.070 * [backup-simplify]: Simplify K into K
39.070 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
39.070 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
39.070 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
39.070 * [taylor]: Taking taylor expansion of J in U
39.070 * [backup-simplify]: Simplify J into J
39.070 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
39.070 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
39.071 * [backup-simplify]: Simplify (- 0) into 0
39.071 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
39.071 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
39.071 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U
39.071 * [taylor]: Taking taylor expansion of -2 in U
39.071 * [backup-simplify]: Simplify -2 into -2
39.071 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U
39.071 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
39.071 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
39.071 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
39.071 * [taylor]: Taking taylor expansion of 1/4 in U
39.071 * [backup-simplify]: Simplify 1/4 into 1/4
39.071 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
39.071 * [taylor]: Taking taylor expansion of (pow J 2) in U
39.071 * [taylor]: Taking taylor expansion of J in U
39.071 * [backup-simplify]: Simplify J into J
39.071 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
39.071 * [taylor]: Taking taylor expansion of (pow U 2) in U
39.071 * [taylor]: Taking taylor expansion of U in U
39.071 * [backup-simplify]: Simplify 0 into 0
39.071 * [backup-simplify]: Simplify 1 into 1
39.071 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
39.071 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
39.071 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
39.072 * [taylor]: Taking taylor expansion of 1/2 in U
39.072 * [backup-simplify]: Simplify 1/2 into 1/2
39.072 * [taylor]: Taking taylor expansion of K in U
39.072 * [backup-simplify]: Simplify K into K
39.072 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
39.072 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
39.072 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
39.072 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
39.072 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
39.072 * [backup-simplify]: Simplify (- 0) into 0
39.072 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
39.073 * [backup-simplify]: Simplify (* J J) into (pow J 2)
39.073 * [backup-simplify]: Simplify (* 1 1) into 1
39.073 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
39.073 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
39.073 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
39.073 * [taylor]: Taking taylor expansion of 1 in U
39.073 * [backup-simplify]: Simplify 1 into 1
39.074 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
39.074 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
39.074 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
39.074 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
39.075 * [backup-simplify]: Simplify (+ 0) into 0
39.075 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
39.075 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
39.076 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
39.076 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
39.077 * [backup-simplify]: Simplify (- 0) into 0
39.077 * [backup-simplify]: Simplify (+ 0 0) into 0
39.077 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
39.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
39.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
39.079 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
39.079 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
39.080 * [backup-simplify]: Simplify (+ 0 0) into 0
39.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
39.080 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
39.080 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
39.080 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
39.080 * [taylor]: Taking taylor expansion of 1/2 in U
39.080 * [backup-simplify]: Simplify 1/2 into 1/2
39.080 * [taylor]: Taking taylor expansion of K in U
39.080 * [backup-simplify]: Simplify K into K
39.080 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
39.080 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
39.080 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
39.080 * [taylor]: Taking taylor expansion of J in U
39.080 * [backup-simplify]: Simplify J into J
39.081 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
39.081 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
39.081 * [backup-simplify]: Simplify (- 0) into 0
39.081 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
39.081 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
39.081 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2
39.082 * [backup-simplify]: Simplify (* -2 1/2) into -1
39.082 * [taylor]: Taking taylor expansion of -1 in J
39.082 * [backup-simplify]: Simplify -1 into -1
39.082 * [backup-simplify]: Simplify (+ 0) into 0
39.083 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
39.083 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
39.084 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
39.084 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
39.085 * [backup-simplify]: Simplify (- 0) into 0
39.085 * [backup-simplify]: Simplify (+ 0 0) into 0
39.085 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0
39.085 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0
39.086 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0
39.086 * [taylor]: Taking taylor expansion of 0 in J
39.086 * [backup-simplify]: Simplify 0 into 0
39.086 * [taylor]: Taking taylor expansion of -1 in K
39.086 * [backup-simplify]: Simplify -1 into -1
39.086 * [backup-simplify]: Simplify -1 into -1
39.087 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
39.088 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
39.088 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
39.089 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
39.090 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
39.090 * [backup-simplify]: Simplify (- 0) into 0
39.090 * [backup-simplify]: Simplify (+ 0 0) into 0
39.091 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
39.091 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
39.092 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
39.093 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
39.093 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
39.094 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
39.094 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
39.095 * [backup-simplify]: Simplify (- 0) into 0
39.095 * [backup-simplify]: Simplify (+ 0 0) into 0
39.095 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
39.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
39.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
39.098 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
39.099 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
39.099 * [backup-simplify]: Simplify (+ 0 1) into 1
39.100 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
39.101 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (/ (cos (/ 1/2 K)) J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))
39.102 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))))
39.102 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J
39.102 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J
39.102 * [taylor]: Taking taylor expansion of 2 in J
39.102 * [backup-simplify]: Simplify 2 into 2
39.102 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J
39.102 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
39.102 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
39.102 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
39.102 * [taylor]: Taking taylor expansion of 1/2 in J
39.102 * [backup-simplify]: Simplify 1/2 into 1/2
39.102 * [taylor]: Taking taylor expansion of K in J
39.102 * [backup-simplify]: Simplify K into K
39.102 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
39.102 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
39.102 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
39.102 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
39.103 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
39.103 * [backup-simplify]: Simplify (- 0) into 0
39.103 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
39.103 * [taylor]: Taking taylor expansion of (pow J 2) in J
39.103 * [taylor]: Taking taylor expansion of J in J
39.103 * [backup-simplify]: Simplify 0 into 0
39.103 * [backup-simplify]: Simplify 1 into 1
39.103 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
39.104 * [backup-simplify]: Simplify (* 1 1) into 1
39.104 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2)
39.104 * [backup-simplify]: Simplify (+ 0) into 0
39.105 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
39.105 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
39.106 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
39.106 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
39.106 * [backup-simplify]: Simplify (- 0) into 0
39.107 * [backup-simplify]: Simplify (+ 0 0) into 0
39.107 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
39.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
39.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0
39.109 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
39.109 * [backup-simplify]: Simplify (- 0) into 0
39.109 * [taylor]: Taking taylor expansion of 0 in K
39.109 * [backup-simplify]: Simplify 0 into 0
39.109 * [backup-simplify]: Simplify 0 into 0
39.110 * [taylor]: Taking taylor expansion of 0 in K
39.110 * [backup-simplify]: Simplify 0 into 0
39.110 * [backup-simplify]: Simplify 0 into 0
39.110 * [taylor]: Taking taylor expansion of 0 in K
39.110 * [backup-simplify]: Simplify 0 into 0
39.110 * [backup-simplify]: Simplify 0 into 0
39.110 * [backup-simplify]: Simplify 0 into 0
39.111 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
39.112 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
39.112 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
39.114 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
39.114 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
39.115 * [backup-simplify]: Simplify (- 0) into 0
39.115 * [backup-simplify]: Simplify (+ 0 0) into 0
39.115 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
39.116 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
39.117 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
39.118 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
39.118 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
39.120 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
39.121 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
39.121 * [backup-simplify]: Simplify (- 0) into 0
39.121 * [backup-simplify]: Simplify (+ 0 0) into 0
39.122 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
39.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
39.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
39.124 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
39.125 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
39.125 * [backup-simplify]: Simplify (+ 0 0) into 0
39.125 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
39.126 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0
39.126 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0
39.126 * [taylor]: Taking taylor expansion of 0 in J
39.126 * [backup-simplify]: Simplify 0 into 0
39.127 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
39.127 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
39.128 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
39.128 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
39.128 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
39.129 * [backup-simplify]: Simplify (- 0) into 0
39.129 * [backup-simplify]: Simplify (+ 0 0) into 0
39.129 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
39.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
39.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
39.131 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
39.132 * [backup-simplify]: Simplify (- 0) into 0
39.132 * [taylor]: Taking taylor expansion of 0 in K
39.132 * [backup-simplify]: Simplify 0 into 0
39.132 * [backup-simplify]: Simplify 0 into 0
39.132 * [taylor]: Taking taylor expansion of 0 in K
39.132 * [backup-simplify]: Simplify 0 into 0
39.132 * [backup-simplify]: Simplify 0 into 0
39.132 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U)
39.132 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (* (/ 1 (- J)) 2) (cos (/ (/ 1 (- K)) 2))))) 1)) (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J))))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))
39.132 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (U J K) around 0
39.132 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K
39.132 * [taylor]: Taking taylor expansion of 2 in K
39.132 * [backup-simplify]: Simplify 2 into 2
39.132 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K
39.132 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
39.132 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
39.132 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
39.132 * [taylor]: Taking taylor expansion of -1/2 in K
39.132 * [backup-simplify]: Simplify -1/2 into -1/2
39.132 * [taylor]: Taking taylor expansion of K in K
39.132 * [backup-simplify]: Simplify 0 into 0
39.132 * [backup-simplify]: Simplify 1 into 1
39.136 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
39.136 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
39.136 * [taylor]: Taking taylor expansion of J in K
39.136 * [backup-simplify]: Simplify J into J
39.136 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
39.136 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
39.136 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
39.136 * [taylor]: Taking taylor expansion of 1 in K
39.136 * [backup-simplify]: Simplify 1 into 1
39.136 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
39.136 * [taylor]: Taking taylor expansion of 1/4 in K
39.136 * [backup-simplify]: Simplify 1/4 into 1/4
39.136 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
39.137 * [taylor]: Taking taylor expansion of (pow J 2) in K
39.137 * [taylor]: Taking taylor expansion of J in K
39.137 * [backup-simplify]: Simplify J into J
39.137 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
39.137 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
39.137 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
39.137 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
39.137 * [taylor]: Taking taylor expansion of -1/2 in K
39.137 * [backup-simplify]: Simplify -1/2 into -1/2
39.137 * [taylor]: Taking taylor expansion of K in K
39.137 * [backup-simplify]: Simplify 0 into 0
39.137 * [backup-simplify]: Simplify 1 into 1
39.138 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
39.138 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
39.138 * [taylor]: Taking taylor expansion of (pow U 2) in K
39.138 * [taylor]: Taking taylor expansion of U in K
39.138 * [backup-simplify]: Simplify U into U
39.138 * [backup-simplify]: Simplify (* J J) into (pow J 2)
39.138 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
39.138 * [backup-simplify]: Simplify (* U U) into (pow U 2)
39.138 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
39.138 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
39.138 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
39.139 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
39.139 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
39.139 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
39.139 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
39.139 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
39.139 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
39.139 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0
39.140 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
39.140 * [backup-simplify]: Simplify (+ 0 0) into 0
39.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
39.141 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J
39.141 * [taylor]: Taking taylor expansion of 2 in J
39.141 * [backup-simplify]: Simplify 2 into 2
39.141 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J
39.141 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
39.141 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
39.141 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
39.141 * [taylor]: Taking taylor expansion of -1/2 in J
39.141 * [backup-simplify]: Simplify -1/2 into -1/2
39.141 * [taylor]: Taking taylor expansion of K in J
39.141 * [backup-simplify]: Simplify K into K
39.141 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
39.141 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
39.141 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
39.141 * [taylor]: Taking taylor expansion of J in J
39.141 * [backup-simplify]: Simplify 0 into 0
39.141 * [backup-simplify]: Simplify 1 into 1
39.141 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
39.141 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
39.141 * [backup-simplify]: Simplify (- 0) into 0
39.141 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
39.141 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
39.141 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
39.141 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
39.141 * [taylor]: Taking taylor expansion of 1 in J
39.141 * [backup-simplify]: Simplify 1 into 1
39.141 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
39.141 * [taylor]: Taking taylor expansion of 1/4 in J
39.141 * [backup-simplify]: Simplify 1/4 into 1/4
39.141 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
39.141 * [taylor]: Taking taylor expansion of (pow J 2) in J
39.141 * [taylor]: Taking taylor expansion of J in J
39.142 * [backup-simplify]: Simplify 0 into 0
39.142 * [backup-simplify]: Simplify 1 into 1
39.142 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
39.142 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
39.142 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
39.142 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
39.142 * [taylor]: Taking taylor expansion of -1/2 in J
39.142 * [backup-simplify]: Simplify -1/2 into -1/2
39.142 * [taylor]: Taking taylor expansion of K in J
39.142 * [backup-simplify]: Simplify K into K
39.142 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
39.142 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
39.142 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
39.142 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
39.142 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
39.142 * [backup-simplify]: Simplify (- 0) into 0
39.142 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
39.142 * [taylor]: Taking taylor expansion of (pow U 2) in J
39.142 * [taylor]: Taking taylor expansion of U in J
39.142 * [backup-simplify]: Simplify U into U
39.142 * [backup-simplify]: Simplify (* 1 1) into 1
39.143 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
39.143 * [backup-simplify]: Simplify (* U U) into (pow U 2)
39.143 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
39.143 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
39.143 * [backup-simplify]: Simplify (+ 1 0) into 1
39.143 * [backup-simplify]: Simplify (sqrt 1) into 1
39.144 * [backup-simplify]: Simplify (+ 0 0) into 0
39.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
39.144 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
39.144 * [taylor]: Taking taylor expansion of 2 in U
39.144 * [backup-simplify]: Simplify 2 into 2
39.144 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
39.144 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
39.144 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
39.144 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
39.144 * [taylor]: Taking taylor expansion of -1/2 in U
39.144 * [backup-simplify]: Simplify -1/2 into -1/2
39.144 * [taylor]: Taking taylor expansion of K in U
39.144 * [backup-simplify]: Simplify K into K
39.144 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
39.144 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
39.144 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
39.144 * [taylor]: Taking taylor expansion of J in U
39.144 * [backup-simplify]: Simplify J into J
39.144 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
39.144 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
39.145 * [backup-simplify]: Simplify (- 0) into 0
39.145 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
39.145 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
39.145 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
39.145 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
39.145 * [taylor]: Taking taylor expansion of 1 in U
39.145 * [backup-simplify]: Simplify 1 into 1
39.145 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
39.145 * [taylor]: Taking taylor expansion of 1/4 in U
39.145 * [backup-simplify]: Simplify 1/4 into 1/4
39.145 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
39.145 * [taylor]: Taking taylor expansion of (pow J 2) in U
39.145 * [taylor]: Taking taylor expansion of J in U
39.145 * [backup-simplify]: Simplify J into J
39.145 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
39.145 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
39.145 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
39.145 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
39.145 * [taylor]: Taking taylor expansion of -1/2 in U
39.145 * [backup-simplify]: Simplify -1/2 into -1/2
39.145 * [taylor]: Taking taylor expansion of K in U
39.145 * [backup-simplify]: Simplify K into K
39.145 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
39.145 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
39.145 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
39.145 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
39.145 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
39.146 * [backup-simplify]: Simplify (- 0) into 0
39.146 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
39.146 * [taylor]: Taking taylor expansion of (pow U 2) in U
39.146 * [taylor]: Taking taylor expansion of U in U
39.146 * [backup-simplify]: Simplify 0 into 0
39.146 * [backup-simplify]: Simplify 1 into 1
39.146 * [backup-simplify]: Simplify (* J J) into (pow J 2)
39.146 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
39.146 * [backup-simplify]: Simplify (* 1 1) into 1
39.146 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
39.146 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
39.146 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
39.147 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
39.147 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
39.147 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
39.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
39.148 * [backup-simplify]: Simplify (+ 0) into 0
39.148 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
39.148 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
39.149 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
39.149 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
39.149 * [backup-simplify]: Simplify (- 0) into 0
39.149 * [backup-simplify]: Simplify (+ 0 0) into 0
39.149 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
39.150 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
39.150 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
39.150 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
39.151 * [backup-simplify]: Simplify (+ 0 0) into 0
39.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
39.151 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
39.151 * [taylor]: Taking taylor expansion of 2 in U
39.151 * [backup-simplify]: Simplify 2 into 2
39.151 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
39.151 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
39.151 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
39.151 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
39.151 * [taylor]: Taking taylor expansion of -1/2 in U
39.151 * [backup-simplify]: Simplify -1/2 into -1/2
39.151 * [taylor]: Taking taylor expansion of K in U
39.151 * [backup-simplify]: Simplify K into K
39.151 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
39.152 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
39.152 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
39.152 * [taylor]: Taking taylor expansion of J in U
39.152 * [backup-simplify]: Simplify J into J
39.152 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
39.152 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
39.152 * [backup-simplify]: Simplify (- 0) into 0
39.152 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
39.152 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
39.152 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
39.152 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
39.152 * [taylor]: Taking taylor expansion of 1 in U
39.152 * [backup-simplify]: Simplify 1 into 1
39.153 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
39.153 * [taylor]: Taking taylor expansion of 1/4 in U
39.153 * [backup-simplify]: Simplify 1/4 into 1/4
39.153 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
39.153 * [taylor]: Taking taylor expansion of (pow J 2) in U
39.153 * [taylor]: Taking taylor expansion of J in U
39.153 * [backup-simplify]: Simplify J into J
39.153 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
39.153 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
39.153 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
39.153 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
39.153 * [taylor]: Taking taylor expansion of -1/2 in U
39.153 * [backup-simplify]: Simplify -1/2 into -1/2
39.153 * [taylor]: Taking taylor expansion of K in U
39.153 * [backup-simplify]: Simplify K into K
39.153 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
39.153 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
39.153 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
39.153 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
39.153 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
39.154 * [backup-simplify]: Simplify (- 0) into 0
39.154 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
39.154 * [taylor]: Taking taylor expansion of (pow U 2) in U
39.154 * [taylor]: Taking taylor expansion of U in U
39.154 * [backup-simplify]: Simplify 0 into 0
39.154 * [backup-simplify]: Simplify 1 into 1
39.154 * [backup-simplify]: Simplify (* J J) into (pow J 2)
39.154 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
39.154 * [backup-simplify]: Simplify (* 1 1) into 1
39.154 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
39.155 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
39.155 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
39.155 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
39.155 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
39.155 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
39.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
39.157 * [backup-simplify]: Simplify (+ 0) into 0
39.157 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
39.157 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
39.158 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
39.158 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
39.159 * [backup-simplify]: Simplify (- 0) into 0
39.159 * [backup-simplify]: Simplify (+ 0 0) into 0
39.159 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
39.160 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
39.160 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
39.161 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
39.161 * [backup-simplify]: Simplify (+ 0 0) into 0
39.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
39.162 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2
39.162 * [backup-simplify]: Simplify (* 2 1/2) into 1
39.162 * [taylor]: Taking taylor expansion of 1 in J
39.162 * [backup-simplify]: Simplify 1 into 1
39.163 * [backup-simplify]: Simplify (+ 0) into 0
39.164 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
39.164 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
39.165 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
39.165 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
39.165 * [backup-simplify]: Simplify (- 0) into 0
39.166 * [backup-simplify]: Simplify (+ 0 0) into 0
39.166 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0
39.166 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
39.167 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0
39.167 * [taylor]: Taking taylor expansion of 0 in J
39.167 * [backup-simplify]: Simplify 0 into 0
39.167 * [taylor]: Taking taylor expansion of 1 in K
39.167 * [backup-simplify]: Simplify 1 into 1
39.167 * [backup-simplify]: Simplify 1 into 1
39.168 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
39.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
39.169 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
39.170 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
39.170 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
39.171 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
39.172 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
39.172 * [backup-simplify]: Simplify (- 0) into 0
39.172 * [backup-simplify]: Simplify (+ 0 0) into 0
39.173 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
39.174 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
39.174 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
39.175 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
39.176 * [backup-simplify]: Simplify (+ 1 0) into 1
39.176 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
39.177 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
39.178 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
39.178 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
39.179 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
39.180 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
39.180 * [backup-simplify]: Simplify (- 0) into 0
39.180 * [backup-simplify]: Simplify (+ 0 0) into 0
39.181 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0
39.181 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))
39.182 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))
39.182 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J
39.182 * [taylor]: Taking taylor expansion of 2 in J
39.182 * [backup-simplify]: Simplify 2 into 2
39.182 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J
39.182 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
39.182 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
39.182 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
39.182 * [taylor]: Taking taylor expansion of -1/2 in J
39.182 * [backup-simplify]: Simplify -1/2 into -1/2
39.182 * [taylor]: Taking taylor expansion of K in J
39.182 * [backup-simplify]: Simplify K into K
39.182 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
39.183 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
39.183 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
39.183 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
39.183 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
39.183 * [backup-simplify]: Simplify (- 0) into 0
39.183 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
39.183 * [taylor]: Taking taylor expansion of (pow J 2) in J
39.183 * [taylor]: Taking taylor expansion of J in J
39.183 * [backup-simplify]: Simplify 0 into 0
39.183 * [backup-simplify]: Simplify 1 into 1
39.183 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
39.184 * [backup-simplify]: Simplify (* 1 1) into 1
39.184 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
39.184 * [backup-simplify]: Simplify (+ 0) into 0
39.185 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
39.185 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
39.186 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
39.187 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
39.187 * [backup-simplify]: Simplify (- 0) into 0
39.187 * [backup-simplify]: Simplify (+ 0 0) into 0
39.187 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
39.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
39.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0
39.190 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0
39.190 * [taylor]: Taking taylor expansion of 0 in K
39.190 * [backup-simplify]: Simplify 0 into 0
39.190 * [backup-simplify]: Simplify 0 into 0
39.190 * [taylor]: Taking taylor expansion of 0 in K
39.190 * [backup-simplify]: Simplify 0 into 0
39.190 * [backup-simplify]: Simplify 0 into 0
39.190 * [taylor]: Taking taylor expansion of 0 in K
39.190 * [backup-simplify]: Simplify 0 into 0
39.190 * [backup-simplify]: Simplify 0 into 0
39.190 * [backup-simplify]: Simplify 0 into 0
39.191 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
39.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
39.193 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
39.194 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
39.194 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
39.196 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
39.196 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
39.197 * [backup-simplify]: Simplify (- 0) into 0
39.197 * [backup-simplify]: Simplify (+ 0 0) into 0
39.198 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
39.199 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
39.200 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
39.201 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
39.201 * [backup-simplify]: Simplify (+ 0 0) into 0
39.202 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
39.203 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
39.203 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
39.204 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
39.205 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
39.206 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
39.206 * [backup-simplify]: Simplify (- 0) into 0
39.207 * [backup-simplify]: Simplify (+ 0 0) into 0
39.207 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0
39.207 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0
39.208 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0
39.208 * [taylor]: Taking taylor expansion of 0 in J
39.208 * [backup-simplify]: Simplify 0 into 0
39.208 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
39.209 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
39.209 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
39.210 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
39.210 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
39.210 * [backup-simplify]: Simplify (- 0) into 0
39.210 * [backup-simplify]: Simplify (+ 0 0) into 0
39.211 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
39.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
39.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
39.213 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0
39.213 * [taylor]: Taking taylor expansion of 0 in K
39.213 * [backup-simplify]: Simplify 0 into 0
39.213 * [backup-simplify]: Simplify 0 into 0
39.213 * [taylor]: Taking taylor expansion of 0 in K
39.213 * [backup-simplify]: Simplify 0 into 0
39.213 * [backup-simplify]: Simplify 0 into 0
39.213 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U)
39.213 * * * [progress]: simplifying candidates
39.213 * * * * [progress]: [ 1 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 1/2) (* (cos (/ K 2)) (* -2 J))))))>
39.213 * * * * [progress]: [ 2 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (pow (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) 1) (* (cos (/ K 2)) (* -2 J))))))>
39.213 * * * * [progress]: [ 3 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (exp (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))))>
39.213 * * * * [progress]: [ 4 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (log (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))))>
39.213 * * * * [progress]: [ 5 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))))>
39.213 * * * * [progress]: [ 6 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))))>
39.214 * * * * [progress]: [ 7 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))))>
39.214 * * * * [progress]: [ 8 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))))>
39.214 * * * * [progress]: [ 9 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (sqrt 1) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))))>
39.214 * * * * [progress]: [ 10 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (/ (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J))))))>
39.214 * * * * [progress]: [ 11 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (/ (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))))>
39.214 * * * * [progress]: [ 12 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) (/ 1 2)) (* (cos (/ K 2)) (* -2 J))))))>
39.214 * * * * [progress]: [ 13 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))))>
39.214 * * * * [progress]: [ 14 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (fabs (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))))>
39.214 * * * * [progress]: [ 15 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* 1 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))))>
39.214 * * * * [progress]: [ 16 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (posit16->real (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))))>
39.214 * * * * [progress]: [ 17 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 1/2) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.214 * * * * [progress]: [ 18 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (pow (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) 1) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.214 * * * * [progress]: [ 19 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (exp (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.214 * * * * [progress]: [ 20 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (log (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.214 * * * * [progress]: [ 21 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.214 * * * * [progress]: [ 22 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.215 * * * * [progress]: [ 23 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (* (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.215 * * * * [progress]: [ 24 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.215 * * * * [progress]: [ 25 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (* (sqrt 1) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.215 * * * * [progress]: [ 26 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (/ (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.215 * * * * [progress]: [ 27 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (/ (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.215 * * * * [progress]: [ 28 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) (/ 1 2)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.215 * * * * [progress]: [ 29 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.215 * * * * [progress]: [ 30 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (fabs (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.215 * * * * [progress]: [ 31 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (* 1 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.215 * * * * [progress]: [ 32 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (posit16->real (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.215 * * * * [progress]: [ 33 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) 1/2) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.215 * * * * [progress]: [ 34 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (pow (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) 1) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.215 * * * * [progress]: [ 35 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (exp (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.215 * * * * [progress]: [ 36 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (log (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.215 * * * * [progress]: [ 37 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.215 * * * * [progress]: [ 38 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.215 * * * * [progress]: [ 39 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.215 * * * * [progress]: [ 40 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.215 * * * * [progress]: [ 41 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt 1) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.216 * * * * [progress]: [ 42 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (/ (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.216 * * * * [progress]: [ 43 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (/ (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.216 * * * * [progress]: [ 44 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (pow (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1) (/ 1 2)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.216 * * * * [progress]: [ 45 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.216 * * * * [progress]: [ 46 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (fabs (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.216 * * * * [progress]: [ 47 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* 1 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.216 * * * * [progress]: [ 48 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (posit16->real (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.216 * * * * [progress]: [ 49 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (pow (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) 1))))>
39.216 * * * * [progress]: [ 50 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (pow (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) 1))))>
39.216 * * * * [progress]: [ 51 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (pow (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) 1))))>
39.216 * * * * [progress]: [ 52 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (pow (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) 1))))>
39.216 * * * * [progress]: [ 53 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (exp (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (+ (log (cos (/ K 2))) (+ (log -2) (log J))))))))>
39.216 * * * * [progress]: [ 54 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (exp (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (+ (log (cos (/ K 2))) (log (* -2 J))))))))>
39.216 * * * * [progress]: [ 55 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (exp (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (log (* (cos (/ K 2)) (* -2 J))))))))>
39.216 * * * * [progress]: [ 56 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (exp (log (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))))>
39.216 * * * * [progress]: [ 57 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (log (exp (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))))>
39.216 * * * * [progress]: [ 58 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (cbrt (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J))))))))>
39.216 * * * * [progress]: [ 59 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (cbrt (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J))))))))>
39.216 * * * * [progress]: [ 60 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (cbrt (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J))))))))>
39.217 * * * * [progress]: [ 61 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))))>
39.217 * * * * [progress]: [ 62 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (cbrt (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))))>
39.217 * * * * [progress]: [ 63 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (sqrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))))>
39.217 * * * * [progress]: [ 64 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* 1 (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))))))>
39.217 * * * * [progress]: [ 65 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))>
39.217 * * * * [progress]: [ 66 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
39.217 * * * * [progress]: [ 67 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))) (* (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
39.217 * * * * [progress]: [ 68 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
39.217 * * * * [progress]: [ 69 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt 1) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))))))>
39.217 * * * * [progress]: [ 70 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))))>
39.217 * * * * [progress]: [ 71 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* 1 (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))))))>
39.217 * * * * [progress]: [ 72 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (/ (* (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (* (cos (/ K 2)) (* -2 J))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))))>
39.217 * * * * [progress]: [ 73 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (/ (* (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (* (cos (/ K 2)) (* -2 J))) (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
39.217 * * * * [progress]: [ 74 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (posit16->real (real->posit16 (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))))>
39.217 * * * * [progress]: [ 75 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (cos (/ K 2)) (* -2 J)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))))>
39.217 * * * * [progress]: [ 76 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* 1 (* (cos (/ K 2)) (* -2 J))))))>
39.217 * * * * [progress]: [ 77 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* (cos (/ K 2)) (* -2 J))))))>
39.217 * * * * [progress]: [ 78 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* (cos (/ K 2)) (* -2 J))))))>
39.217 * * * * [progress]: [ 79 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* 1 (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.217 * * * * [progress]: [ 80 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.218 * * * * [progress]: [ 81 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.218 * * * * [progress]: [ 82 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* 1 (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.218 * * * * [progress]: [ 83 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.218 * * * * [progress]: [ 84 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))>
39.218 * * * * [progress]: [ 85 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))))))>
39.218 * * * * [progress]: [ 86 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* -1 U))))>
39.218 * * * * [progress]: [ 87 / 87 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* -1 U))))>
39.219 * [simplify]: Simplifying:
  (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3)))
  (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1)))
  (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (/ 1 2)
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3)))
  (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1)))
  (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (/ 1 2)
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (exp (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (* (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt 1)
  (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3)))
  (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))))
  (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1)))
  (sqrt (- (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))
  (/ 1 2)
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (real->posit16 (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)))
  (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))
  (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))
  (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))
  (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (+ (log (cos (/ K 2))) (+ (log -2) (log J))))
  (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (+ (log (cos (/ K 2))) (log (* -2 J))))
  (+ (log (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (log (* (cos (/ K 2)) (* -2 J))))
  (log (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))
  (exp (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))
  (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J))))
  (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J))))
  (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J))))
  (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))))
  (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))
  (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))
  (sqrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))
  (sqrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))
  (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (cos (/ K 2)))
  (* (cbrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))
  (* (sqrt (cbrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))
  (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))
  (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))
  (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))
  (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))
  (* (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 3) (pow 1 3))) (* (cos (/ K 2)) (* -2 J)))
  (* (sqrt (- (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2)))))) (* 1 1))) (* (cos (/ K 2)) (* -2 J)))
  (real->posit16 (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))
  1
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  1
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  1
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J))))
  (* -1 U)
  (* -1 U)
39.221 * * [simplify]: iteration 1: (102 enodes)
39.261 * * [simplify]: iteration 2: (247 enodes)
39.380 * * [simplify]: iteration 3: (868 enodes)
40.530 * * [simplify]: Extracting #0: cost 33 inf + 0
40.531 * * [simplify]: Extracting #1: cost 312 inf + 2
40.537 * * [simplify]: Extracting #2: cost 950 inf + 951
40.548 * * [simplify]: Extracting #3: cost 1214 inf + 10371
40.560 * * [simplify]: Extracting #4: cost 1261 inf + 15653
40.580 * * [simplify]: Extracting #5: cost 929 inf + 112246
40.669 * * [simplify]: Extracting #6: cost 269 inf + 379110
40.826 * * [simplify]: Extracting #7: cost 7 inf + 503323
41.047 * * [simplify]: Extracting #8: cost 0 inf + 505631
41.269 * * [simplify]: Extracting #9: cost 0 inf + 505537
41.454 * [simplify]: Simplified to:
  (log (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (exp (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (* (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))))
  (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))
  (fabs (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  1
  (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))
  (sqrt (+ 1 (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
  (sqrt (+ (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (- 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
  (sqrt (+ -1 (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
  (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) -1))
  1/2
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (real->posit16 (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (log (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (exp (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (* (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))))
  (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))
  (fabs (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  1
  (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))
  (sqrt (+ 1 (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
  (sqrt (+ (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (- 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
  (sqrt (+ -1 (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
  (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) -1))
  1/2
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (real->posit16 (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (log (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (exp (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (* (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))))
  (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))
  (fabs (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  1
  (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))
  (sqrt (+ 1 (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
  (sqrt (+ (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (- 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
  (sqrt (+ -1 (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))
  (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) -1))
  1/2
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (real->posit16 (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))
  (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2)))
  (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2)))
  (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2)))
  (log (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2))))
  (log (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2))))
  (log (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2))))
  (log (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2))))
  (exp (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2))))
  (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (* (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1) (* -2 (* (cos (/ K 2)) J))) (* (* -2 (* (cos (/ K 2)) J)) (* -2 (* (cos (/ K 2)) J)))))
  (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (* (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1) (* -2 (* (cos (/ K 2)) J))) (* (* -2 (* (cos (/ K 2)) J)) (* -2 (* (cos (/ K 2)) J)))))
  (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (* (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1) (* -2 (* (cos (/ K 2)) J))) (* (* -2 (* (cos (/ K 2)) J)) (* -2 (* (cos (/ K 2)) J)))))
  (* (cbrt (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2)))) (cbrt (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2)))))
  (cbrt (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2))))
  (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (* (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1) (* -2 (* (cos (/ K 2)) J))) (* (* -2 (* (cos (/ K 2)) J)) (* -2 (* (cos (/ K 2)) J)))))
  (sqrt (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2))))
  (sqrt (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2))))
  (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cos (/ K 2)))
  (* (cos (/ K 2)) (- (* (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (* 2 J))))
  (* (cos (/ K 2)) (- (* (* 2 J) (sqrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))))))
  (* (- (* (* 2 J) (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))))) (cos (/ K 2)))
  (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2)))
  (* (- (* (* 2 J) (sqrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))))) (cos (/ K 2)))
  (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2)))
  (* (- (* (sqrt (+ 1 (* (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* 2 J))) (cos (/ K 2)))
  (* (cos (/ K 2)) (- (* (* 2 J) (sqrt (+ -1 (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))))
  (real->posit16 (* (- (* (* 2 J) (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cos (/ K 2))))
  1
  (* (/ 1/2 (cos (* 1/2 K))) (/ U J))
  (* (/ 1/2 (cos (* 1/2 K))) (/ U J))
  1
  (* (/ 1/2 (cos (* 1/2 K))) (/ U J))
  (* (/ 1/2 (cos (* 1/2 K))) (/ U J))
  1
  (* (/ 1/2 (cos (* 1/2 K))) (/ U J))
  (* (/ 1/2 (cos (* 1/2 K))) (/ U J))
  (- (* J -2) (* 1/4 (/ U (/ J U))))
  (- U)
  (- U)
41.486 * * * [progress]: adding candidates to table
43.063 * [progress]: [Phase 3 of 3] Extracting.
43.063 * * [regime]: Finding splitpoints for: (#<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (posit16->real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (cos (/ K 2)))) (* (* (cos (/ K 2)) (* J (* J J))) -8))))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))> #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))> #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (* (/ (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))))) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (- U))>)
43.073 * * * [regime-changes]: Trying 5 branch expressions: ((/ K 2) (cos (/ K 2)) U K J)
43.073 * * * * [regimes]: Trying to branch on (/ K 2) from (#<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (posit16->real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (cos (/ K 2)))) (* (* (cos (/ K 2)) (* J (* J J))) -8))))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))> #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))> #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (* (/ (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))))) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (- U))>)
43.177 * * * * [regimes]: Trying to branch on (/ K 2) from (#<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (posit16->real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (cos (/ K 2)))) (* (* (cos (/ K 2)) (* J (* J J))) -8))))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))> #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))> #<alt (λ (J K U) (- U))>)
43.259 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (#<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (posit16->real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (cos (/ K 2)))) (* (* (cos (/ K 2)) (* J (* J J))) -8))))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))> #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))> #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (* (/ (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))))) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (- U))>)
43.355 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (#<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (posit16->real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (cos (/ K 2)))) (* (* (cos (/ K 2)) (* J (* J J))) -8))))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))> #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))> #<alt (λ (J K U) (- U))>)
43.420 * * * * [regimes]: Trying to branch on U from (#<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (posit16->real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (cos (/ K 2)))) (* (* (cos (/ K 2)) (* J (* J J))) -8))))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))> #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))> #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (* (/ (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))))) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (- U))>)
43.525 * * * * [regimes]: Trying to branch on K from (#<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (posit16->real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (cos (/ K 2)))) (* (* (cos (/ K 2)) (* J (* J J))) -8))))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))> #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))> #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (* (/ (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))))) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (- U))>)
43.624 * * * * [regimes]: Trying to branch on J from (#<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (posit16->real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (cos (/ K 2)))) (* (* (cos (/ K 2)) (* J (* J J))) -8))))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))> #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))> #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (* (/ (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))))) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (- U))>)
43.731 * * * [regime]: Found split indices: #<option (#s(si 6 108) #s(si 8 158) #s(si 6 255))>
43.733 * [binary-search]: Improving bounds with binary search for J and (#<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (posit16->real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (cos (/ K 2)))) (* (* (cos (/ K 2)) (* J (* J J))) -8))))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))> #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))> #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (* (/ (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))))) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (- U))>)
44.110 * [regimes]: Found splitpoints: (#s(sp 6 J -1.7519438251008617e-206) #s(sp 8 J 1.920732154664696e-170) #s(sp 6 J +nan.0)) , with alts (#<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (posit16->real (real->posit16 (* (* J 2) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (cos (/ K 2)))) (* (* (cos (/ K 2)) (* J (* J J))) -8))))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))))> #<alt (λ (J K U) (* (* (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))) (cbrt (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))> #<alt (λ (J K U) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (sqrt (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))> #<alt (λ (J K U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (* (/ (sqrt (+ (pow (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J))))) (- (* 1 1) (* (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1))))) (* (cos (/ K 2)) (* -2 J))))> #<alt (λ (J K U) (- U))>)
44.112 * [simplify]: Simplifying:
  (if (<= J -1.7519438251008617e-206) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J))) (if (<= J 1.920732154664696e-170) (- U) (* (sqrt (+ (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) (* (cos (/ K 2)) (* -2 J)))))
44.112 * * [simplify]: iteration 1: (30 enodes)
44.115 * * [simplify]: iteration 2: (43 enodes)
44.117 * * [simplify]: Extracting #0: cost 1 inf + 0
44.117 * * [simplify]: Extracting #1: cost 6 inf + 0
44.117 * * [simplify]: Extracting #2: cost 13 inf + 0
44.117 * * [simplify]: Extracting #3: cost 14 inf + 3
44.117 * * [simplify]: Extracting #4: cost 13 inf + 311
44.118 * * [simplify]: Extracting #5: cost 13 inf + 608
44.118 * * [simplify]: Extracting #6: cost 13 inf + 610
44.118 * * [simplify]: Extracting #7: cost 13 inf + 754
44.118 * * [simplify]: Extracting #8: cost 11 inf + 1163
44.119 * * [simplify]: Extracting #9: cost 11 inf + 1387
44.119 * * [simplify]: Extracting #10: cost 12 inf + 1387
44.119 * * [simplify]: Extracting #11: cost 9 inf + 1532
44.120 * * [simplify]: Extracting #12: cost 6 inf + 2084
44.121 * * [simplify]: Extracting #13: cost 5 inf + 2569
44.122 * * [simplify]: Extracting #14: cost 1 inf + 5206
44.123 * * [simplify]: Extracting #15: cost 0 inf + 6195
44.125 * [simplify]: Simplified to:
  (if (<= J -1.7519438251008617e-206) (* (* (cos (/ K 2)) (* -2 J)) (sqrt (+ (* (/ U (* (* (cos (* 1/2 K)) J) 2)) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (if (<= J 1.920732154664696e-170) (- U) (* (* (cos (/ K 2)) (* -2 J)) (sqrt (+ (* (/ U (* (* (cos (* 1/2 K)) J) 2)) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))
52.429 * [regime-testing]: Baseline error score: 16.990016732098326
52.433 * [regime-testing]: Oracle error score: 8.479639485300156
52.446 * [regime-testing]: End program error score: 15.615162695422383